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

Time bar (total: 9.7s)

analyze250.0ms (2.6%)

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: 124.0ms
ival-mult: 60.0ms (48.5% of total)
ival-sin: 35.0ms (28.3% of total)
ival-div: 25.0ms (20.2% of total)
const: 4.0ms (3.2% of total)
backward-pass: 1.0ms (0.8% of total)

sample1.4s (14.7%)

Results
1.1s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 942.0ms
ival-sin: 478.0ms (50.7% of total)
ival-mult: 300.0ms (31.8% of total)
ival-div: 143.0ms (15.2% of total)
const: 18.0ms (1.9% of total)
backward-pass: 3.0ms (0.3% of total)
Bogosity

preprocess98.0ms (1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
02045
14631
211430
332930
4105130
5221830
6291230
7319830
8341130
9347530
10356330
11426930
12430130
01214
11910
23010
33910
44210
04210
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x))
Outputs
(/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
Call 2
Inputs
(/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x))
(/ (* (* (/ 8 3) (sin (* (neg x) 1/2))) (sin (* (neg x) 1/2))) (sin (neg x)))
(neg (/ (* (* (/ 8 3) (sin (* (neg x) 1/2))) (sin (* (neg x) 1/2))) (sin (neg x))))
Outputs
(/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x))
(* (square (sin (* x 1/2))) (/ 8/3 (sin x)))
(/ (* (* (/ 8 3) (sin (* (neg x) 1/2))) (sin (* (neg x) 1/2))) (sin (neg x)))
(* (square (sin (* x 1/2))) (/ -8/3 (sin x)))
(neg (/ (* (* (/ 8 3) (sin (* (neg x) 1/2))) (sin (* (neg x) 1/2))) (sin (neg x))))
(* (square (sin (* x 1/2))) (/ 8/3 (sin x)))
Symmetry

(negabs x)

explain139.0ms (1.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
640-1(3.107914966375625e-157)(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
00-0-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)
0120(7.457125833986247e+48)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
99.0ms512×0valid
Compiler

Compiled 127 to 35 computations (72.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-sin: 44.0ms (63.9% of total)
ival-mult: 13.0ms (18.9% of total)
ival-div: 10.0ms (14.5% of total)
const: 1.0ms (1.5% 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
▶76.5%
(/.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)

simplify12.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

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

Useful iterations: 1 (0.0ms)

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

localize104.0ms (1.1%)

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))))
✓accuracy76.8%
(/.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))))
✓accuracy99.4%
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
✓accuracy99.4%
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
Results
51.0ms256×0valid
Compiler

Compiled 94 to 16 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-sin: 11.0ms (35.9% of total)
ival-mult: 9.0ms (29.4% of total)
ival-div: 6.0ms (19.6% of total)
...c/correct-round.rkt:119:19: 4.0ms (13% of total)
const: 1.0ms (3.3% of total)
backward-pass: 0.0ms (0% of total)

series12.0ms (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
2.0ms
x
@-inf
(/ 8/3 (sin x))
1.0ms
x
@0
(/ 8/3 (sin x))
1.0ms
x
@inf
(* (sin (* x 1/2)) (* (sin (* x 1/2)) (/ 8/3 (sin x))))
1.0ms
x
@-inf
(* (sin (* x 1/2)) (* (sin (* x 1/2)) (/ 8/3 (sin x))))
1.0ms
x
@inf
(* x 1/2)

rewrite341.0ms (3.5%)

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

Useful iterations: 3 (0.0ms)

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

simplify251.0ms (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
1415734
21201731
33832731
44903731
56263731
66791731
77270731
08135731
Stop Event
1×iter limit
1×node limit
Counts
108 → 108
Calls
Call 1
Inputs
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 1/2 x)
(* x (+ 1/2 (* -1/48 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
4/3
(+ 4/3 (* 1/6 (pow x 2)))
(+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))
(+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2)))))))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 4/3 x)
(* x (+ 4/3 (* -1/18 (pow x 2))))
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(/ 8/3 x)
(/ (+ 8/3 (* 4/9 (pow x 2))) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x)
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
Outputs
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 binary64))))))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* -1/48 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/48 binary64)))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) #s(literal 1/3840 binary64))))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3840 binary64) (*.f64 (*.f64 x x) #s(literal -1/645120 binary64)))))))))
(sin (* 1/2 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin (* 1/2 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin (* 1/2 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin (* 1/2 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin (* 1/2 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin (* 1/2 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin (* 1/2 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin (* 1/2 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
4/3
#s(literal 4/3 binary64)
(+ 4/3 (* 1/6 (pow x 2)))
(+.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))
(+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 5/288 binary64)))))
(+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2)))))))
(+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 5/288 binary64) (*.f64 (*.f64 x x) #s(literal 61/34560 binary64)))))))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 binary64))))))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 2/3 (pow x 2))
(*.f64 #s(literal 2/3 binary64) (*.f64 x x))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal -1/18 binary64)))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x #s(literal 1/540 binary64)))))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/540 binary64) (*.f64 x (*.f64 x #s(literal -1/30240 binary64)))))))))))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 4/3 x)
(*.f64 x #s(literal 4/3 binary64))
(* x (+ 4/3 (* -1/18 (pow x 2))))
(*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x #s(literal -1/18 binary64)))))
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/1440 binary64))))))
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
(*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ 8/3 x)
(/.f64 #s(literal 8/3 binary64) x)
(/ (+ 8/3 (* 4/9 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 8/3 binary64) (*.f64 x (*.f64 x #s(literal 4/9 binary64)))) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)
(/.f64 (+.f64 #s(literal 8/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 7/135 binary64)))))) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x)
(/.f64 (+.f64 #s(literal 8/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/135 binary64) (*.f64 (*.f64 x x) #s(literal 31/5670 binary64))))))) x)
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))))
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)

eval135.0ms (1.4%)

Compiler

Compiled 24333 to 1791 computations (92.6% saved)

prune117.0ms (1.2%)

Pruning

29 alts after pruning (29 fresh and 0 done)

PrunedKeptTotal
New1151291180
Fresh000
Picked202
Done000
Total1153291182
Accuracy
100.0%
Counts
1182 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.4%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 3/4 binary64))
99.6%
(/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
51.4%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
51.3%
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x))
51.4%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
30.7%
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))))))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
▶31.1%
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x #s(literal 1/540 binary64))))))) (sin.f64 x))
29.8%
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/540 binary64) (*.f64 x (*.f64 x #s(literal -1/30240 binary64))))))))))) (sin.f64 x))
76.5%
(/.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))
30.8%
(/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (sin.f64 x))
51.3%
(/.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)))))
51.4%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -3/4 binary64)))
51.3%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))))
51.4%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
51.3%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3/8 binary64)) (/.f64 #s(literal 1/2 binary64) (sin.f64 x)))
▶99.6%
(*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)))
51.3%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)))
51.4%
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
▶51.4%
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))))
99.3%
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) #s(literal 3/8 binary64)))
99.1%
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))))
53.1%
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
74.4%
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -8/3 binary64) (sin.f64 x))))))
56.4%
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
53.1%
(*.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))))))))
53.0%
(*.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)))))))
53.0%
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))
▶76.5%
(*.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)))
▶52.9%
(*.f64 #s(literal 2/3 binary64) x)
Compiler

Compiled 826 to 584 computations (29.3% saved)

simplify202.0ms (2.1%)

Algorithm
1×egg-herbie
Localize:

Found 17 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 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))
✓cost-diff0
(*.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)))
✓cost-diff0
(cos.f64 x)
✓cost-diff0
(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
✓cost-diff6656
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))))
✓cost-diff0
(+.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))))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x #s(literal 1/540 binary64)))))))
✓cost-diff0
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x #s(literal 1/540 binary64))))))) (sin.f64 x))
✓cost-diff0
(*.f64 #s(literal 2/3 binary64) x)
✓cost-diff0
(/.f64 x #s(literal 2 binary64))
✓cost-diff0
(sin.f64 (/.f64 x #s(literal 2 binary64)))
✓cost-diff0
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))
✓cost-diff0
(*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)))
Rules
2382×*-lowering-*.f32
2382×*-lowering-*.f64
1686×sum3-define
1564×fma-lowering-fma.f32
1564×fma-lowering-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035185
183172
2221165
3524165
4997165
51590165
62445165
73104165
85135165
95582165
107226165
08146165
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ (sin (/ x 2)) (sin x)) (/ (sin (/ x 2)) 3/8))
(/ (sin (/ x 2)) (sin x))
(sin (/ x 2))
(/ x 2)
x
2
(sin x)
(/ (sin (/ x 2)) 3/8)
3/8
(* 2/3 x)
2/3
x
(/ (* (* x x) (+ 2/3 (* (* x x) (+ -1/18 (* x (* x 1/540)))))) (sin x))
(* (* x x) (+ 2/3 (* (* x x) (+ -1/18 (* x (* x 1/540))))))
(* x x)
x
(+ 2/3 (* (* x x) (+ -1/18 (* x (* x 1/540)))))
2/3
(* (* x x) (+ -1/18 (* x (* x 1/540))))
(+ -1/18 (* x (* x 1/540)))
-1/18
(* x (* x 1/540))
(* x 1/540)
1/540
(sin x)
(* (- 1 (cos x)) (/ 1 (* (sin x) 3/4)))
(- 1 (cos x))
1
(cos x)
x
(/ 1 (* (sin x) 3/4))
(* (sin x) 3/4)
(sin x)
3/4
(* 8/3 (/ (pow (sin (* x 1/2)) 2) (sin x)))
8/3
(/ (pow (sin (* x 1/2)) 2) (sin x))
(pow (sin (* x 1/2)) 2)
(sin (* x 1/2))
(* x 1/2)
x
1/2
2
(sin x)
Outputs
(* (/ (sin (/ x 2)) (sin x)) (/ (sin (/ x 2)) 3/8))
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))))
(/ (sin (/ x 2)) (sin x))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))
(sin (/ x 2))
(sin.f64 (/.f64 x #s(literal 2 binary64)))
(/ x 2)
(/.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
(sin x)
(sin.f64 x)
(/ (sin (/ x 2)) 3/8)
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64))
3/8
#s(literal 3/8 binary64)
(* 2/3 x)
(*.f64 x #s(literal 2/3 binary64))
2/3
#s(literal 2/3 binary64)
x
(/ (* (* x x) (+ 2/3 (* (* x x) (+ -1/18 (* x (* x 1/540)))))) (sin x))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x #s(literal 1/540 binary64))))))) (sin.f64 x))
(* (* x x) (+ 2/3 (* (* x x) (+ -1/18 (* x (* x 1/540))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x #s(literal 1/540 binary64)))))))
(* x x)
(*.f64 x x)
x
(+ 2/3 (* (* x x) (+ -1/18 (* x (* x 1/540)))))
(+.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))))))
2/3
#s(literal 2/3 binary64)
(* (* x x) (+ -1/18 (* x (* x 1/540))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x #s(literal 1/540 binary64)))))
(+ -1/18 (* x (* x 1/540)))
(+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x #s(literal 1/540 binary64))))
-1/18
#s(literal -1/18 binary64)
(* x (* x 1/540))
(*.f64 x (*.f64 x #s(literal 1/540 binary64)))
(* x 1/540)
(*.f64 x #s(literal 1/540 binary64))
1/540
#s(literal 1/540 binary64)
(sin x)
(sin.f64 x)
(* (- 1 (cos x)) (/ 1 (* (sin x) 3/4)))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
1
#s(literal 1 binary64)
(cos x)
(cos.f64 x)
x
(/ 1 (* (sin x) 3/4))
(/.f64 #s(literal 4/3 binary64) (sin.f64 x))
(* (sin x) 3/4)
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
(sin x)
(sin.f64 x)
3/4
#s(literal 3/4 binary64)
(* 8/3 (/ (pow (sin (* x 1/2)) 2) (sin x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
8/3
#s(literal 8/3 binary64)
(/ (pow (sin (* x 1/2)) 2) (sin x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))
(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)

localize325.0ms (3.3%)

Localize:

Found 17 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) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
✓accuracy76.9%
(/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))
✓accuracy99.7%
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
✓accuracy76.7%
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))))
✓accuracy75.0%
(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓accuracy99.8%
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x #s(literal 1/540 binary64)))))))
✓accuracy99.8%
(*.f64 x (*.f64 x #s(literal 1/540 binary64)))
✓accuracy99.6%
(*.f64 x #s(literal 1/540 binary64))
✓accuracy77.0%
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x #s(literal 1/540 binary64))))))) (sin.f64 x))
✓accuracy99.5%
(*.f64 #s(literal 2/3 binary64) x)
✓accuracy100.0%
(sin.f64 x)
✓accuracy99.8%
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64))
✓accuracy99.8%
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))
✓accuracy99.7%
(*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)))
Results
110.0ms66×2valid
86.0ms124×0valid
51.0ms59×1valid
17.0ms7×3valid
Compiler

