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

Time bar (total: 10.7s)

analyze273.0ms (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: 141.0ms
ival-mult: 71.0ms (50.4% of total)
ival-div: 39.0ms (27.7% of total)
ival-sin: 26.0ms (18.5% of total)
const: 4.0ms (2.8% of total)
backward-pass: 1.0ms (0.7% of total)

sample1.3s (12.2%)

Results
1.1s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 815.0ms
ival-sin: 395.0ms (48.5% of total)
ival-mult: 250.0ms (30.7% of total)
ival-div: 146.0ms (17.9% of total)
const: 20.0ms (2.5% of total)
backward-pass: 3.0ms (0.4% of total)
Bogosity

preprocess74.0ms (0.7%)

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

Useful iterations: 1 (0.0ms)

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

(negabs x)

explain124.0ms (1.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
580-6(1.3949414080216165e-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)
0132(1.0832431085885805e+300)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
80.0ms512×0valid
Compiler

Compiled 127 to 35 computations (72.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-sin: 28.0ms (54.3% of total)
ival-div: 12.0ms (23.3% of total)
ival-mult: 11.0ms (21.3% of total)
const: 1.0ms (1.9% 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
▶79.6%
(/.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))
▶99.1%
(*.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)

simplify8.0ms (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)

localize75.0ms (0.7%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sin.f64 x)
✓accuracy99.7%
(*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
✓accuracy99.4%
(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
✓accuracy80.0%
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
✓accuracy100.0%
(sin.f64 x)
✓accuracy99.4%
(*.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 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
Results
53.0ms256×0valid
Compiler

Compiled 94 to 16 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-sin: 14.0ms (42.9% of total)
ival-mult: 9.0ms (27.6% of total)
ival-div: 5.0ms (15.3% of total)
...c/correct-round.rkt:119:19: 4.0ms (12.3% of total)
const: 1.0ms (3.1% of total)
backward-pass: 0.0ms (0% of total)

series13.0ms (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
3.0ms
x
@inf
(* x 1/2)
1.0ms
x
@0
(/ 8/3 (sin x))
1.0ms
x
@inf
(* (sin (* x 1/2)) (* (sin (* x 1/2)) (/ 8/3 (sin x))))
1.0ms
x
@-inf
(* (sin (* x 1/2)) (* (sin (* x 1/2)) (/ 8/3 (sin x))))
1.0ms
x
@inf
(* (sin (* x 1/2)) (/ 8/3 (sin x)))

rewrite359.0ms (3.4%)

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)))

simplify344.0ms (3.2%)

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)

eval226.0ms (2.1%)

Compiler

Compiled 24333 to 1791 computations (92.6% saved)

prune146.0ms (1.4%)

Pruning

32 alts after pruning (32 fresh and 0 done)

PrunedKeptTotal
New1148321180
Fresh000
Picked202
Done000
Total1150321182
Accuracy
100.0%
Counts
1182 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.5%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 3/4 binary64))
99.3%
(/.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)))))
54.5%
(/.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
54.5%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 x) #s(literal 8/3 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64))
54.5%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) (sin.f64 x))
54.6%
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 3/8 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))))
54.6%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
54.4%
(/.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))
79.8%
(/.f64 (*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 x))
79.6%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
54.6%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal -3/4 binary64))
▶54.5%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
79.6%
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
29.6%
(/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (sin.f64 x))
54.5%
(/.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))))
▶54.5%
(/.f64 #s(literal -8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (-.f64 #s(literal 0 binary64) (sin.f64 x))))
▶54.4%
(-.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))))
99.3%
(*.f64 (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))) (sin.f64 x)))
54.5%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
54.6%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3/8 binary64)) (/.f64 #s(literal 1/2 binary64) (sin.f64 x)))
▶99.5%
(*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)))
54.5%
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
54.5%
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))))
48.5%
(*.f64 (*.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))))))))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
52.5%
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -8/3 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (sin.f64 x)))
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) (+.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))))))))
52.9%
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
48.4%
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 binary64))))))))
48.4%
(*.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)))))))
48.4%
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))
79.5%
(*.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)))
▶48.6%
(*.f64 #s(literal 2/3 binary64) x)
Compiler

Compiled 908 to 652 computations (28.2% saved)

simplify158.0ms (1.5%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (cos.f64 x) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
✓cost-diff0
(sin.f64 x)
✓cost-diff0
(/.f64 #s(literal 4/3 binary64) (sin.f64 x))
✓cost-diff13056
(-.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓cost-diff0
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
✓cost-diff128
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (-.f64 #s(literal 0 binary64) (sin.f64 x)))
✓cost-diff6784
(/.f64 #s(literal -8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (-.f64 #s(literal 0 binary64) (sin.f64 x))))
✓cost-diff0
(cos.f64 x)
✓cost-diff0
(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))
✓cost-diff6528
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
✓cost-diff0
(*.f64 #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
1600×fmsub-define
1550×fnmsub-define
1344×fmm-def
1290×fma-define
1224×*-lowering-*.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
026137
152137
2119123
3267122
4578122
51397122
65352122
08033122
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
(/ (* (- 1 (cos x)) 4/3) (sin x))
(* (- 1 (cos x)) 4/3)
(- 1 (cos x))
1
(cos x)
x
4/3
(sin x)
(/ -8/3 (* (/ 2 (- 1 (cos x))) (- 0 (sin x))))
-8/3
(* (/ 2 (- 1 (cos x))) (- 0 (sin x)))
(/ 2 (- 1 (cos x)))
2
(- 1 (cos x))
1
(cos x)
x
(- 0 (sin x))
0
(sin x)
(- (/ 4/3 (sin x)) (* (cos x) (/ 4/3 (sin x))))
(/ 4/3 (sin x))
4/3
(sin x)
x
(* (cos x) (/ 4/3 (sin x)))
(cos x)
Outputs
(* (/ (sin (/ x 2)) (sin x)) (/ (sin (/ x 2)) 3/8))
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))))
(/ (sin (/ x 2)) (sin x))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))
(sin (/ x 2))
(sin.f64 (/.f64 x #s(literal 2 binary64)))
(/ x 2)
(/.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
(sin x)
(sin.f64 x)
(/ (sin (/ x 2)) 3/8)
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64))
3/8
#s(literal 3/8 binary64)
(* 2/3 x)
(*.f64 x #s(literal 2/3 binary64))
2/3
#s(literal 2/3 binary64)
x
(/ (* (- 1 (cos x)) 4/3) (sin x))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* (- 1 (cos x)) 4/3)
(+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64)))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
1
#s(literal 1 binary64)
(cos x)
(cos.f64 x)
x
4/3
#s(literal 4/3 binary64)
(sin x)
(sin.f64 x)
(/ -8/3 (* (/ 2 (- 1 (cos x))) (- 0 (sin x))))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
-8/3
#s(literal -8/3 binary64)
(* (/ 2 (- 1 (cos x))) (- 0 (sin x)))
(/.f64 (*.f64 (sin.f64 x) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ 2 (- 1 (cos x)))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
2
#s(literal 2 binary64)
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
1
#s(literal 1 binary64)
(cos x)
(cos.f64 x)
x
(- 0 (sin x))
(-.f64 #s(literal 0 binary64) (sin.f64 x))
0
#s(literal 0 binary64)
(sin x)
(sin.f64 x)
(- (/ 4/3 (sin x)) (* (cos x) (/ 4/3 (sin x))))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/ 4/3 (sin x))
(/.f64 #s(literal 4/3 binary64) (sin.f64 x))
4/3
#s(literal 4/3 binary64)
(sin x)
(sin.f64 x)
x
(* (cos x) (/ 4/3 (sin x)))
(/.f64 (*.f64 (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
(cos x)
(cos.f64 x)

localize346.0ms (3.2%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cos.f64 x)
✓accuracy99.7%
(*.f64 (cos.f64 x) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
✓accuracy99.4%
(/.f64 #s(literal 4/3 binary64) (sin.f64 x))
✓accuracy54.5%
(-.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))))
✓accuracy99.8%
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
✓accuracy99.3%
(/.f64 #s(literal -8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (-.f64 #s(literal 0 binary64) (sin.f64 x))))
✓accuracy78.6%
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (-.f64 #s(literal 0 binary64) (sin.f64 x)))
✓accuracy75.4%
(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓accuracy100.0%
(cos.f64 x)
✓accuracy99.6%
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))
✓accuracy80.0%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
✓accuracy75.4%
(-.f64 #s(literal 1 binary64) (cos.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
152.0ms76×2valid
73.0ms135×0valid
40.0ms28×1valid
37.0ms17×3valid
Compiler

Compiled 148 to 27 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 221.0ms
ival-sin: 59.0ms (26.7% of total)
ival-mult: 42.0ms (19% of total)
...c/correct-round.rkt:119:19: 38.0ms (17.2% of total)
ival-cos: 33.0ms (14.9% of total)
ival-div: 27.0ms (12.2% of total)
backward-pass: 12.0ms (5.4% of total)
ival-sub: 8.0ms (3.6% of total)
const: 1.0ms (0.5% of total)

series19.0ms (0.2%)