Compiled 202 to 36 computations (82.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 177.0ms
ival-mult: 45.0ms (25.4% of total)
ival-cos: 41.0ms (23.1% of total)
ival-sin: 24.0ms (13.5% of total)
...c/correct-round.rkt:119:19: 21.0ms (11.8% of total)
backward-pass: 19.0ms (10.7% of total)
ival-div: 17.0ms (9.6% of total)
ival-pow: 4.0ms (2.3% of total)
ival-add: 4.0ms (2.3% of total)
ival-sub: 3.0ms (1.7% of total)
const: 1.0ms (0.6% of total)

series19.0ms (0.2%)

Counts
22 → 264
Calls
Call 1
Inputs
#<alt (* (/ (sin (/ x 2)) (sin x)) (/ (sin (/ x 2)) 3/8))>
#<alt (/ (sin (/ x 2)) (sin x))>
#<alt (sin (/ x 2))>
#<alt (/ x 2)>
#<alt (* 2/3 x)>
#<alt (/ (* (* x x) (+ 2/3 (* (* x x) (+ -1/18 (* x (* x 1/540)))))) (sin x))>
#<alt (* (* x x) (+ 2/3 (* (* x x) (+ -1/18 (* x (* x 1/540))))))>
#<alt (* x x)>
#<alt (+ 2/3 (* (* x x) (+ -1/18 (* x (* x 1/540)))))>
#<alt (* (- 1 (cos x)) (/ 1 (* (sin x) 3/4)))>
#<alt (/ 1 (* (sin x) 3/4))>
#<alt (- 1 (cos x))>
#<alt (cos x)>
#<alt (* 8/3 (/ (pow (sin (* x 1/2)) 2) (sin x)))>
#<alt (/ (pow (sin (* x 1/2)) 2) (sin x))>
#<alt (pow (sin (* x 1/2)) 2)>
#<alt (sin (* x 1/2))>
#<alt (/ (sin (/ x 2)) 3/8)>
#<alt (sin x)>
#<alt (* x 1/540)>
#<alt (* x (* x 1/540))>
#<alt (* (sin x) 3/4)>
Outputs
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/16 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/48 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 1/1680 (pow x 2))))))))>
#<alt (* 1/540 (/ (pow x 6) (sin x)))>
#<alt (* (pow x 6) (- (* 1/540 (/ 1 (sin x))) (* 1/18 (/ 1 (* (pow x 2) (sin x))))))>
#<alt (* (pow x 6) (- (+ (/ 2/3 (* (pow x 4) (sin x))) (* 1/540 (/ 1 (sin x)))) (/ 1/18 (* (pow x 2) (sin x)))))>
#<alt (* (pow x 6) (- (+ (/ 2/3 (* (pow x 4) (sin x))) (* 1/540 (/ 1 (sin x)))) (/ 1/18 (* (pow x 2) (sin x)))))>
#<alt (* 1/540 (/ (pow x 6) (sin x)))>
#<alt (* (pow x 6) (- (* 1/540 (/ 1 (sin x))) (* 1/18 (/ 1 (* (pow x 2) (sin x))))))>
#<alt (* (pow x 6) (- (+ (/ 2/3 (* (pow x 4) (sin x))) (* 1/540 (/ 1 (sin x)))) (/ 1/18 (* (pow x 2) (sin x)))))>
#<alt (* (pow x 6) (- (+ (/ 2/3 (* (pow x 4) (sin x))) (* 1/540 (/ 1 (sin x)))) (/ 1/18 (* (pow 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) (- (* 1/540 (pow x 2)) 1/18))))>
#<alt (* 1/540 (pow x 6))>
#<alt (* (pow x 6) (- 1/540 (* 1/18 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2)))))>
#<alt (* 1/540 (pow x 6))>
#<alt (* (pow x 6) (- 1/540 (* 1/18 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 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>
#<alt (+ 2/3 (* -1/18 (pow x 2)))>
#<alt (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))>
#<alt (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))>
#<alt (* 1/540 (pow x 4))>
#<alt (* (pow x 4) (- 1/540 (* 1/18 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2)))))>
#<alt (* 1/540 (pow x 4))>
#<alt (* (pow x 4) (- 1/540 (* 1/18 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (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 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (/ 4/3 x)>
#<alt (/ (+ 4/3 (* 2/9 (pow x 2))) x)>
#<alt (/ (+ 4/3 (* (pow x 2) (+ 2/9 (* 7/270 (pow x 2))))) x)>
#<alt (/ (+ 4/3 (* (pow x 2) (+ 2/9 (* (pow x 2) (+ 7/270 (* 31/11340 (pow x 2))))))) x)>
#<alt (/ 4/3 (sin x))>
#<alt (/ 4/3 (sin x))>
#<alt (/ 4/3 (sin x))>
#<alt (/ 4/3 (sin x))>
#<alt (/ 4/3 (sin x))>
#<alt (/ 4/3 (sin x))>
#<alt (/ 4/3 (sin x))>
#<alt (/ 4/3 (sin x))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 1/4 x)>
#<alt (* x (+ 1/4 (* 1/48 (pow x 2))))>
#<alt (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))>
#<alt (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))>
#<alt (/ (pow (sin (* 1/2 x)) 2) (sin x))>
#<alt (/ (pow (sin (* 1/2 x)) 2) (sin x))>
#<alt (/ (pow (sin (* 1/2 x)) 2) (sin x))>
#<alt (/ (pow (sin (* 1/2 x)) 2) (sin x))>
#<alt (/ (pow (sin (* 1/2 x)) 2) (sin x))>
#<alt (/ (pow (sin (* 1/2 x)) 2) (sin x))>
#<alt (/ (pow (sin (* 1/2 x)) 2) (sin x))>
#<alt (/ (pow (sin (* 1/2 x)) 2) (sin x))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))>
#<alt (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 (* 4/3 x)>
#<alt (* x (+ 4/3 (* -1/18 (pow x 2))))>
#<alt (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))>
#<alt (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (* 1/540 x)>
#<alt (* 1/540 x)>
#<alt (* 1/540 x)>
#<alt (* 1/540 x)>
#<alt (* 1/540 x)>
#<alt (* 1/540 x)>
#<alt (* 1/540 x)>
#<alt (* 1/540 x)>
#<alt (* 1/540 x)>
#<alt (* 1/540 x)>
#<alt (* 1/540 x)>
#<alt (* 1/540 x)>
#<alt (* 1/540 (pow x 2))>
#<alt (* 1/540 (pow x 2))>
#<alt (* 1/540 (pow x 2))>
#<alt (* 1/540 (pow x 2))>
#<alt (* 1/540 (pow x 2))>
#<alt (* 1/540 (pow x 2))>
#<alt (* 1/540 (pow x 2))>
#<alt (* 1/540 (pow x 2))>
#<alt (* 1/540 (pow x 2))>
#<alt (* 1/540 (pow x 2))>
#<alt (* 1/540 (pow x 2))>
#<alt (* 1/540 (pow x 2))>
#<alt (* 3/4 x)>
#<alt (* x (+ 3/4 (* -1/8 (pow x 2))))>
#<alt (* x (+ 3/4 (* (pow x 2) (- (* 1/160 (pow x 2)) 1/8))))>
#<alt (* x (+ 3/4 (* (pow x 2) (- (* (pow x 2) (+ 1/160 (* -1/6720 (pow x 2)))) 1/8))))>
#<alt (* 3/4 (sin x))>
#<alt (* 3/4 (sin x))>
#<alt (* 3/4 (sin x))>
#<alt (* 3/4 (sin x))>
#<alt (* 3/4 (sin x))>
#<alt (* 3/4 (sin x))>
#<alt (* 3/4 (sin x))>
#<alt (* 3/4 (sin x))>
Calls

66 calls:

TimeVariablePointExpression
7.0ms
x
@0
(- 1 (cos x))
1.0ms
x
@inf
(/ (* (* x x) (+ 2/3 (* (* x x) (+ -1/18 (* x (* x 1/540)))))) (sin x))
1.0ms
x
@-inf
(* (- 1 (cos x)) (/ 1 (* (sin x) 3/4)))
1.0ms
x
@inf
(* (- 1 (cos x)) (/ 1 (* (sin x) 3/4)))
0.0ms
x
@-inf
(/ 1 (* (sin x) 3/4))

rewrite342.0ms (3.5%)

Algorithm
1×batch-egg-rewrite
Rules
3930×*-lowering-*.f32
3930×*-lowering-*.f64
3546×/-lowering-/.f32
3546×/-lowering-/.f64
1578×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035141
1177130
21217127
08338127
Stop Event
1×iter limit
1×node limit
Counts
22 → 868
Calls
Call 1
Inputs
(* (/ (sin (/ x 2)) (sin x)) (/ (sin (/ x 2)) 3/8))
(/ (sin (/ x 2)) (sin x))
(sin (/ x 2))
(/ x 2)
(* 2/3 x)
(/ (* (* x x) (+ 2/3 (* (* x x) (+ -1/18 (* x (* x 1/540)))))) (sin x))
(* (* x x) (+ 2/3 (* (* x x) (+ -1/18 (* x (* x 1/540))))))
(* x x)
(+ 2/3 (* (* x x) (+ -1/18 (* x (* x 1/540)))))
(* (- 1 (cos x)) (/ 1 (* (sin x) 3/4)))
(/ 1 (* (sin x) 3/4))
(- 1 (cos x))
(cos x)
(* 8/3 (/ (pow (sin (* x 1/2)) 2) (sin x)))
(/ (pow (sin (* x 1/2)) 2) (sin x))
(pow (sin (* x 1/2)) 2)
(sin (* x 1/2))
(/ (sin (/ x 2)) 3/8)
(sin x)
(* x 1/540)
(* x (* x 1/540))
(* (sin x) 3/4)
Outputs
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (sin.f64 x) #s(literal -3/8 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (*.f64 (sin.f64 x) #s(literal -3/8 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 3/8 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 3/8 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 3/8 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (*.f64 #s(literal 3/8 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -3/8 binary64) (sin.f64 x))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (*.f64 #s(literal -3/8 binary64) (sin.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64))))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 3/8 binary64)))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 3/8 binary64) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 x)))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal -3/8 binary64)))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (sin.f64 x))))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -3/8 binary64))))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 (*.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (sin.f64 x)))))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)))))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))))))
(/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 3/8 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (sin.f64 x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))) #s(literal 8/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 x) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64))) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 3/8 binary64)) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 x)) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -3/8 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (sin.f64 x))) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))) #s(literal 8/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))))
(/.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal -3/8 binary64)))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (*.f64 #s(literal -3/8 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (neg.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 3/8 binary64))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (neg.f64 (*.f64 #s(literal 3/8 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x)))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (neg.f64 (*.f64 #s(literal -3/8 binary64) (sin.f64 x))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))))))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))))
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(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -3/8 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (sin.f64 x))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal 3/8 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (sin.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 (sin.f64 x) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (neg.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (neg.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 3/8 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (neg.f64 (*.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 x))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))) (*.f64 (sin.f64 x) #s(literal -3/8 binary64)))
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(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))))
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(/.f64 #s(literal -8/3 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))))))
(/.f64 (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))))) (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(/.f64 (*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal -3/8 binary64))
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(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))) #s(literal 8/3 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal -3/8 binary64))
(/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (sin.f64 x))))
(/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))))
(/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 3/8 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) (*.f64 #s(literal -3/8 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))))))
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(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 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 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) #s(literal 1 binary64))
(*.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 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))) #s(literal 1/2 binary64))
(exp.f64 (log.f64 (sin.f64 (/.f64 x #s(literal 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))))
(pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (sin.f64 (/.f64 x #s(literal 2 binary64)))) #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)))))
(*.f64 (sqrt.f64 (sin.f64 (/.f64 x #s(literal 2 binary64)))) (sqrt.f64 (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3/8 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 -3/8 binary64)))
(neg.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/8 binary64)))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 3/8 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 -3/8 binary64))
(pow.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 8/3 binary64))
(*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 8/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/8 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 3/8 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 -8/3 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 3/8 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 x)))
(sin.f64 x)
(neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(/.f64 (sin.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal -1 binary64))
(*.f64 (sin.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(*.f64 x #s(literal 1/540 binary64))
(*.f64 #s(literal 1/540 binary64) x)
(*.f64 x (*.f64 x #s(literal 1/540 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/540 binary64))
(*.f64 #s(literal 1/540 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/540 binary64)) x)
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 x) #s(literal -3/4 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) #s(literal -1 binary64)))
(neg.f64 (*.f64 (sin.f64 x) #s(literal -3/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x))))
(/.f64 (*.f64 (sin.f64 x) #s(literal -3/4 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -3/4 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(pow.f64 (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) #s(literal -1 binary64))
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
(*.f64 #s(literal 3/4 binary64) (sin.f64 x))
(*.f64 (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 x) #s(literal -3/4 binary64)))
(*.f64 (*.f64 (sin.f64 x) #s(literal -3/4 binary64)) #s(literal -1 binary64))

simplify374.0ms (3.9%)