Counts
17 → 204
Calls
Call 1
Inputs
#<alt (* (/ (sin (/ x 2)) (sin x)) (/ (sin (/ x 2)) 3/8))>
#<alt (/ (sin (/ x 2)) (sin x))>
#<alt (sin (/ x 2))>
#<alt (/ x 2)>
#<alt (* 2/3 x)>
#<alt (/ (* (- 1 (cos x)) 4/3) (sin x))>
#<alt (* (- 1 (cos x)) 4/3)>
#<alt (- 1 (cos x))>
#<alt (cos x)>
#<alt (/ -8/3 (* (/ 2 (- 1 (cos x))) (- 0 (sin x))))>
#<alt (* (/ 2 (- 1 (cos x))) (- 0 (sin x)))>
#<alt (/ 2 (- 1 (cos x)))>
#<alt (- (/ 4/3 (sin x)) (* (cos x) (/ 4/3 (sin x))))>
#<alt (/ 4/3 (sin x))>
#<alt (sin x)>
#<alt (* (cos x) (/ 4/3 (sin x)))>
#<alt (/ (sin (/ x 2)) 3/8)>
Outputs
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/16 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/48 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 2/3 (pow x 2))>
#<alt (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))>
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))>
#<alt (* 4/3 (- 1 (cos x)))>
#<alt (* 4/3 (- 1 (cos x)))>
#<alt (* 4/3 (- 1 (cos x)))>
#<alt (* 4/3 (- 1 (cos x)))>
#<alt (* 4/3 (- 1 (cos x)))>
#<alt (* 4/3 (- 1 (cos x)))>
#<alt (* 4/3 (- 1 (cos x)))>
#<alt (* 4/3 (- 1 (cos x)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (/ -4 x)>
#<alt (/ (- (* 1/3 (pow x 2)) 4) x)>
#<alt (/ (- (* (pow x 2) (+ 1/3 (* 1/180 (pow x 2)))) 4) x)>
#<alt (/ (- (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/180 (* 1/7560 (pow x 2)))))) 4) x)>
#<alt (* -2 (/ (sin x) (- 1 (cos x))))>
#<alt (* -2 (/ (sin x) (- 1 (cos x))))>
#<alt (* -2 (/ (sin x) (- 1 (cos x))))>
#<alt (* -2 (/ (sin x) (- 1 (cos x))))>
#<alt (* -2 (/ (sin x) (- 1 (cos x))))>
#<alt (* -2 (/ (sin x) (- 1 (cos x))))>
#<alt (* -2 (/ (sin x) (- 1 (cos x))))>
#<alt (* -2 (/ (sin x) (- 1 (cos x))))>
#<alt (/ 4 (pow x 2))>
#<alt (/ (+ 4 (* 1/3 (pow x 2))) (pow x 2))>
#<alt (/ (+ 4 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))) (pow x 2))>
#<alt (/ (+ 4 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/1512 (pow x 2))))))) (pow x 2))>
#<alt (/ 2 (- 1 (cos x)))>
#<alt (/ 2 (- 1 (cos x)))>
#<alt (/ 2 (- 1 (cos x)))>
#<alt (/ 2 (- 1 (cos x)))>
#<alt (/ 2 (- 1 (cos x)))>
#<alt (/ 2 (- 1 (cos x)))>
#<alt (/ 2 (- 1 (cos x)))>
#<alt (/ 2 (- 1 (cos x)))>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (- (* 4/3 (/ 1 (sin x))) (* 4/3 (/ (cos x) (sin x))))>
#<alt (- (* 4/3 (/ 1 (sin x))) (* 4/3 (/ (cos x) (sin x))))>
#<alt (- (* 4/3 (/ 1 (sin x))) (* 4/3 (/ (cos x) (sin x))))>
#<alt (- (* 4/3 (/ 1 (sin x))) (* 4/3 (/ (cos x) (sin x))))>
#<alt (- (* 4/3 (/ 1 (sin x))) (* 4/3 (/ (cos x) (sin x))))>
#<alt (- (* 4/3 (/ 1 (sin x))) (* 4/3 (/ (cos x) (sin x))))>
#<alt (- (* 4/3 (/ 1 (sin x))) (* 4/3 (/ (cos x) (sin x))))>
#<alt (- (* 4/3 (/ 1 (sin x))) (* 4/3 (/ (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 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 (/ 4/3 x)>
#<alt (/ (+ 4/3 (* -4/9 (pow x 2))) x)>
#<alt (/ (+ 4/3 (* (pow x 2) (- (* -4/135 (pow x 2)) 4/9))) x)>
#<alt (/ (+ 4/3 (* (pow x 2) (- (* (pow x 2) (- (* -8/2835 (pow x 2)) 4/135)) 4/9))) x)>
#<alt (* 4/3 (/ (cos x) (sin x)))>
#<alt (* 4/3 (/ (cos x) (sin x)))>
#<alt (* 4/3 (/ (cos x) (sin x)))>
#<alt (* 4/3 (/ (cos x) (sin x)))>
#<alt (* 4/3 (/ (cos x) (sin x)))>
#<alt (* 4/3 (/ (cos x) (sin x)))>
#<alt (* 4/3 (/ (cos x) (sin x)))>
#<alt (* 4/3 (/ (cos x) (sin 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)))>
Calls

51 calls:

TimeVariablePointExpression
3.0ms
x
@0
(- (/ 4/3 (sin x)) (* (cos x) (/ 4/3 (sin x))))
3.0ms
x
@0
(* (/ 2 (- 1 (cos x))) (- 0 (sin x)))
1.0ms
x
@inf
(- (/ 4/3 (sin x)) (* (cos x) (/ 4/3 (sin x))))
1.0ms
x
@-inf
(- (/ 4/3 (sin x)) (* (cos x) (/ 4/3 (sin x))))
1.0ms
x
@-inf
(* (/ 2 (- 1 (cos x))) (- 0 (sin x)))

rewrite405.0ms (3.8%)

Algorithm
1×batch-egg-rewrite
Rules
3778×/-lowering-/.f32
3778×/-lowering-/.f64
3360×*-lowering-*.f32
3360×*-lowering-*.f64
1352×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026105
1140101
2117291
0872191
Stop Event
1×iter limit
1×node limit
Counts
17 → 1128
Calls
Call 1
Inputs
(* (/ (sin (/ x 2)) (sin x)) (/ (sin (/ x 2)) 3/8))
(/ (sin (/ x 2)) (sin x))
(sin (/ x 2))
(/ x 2)
(* 2/3 x)
(/ (* (- 1 (cos x)) 4/3) (sin x))
(* (- 1 (cos x)) 4/3)
(- 1 (cos x))
(cos x)
(/ -8/3 (* (/ 2 (- 1 (cos x))) (- 0 (sin x))))
(* (/ 2 (- 1 (cos x))) (- 0 (sin x)))
(/ 2 (- 1 (cos x)))
(- (/ 4/3 (sin x)) (* (cos x) (/ 4/3 (sin x))))
(/ 4/3 (sin x))
(sin x)
(* (cos x) (/ 4/3 (sin x)))
(/ (sin (/ x 2)) 3/8)
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))))
(neg.f64 (*.f64 (/.f64 (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))) #s(literal 3/8 binary64))))
(neg.f64 (*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/8 binary64)) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))))
(neg.f64 (*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/8 binary64))))
(neg.f64 (*.f64 (/.f64 (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 0 binary64) (sin.f64 x)))))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64))))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 3/8 binary64)))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 3/8 binary64) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 x)))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -3/8 binary64))))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 (/.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (sin.f64 x)))))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)))))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal -3/8 binary64) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (-.f64 #s(literal 4/3 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))) #s(literal 3/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 4/3 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))) #s(literal 3/8 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 x) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64))) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 3/8 binary64) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.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 -1 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 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 x) #s(literal 8/3 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))))
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(*.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) x)))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 4/3 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) x)))))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) #s(literal 4/3 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -4/3 binary64) (sin.f64 x)))
(neg.f64 (/.f64 #s(literal -4/3 binary64) (sin.f64 x)))
(neg.f64 (*.f64 (/.f64 #s(literal -4/3 binary64) (sin.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) #s(literal 4/3 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (sin.f64 x) #s(literal -3/4 binary64))))
(/.f64 #s(literal 4/3 binary64) (sin.f64 x))
(/.f64 #s(literal -4/3 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 x) #s(literal -3/4 binary64)))
(pow.f64 (/.f64 (sin.f64 x) #s(literal 4/3 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
(*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal -4/3 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 4/3 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -4/3 binary64) (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) #s(literal -3/4 binary64))))
(*.f64 (/.f64 #s(literal 4/3 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 #s(literal 2 binary64) x)))))
(*.f64 (/.f64 #s(literal 4/3 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (sin.f64 x))
(*.f64 (pow.f64 (/.f64 (sin.f64 x) #s(literal 4/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sin.f64 x) #s(literal 4/3 binary64)) #s(literal -1/2 binary64)))
(+.f64 (sin.f64 x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (sin.f64 x))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (sin.f64 x)))
(-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) (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 #s(literal 1 binary64) (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal -1 binary64))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 #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) x)))) (sin.f64 x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (-.f64 (sin.f64 x) #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(*.f64 (sin.f64 x) #s(literal 1 binary64))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (sin.f64 x)))
(*.f64 #s(literal 1 binary64) (sin.f64 x))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal -1 binary64) (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) x))))) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3/2 binary64)) (sin.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3/2 binary64)) (sin.f64 x)))
(neg.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal -3/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) #s(literal 4/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) #s(literal 4/3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 x) #s(literal 4/3 binary64)) (cos.f64 x)))
(/.f64 (cos.f64 x) (/.f64 (sin.f64 x) #s(literal 4/3 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal -3/4 binary64)))
(/.f64 (*.f64 (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) #s(literal 4/3 binary64)))))
(/.f64 (*.f64 (cos.f64 x) #s(literal -4/3 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) (sin.f64 x))
(pow.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) #s(literal 4/3 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) #s(literal 4/3 binary64))))
(*.f64 (cos.f64 x) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
(*.f64 #s(literal 4/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (cos.f64 x)))
(*.f64 #s(literal 4/3 binary64) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (cos.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) #s(literal 3/4 binary64)))
(*.f64 (*.f64 (cos.f64 x) #s(literal 4/3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(*.f64 (*.f64 (cos.f64 x) #s(literal -4/3 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(*.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
(*.f64 (/.f64 #s(literal 4/3 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (/.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) #s(literal 4/3 binary64))
(*.f64 (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal -4/3 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) x)))))))
(*.f64 (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (/.f64 #s(literal -4/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(*.f64 (/.f64 (cos.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -4/3 binary64) (sin.f64 x)))
(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)))
(neg.f64 (*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/8 binary64)) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.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 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -3/8 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))))))
(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 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -8/3 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 (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)))