Algorithm
1×egg-herbie
Rules
4478×+-lowering-+.f64
4478×+-lowering-+.f32
3456×*-lowering-*.f32
3456×*-lowering-*.f64
1456×sum3-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02701980
17881702
222641702
343341702
471511702
081001702
Stop Event
1×iter limit
1×node limit
Counts
264 → 264
Calls
Call 1
Inputs
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
1/2
(+ 1/2 (* 1/16 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(* 1/2 x)
(* x (+ 1/2 (* -1/48 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 1/1680 (pow x 2))))))))
(* 1/540 (/ (pow x 6) (sin x)))
(* (pow x 6) (- (* 1/540 (/ 1 (sin x))) (* 1/18 (/ 1 (* (pow x 2) (sin x))))))
(* (pow x 6) (- (+ (/ 2/3 (* (pow x 4) (sin x))) (* 1/540 (/ 1 (sin x)))) (/ 1/18 (* (pow x 2) (sin x)))))
(* (pow x 6) (- (+ (/ 2/3 (* (pow x 4) (sin x))) (* 1/540 (/ 1 (sin x)))) (/ 1/18 (* (pow x 2) (sin x)))))
(* 1/540 (/ (pow x 6) (sin x)))
(* (pow x 6) (- (* 1/540 (/ 1 (sin x))) (* 1/18 (/ 1 (* (pow x 2) (sin x))))))
(* (pow x 6) (- (+ (/ 2/3 (* (pow x 4) (sin x))) (* 1/540 (/ 1 (sin x)))) (/ 1/18 (* (pow x 2) (sin x)))))
(* (pow x 6) (- (+ (/ 2/3 (* (pow x 4) (sin x))) (* 1/540 (/ 1 (sin x)))) (/ 1/18 (* (pow 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) (- (* 1/540 (pow x 2)) 1/18))))
(* 1/540 (pow x 6))
(* (pow x 6) (- 1/540 (* 1/18 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2)))))
(* 1/540 (pow x 6))
(* (pow x 6) (- 1/540 (* 1/18 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 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
(+ 2/3 (* -1/18 (pow x 2)))
(+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))
(+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))
(* 1/540 (pow x 4))
(* (pow x 4) (- 1/540 (* 1/18 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2)))))
(* 1/540 (pow x 4))
(* (pow x 4) (- 1/540 (* 1/18 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (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 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(/ 4/3 x)
(/ (+ 4/3 (* 2/9 (pow x 2))) x)
(/ (+ 4/3 (* (pow x 2) (+ 2/9 (* 7/270 (pow x 2))))) x)
(/ (+ 4/3 (* (pow x 2) (+ 2/9 (* (pow x 2) (+ 7/270 (* 31/11340 (pow x 2))))))) x)
(/ 4/3 (sin x))
(/ 4/3 (sin x))
(/ 4/3 (sin x))
(/ 4/3 (sin x))
(/ 4/3 (sin x))
(/ 4/3 (sin x))
(/ 4/3 (sin x))
(/ 4/3 (sin x))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 1/4 x)
(* x (+ 1/4 (* 1/48 (pow x 2))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))
(/ (pow (sin (* 1/2 x)) 2) (sin x))
(/ (pow (sin (* 1/2 x)) 2) (sin x))
(/ (pow (sin (* 1/2 x)) 2) (sin x))
(/ (pow (sin (* 1/2 x)) 2) (sin x))
(/ (pow (sin (* 1/2 x)) 2) (sin x))
(/ (pow (sin (* 1/2 x)) 2) (sin x))
(/ (pow (sin (* 1/2 x)) 2) (sin x))
(/ (pow (sin (* 1/2 x)) 2) (sin x))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))
(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))
(* 4/3 x)
(* x (+ 4/3 (* -1/18 (pow x 2))))
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(* 1/540 x)
(* 1/540 x)
(* 1/540 x)
(* 1/540 x)
(* 1/540 x)
(* 1/540 x)
(* 1/540 x)
(* 1/540 x)
(* 1/540 x)
(* 1/540 x)
(* 1/540 x)
(* 1/540 x)
(* 1/540 (pow x 2))
(* 1/540 (pow x 2))
(* 1/540 (pow x 2))
(* 1/540 (pow x 2))
(* 1/540 (pow x 2))
(* 1/540 (pow x 2))
(* 1/540 (pow x 2))
(* 1/540 (pow x 2))
(* 1/540 (pow x 2))
(* 1/540 (pow x 2))
(* 1/540 (pow x 2))
(* 1/540 (pow x 2))
(* 3/4 x)
(* x (+ 3/4 (* -1/8 (pow x 2))))
(* x (+ 3/4 (* (pow x 2) (- (* 1/160 (pow x 2)) 1/8))))
(* x (+ 3/4 (* (pow x 2) (- (* (pow x 2) (+ 1/160 (* -1/6720 (pow x 2)))) 1/8))))
(* 3/4 (sin x))
(* 3/4 (sin x))
(* 3/4 (sin x))
(* 3/4 (sin x))
(* 3/4 (sin x))
(* 3/4 (sin x))
(* 3/4 (sin x))
(* 3/4 (sin x))
Outputs
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 binary64)))))))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
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(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 binary64)))))))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(* x (+ 1/4 (* 1/48 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x #s(literal 1/48 binary64)))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/48 binary64) (*.f64 x (*.f64 x #s(literal 1/480 binary64)))))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 17/80640 binary64)))))))))
(/ (pow (sin (* 1/2 x)) 2) (sin x))
(/.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (sin.f64 x))
(/ (pow (sin (* 1/2 x)) 2) (sin x))
(/.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (sin.f64 x))
(/ (pow (sin (* 1/2 x)) 2) (sin x))
(/.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (sin.f64 x))
(/ (pow (sin (* 1/2 x)) 2) (sin x))
(/.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (sin.f64 x))
(/ (pow (sin (* 1/2 x)) 2) (sin x))
(/.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (sin.f64 x))
(/ (pow (sin (* 1/2 x)) 2) (sin x))
(/.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (sin.f64 x))
(/ (pow (sin (* 1/2 x)) 2) (sin x))
(/.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (sin.f64 x))
(/ (pow (sin (* 1/2 x)) 2) (sin x))
(/.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (sin.f64 x))
(* 1/4 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/4 binary64)))
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/48 binary64) (*.f64 x (*.f64 x #s(literal 1/1440 binary64))))))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/80640 binary64))))))))
(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 x (*.f64 x (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) #s(literal 1/3840 binary64)))))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3840 binary64) (*.f64 (*.f64 x x) #s(literal -1/645120 binary64))))))))
(sin (* 1/2 x))
(sin.f64 (/.f64 x #s(literal 2 binary64)))
(sin (* 1/2 x))
(sin.f64 (/.f64 x #s(literal 2 binary64)))
(sin (* 1/2 x))
(sin.f64 (/.f64 x #s(literal 2 binary64)))
(sin (* 1/2 x))
(sin.f64 (/.f64 x #s(literal 2 binary64)))
(sin (* 1/2 x))
(sin.f64 (/.f64 x #s(literal 2 binary64)))
(sin (* 1/2 x))
(sin.f64 (/.f64 x #s(literal 2 binary64)))
(sin (* 1/2 x))
(sin.f64 (/.f64 x #s(literal 2 binary64)))
(sin (* 1/2 x))
(sin.f64 (/.f64 x #s(literal 2 binary64)))
(* 4/3 x)
(*.f64 x #s(literal 4/3 binary64))
(* x (+ 4/3 (* -1/18 (pow x 2))))
(*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -1/18 binary64)) #s(literal 4/3 binary64)))
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x #s(literal 1/1440 binary64))))))))
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
(*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))))
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(* 1/540 x)
(*.f64 x #s(literal 1/540 binary64))
(* 1/540 x)
(*.f64 x #s(literal 1/540 binary64))
(* 1/540 x)
(*.f64 x #s(literal 1/540 binary64))
(* 1/540 x)
(*.f64 x #s(literal 1/540 binary64))
(* 1/540 x)
(*.f64 x #s(literal 1/540 binary64))
(* 1/540 x)
(*.f64 x #s(literal 1/540 binary64))
(* 1/540 x)
(*.f64 x #s(literal 1/540 binary64))
(* 1/540 x)
(*.f64 x #s(literal 1/540 binary64))
(* 1/540 x)
(*.f64 x #s(literal 1/540 binary64))
(* 1/540 x)
(*.f64 x #s(literal 1/540 binary64))
(* 1/540 x)
(*.f64 x #s(literal 1/540 binary64))
(* 1/540 x)
(*.f64 x #s(literal 1/540 binary64))
(* 1/540 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/540 binary64))
(* 1/540 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/540 binary64))
(* 1/540 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/540 binary64))
(* 1/540 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/540 binary64))
(* 1/540 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/540 binary64))
(* 1/540 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/540 binary64))
(* 1/540 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/540 binary64))
(* 1/540 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/540 binary64))
(* 1/540 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/540 binary64))
(* 1/540 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/540 binary64))
(* 1/540 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/540 binary64))
(* 1/540 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/540 binary64))
(* 3/4 x)
(*.f64 x #s(literal 3/4 binary64))
(* x (+ 3/4 (* -1/8 (pow x 2))))
(*.f64 x (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))
(* x (+ 3/4 (* (pow x 2) (- (* 1/160 (pow x 2)) 1/8))))
(*.f64 x (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal 1/160 binary64))))))
(* x (+ 3/4 (* (pow x 2) (- (* (pow x 2) (+ 1/160 (* -1/6720 (pow x 2)))) 1/8))))
(*.f64 x (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/160 binary64) (*.f64 x (*.f64 x #s(literal -1/6720 binary64)))))))))
(* 3/4 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
(* 3/4 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
(* 3/4 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
(* 3/4 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
(* 3/4 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
(* 3/4 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
(* 3/4 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
(* 3/4 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))

eval169.0ms (1.7%)

Compiler

Compiled 27981 to 2505 computations (91% saved)

prune170.0ms (1.8%)

Pruning

22 alts after pruning (20 fresh and 2 done)

PrunedKeptTotal
New1248161264
Fresh20424
Picked325
Done000
Total1271221293
Accuracy
100.0%
Counts
1293 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.4%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 3/4 binary64))
51.4%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3/4 binary64)) (sin.f64 x))
51.4%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
29.9%
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x #s(literal 1/540 binary64))))))) (*.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)))))))))
29.9%
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x #s(literal 1/540 binary64))))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
▶29.7%
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x #s(literal 1/540 binary64))))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
▶29.6%
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x #s(literal 1/540 binary64))))))) x)
▶99.8%
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
▶99.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
51.3%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))))
51.3%
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 3/4 binary64)))
99.5%
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
74.4%
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -8/3 binary64) (sin.f64 x))))))
53.0%
(*.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 1/1680 binary64))))))))
53.1%
(*.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))))))))
53.0%
(*.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))))))
▶53.0%
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
✓76.5%
(*.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)))
53.1%
(*.f64 #s(literal 8/3 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 17/80640 binary64))))))))))
53.0%
(*.f64 #s(literal 8/3 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/48 binary64) (*.f64 x (*.f64 x #s(literal 1/480 binary64))))))))
53.0%
(*.f64 #s(literal 8/3 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x #s(literal 1/48 binary64))))))
✓52.9%
(*.f64 #s(literal 2/3 binary64) x)
Compiler