simplify327.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
5000×+-lowering-+.f64
5000×+-lowering-+.f32
3164×*-lowering-*.f32
3164×*-lowering-*.f64
1640×sum4-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02481468
16881286
219701286
337071275
465331275
080721275
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))))))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
1/2
(+ 1/2 (* 1/16 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(* 1/2 x)
(* x (+ 1/2 (* -1/48 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(* 4/3 (- 1 (cos x)))
(* 4/3 (- 1 (cos x)))
(* 4/3 (- 1 (cos x)))
(* 4/3 (- 1 (cos x)))
(* 4/3 (- 1 (cos x)))
(* 4/3 (- 1 (cos x)))
(* 4/3 (- 1 (cos x)))
(* 4/3 (- 1 (cos x)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(/ -4 x)
(/ (- (* 1/3 (pow x 2)) 4) x)
(/ (- (* (pow x 2) (+ 1/3 (* 1/180 (pow x 2)))) 4) x)
(/ (- (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/180 (* 1/7560 (pow x 2)))))) 4) x)
(* -2 (/ (sin x) (- 1 (cos x))))
(* -2 (/ (sin x) (- 1 (cos x))))
(* -2 (/ (sin x) (- 1 (cos x))))
(* -2 (/ (sin x) (- 1 (cos x))))
(* -2 (/ (sin x) (- 1 (cos x))))
(* -2 (/ (sin x) (- 1 (cos x))))
(* -2 (/ (sin x) (- 1 (cos x))))
(* -2 (/ (sin x) (- 1 (cos x))))
(/ 4 (pow x 2))
(/ (+ 4 (* 1/3 (pow x 2))) (pow x 2))
(/ (+ 4 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))) (pow x 2))
(/ (+ 4 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/1512 (pow x 2))))))) (pow x 2))
(/ 2 (- 1 (cos x)))
(/ 2 (- 1 (cos x)))
(/ 2 (- 1 (cos x)))
(/ 2 (- 1 (cos x)))
(/ 2 (- 1 (cos x)))
(/ 2 (- 1 (cos x)))
(/ 2 (- 1 (cos x)))
(/ 2 (- 1 (cos x)))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(- (* 4/3 (/ 1 (sin x))) (* 4/3 (/ (cos x) (sin x))))
(- (* 4/3 (/ 1 (sin x))) (* 4/3 (/ (cos x) (sin x))))
(- (* 4/3 (/ 1 (sin x))) (* 4/3 (/ (cos x) (sin x))))
(- (* 4/3 (/ 1 (sin x))) (* 4/3 (/ (cos x) (sin x))))
(- (* 4/3 (/ 1 (sin x))) (* 4/3 (/ (cos x) (sin x))))
(- (* 4/3 (/ 1 (sin x))) (* 4/3 (/ (cos x) (sin x))))
(- (* 4/3 (/ 1 (sin x))) (* 4/3 (/ (cos x) (sin x))))
(- (* 4/3 (/ 1 (sin x))) (* 4/3 (/ (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))
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)
(/ 4/3 x)
(/ (+ 4/3 (* -4/9 (pow x 2))) x)
(/ (+ 4/3 (* (pow x 2) (- (* -4/135 (pow x 2)) 4/9))) x)
(/ (+ 4/3 (* (pow x 2) (- (* (pow x 2) (- (* -8/2835 (pow x 2)) 4/135)) 4/9))) x)
(* 4/3 (/ (cos x) (sin x)))
(* 4/3 (/ (cos x) (sin x)))
(* 4/3 (/ (cos x) (sin x)))
(* 4/3 (/ (cos x) (sin x)))
(* 4/3 (/ (cos x) (sin x)))
(* 4/3 (/ (cos x) (sin x)))
(* 4/3 (/ (cos x) (sin x)))
(* 4/3 (/ (cos x) (sin 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)))
Outputs
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 binary64)))))))))
(* 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))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/16 (pow x 2)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) #s(literal 5/768 binary64))))))
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 5/768 binary64) (*.f64 (*.f64 x x) #s(literal 61/92160 binary64)))))))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))
(* 1/2 x)
(/.f64 x #s(literal 2 binary64))
(* x (+ 1/2 (* -1/48 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 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 x (*.f64 x (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) #s(literal 1/3840 binary64)))))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3840 binary64) (*.f64 (*.f64 x x) #s(literal -1/645120 binary64))))))))
(sin (* 1/2 x))
(sin.f64 (/.f64 x #s(literal 2 binary64)))
(sin (* 1/2 x))
(sin.f64 (/.f64 x #s(literal 2 binary64)))
(sin (* 1/2 x))
(sin.f64 (/.f64 x #s(literal 2 binary64)))
(sin (* 1/2 x))
(sin.f64 (/.f64 x #s(literal 2 binary64)))
(sin (* 1/2 x))
(sin.f64 (/.f64 x #s(literal 2 binary64)))
(sin (* 1/2 x))
(sin.f64 (/.f64 x #s(literal 2 binary64)))
(sin (* 1/2 x))
(sin.f64 (/.f64 x #s(literal 2 binary64)))
(sin (* 1/2 x))
(sin.f64 (/.f64 x #s(literal 2 binary64)))
(* 1/2 x)
(/.f64 x #s(literal 2 binary64))
(* 1/2 x)
(/.f64 x #s(literal 2 binary64))
(* 1/2 x)
(/.f64 x #s(literal 2 binary64))
(* 1/2 x)
(/.f64 x #s(literal 2 binary64))
(* 1/2 x)
(/.f64 x #s(literal 2 binary64))
(* 1/2 x)
(/.f64 x #s(literal 2 binary64))
(* 1/2 x)
(/.f64 x #s(literal 2 binary64))
(* 1/2 x)
(/.f64 x #s(literal 2 binary64))
(* 1/2 x)
(/.f64 x #s(literal 2 binary64))
(* 1/2 x)
(/.f64 x #s(literal 2 binary64))
(* 1/2 x)
(/.f64 x #s(literal 2 binary64))
(* 1/2 x)
(/.f64 x #s(literal 2 binary64))
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 binary64)))))))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 2/3 (pow x 2))
(*.f64 #s(literal 2/3 binary64) (*.f64 x x))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/540 binary64))))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/540 binary64) (*.f64 (*.f64 x x) #s(literal -1/30240 binary64))))))))
(* 4/3 (- 1 (cos x)))
(*.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(* 4/3 (- 1 (cos x)))
(*.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(* 4/3 (- 1 (cos x)))
(*.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(* 4/3 (- 1 (cos x)))
(*.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(* 4/3 (- 1 (cos x)))
(*.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(* 4/3 (- 1 (cos x)))
(*.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(* 4/3 (- 1 (cos x)))
(*.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(* 4/3 (- 1 (cos x)))
(*.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(* 1/2 (pow x 2))
(/.f64 (*.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64))))))))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 binary64)))))))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/ -4 x)
(/.f64 #s(literal -4 binary64) x)
(/ (- (* 1/3 (pow x 2)) 4) x)
(+.f64 (/.f64 #s(literal -4 binary64) x) (*.f64 x #s(literal 1/3 binary64)))
(/ (- (* (pow x 2) (+ 1/3 (* 1/180 (pow x 2)))) 4) x)
(+.f64 (/.f64 #s(literal -4 binary64) x) (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/180 binary64)) #s(literal 1/3 binary64))))
(/ (- (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/180 (* 1/7560 (pow x 2)))))) 4) x)
(+.f64 (/.f64 #s(literal -4 binary64) x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/7560 binary64))))))))
(* -2 (/ (sin x) (- 1 (cos x))))
(/.f64 (*.f64 (sin.f64 x) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(* -2 (/ (sin x) (- 1 (cos x))))
(/.f64 (*.f64 (sin.f64 x) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(* -2 (/ (sin x) (- 1 (cos x))))
(/.f64 (*.f64 (sin.f64 x) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(* -2 (/ (sin x) (- 1 (cos x))))
(/.f64 (*.f64 (sin.f64 x) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(* -2 (/ (sin x) (- 1 (cos x))))
(/.f64 (*.f64 (sin.f64 x) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(* -2 (/ (sin x) (- 1 (cos x))))
(/.f64 (*.f64 (sin.f64 x) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(* -2 (/ (sin x) (- 1 (cos x))))
(/.f64 (*.f64 (sin.f64 x) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(* -2 (/ (sin x) (- 1 (cos x))))
(/.f64 (*.f64 (sin.f64 x) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ 4 (pow x 2))
(/.f64 #s(literal 4 binary64) (*.f64 x x))
(/ (+ 4 (* 1/3 (pow x 2))) (pow x 2))
(/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) #s(literal 4 binary64)) (*.f64 x x))
(/ (+ 4 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))) (*.f64 x x))
(/ (+ 4 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/1512 (pow x 2))))))) (pow x 2))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/60 binary64) (*.f64 (*.f64 x x) #s(literal 1/1512 binary64))))))) (*.f64 x x))
(/ 2 (- 1 (cos x)))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ 2 (- 1 (cos x)))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ 2 (- 1 (cos x)))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ 2 (- 1 (cos x)))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ 2 (- 1 (cos x)))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ 2 (- 1 (cos x)))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ 2 (- 1 (cos x)))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ 2 (- 1 (cos x)))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 binary64)))))))))
(- (* 4/3 (/ 1 (sin x))) (* 4/3 (/ (cos x) (sin x))))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(- (* 4/3 (/ 1 (sin x))) (* 4/3 (/ (cos x) (sin x))))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(- (* 4/3 (/ 1 (sin x))) (* 4/3 (/ (cos x) (sin x))))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(- (* 4/3 (/ 1 (sin x))) (* 4/3 (/ (cos x) (sin x))))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(- (* 4/3 (/ 1 (sin x))) (* 4/3 (/ (cos x) (sin x))))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(- (* 4/3 (/ 1 (sin x))) (* 4/3 (/ (cos x) (sin x))))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(- (* 4/3 (/ 1 (sin x))) (* 4/3 (/ (cos x) (sin x))))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(- (* 4/3 (/ 1 (sin x))) (* 4/3 (/ (cos x) (sin x))))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/ 4/3 x)
(/.f64 #s(literal 4/3 binary64) x)
(/ (+ 4/3 (* 2/9 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/9 binary64))) x)
(/ (+ 4/3 (* (pow x 2) (+ 2/9 (* 7/270 (pow x 2))))) x)
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/9 binary64) (*.f64 (*.f64 x x) #s(literal 7/270 binary64)))))) x)
(/ (+ 4/3 (* (pow x 2) (+ 2/9 (* (pow x 2) (+ 7/270 (* 31/11340 (pow x 2))))))) x)
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/9 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 7/270 binary64) (*.f64 (*.f64 x x) #s(literal 31/11340 binary64)))))))) x)
(/ 4/3 (sin x))
(/.f64 #s(literal 4/3 binary64) (sin.f64 x))
(/ 4/3 (sin x))
(/.f64 #s(literal 4/3 binary64) (sin.f64 x))
(/ 4/3 (sin x))
(/.f64 #s(literal 4/3 binary64) (sin.f64 x))
(/ 4/3 (sin x))
(/.f64 #s(literal 4/3 binary64) (sin.f64 x))
(/ 4/3 (sin x))
(/.f64 #s(literal 4/3 binary64) (sin.f64 x))
(/ 4/3 (sin x))
(/.f64 #s(literal 4/3 binary64) (sin.f64 x))
(/ 4/3 (sin x))
(/.f64 #s(literal 4/3 binary64) (sin.f64 x))
(/ 4/3 (sin x))
(/.f64 #s(literal 4/3 binary64) (sin.f64 x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.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 x (*.f64 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)
(/ 4/3 x)
(/.f64 #s(literal 4/3 binary64) x)
(/ (+ 4/3 (* -4/9 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) #s(literal -4/9 binary64))) x)
(/ (+ 4/3 (* (pow x 2) (- (* -4/135 (pow x 2)) 4/9))) x)
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -4/9 binary64) (*.f64 x (*.f64 x #s(literal -4/135 binary64)))))) x)
(/ (+ 4/3 (* (pow x 2) (- (* (pow x 2) (- (* -8/2835 (pow x 2)) 4/135)) 4/9))) x)
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -4/9 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -4/135 binary64) (*.f64 (*.f64 x x) #s(literal -8/2835 binary64))))))) x)
(* 4/3 (/ (cos x) (sin x)))
(/.f64 (*.f64 #s(literal 4/3 binary64) (cos.f64 x)) (sin.f64 x))
(* 4/3 (/ (cos x) (sin x)))
(/.f64 (*.f64 #s(literal 4/3 binary64) (cos.f64 x)) (sin.f64 x))
(* 4/3 (/ (cos x) (sin x)))
(/.f64 (*.f64 #s(literal 4/3 binary64) (cos.f64 x)) (sin.f64 x))
(* 4/3 (/ (cos x) (sin x)))
(/.f64 (*.f64 #s(literal 4/3 binary64) (cos.f64 x)) (sin.f64 x))
(* 4/3 (/ (cos x) (sin x)))
(/.f64 (*.f64 #s(literal 4/3 binary64) (cos.f64 x)) (sin.f64 x))
(* 4/3 (/ (cos x) (sin x)))
(/.f64 (*.f64 #s(literal 4/3 binary64) (cos.f64 x)) (sin.f64 x))
(* 4/3 (/ (cos x) (sin x)))
(/.f64 (*.f64 #s(literal 4/3 binary64) (cos.f64 x)) (sin.f64 x))
(* 4/3 (/ (cos x) (sin x)))
(/.f64 (*.f64 #s(literal 4/3 binary64) (cos.f64 x)) (sin.f64 x))
(* 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 (*.f64 x 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 x (*.f64 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))))