Compiled 724 to 473 computations (34.7% saved)

simplify304.0ms (3.1%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 x #s(literal 2 binary64))
✓cost-diff0
(tan.f64 (/.f64 x #s(literal 2 binary64)))
✓cost-diff0
(/.f64 #s(literal 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)))))
✓cost-diff0
(+.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))))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x #s(literal 1/540 binary64)))))))
✓cost-diff256
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x #s(literal 1/540 binary64))))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
✓cost-diff0
(+.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))))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x #s(literal 1/540 binary64)))))))
✓cost-diff256
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x #s(literal 1/540 binary64))))))) x)
✓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-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
5954×*-lowering-*.f32
5954×*-lowering-*.f64
2128×distribute-lft-in
2012×+-lowering-+.f64
2012×+-lowering-+.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030228
190207
2249200
3707200
41597200
54091200
65019200
75285200
85590200
96028200
106632200
08516200
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (tan (/ x 2)) 3/4)
(tan (/ x 2))
(/ x 2)
x
2
3/4
(* 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 x) (+ 2/3 (* (* x x) (+ -1/18 (* x (* x 1/540)))))) x)
(* (* x x) (+ 2/3 (* (* x x) (+ -1/18 (* x (* x 1/540))))))
(* x x)
x
(+ 2/3 (* (* x x) (+ -1/18 (* x (* x 1/540)))))
2/3
(* (* x x) (+ -1/18 (* x (* x 1/540))))
(+ -1/18 (* x (* x 1/540)))
-1/18
(* x (* x 1/540))
(* x 1/540)
1/540
(/ (* (* x x) (+ 2/3 (* (* x x) (+ -1/18 (* x (* x 1/540)))))) (* x (+ 1 (* (* x x) -1/6))))
(* (* x x) (+ 2/3 (* (* x x) (+ -1/18 (* x (* x 1/540))))))
(* x x)
x
(+ 2/3 (* (* x x) (+ -1/18 (* x (* x 1/540)))))
2/3
(* (* x x) (+ -1/18 (* x (* x 1/540))))
(+ -1/18 (* x (* x 1/540)))
-1/18
(* x (* x 1/540))
(* x 1/540)
1/540
(* x (+ 1 (* (* x x) -1/6)))
(+ 1 (* (* x x) -1/6))
1
(* (* x x) -1/6)
-1/6
(/ 1 (/ 3/4 (tan (/ x 2))))
1
(/ 3/4 (tan (/ x 2)))
3/4
(tan (/ x 2))
(/ x 2)
x
2
Outputs
(/ (tan (/ x 2)) 3/4)
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
(tan (/ x 2))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/ x 2)
(/.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
3/4
#s(literal 3/4 binary64)
(* 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 x) (+ 2/3 (* (* x x) (+ -1/18 (* x (* x 1/540)))))) x)
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/540 binary64))))))
(* (* x x) (+ 2/3 (* (* x x) (+ -1/18 (* x (* x 1/540))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/540 binary64))))))
(* x x)
(*.f64 x x)
x
(+ 2/3 (* (* x x) (+ -1/18 (* x (* x 1/540)))))
(+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/540 binary64)))))
2/3
#s(literal 2/3 binary64)
(* (* x x) (+ -1/18 (* x (* x 1/540))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/540 binary64))))
(+ -1/18 (* x (* x 1/540)))
(+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/540 binary64)))
-1/18
#s(literal -1/18 binary64)
(* x (* x 1/540))
(*.f64 (*.f64 x x) #s(literal 1/540 binary64))
(* x 1/540)
(*.f64 x #s(literal 1/540 binary64))
1/540
#s(literal 1/540 binary64)
(/ (* (* x x) (+ 2/3 (* (* x x) (+ -1/18 (* x (* x 1/540)))))) (* x (+ 1 (* (* x x) -1/6))))
(*.f64 x (/.f64 (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/540 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))))
(* (* x x) (+ 2/3 (* (* x x) (+ -1/18 (* x (* x 1/540))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/540 binary64))))))
(* x x)
(*.f64 x x)
x
(+ 2/3 (* (* x x) (+ -1/18 (* x (* x 1/540)))))
(+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/540 binary64)))))
2/3
#s(literal 2/3 binary64)
(* (* x x) (+ -1/18 (* x (* x 1/540))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/540 binary64))))
(+ -1/18 (* x (* x 1/540)))
(+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/540 binary64)))
-1/18
#s(literal -1/18 binary64)
(* x (* x 1/540))
(*.f64 (*.f64 x x) #s(literal 1/540 binary64))
(* x 1/540)
(*.f64 x #s(literal 1/540 binary64))
1/540
#s(literal 1/540 binary64)
(* x (+ 1 (* (* x x) -1/6)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(+ 1 (* (* x x) -1/6))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))
1
#s(literal 1 binary64)
(* (* x x) -1/6)
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
-1/6
#s(literal -1/6 binary64)
(/ 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)

localize179.0ms (1.8%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 x #s(literal 2 binary64))
✓accuracy100.0%
(tan.f64 (/.f64 x #s(literal 2 binary64)))
✓accuracy99.8%
(/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
✓accuracy99.8%
(*.f64 x (*.f64 x #s(literal 1/540 binary64)))
✓accuracy99.7%
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
✓accuracy99.6%
(*.f64 x #s(literal 1/540 binary64))
✓accuracy41.2%
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x #s(literal 1/540 binary64))))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
✓accuracy99.8%
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x #s(literal 1/540 binary64)))))))
✓accuracy99.8%
(*.f64 x (*.f64 x #s(literal 1/540 binary64)))
✓accuracy99.6%
(*.f64 x #s(literal 1/540 binary64))
✓accuracy76.3%
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x #s(literal 1/540 binary64))))))) x)
✓accuracy100.0%
(+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64))))
✓accuracy99.8%
(*.f64 x (*.f64 x #s(literal 1/18 binary64)))
✓accuracy99.7%
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
✓accuracy99.5%
(*.f64 x #s(literal 1/18 binary64))
✓accuracy100.0%
(/.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
127.0ms256×0valid
Compiler

Compiled 265 to 31 computations (88.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
...c/correct-round.rkt:119:19: 23.0ms (35.5% of total)
ival-mult: 19.0ms (29.3% of total)
ival-div: 10.0ms (15.4% of total)
ival-tan: 6.0ms (9.3% of total)
ival-add: 5.0ms (7.7% of total)
const: 1.0ms (1.5% of total)
backward-pass: 0.0ms (0% of total)

series10.0ms (0.1%)

Counts
17 → 204
Calls
Call 1
Inputs
#<alt (/ (tan (/ x 2)) 3/4)>
#<alt (tan (/ x 2))>
#<alt (/ x 2)>
#<alt (* x (+ 2/3 (* x (* x 1/18))))>
#<alt (+ 2/3 (* x (* x 1/18)))>
#<alt (* x (* x 1/18))>
#<alt (* x 1/18)>
#<alt (/ (* (* x x) (+ 2/3 (* (* x x) (+ -1/18 (* x (* x 1/540)))))) x)>
#<alt (* (* x x) (+ 2/3 (* (* x x) (+ -1/18 (* x (* x 1/540))))))>
#<alt (* x x)>
#<alt (+ 2/3 (* (* x x) (+ -1/18 (* x (* x 1/540)))))>
#<alt (/ (* (* x x) (+ 2/3 (* (* x x) (+ -1/18 (* x (* x 1/540)))))) (* x (+ 1 (* (* x x) -1/6))))>
#<alt (/ 1 (/ 3/4 (tan (/ x 2))))>
#<alt (/ 3/4 (tan (/ x 2)))>
#<alt (* x 1/540)>
#<alt (* x (* x 1/540))>
#<alt (* (* x x) -1/6)>
Outputs
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* 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) (- (* 1/540 (pow x 2)) 1/18))))>
#<alt (* x (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))>
#<alt (* 1/540 (pow x 5))>
#<alt (* (pow x 5) (- 1/540 (* 1/18 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2)))))>
#<alt (* 1/540 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/18 (/ 1 (pow x 2))) 1/540)))>
#<alt (* -1 (* (pow x 5) (- (* 1/18 (/ 1 (pow x 2))) (+ 1/540 (/ 2/3 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/18 (/ 1 (pow x 2))) (+ 1/540 (/ 2/3 (pow x 4))))))>
#<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) (- (* 1/540 (pow x 2)) 1/18))))>
#<alt (* 1/540 (pow x 6))>
#<alt (* (pow x 6) (- 1/540 (* 1/18 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2)))))>
#<alt (* 1/540 (pow x 6))>
#<alt (* (pow x 6) (- 1/540 (* 1/18 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 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>
#<alt (+ 2/3 (* -1/18 (pow x 2)))>
#<alt (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))>
#<alt (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))>
#<alt (* 1/540 (pow x 4))>
#<alt (* (pow x 4) (- 1/540 (* 1/18 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2)))))>
#<alt (* 1/540 (pow x 4))>
#<alt (* (pow x 4) (- 1/540 (* 1/18 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (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 (* 1/90 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/90 (* 1/540 (pow x 2))))))))>
#<alt (* -1/90 (pow x 3))>
#<alt (* (pow x 3) (- (* 4/15 (/ 1 (pow x 2))) 1/90))>
#<alt (* (pow x 3) (- (* 4/15 (/ 1 (pow x 2))) (+ 1/90 (/ 12/5 (pow x 4)))))>
#<alt (* (pow x 3) (- (+ (* -1 (/ (+ 12/5 (* 72/5 (/ 1 (pow x 2)))) (pow x 4))) (* 4/15 (/ 1 (pow x 2)))) 1/90))>
#<alt (* -1/90 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/90 (* 4/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- (+ 1/90 (/ 12/5 (pow x 4))) (* 4/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- (+ 1/90 (+ (* 72/5 (/ 1 (pow x 6))) (/ 12/5 (pow x 4)))) (* 4/15 (/ 1 (pow x 2))))))>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (/ 3/2 x)>
#<alt (/ (+ 3/2 (* -1/8 (pow x 2))) x)>
#<alt (/ (+ 3/2 (* (pow x 2) (- (* -1/480 (pow x 2)) 1/8))) x)>
#<alt (/ (+ 3/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/20160 (pow x 2)) 1/480)) 1/8))) x)>
#<alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 1/540 x)>
#<alt (* 1/540 x)>
#<alt (* 1/540 x)>
#<alt (* 1/540 x)>
#<alt (* 1/540 x)>
#<alt (* 1/540 x)>
#<alt (* 1/540 x)>
#<alt (* 1/540 x)>
#<alt (* 1/540 x)>
#<alt (* 1/540 x)>
#<alt (* 1/540 x)>
#<alt (* 1/540 x)>
#<alt (* 1/540 (pow x 2))>
#<alt (* 1/540 (pow x 2))>
#<alt (* 1/540 (pow x 2))>
#<alt (* 1/540 (pow x 2))>
#<alt (* 1/540 (pow x 2))>
#<alt (* 1/540 (pow x 2))>
#<alt (* 1/540 (pow x 2))>
#<alt (* 1/540 (pow x 2))>
#<alt (* 1/540 (pow x 2))>
#<alt (* 1/540 (pow x 2))>
#<alt (* 1/540 (pow x 2))>
#<alt (* 1/540 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
Calls

51 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/ (tan (/ x 2)) 3/4)
1.0ms
x
@-inf
(/ (tan (/ x 2)) 3/4)
1.0ms
x
@inf
(/ 3/4 (tan (/ x 2)))
1.0ms
x
@-inf
(/ 3/4 (tan (/ x 2)))
0.0ms
x
@inf
(/ (* (* x x) (+ 2/3 (* (* x x) (+ -1/18 (* x (* x 1/540)))))) (* x (+ 1 (* (* x x) -1/6))))

rewrite463.0ms (4.8%)

Algorithm
1×batch-egg-rewrite
Rules
4392×*-lowering-*.f32
4392×*-lowering-*.f64
3932×/-lowering-/.f32
3932×/-lowering-/.f64
1630×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030123
1183112
21384106
08284106
Stop Event
1×iter limit
1×node limit
Counts
17 → 692
Calls
Call 1
Inputs
(/ (tan (/ x 2)) 3/4)
(tan (/ x 2))
(/ x 2)
(* x (+ 2/3 (* x (* x 1/18))))
(+ 2/3 (* x (* x 1/18)))
(* x (* x 1/18))
(* x 1/18)
(/ (* (* x x) (+ 2/3 (* (* x x) (+ -1/18 (* x (* x 1/540)))))) x)
(* (* x x) (+ 2/3 (* (* x x) (+ -1/18 (* x (* x 1/540))))))
(* x x)
(+ 2/3 (* (* x x) (+ -1/18 (* x (* x 1/540)))))
(/ (* (* x x) (+ 2/3 (* (* x x) (+ -1/18 (* x (* x 1/540)))))) (* x (+ 1 (* (* x x) -1/6))))
(/ 1 (/ 3/4 (tan (/ x 2))))
(/ 3/4 (tan (/ x 2)))
(* x 1/540)
(* x (* x 1/540))
(* (* x x) -1/6)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)))
(neg.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)))
(/.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 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3/4 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 #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 (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -3/4 binary64))
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal 3/4 binary64))
(/.f64 (neg.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (sin.f64 (/.f64 x #s(literal 2 binary64)))) (neg.f64 (*.f64 #s(literal 3/4 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal -4/3 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal -3/4 binary64))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64)) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))) #s(literal -3/4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))) #s(literal 3/4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (neg.f64 (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))) (neg.f64 (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(pow.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 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))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))) #s(literal -1 binary64))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(*.f64 (/.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 (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 #s(literal -1 binary64) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -4/3 binary64))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal 4/3 binary64))
(*.f64 #s(literal -4/3 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal -4/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 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 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal -4/3 binary64))
(*.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal -1 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 binary64)) (/.f64 #s(literal 1 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)))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(neg.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (sin.f64 (/.f64 x #s(literal 2 binary64)))) (neg.f64 (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))))) (neg.f64 (neg.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))))))
(pow.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (neg.f64 (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(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) (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.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 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) x))))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1/2 binary64))
(+.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))
(+.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x))) (*.f64 x #s(literal 2/3 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 x #s(literal 2/3 binary64))) (-.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))) (/.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x)))) (-.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))))
(fma.f64 x #s(literal 2/3 binary64) (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))
(fma.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) (*.f64 x #s(literal 2/3 binary64)))
(fma.f64 #s(literal 2/3 binary64) x (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))
(fma.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 x x) (*.f64 x #s(literal 2/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2/3 binary64)))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/18 binary64)) (*.f64 x #s(literal 2/3 binary64)))
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/18 binary64) (*.f64 x #s(literal 2/3 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 x #s(literal 2/3 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x)))) (*.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x)))))) (+.f64 (*.f64 #s(literal 8/27 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5832 binary64))) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 x #s(literal 2/3 binary64))) (*.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal -2/3 binary64)))) (*.f64 x (+.f64 #s(literal 8/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5832 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 x x))) (*.f64 x (-.f64 #s(literal 4/9 binary64) (*.f64 #s(literal 1/324 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal -2/3 binary64)))) (*.f64 (+.f64 #s(literal 8/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5832 binary64)))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 #s(literal 1/324 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x)))
(/.f64 (+.f64 (*.f64 #s(literal 8/27 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5832 binary64))) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 x #s(literal 2/3 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x)))) (*.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x)))))))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 x #s(literal 2/3 binary64))) (*.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))) (-.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x)))))
(/.f64 (*.f64 x (+.f64 #s(literal 8/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5832 binary64))))) (+.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal -2/3 binary64)))))
(/.f64 (*.f64 x (-.f64 #s(literal 4/9 binary64) (*.f64 #s(literal 1/324 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 #s(literal 8/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5832 binary64)))) x) (+.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal -2/3 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 #s(literal 1/324 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x) (-.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 8/27 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5832 binary64))) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 (*.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 x #s(literal 2/3 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x)))) (*.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 x #s(literal 2/3 binary64))) (*.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x)))))) (neg.f64 (-.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))))
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(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/540 binary64)))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64))))) (/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/540 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)))) (/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/540 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/540 binary64))))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64))))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))
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(*.f64 (/.f64 x (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))) (/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/540 binary64))))))) x))
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(*.f64 (/.f64 (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/540 binary64))))) (-.f64 #s(literal 0 binary64) x)) (/.f64 (neg.f64 (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/540 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))) (/.f64 (neg.f64 (*.f64 x x)) x))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)))
(neg.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
(/.f64 (/.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 1 binary64) (/.f64 (*.f64 #s(literal 3/4 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 #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 (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -3/4 binary64))
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal 3/4 binary64))
(/.f64 (neg.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))) #s(literal -1 binary64))
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(/.f64 #s(literal -4/3 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal -3/4 binary64))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64)) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))) #s(literal -3/4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))) #s(literal 3/4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (neg.f64 (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))) (neg.f64 (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(pow.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 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))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))) #s(literal -1 binary64))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(*.f64 (/.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 (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 #s(literal -1 binary64) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -4/3 binary64))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal 4/3 binary64))
(*.f64 #s(literal -4/3 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal -4/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 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 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal -4/3 binary64))
(*.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal -1 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 binary64)) (/.f64 #s(literal 1 binary64) (cos.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)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.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 (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))
(neg.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))))
(/.f64 #s(literal 3/4 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal 3/4 binary64) (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 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 1 binary64) (neg.f64 (neg.f64 (/.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 -1 binary64) (neg.f64 (/.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) (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal -3/4 binary64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal -3/4 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 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 (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal -4/3 binary64))
(pow.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) #s(literal -1 binary64))
(pow.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) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 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 (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 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 -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) (pow.f64 (/.f64 #s(literal -3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal -3/4 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal -3/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))
(*.f64 #s(literal -3/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 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 3/4 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal -3/4 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 (pow.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 3/4 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal -3/4 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 x #s(literal 1/540 binary64))
(*.f64 #s(literal 1/540 binary64) x)
(*.f64 x (*.f64 x #s(literal 1/540 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/540 binary64))
(*.f64 #s(literal 1/540 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/540 binary64)) x)
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x #s(literal -1/6 binary64)) x)

simplify298.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
3714×*-lowering-*.f32
3714×*-lowering-*.f64
3166×+-lowering-+.f64
3166×+-lowering-+.f32
1364×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01701599
14881389
214851385
345851377
082901377
Stop Event
1×iter limit
1×node limit
Counts
204 → 204
Calls
Call 1
Inputs
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* 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) (- (* 1/540 (pow x 2)) 1/18))))
(* x (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(* 1/540 (pow x 5))
(* (pow x 5) (- 1/540 (* 1/18 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2)))))
(* 1/540 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/18 (/ 1 (pow x 2))) 1/540)))
(* -1 (* (pow x 5) (- (* 1/18 (/ 1 (pow x 2))) (+ 1/540 (/ 2/3 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/18 (/ 1 (pow x 2))) (+ 1/540 (/ 2/3 (pow x 4))))))
(* 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) (- (* 1/540 (pow x 2)) 1/18))))
(* 1/540 (pow x 6))
(* (pow x 6) (- 1/540 (* 1/18 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2)))))
(* 1/540 (pow x 6))
(* (pow x 6) (- 1/540 (* 1/18 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 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
(+ 2/3 (* -1/18 (pow x 2)))
(+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))
(+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))
(* 1/540 (pow x 4))
(* (pow x 4) (- 1/540 (* 1/18 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2)))))
(* 1/540 (pow x 4))
(* (pow x 4) (- 1/540 (* 1/18 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2)))))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/90 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/90 (* 1/540 (pow x 2))))))))
(* -1/90 (pow x 3))
(* (pow x 3) (- (* 4/15 (/ 1 (pow x 2))) 1/90))
(* (pow x 3) (- (* 4/15 (/ 1 (pow x 2))) (+ 1/90 (/ 12/5 (pow x 4)))))
(* (pow x 3) (- (+ (* -1 (/ (+ 12/5 (* 72/5 (/ 1 (pow x 2)))) (pow x 4))) (* 4/15 (/ 1 (pow x 2)))) 1/90))
(* -1/90 (pow x 3))
(* -1 (* (pow x 3) (- 1/90 (* 4/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1/90 (/ 12/5 (pow x 4))) (* 4/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1/90 (+ (* 72/5 (/ 1 (pow x 6))) (/ 12/5 (pow x 4)))) (* 4/15 (/ 1 (pow x 2))))))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/ 3/2 x)
(/ (+ 3/2 (* -1/8 (pow x 2))) x)
(/ (+ 3/2 (* (pow x 2) (- (* -1/480 (pow x 2)) 1/8))) x)
(/ (+ 3/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/20160 (pow x 2)) 1/480)) 1/8))) x)
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 1/540 x)
(* 1/540 x)
(* 1/540 x)
(* 1/540 x)
(* 1/540 x)
(* 1/540 x)
(* 1/540 x)
(* 1/540 x)
(* 1/540 x)
(* 1/540 x)
(* 1/540 x)
(* 1/540 x)
(* 1/540 (pow x 2))
(* 1/540 (pow x 2))
(* 1/540 (pow x 2))
(* 1/540 (pow x 2))
(* 1/540 (pow x 2))
(* 1/540 (pow x 2))
(* 1/540 (pow x 2))
(* 1/540 (pow x 2))
(* 1/540 (pow x 2))
(* 1/540 (pow x 2))
(* 1/540 (pow x 2))
(* 1/540 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (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 x (*.f64 x (+.f64 #s(literal 1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 binary64))))))))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 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 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
(* 1/18 (pow x 3))
(*.f64 #s(literal 1/18 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
(* 1/18 (pow x 3))
(*.f64 #s(literal 1/18 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
2/3
#s(literal 2/3 binary64)
(+ 2/3 (* 1/18 (pow x 2)))
(+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64))))
(+ 2/3 (* 1/18 (pow x 2)))
(+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64))))
(+ 2/3 (* 1/18 (pow x 2)))
(+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64))))
(* 1/18 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/18 binary64)))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64))))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64))))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64))))
(* 1/18 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/18 binary64)))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64))))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64))))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64))))
(* 1/18 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/18 binary64)))
(* 1/18 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/18 binary64)))
(* 1/18 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/18 binary64)))
(* 1/18 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/18 binary64)))
(* 1/18 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/18 binary64)))
(* 1/18 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/18 binary64)))
(* 1/18 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/18 binary64)))
(* 1/18 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/18 binary64)))
(* 1/18 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/18 binary64)))
(* 1/18 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/18 binary64)))
(* 1/18 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/18 binary64)))
(* 1/18 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/18 binary64)))
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* -1/18 (pow x 2))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64))))
(* x (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/540 binary64))))))
(* x (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/540 binary64))))))
(* 1/540 (pow x 5))
(*.f64 #s(literal 1/540 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(* (pow x 5) (- 1/540 (* 1/18 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/540 binary64) (/.f64 #s(literal -1/18 binary64) (*.f64 x x))))
(* (pow x 5) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 (+.f64 #s(literal 1/540 binary64) (/.f64 #s(literal -1/18 binary64) (*.f64 x x))) (/.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 5) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 (+.f64 #s(literal 1/540 binary64) (/.f64 #s(literal -1/18 binary64) (*.f64 x x))) (/.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* 1/540 (pow x 5))
(*.f64 #s(literal 1/540 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(* -1 (* (pow x 5) (- (* 1/18 (/ 1 (pow x 2))) 1/540)))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/540 binary64) (/.f64 #s(literal -1/18 binary64) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/18 (/ 1 (pow x 2))) (+ 1/540 (/ 2/3 (pow x 4))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 (+.f64 #s(literal 1/540 binary64) (/.f64 #s(literal -1/18 binary64) (*.f64 x x))) (/.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* -1 (* (pow x 5) (- (* 1/18 (/ 1 (pow x 2))) (+ 1/540 (/ 2/3 (pow x 4))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 (+.f64 #s(literal 1/540 binary64) (/.f64 #s(literal -1/18 binary64) (*.f64 x x))) (/.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* 2/3 (pow x 2))
(*.f64 #s(literal 2/3 binary64) (*.f64 x x))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/540 binary64))))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/540 binary64))))))
(* 1/540 (pow x 6))
(*.f64 #s(literal 1/540 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- 1/540 (* 1/18 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/540 binary64) (/.f64 #s(literal -1/18 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (+.f64 #s(literal 1/540 binary64) (/.f64 #s(literal -1/18 binary64) (*.f64 x x))) (/.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (+.f64 #s(literal 1/540 binary64) (/.f64 #s(literal -1/18 binary64) (*.f64 x x))) (/.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(* 1/540 (pow x 6))
(*.f64 #s(literal 1/540 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- 1/540 (* 1/18 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/540 binary64) (/.f64 #s(literal -1/18 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (+.f64 #s(literal 1/540 binary64) (/.f64 #s(literal -1/18 binary64) (*.f64 x x))) (/.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (+.f64 #s(literal 1/540 binary64) (/.f64 #s(literal -1/18 binary64) (*.f64 x x))) (/.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
2/3
#s(literal 2/3 binary64)
(+ 2/3 (* -1/18 (pow x 2)))
(+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))
(+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))
(+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/540 binary64)))))
(+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))
(+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/540 binary64)))))
(* 1/540 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/540 binary64)))
(* (pow x 4) (- 1/540 (* 1/18 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/540 binary64) (/.f64 #s(literal -1/18 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (+.f64 #s(literal 1/540 binary64) (/.f64 #s(literal -1/18 binary64) (*.f64 x x))) (/.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (+.f64 #s(literal 1/540 binary64) (/.f64 #s(literal -1/18 binary64) (*.f64 x x))) (/.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/540 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/540 binary64)))
(* (pow x 4) (- 1/540 (* 1/18 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/540 binary64) (/.f64 #s(literal -1/18 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (+.f64 #s(literal 1/540 binary64) (/.f64 #s(literal -1/18 binary64) (*.f64 x x))) (/.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (+.f64 #s(literal 1/540 binary64) (/.f64 #s(literal -1/18 binary64) (*.f64 x x))) (/.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x 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 (* 1/90 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/18 binary64) (*.f64 x (*.f64 x #s(literal 1/90 binary64))))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/90 (* 1/540 (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 (*.f64 (*.f64 x x) #s(literal 1/540 binary64)) #s(literal 1/90 binary64)))))))
(* -1/90 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/90 binary64)))
(* (pow x 3) (- (* 4/15 (/ 1 (pow x 2))) 1/90))
(+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/90 binary64))) (*.f64 x #s(literal 4/15 binary64)))
(* (pow x 3) (- (* 4/15 (/ 1 (pow x 2))) (+ 1/90 (/ 12/5 (pow x 4)))))
(+.f64 (*.f64 x #s(literal 4/15 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/90 binary64) (/.f64 #s(literal -12/5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 3) (- (+ (* -1 (/ (+ 12/5 (* 72/5 (/ 1 (pow x 2)))) (pow x 4))) (* 4/15 (/ 1 (pow x 2)))) 1/90))
(+.f64 (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/90 binary64))) (*.f64 x #s(literal 4/15 binary64))) (*.f64 x (/.f64 (+.f64 #s(literal -12/5 binary64) (/.f64 #s(literal -72/5 binary64) (*.f64 x x))) (*.f64 x x))))
(* -1/90 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/90 binary64)))
(* -1 (* (pow x 3) (- 1/90 (* 4/15 (/ 1 (pow x 2))))))
(+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/90 binary64))) (*.f64 x #s(literal 4/15 binary64)))
(* -1 (* (pow x 3) (- (+ 1/90 (/ 12/5 (pow x 4))) (* 4/15 (/ 1 (pow x 2))))))
(+.f64 (*.f64 x #s(literal 4/15 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/90 binary64) (/.f64 #s(literal -12/5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* -1 (* (pow x 3) (- (+ 1/90 (+ (* 72/5 (/ 1 (pow x 6))) (/ 12/5 (pow x 4)))) (* 4/15 (/ 1 (pow x 2))))))
(-.f64 (*.f64 x #s(literal 4/15 binary64)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/90 binary64) (+.f64 (/.f64 #s(literal 12/5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 72/5 binary64) (pow.f64 x #s(literal 6 binary64))))))))
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 binary64))))))))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ 3/2 x)
(/.f64 #s(literal 3/2 binary64) x)
(/ (+ 3/2 (* -1/8 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 x (*.f64 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 (*.f64 x 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 x (*.f64 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 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #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 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #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 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #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 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #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 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #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 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #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 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #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 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 3/4 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* 1/540 x)
(*.f64 x #s(literal 1/540 binary64))
(* 1/540 x)
(*.f64 x #s(literal 1/540 binary64))
(* 1/540 x)
(*.f64 x #s(literal 1/540 binary64))
(* 1/540 x)
(*.f64 x #s(literal 1/540 binary64))
(* 1/540 x)
(*.f64 x #s(literal 1/540 binary64))
(* 1/540 x)
(*.f64 x #s(literal 1/540 binary64))
(* 1/540 x)
(*.f64 x #s(literal 1/540 binary64))
(* 1/540 x)
(*.f64 x #s(literal 1/540 binary64))
(* 1/540 x)
(*.f64 x #s(literal 1/540 binary64))
(* 1/540 x)
(*.f64 x #s(literal 1/540 binary64))
(* 1/540 x)
(*.f64 x #s(literal 1/540 binary64))
(* 1/540 x)
(*.f64 x #s(literal 1/540 binary64))
(* 1/540 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/540 binary64))
(* 1/540 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/540 binary64))
(* 1/540 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/540 binary64))
(* 1/540 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/540 binary64))
(* 1/540 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/540 binary64))
(* 1/540 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/540 binary64))
(* 1/540 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/540 binary64))
(* 1/540 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/540 binary64))
(* 1/540 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/540 binary64))
(* 1/540 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/540 binary64))
(* 1/540 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/540 binary64))
(* 1/540 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/540 binary64))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))