eval234.0ms (2.2%)

Compiler

Compiled 36833 to 2732 computations (92.6% saved)

prune183.0ms (1.7%)

Pruning

19 alts after pruning (17 fresh and 2 done)

PrunedKeptTotal
New1662131675
Fresh23427
Picked325
Done000
Total1688191707
Accuracy
100.0%
Counts
1707 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.5%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 3/4 binary64))
54.5%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) (sin.f64 x))
54.4%
(/.f64 (-.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal 4/3 binary64))) (sin.f64 x))
▶54.6%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
28.1%
(/.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)))))))) #s(literal 4/3 binary64)) (sin.f64 x))
79.6%
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
99.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))))
▶48.6%
(/.f64 #s(literal -8/3 binary64) (/.f64 #s(literal -4 binary64) x))
49.1%
(/.f64 #s(literal -8/3 binary64) (+.f64 (/.f64 #s(literal -4 binary64) x) (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/180 binary64)) #s(literal 1/3 binary64)))))
49.1%
(/.f64 #s(literal -8/3 binary64) (+.f64 (/.f64 #s(literal -4 binary64) x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/7560 binary64)))))))))
49.2%
(/.f64 #s(literal -8/3 binary64) (+.f64 (/.f64 #s(literal -4 binary64) x) (*.f64 x #s(literal 1/3 binary64))))
▶54.6%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3/8 binary64)) (/.f64 #s(literal 1/2 binary64) (sin.f64 x)))
✓99.5%
(*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)))
99.3%
(*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))))
48.8%
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)))
▶99.3%
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
99.0%
(*.f64 (sin.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3/4 binary64)))
✓48.6%
(*.f64 #s(literal 2/3 binary64) x)
▶53.2%
(*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)))
Compiler