eval163.0ms (1.7%)

Compiler

Compiled 39089 to 2117 computations (94.6% saved)

prune179.0ms (1.8%)

Pruning

30 alts after pruning (26 fresh and 4 done)

PrunedKeptTotal
New1162171179
Fresh6915
Picked235
Done112
Total1171301201
Accuracy
100.0%
Counts
1201 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.4%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 3/4 binary64))
51.4%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3/4 binary64)) (sin.f64 x))
51.4%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
29.9%
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x #s(literal 1/540 binary64))))))) (*.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)))))))))
29.9%
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x #s(literal 1/540 binary64))))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
▶29.9%
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
29.8%
(/.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
30.1%
(/.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x)
99.4%
(/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64)) (cos.f64 (/.f64 x #s(literal 2 binary64))))
52.6%
(/.f64 (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/540 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
53.2%
(/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) #s(literal 3/4 binary64))
53.2%
(/.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))
✓99.8%
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
▶99.7%
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 3/4 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
99.3%
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
53.7%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/480 binary64))))) x))
53.9%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/480 binary64) (*.f64 x (*.f64 x #s(literal -1/20160 binary64))))))))) x))
53.7%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))) x))
▶53.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x))
✓99.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
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)))
1.9%
(+.f64 (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/90 binary64))) (*.f64 x #s(literal 4/15 binary64))) (*.f64 x (/.f64 (+.f64 #s(literal -12/5 binary64) (/.f64 #s(literal -72/5 binary64) (*.f64 x x))) (*.f64 x x))))
2.1%
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/540 binary64) (/.f64 #s(literal -1/18 binary64) (*.f64 x x))))
▶99.5%
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
53.0%
(*.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 1/1680 binary64))))))))
53.1%
(*.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))))))))
▶53.0%
(*.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))))))
✓53.0%
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
4.0%
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/90 binary64)))
✓52.9%
(*.f64 #s(literal 2/3 binary64) x)
Compiler

Compiled 860 to 568 computations (34% saved)

simplify282.0ms (2.9%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 x #s(literal 2 binary64))
✓cost-diff0
(tan.f64 (/.f64 x #s(literal 2 binary64)))
✓cost-diff0
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
✓cost-diff0
(+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64))))
✓cost-diff256
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 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 #s(literal 3/2 binary64) x)
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x))
✓cost-diff0
(*.f64 #s(literal 3/4 binary64) (cos.f64 (/.f64 x #s(literal 2 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))) (*.f64 #s(literal 3/4 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
Rules
4400×*-lowering-*.f32
4400×*-lowering-*.f64
3614×fma-define
3456×fma-lowering-fma.f32
3456×fma-lowering-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033167
194155
2256151
3687151
41346151
53101151
65248151
75510151
85751151
96067151
106499151
117031151
08345151
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (sin (/ x 2)) (* 3/4 (cos (/ x 2))))
(sin (/ x 2))
(/ x 2)
x
2
(* 3/4 (cos (/ x 2)))
3/4
(cos (/ x 2))
(/ 1 (/ 3/2 x))
1
(/ 3/2 x)
3/2
x
(* x (+ 2/3 (* (* x x) (+ 1/18 (* (* x x) 1/180)))))
x
(+ 2/3 (* (* x x) (+ 1/18 (* (* x x) 1/180))))
2/3
(* (* x x) (+ 1/18 (* (* x x) 1/180)))
(* x x)
(+ 1/18 (* (* x x) 1/180))
1/18
(* (* x x) 1/180)
1/180
(/ (* (* x x) (+ 2/3 (* (* x x) -1/18))) (* x (+ 1 (* (* x x) -1/6))))
(* (* x x) (+ 2/3 (* (* x x) -1/18)))
(* x x)
x
(+ 2/3 (* (* x x) -1/18))
2/3
(* (* x x) -1/18)
-1/18
(* x (+ 1 (* (* x x) -1/6)))
(+ 1 (* (* x x) -1/6))
1
(* (* x x) -1/6)
-1/6
(* (tan (/ x 2)) 4/3)
(tan (/ x 2))
(/ x 2)
x
2
4/3
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))
(sin.f64 (/.f64 x #s(literal 2 binary64)))
(/ x 2)
(/.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
(* 3/4 (cos (/ x 2)))
(*.f64 #s(literal 3/4 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))
3/4
#s(literal 3/4 binary64)
(cos (/ x 2))
(cos.f64 (/.f64 x #s(literal 2 binary64)))
(/ 1 (/ 3/2 x))
(/.f64 x #s(literal 3/2 binary64))
1
#s(literal 1 binary64)
(/ 3/2 x)
(/.f64 #s(literal 3/2 binary64) x)
3/2
#s(literal 3/2 binary64)
x
(* x (+ 2/3 (* (* x x) (+ 1/18 (* (* x x) 1/180)))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
x
(+ 2/3 (* (* x x) (+ 1/18 (* (* x x) 1/180))))
(+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))
2/3
#s(literal 2/3 binary64)
(* (* x x) (+ 1/18 (* (* x x) 1/180)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))
(* x x)
(*.f64 x x)
(+ 1/18 (* (* x x) 1/180))
(+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))
1/18
#s(literal 1/18 binary64)
(* (* x x) 1/180)
(*.f64 (*.f64 x x) #s(literal 1/180 binary64))
1/180
#s(literal 1/180 binary64)
(/ (* (* x x) (+ 2/3 (* (* x x) -1/18))) (* x (+ 1 (* (* x x) -1/6))))
(/.f64 (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal -1/18 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(* (* x x) (+ 2/3 (* (* x x) -1/18)))
(*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal -1/18 binary64))))))
(* x x)
(*.f64 x x)
x
(+ 2/3 (* (* x x) -1/18))
(+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal -1/18 binary64))))
2/3
#s(literal 2/3 binary64)
(* (* x x) -1/18)
(*.f64 x (*.f64 x #s(literal -1/18 binary64)))
-1/18
#s(literal -1/18 binary64)
(* x (+ 1 (* (* x x) -1/6)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(+ 1 (* (* x x) -1/6))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))
1
#s(literal 1 binary64)
(* (* x x) -1/6)
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
(* (tan (/ x 2)) 4/3)
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 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)

localize165.0ms (1.7%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓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))
✓accuracy99.7%
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64))))
✓accuracy99.7%
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
✓accuracy99.7%
(*.f64 (*.f64 x x) #s(literal -1/18 binary64))
✓accuracy45.7%
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
✓accuracy100.0%
(+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))
✓accuracy99.8%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))
✓accuracy99.8%
(*.f64 (*.f64 x x) #s(literal 1/180 binary64))
✓accuracy99.7%
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
✓accuracy100.0%
(/.f64 #s(literal 3/2 binary64) x)
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x))
✓accuracy100.0%
(cos.f64 (/.f64 x #s(literal 2 binary64)))
✓accuracy100.0%
(sin.f64 (/.f64 x #s(literal 2 binary64)))
✓accuracy99.8%
(*.f64 #s(literal 3/4 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))
✓accuracy99.7%
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 3/4 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
Results
122.0ms256×0valid
Compiler

Compiled 191 to 34 computations (82.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 82.0ms
...c/correct-round.rkt:119:19: 25.0ms (30.6% of total)
ival-mult: 23.0ms (28.1% of total)
ival-div: 9.0ms (11% of total)
ival-cos: 8.0ms (9.8% of total)
ival-sin: 6.0ms (7.3% of total)
ival-add: 5.0ms (6.1% of total)
ival-tan: 5.0ms (6.1% of total)
const: 1.0ms (1.2% of total)
backward-pass: 0.0ms (0% of total)

series26.0ms (0.3%)

Counts
20 → 240
Calls
Call 1
Inputs
#<alt (/ (sin (/ x 2)) (* 3/4 (cos (/ x 2))))>
#<alt (sin (/ x 2))>
#<alt (/ x 2)>
#<alt (* 3/4 (cos (/ x 2)))>
#<alt (/ 1 (/ 3/2 x))>
#<alt (/ 3/2 x)>
#<alt (* x (+ 2/3 (* (* x x) (+ 1/18 (* (* x x) 1/180)))))>
#<alt (+ 2/3 (* (* x x) (+ 1/18 (* (* x x) 1/180))))>
#<alt (* (* x x) (+ 1/18 (* (* x x) 1/180)))>
#<alt (* x x)>
#<alt (/ (* (* x x) (+ 2/3 (* (* x x) -1/18))) (* x (+ 1 (* (* x x) -1/6))))>
#<alt (* (* x x) (+ 2/3 (* (* x x) -1/18)))>
#<alt (+ 2/3 (* (* x x) -1/18))>
#<alt (* (tan (/ x 2)) 4/3)>
#<alt (tan (/ x 2))>
#<alt (cos (/ x 2))>
#<alt (* (* x x) 1/180)>
#<alt (+ 1/18 (* (* x x) 1/180))>
#<alt (* (* x x) -1/18)>
#<alt (* (* x x) -1/6)>
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 (* -1/48 (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 3/4>
#<alt (+ 3/4 (* -3/32 (pow x 2)))>
#<alt (+ 3/4 (* (pow x 2) (- (* 1/512 (pow x 2)) 3/32)))>
#<alt (+ 3/4 (* (pow x 2) (- (* (pow x 2) (+ 1/512 (* -1/61440 (pow x 2)))) 3/32)))>
#<alt (* 3/4 (cos (* 1/2 x)))>
#<alt (* 3/4 (cos (* 1/2 x)))>
#<alt (* 3/4 (cos (* 1/2 x)))>
#<alt (* 3/4 (cos (* 1/2 x)))>
#<alt (* 3/4 (cos (* 1/2 x)))>
#<alt (* 3/4 (cos (* 1/2 x)))>
#<alt (* 3/4 (cos (* 1/2 x)))>
#<alt (* 3/4 (cos (* 1/2 x)))>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (/ 3/2 x)>
#<alt (/ 3/2 x)>
#<alt (/ 3/2 x)>
#<alt (/ 3/2 x)>
#<alt (/ 3/2 x)>
#<alt (/ 3/2 x)>
#<alt (/ 3/2 x)>
#<alt (/ 3/2 x)>
#<alt (/ 3/2 x)>
#<alt (/ 3/2 x)>
#<alt (/ 3/2 x)>
#<alt (/ 3/2 x)>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 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 (* 1/108 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/108 (* 1/648 (pow x 2))))))))>
#<alt (* 1/3 x)>
#<alt (* x (- 1/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 1/3 (* -1 (/ (+ 2 (* 12 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 1/3 (* -1 (/ (+ 12 (* 72 (/ 1 (pow x 2)))) (pow x 4)))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* 1/3 x)>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1/3)))>
#<alt (* -1 (* x (- (+ (* 2 (/ 1 (pow x 2))) (/ 12 (pow x 4))) 1/3)))>
#<alt (* -1 (* x (- (+ (* 2 (/ 1 (pow x 2))) (+ (* 72 (/ 1 (pow x 6))) (/ 12 (pow x 4)))) 1/3)))>
#<alt (* 2/3 (pow x 2))>
#<alt (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))>
#<alt (* -1/18 (pow x 4))>
#<alt (* (pow x 4) (- (* 2/3 (/ 1 (pow x 2))) 1/18))>
#<alt (* (pow x 4) (- (* 2/3 (/ 1 (pow x 2))) 1/18))>
#<alt (* (pow x 4) (- (* 2/3 (/ 1 (pow x 2))) 1/18))>
#<alt (* -1/18 (pow x 4))>
#<alt (* (pow x 4) (- (* 2/3 (/ 1 (pow x 2))) 1/18))>
#<alt (* (pow x 4) (- (* 2/3 (/ 1 (pow x 2))) 1/18))>
#<alt (* (pow x 4) (- (* 2/3 (/ 1 (pow x 2))) 1/18))>
#<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) (- (* 2/3 (/ 1 (pow x 2))) 1/18))>
#<alt (* (pow x 2) (- (* 2/3 (/ 1 (pow x 2))) 1/18))>
#<alt (* (pow x 2) (- (* 2/3 (/ 1 (pow x 2))) 1/18))>
#<alt (* -1/18 (pow x 2))>
#<alt (* (pow x 2) (- (* 2/3 (/ 1 (pow x 2))) 1/18))>
#<alt (* (pow x 2) (- (* 2/3 (/ 1 (pow x 2))) 1/18))>
#<alt (* (pow x 2) (- (* 2/3 (/ 1 (pow x 2))) 1/18))>
#<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>
#<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)))))>
#<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 (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
Calls

60 calls:

TimeVariablePointExpression
18.0ms
x
@0
(* (* x x) (+ 2/3 (* (* x x) -1/18)))
0.0ms
x
@inf
(* x (+ 2/3 (* (* x x) (+ 1/18 (* (* x x) 1/180)))))
0.0ms
x
@inf
(* (* x x) (+ 2/3 (* (* x x) -1/18)))
0.0ms
x
@inf
(/ (* (* x x) (+ 2/3 (* (* x x) -1/18))) (* x (+ 1 (* (* x x) -1/6))))
0.0ms
x
@inf
(* (* x x) (+ 1/18 (* (* x x) 1/180)))

rewrite362.0ms (3.7%)

Algorithm
1×batch-egg-rewrite
Rules
4276×*-lowering-*.f32
4276×*-lowering-*.f64
3848×/-lowering-/.f32
3848×/-lowering-/.f64
1618×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033135
1186115
21385112
08223112
Stop Event
1×iter limit
1×node limit
Counts
20 → 655
Calls
Call 1
Inputs
(/ (sin (/ x 2)) (* 3/4 (cos (/ x 2))))
(sin (/ x 2))
(/ x 2)
(* 3/4 (cos (/ x 2)))
(/ 1 (/ 3/2 x))
(/ 3/2 x)
(* x (+ 2/3 (* (* x x) (+ 1/18 (* (* x x) 1/180)))))
(+ 2/3 (* (* x x) (+ 1/18 (* (* x x) 1/180))))
(* (* x x) (+ 1/18 (* (* x x) 1/180)))
(* x x)
(/ (* (* x x) (+ 2/3 (* (* x x) -1/18))) (* x (+ 1 (* (* x x) -1/6))))
(* (* x x) (+ 2/3 (* (* x x) -1/18)))
(+ 2/3 (* (* x x) -1/18))
(* (tan (/ x 2)) 4/3)
(tan (/ x 2))
(cos (/ x 2))
(* (* x x) 1/180)
(+ 1/18 (* (* x x) 1/180))
(* (* x x) -1/18)
(* (* x x) -1/6)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 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 #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))))
(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 #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 3/4 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 3/4 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 3/4 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3/4 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 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 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (tan.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)))) (*.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 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.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 (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 #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 0 binary64) (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 (neg.f64 (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -3/4 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 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)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (/.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))) (/.f64 #s(literal 4/3 binary64) (cos.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 (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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (tan.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)))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64))))
(*.f64 (/.f64 #s(literal 4/3 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 4/3 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 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) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 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 #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 #s(literal -4/3 binary64) (/.f64 (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) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)))
(sin.f64 (/.f64 x #s(literal 2 binary64)))
(neg.f64 (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) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.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 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) x))))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 3/4 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3/2 binary64) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/2 binary64) x)))
(-.f64 #s(literal 0 binary64) (/.f64 x #s(literal -3/2 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/2 binary64) x)))
(/.f64 x #s(literal 3/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))
(/.f64 (/.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/2 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -3/2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 3/2 binary64))
(/.f64 #s(literal -2/3 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x #s(literal 3/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 3/2 binary64) x) #s(literal -1 binary64))
(pow.f64 (/.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) x) (/.f64 #s(literal 3/2 binary64) x)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(literal 3/2 binary64) x))) #s(literal -1 binary64))
(*.f64 x #s(literal 2/3 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 3/2 binary64)))
(*.f64 (/.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 2/3 binary64) x)
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/2 binary64) x)))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2/3 binary64))
(*.f64 (pow.f64 (/.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal -2/3 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal -2/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(literal 3/2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 #s(literal 3/2 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal 3/2 binary64) x)) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -3/2 binary64) x))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 3/2 binary64) x) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -3/2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 3/2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 x #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -3/2 binary64)))
(/.f64 #s(literal 3/2 binary64) x)
(/.f64 #s(literal 3/2 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 3/2 binary64) (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (/.f64 #s(literal 3/2 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x #s(literal 3/2 binary64))))
(/.f64 #s(literal -3/2 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal -3/2 binary64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal -3/2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (/.f64 #s(literal -3/2 binary64) x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 3/2 binary64) x) #s(literal 1 binary64))
(pow.f64 (/.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 3/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/2 binary64) x))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/2 binary64) x)) #s(literal -1 binary64)))
(*.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(*.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))))
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(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/324 binary64) (+.f64 #s(literal 1/18 binary64) (*.f64 #s(literal -1/180 binary64) (*.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/32400 binary64)) (+.f64 #s(literal 1/18 binary64) (*.f64 #s(literal -1/180 binary64) (*.f64 x x)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1/324 binary64) (+.f64 #s(literal 1/18 binary64) (*.f64 #s(literal -1/180 binary64) (*.f64 x x)))) (/.f64 #s(literal 1/324 binary64) (+.f64 #s(literal 1/18 binary64) (*.f64 #s(literal -1/180 binary64) (*.f64 x x))))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/32400 binary64)) (+.f64 #s(literal 1/18 binary64) (*.f64 #s(literal -1/180 binary64) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/32400 binary64)) (+.f64 #s(literal 1/18 binary64) (*.f64 #s(literal -1/180 binary64) (*.f64 x x))))) (*.f64 (/.f64 #s(literal 1/324 binary64) (+.f64 #s(literal 1/18 binary64) (*.f64 #s(literal -1/180 binary64) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/32400 binary64)) (+.f64 #s(literal 1/18 binary64) (*.f64 #s(literal -1/180 binary64) (*.f64 x x))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 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 #s(literal 1/324 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/180 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/180 binary64)) #s(literal -1/18 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 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/32400 binary64)) (-.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 #s(literal -1/180 binary64) (*.f64 x x)))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.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 0 binary64) (+.f64 #s(literal 1/324 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/180 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/180 binary64)) #s(literal -1/18 binary64)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.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 0 binary64) (+.f64 #s(literal 1/18 binary64) (*.f64 #s(literal -1/180 binary64) (*.f64 x x))))))
(*.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/32400 binary64)) #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))))
(*.f64 x (*.f64 x #s(literal -1/18 binary64)))
(*.f64 (*.f64 x x) #s(literal -1/18 binary64))
(*.f64 #s(literal -1/18 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal -1/18 binary64)) x)
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x #s(literal -1/6 binary64)) x)

simplify249.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
3632×+-lowering-+.f64
3632×+-lowering-+.f32
3440×*-lowering-*.f32
3440×*-lowering-*.f64
1588×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01911738
15621474
216781470
347121435
080731435
Stop Event
1×iter limit
1×node limit
Counts
240 → 240
Calls
Call 1
Inputs
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 1/2 x)
(* x (+ 1/2 (* -1/48 (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)
3/4
(+ 3/4 (* -3/32 (pow x 2)))
(+ 3/4 (* (pow x 2) (- (* 1/512 (pow x 2)) 3/32)))
(+ 3/4 (* (pow x 2) (- (* (pow x 2) (+ 1/512 (* -1/61440 (pow x 2)))) 3/32)))
(* 3/4 (cos (* 1/2 x)))
(* 3/4 (cos (* 1/2 x)))
(* 3/4 (cos (* 1/2 x)))
(* 3/4 (cos (* 1/2 x)))
(* 3/4 (cos (* 1/2 x)))
(* 3/4 (cos (* 1/2 x)))
(* 3/4 (cos (* 1/2 x)))
(* 3/4 (cos (* 1/2 x)))
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(/ 3/2 x)
(/ 3/2 x)
(/ 3/2 x)
(/ 3/2 x)
(/ 3/2 x)
(/ 3/2 x)
(/ 3/2 x)
(/ 3/2 x)
(/ 3/2 x)
(/ 3/2 x)
(/ 3/2 x)
(/ 3/2 x)
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 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 (* 1/108 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/108 (* 1/648 (pow x 2))))))))
(* 1/3 x)
(* x (- 1/3 (* 2 (/ 1 (pow x 2)))))
(* x (+ 1/3 (* -1 (/ (+ 2 (* 12 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 1/3 (* -1 (/ (+ 12 (* 72 (/ 1 (pow x 2)))) (pow x 4)))) (* 2 (/ 1 (pow x 2)))))
(* 1/3 x)
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1/3)))
(* -1 (* x (- (+ (* 2 (/ 1 (pow x 2))) (/ 12 (pow x 4))) 1/3)))
(* -1 (* x (- (+ (* 2 (/ 1 (pow x 2))) (+ (* 72 (/ 1 (pow x 6))) (/ 12 (pow x 4)))) 1/3)))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(* -1/18 (pow x 4))
(* (pow x 4) (- (* 2/3 (/ 1 (pow x 2))) 1/18))
(* (pow x 4) (- (* 2/3 (/ 1 (pow x 2))) 1/18))
(* (pow x 4) (- (* 2/3 (/ 1 (pow x 2))) 1/18))
(* -1/18 (pow x 4))
(* (pow x 4) (- (* 2/3 (/ 1 (pow x 2))) 1/18))
(* (pow x 4) (- (* 2/3 (/ 1 (pow x 2))) 1/18))
(* (pow x 4) (- (* 2/3 (/ 1 (pow x 2))) 1/18))
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) (- (* 2/3 (/ 1 (pow x 2))) 1/18))
(* (pow x 2) (- (* 2/3 (/ 1 (pow x 2))) 1/18))
(* (pow x 2) (- (* 2/3 (/ 1 (pow x 2))) 1/18))
(* -1/18 (pow x 2))
(* (pow x 2) (- (* 2/3 (/ 1 (pow x 2))) 1/18))
(* (pow x 2) (- (* 2/3 (/ 1 (pow x 2))) 1/18))
(* (pow x 2) (- (* 2/3 (/ 1 (pow x 2))) 1/18))
(* 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
(+ 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)))))
(* -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))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (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 x (*.f64 x (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/180 binary64) (*.f64 x (*.f64 x #s(literal 17/30240 binary64)))))))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* -1/48 (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 x (*.f64 x (+.f64 #s(literal 1/3840 binary64) (*.f64 (*.f64 x x) #s(literal -1/645120 binary64)))))))))
(sin (* 1/2 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin (* 1/2 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin (* 1/2 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin (* 1/2 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin (* 1/2 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin (* 1/2 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin (* 1/2 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin (* 1/2 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
3/4
#s(literal 3/4 binary64)
(+ 3/4 (* -3/32 (pow x 2)))
(+.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x #s(literal -3/32 binary64))))
(+ 3/4 (* (pow x 2) (- (* 1/512 (pow x 2)) 3/32)))
(+.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -3/32 binary64) (*.f64 (*.f64 x x) #s(literal 1/512 binary64))))))
(+ 3/4 (* (pow x 2) (- (* (pow x 2) (+ 1/512 (* -1/61440 (pow x 2)))) 3/32)))
(+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -3/32 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 x x) #s(literal -1/61440 binary64)))))))
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(/.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 (*.f64 x 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 x (*.f64 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)))
(* -1/18 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/18 binary64))
(* -1/18 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/18 binary64))
(* -1/18 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/18 binary64))
(* -1/18 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/18 binary64))
(* -1/18 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/18 binary64))
(* -1/18 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/18 binary64))
(* -1/18 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/18 binary64))
(* -1/18 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/18 binary64))
(* -1/18 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/18 binary64))
(* -1/18 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/18 binary64))
(* -1/18 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/18 binary64))
(* -1/18 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/18 binary64))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))

eval153.0ms (1.6%)

Compiler

Compiled 26152 to 2245 computations (91.4% saved)

prune138.0ms (1.4%)

Pruning

44 alts after pruning (38 fresh and 6 done)

PrunedKeptTotal
New1013201033
Fresh31821
Picked235
Done134
Total1019441063
Accuracy
100.0%
Counts
1063 → 44
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.4%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 3/4 binary64))
51.4%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3/4 binary64)) (sin.f64 x))
30.2%
(/.f64 (/.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64))))) x)
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))))
52.9%
(/.f64 (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
51.4%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
29.9%
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))) x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
29.9%
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x #s(literal 1/540 binary64))))))) (*.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)))))))))
29.9%
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x #s(literal 1/540 binary64))))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
29.9%
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -1/6 binary64)) x))))
29.8%
(/.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
52.6%
(/.f64 (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/540 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
52.8%
(/.f64 (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
53.2%
(/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) #s(literal 3/4 binary64))
3.6%
(/.f64 (*.f64 x (*.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
30.2%
(/.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
✓99.8%
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
✓99.7%
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 3/4 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
53.2%
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))))
53.2%
(/.f64 x #s(literal 3/2 binary64))
99.3%
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
53.7%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/480 binary64))))) x))
53.9%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/480 binary64) (*.f64 x (*.f64 x #s(literal -1/20160 binary64))))))))) x))
53.7%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))) x))
52.8%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64))))))
30.2%
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))))))
✓99.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
52.8%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 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)))
1.9%
(+.f64 (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/90 binary64))) (*.f64 x #s(literal 4/15 binary64))) (*.f64 x (/.f64 (+.f64 #s(literal -12/5 binary64) (/.f64 #s(literal -72/5 binary64) (*.f64 x x))) (*.f64 x x))))
2.3%
(+.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -12 binary64) (*.f64 x x))) x))
2.4%
(+.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal -2 binary64) x))
29.8%
(*.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
52.7%
(*.f64 (/.f64 (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
52.6%
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)))) (/.f64 (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
29.9%
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64))))))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
2.1%
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/540 binary64) (/.f64 #s(literal -1/18 binary64) (*.f64 x x))))
✓99.5%
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
53.0%
(*.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 1/1680 binary64))))))))
53.1%
(*.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))))))))
✓53.0%
(*.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))))))
✓53.0%
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
4.0%
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/90 binary64)))
11.5%
(*.f64 x #s(literal 1/3 binary64))
Compiler

Compiled 2080 to 857 computations (58.8% saved)

regimes66.0ms (0.7%)

Counts
84 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))
(/.f64 x #s(literal 3/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/90 binary64)))
(+.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal -2 binary64) x))
(/.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x)
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
(*.f64 #s(literal 8/3 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x #s(literal 1/48 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))) x))
(/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) #s(literal 3/4 binary64))
(+.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -12 binary64) (*.f64 x x))) x))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
(/.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(*.f64 #s(literal 8/3 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/48 binary64) (*.f64 x (*.f64 x #s(literal 1/480 binary64))))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/540 binary64) (/.f64 #s(literal -1/18 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/480 binary64))))) x))
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))))
(/.f64 (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64))))))
(/.f64 (*.f64 x (*.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x #s(literal 1/540 binary64))))))) x)
(/.f64 (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 binary64))))))))
(*.f64 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 1/1680 binary64))))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -1/6 binary64)) x))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))) x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(/.f64 (/.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64))))) x)
(*.f64 #s(literal 8/3 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 17/80640 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/480 binary64) (*.f64 x (*.f64 x #s(literal -1/20160 binary64))))))))) x))
(/.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
(/.f64 (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/540 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(+.f64 (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/90 binary64))) (*.f64 x #s(literal 4/15 binary64))) (*.f64 x (/.f64 (+.f64 #s(literal -12/5 binary64) (/.f64 #s(literal -72/5 binary64) (*.f64 x x))) (*.f64 x x))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64))))))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x #s(literal 1/540 binary64))))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(*.f64 (/.f64 (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)))) (/.f64 (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x #s(literal 1/540 binary64))))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x #s(literal 1/540 binary64))))))) (*.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)))))))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (sin.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 3/4 binary64)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x #s(literal 1/540 binary64))))))) (sin.f64 x))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/540 binary64) (*.f64 x (*.f64 x #s(literal -1/30240 binary64))))))))))) (sin.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3/4 binary64)) (sin.f64 x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 3/4 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 3/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3/8 binary64)) (/.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -3/4 binary64)))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 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)) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x))
(/.f64 (/.f64 (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 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) #s(literal 3/4 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 (*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))))))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) #s(literal 3/8 binary64)))
(*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))))
(/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -8/3 binary64) (sin.f64 x))))))
Outputs
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
Calls

2 calls:

35.0ms
x
24.0ms
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes30.0ms (0.3%)

Counts
48 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))
(/.f64 x #s(literal 3/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/90 binary64)))
(+.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal -2 binary64) x))
(/.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x)
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
(*.f64 #s(literal 8/3 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x #s(literal 1/48 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))) x))
(/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) #s(literal 3/4 binary64))
(+.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -12 binary64) (*.f64 x x))) x))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
(/.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(*.f64 #s(literal 8/3 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/48 binary64) (*.f64 x (*.f64 x #s(literal 1/480 binary64))))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/540 binary64) (/.f64 #s(literal -1/18 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/480 binary64))))) x))
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))))
(/.f64 (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64))))))
(/.f64 (*.f64 x (*.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x #s(literal 1/540 binary64))))))) x)
(/.f64 (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 binary64))))))))
(*.f64 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 1/1680 binary64))))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -1/6 binary64)) x))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))) x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(/.f64 (/.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64))))) x)
(*.f64 #s(literal 8/3 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 17/80640 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/480 binary64) (*.f64 x (*.f64 x #s(literal -1/20160 binary64))))))))) x))
(/.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
(/.f64 (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/540 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(+.f64 (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/90 binary64))) (*.f64 x #s(literal 4/15 binary64))) (*.f64 x (/.f64 (+.f64 #s(literal -12/5 binary64) (/.f64 #s(literal -72/5 binary64) (*.f64 x x))) (*.f64 x x))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64))))))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x #s(literal 1/540 binary64))))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(*.f64 (/.f64 (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)))) (/.f64 (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x #s(literal 1/540 binary64))))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x #s(literal 1/540 binary64))))))) (*.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)))))))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
Outputs
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
Calls

1 calls:

26.0ms
x
Results
AccuracySegmentsBranch
99.5%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes20.0ms (0.2%)

Counts
47 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))
(/.f64 x #s(literal 3/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/90 binary64)))
(+.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal -2 binary64) x))
(/.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x)
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
(*.f64 #s(literal 8/3 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x #s(literal 1/48 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))) x))
(/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) #s(literal 3/4 binary64))
(+.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -12 binary64) (*.f64 x x))) x))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
(/.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(*.f64 #s(literal 8/3 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/48 binary64) (*.f64 x (*.f64 x #s(literal 1/480 binary64))))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/540 binary64) (/.f64 #s(literal -1/18 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/480 binary64))))) x))
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))))
(/.f64 (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64))))))
(/.f64 (*.f64 x (*.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x #s(literal 1/540 binary64))))))) x)
(/.f64 (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 binary64))))))))
(*.f64 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 1/1680 binary64))))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -1/6 binary64)) x))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))) x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(/.f64 (/.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64))))) x)
(*.f64 #s(literal 8/3 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 17/80640 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/480 binary64) (*.f64 x (*.f64 x #s(literal -1/20160 binary64))))))))) x))
(/.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
(/.f64 (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/540 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(+.f64 (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/90 binary64))) (*.f64 x #s(literal 4/15 binary64))) (*.f64 x (/.f64 (+.f64 #s(literal -12/5 binary64) (/.f64 #s(literal -72/5 binary64) (*.f64 x x))) (*.f64 x x))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64))))))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x #s(literal 1/540 binary64))))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(*.f64 (/.f64 (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)))) (/.f64 (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x #s(literal 1/540 binary64))))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x #s(literal 1/540 binary64))))))) (*.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)))))))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
Outputs
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
Calls

1 calls:

15.0ms
x
Results
AccuracySegmentsBranch
56.4%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes18.0ms (0.2%)

Counts
46 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))
(/.f64 x #s(literal 3/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/90 binary64)))
(+.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal -2 binary64) x))
(/.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x)
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
(*.f64 #s(literal 8/3 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x #s(literal 1/48 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))) x))
(/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) #s(literal 3/4 binary64))
(+.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -12 binary64) (*.f64 x x))) x))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
(/.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(*.f64 #s(literal 8/3 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/48 binary64) (*.f64 x (*.f64 x #s(literal 1/480 binary64))))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/540 binary64) (/.f64 #s(literal -1/18 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/480 binary64))))) x))
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))))
(/.f64 (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64))))))
(/.f64 (*.f64 x (*.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x #s(literal 1/540 binary64))))))) x)
(/.f64 (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 binary64))))))))
(*.f64 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 1/1680 binary64))))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -1/6 binary64)) x))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))) x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(/.f64 (/.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64))))) x)
(*.f64 #s(literal 8/3 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 17/80640 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/480 binary64) (*.f64 x (*.f64 x #s(literal -1/20160 binary64))))))))) x))
(/.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
(/.f64 (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/540 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(+.f64 (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/90 binary64))) (*.f64 x #s(literal 4/15 binary64))) (*.f64 x (/.f64 (+.f64 #s(literal -12/5 binary64) (/.f64 #s(literal -72/5 binary64) (*.f64 x x))) (*.f64 x x))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64))))))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x #s(literal 1/540 binary64))))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(*.f64 (/.f64 (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)))) (/.f64 (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x #s(literal 1/540 binary64))))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x #s(literal 1/540 binary64))))))) (*.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)))))))))
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/480 binary64) (*.f64 x (*.f64 x #s(literal -1/20160 binary64))))))))) x))
Calls

1 calls:

14.0ms
x
Results
AccuracySegmentsBranch
53.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes11.0ms (0.1%)

Counts
35 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))
(/.f64 x #s(literal 3/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/90 binary64)))
(+.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal -2 binary64) x))
(/.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x)
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
(*.f64 #s(literal 8/3 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x #s(literal 1/48 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))) x))
(/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) #s(literal 3/4 binary64))
(+.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -12 binary64) (*.f64 x x))) x))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
(/.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(*.f64 #s(literal 8/3 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/48 binary64) (*.f64 x (*.f64 x #s(literal 1/480 binary64))))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/540 binary64) (/.f64 #s(literal -1/18 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/480 binary64))))) x))
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))))
(/.f64 (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64))))))
(/.f64 (*.f64 x (*.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x #s(literal 1/540 binary64))))))) x)
(/.f64 (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 binary64))))))))
(*.f64 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 1/1680 binary64))))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -1/6 binary64)) x))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))) x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(/.f64 (/.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64))))) x)
(*.f64 #s(literal 8/3 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 17/80640 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))))))
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))) x))
Calls

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
53.7%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts
11 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))
(/.f64 x #s(literal 3/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/90 binary64)))
(+.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal -2 binary64) x))
(/.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x)
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
(*.f64 #s(literal 8/3 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x #s(literal 1/48 binary64))))))
Outputs
(/.f64 x #s(literal 3/2 binary64))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
53.2%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -26.5b remaining (-88.1%)

Threshold costs -26.5b (-88.1%)

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

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
52.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify9.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
22×*-commutative_binary64
8×+-commutative_binary64
2×1-exp_binary64
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03658
15458
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/480 binary64) (*.f64 x (*.f64 x #s(literal -1/20160 binary64))))))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 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 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
(*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/480 binary64) (*.f64 x (*.f64 x #s(literal -1/20160 binary64))))))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))) x))
(/.f64 x #s(literal 3/2 binary64))
(*.f64 #s(literal 2/3 binary64) x)
(*.f64 x #s(literal 2/3 binary64))

soundness2.0s (20.7%)

Rules
4276×*-lowering-*.f32
4276×*-lowering-*.f64
3930×*-lowering-*.f32
3930×*-lowering-*.f64
3848×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01214
11910
23010
33910
44210
04210
035141
1177130
21217127
08338127
0145850
1415734
21201731
33832731
44903731
56263731
66791731
77270731
08135731
01568
14156
215756
382753
4595453
0805353
01701599
14881389
214851385
345851377
082901377
033135
1186115
21385112
08223112
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×saturated
Compiler

Compiled 244 to 167 computations (31.6% saved)

preprocess79.0ms (0.8%)

Remove

(negabs x)

Compiler

Compiled 228 to 152 computations (33.3% saved)

end0.0ms (0%)

Profiling

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