Compiled 463 to 344 computations (25.7% saved)

simplify129.0ms (1.2%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(cos.f64 x)
✓cost-diff0
(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3/8 binary64))
✓cost-diff6656
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3/8 binary64)) (/.f64 #s(literal 1/2 binary64) (sin.f64 x)))
✓cost-diff0
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
✓cost-diff0
(cos.f64 x)
✓cost-diff0
(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓cost-diff6528
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
✓cost-diff0
(/.f64 x #s(literal 2 binary64))
✓cost-diff0
(sin.f64 (/.f64 x #s(literal 2 binary64)))
✓cost-diff0
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64))
✓cost-diff128
(*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)))
✓cost-diff0
(/.f64 #s(literal -4 binary64) x)
✓cost-diff128
(/.f64 #s(literal -8/3 binary64) (/.f64 #s(literal -4 binary64) x))
✓cost-diff0
(/.f64 x #s(literal 2 binary64))
✓cost-diff0
(tan.f64 (/.f64 x #s(literal 2 binary64)))
✓cost-diff0
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
Rules
1776×sum5-define
1728×sum3-define
1384×fma-define
1340×fma-lowering-fma.f32
1340×fma-lowering-fma.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02599
15199
28497
315297
432896
572096
6182396
7418496
8711896
0824996
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (tan (/ x 2)) 4/3)
(tan (/ x 2))
(/ x 2)
x
2
4/3
(/ -8/3 (/ -4 x))
-8/3
(/ -4 x)
-4
x
(* 1/2 (/ (sin (/ x 2)) 3/8))
1/2
(/ (sin (/ x 2)) 3/8)
(sin (/ x 2))
(/ x 2)
x
2
3/8
(/ (- 1 (cos x)) (* (sin x) 3/4))
(- 1 (cos x))
1
(cos x)
x
(* (sin x) 3/4)
(sin x)
3/4
(* (/ (- 1 (cos x)) 3/8) (/ 1/2 (sin x)))
(/ (- 1 (cos x)) 3/8)
(- 1 (cos x))
1
(cos x)
x
3/8
(/ 1/2 (sin x))
1/2
(sin x)
Outputs
(* (tan (/ x 2)) 4/3)
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
(tan (/ x 2))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/ x 2)
(/.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
4/3
#s(literal 4/3 binary64)
(/ -8/3 (/ -4 x))
(*.f64 x #s(literal 2/3 binary64))
-8/3
#s(literal -8/3 binary64)
(/ -4 x)
(/.f64 #s(literal -4 binary64) x)
-4
#s(literal -4 binary64)
x
(* 1/2 (/ (sin (/ x 2)) 3/8))
(*.f64 #s(literal 4/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))
1/2
#s(literal 1/2 binary64)
(/ (sin (/ x 2)) 3/8)
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64))
(sin (/ x 2))
(sin.f64 (/.f64 x #s(literal 2 binary64)))
(/ x 2)
(/.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
3/8
#s(literal 3/8 binary64)
(/ (- 1 (cos x)) (* (sin x) 3/4))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
1
#s(literal 1 binary64)
(cos x)
(cos.f64 x)
x
(* (sin x) 3/4)
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
(sin x)
(sin.f64 x)
3/4
#s(literal 3/4 binary64)
(* (/ (- 1 (cos x)) 3/8) (/ 1/2 (sin x)))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
(/ (- 1 (cos x)) 3/8)
(-.f64 #s(literal 8/3 binary64) (/.f64 (cos.f64 x) #s(literal 3/8 binary64)))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
1
#s(literal 1 binary64)
(cos x)
(cos.f64 x)
x
3/8
#s(literal 3/8 binary64)
(/ 1/2 (sin x))
(/.f64 #s(literal 1/2 binary64) (sin.f64 x))
1/2
#s(literal 1/2 binary64)
(sin x)
(sin.f64 x)

localize285.0ms (2.7%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(/.f64 #s(literal 1/2 binary64) (sin.f64 x))
✓accuracy99.8%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3/8 binary64))
✓accuracy80.0%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3/8 binary64)) (/.f64 #s(literal 1/2 binary64) (sin.f64 x)))
✓accuracy75.4%
(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓accuracy100.0%
(cos.f64 x)
✓accuracy99.7%
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
✓accuracy79.9%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
✓accuracy75.4%
(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓accuracy100.0%
(/.f64 x #s(literal 2 binary64))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)))
✓accuracy100.0%
(sin.f64 (/.f64 x #s(literal 2 binary64)))
✓accuracy99.8%
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64))
✓accuracy100.0%
(/.f64 #s(literal -4 binary64) x)
✓accuracy99.4%
(/.f64 #s(literal -8/3 binary64) (/.f64 #s(literal -4 binary64) x))
✓accuracy100.0%
(/.f64 x #s(literal 2 binary64))
✓accuracy100.0%
(tan.f64 (/.f64 x #s(literal 2 binary64)))
✓accuracy99.3%
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
Results
84.0ms45×2valid
83.0ms65×1valid
55.0ms135×0valid
25.0ms11×3valid
Compiler

Compiled 111 to 26 computations (76.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 155.0ms
ival-div: 42.0ms (27.1% of total)
ival-cos: 38.0ms (24.5% of total)
ival-sin: 22.0ms (14.2% of total)
backward-pass: 15.0ms (9.7% of total)
...c/correct-round.rkt:119:19: 13.0ms (8.4% of total)
ival-mult: 12.0ms (7.7% of total)
ival-tan: 10.0ms (6.4% of total)
ival-sub: 3.0ms (1.9% of total)
const: 2.0ms (1.3% of total)

series10.0ms (0.1%)

Counts
15 → 180
Calls
Call 1
Inputs
#<alt (* (tan (/ x 2)) 4/3)>
#<alt (tan (/ x 2))>
#<alt (/ x 2)>
#<alt (/ -8/3 (/ -4 x))>
#<alt (/ -4 x)>
#<alt (* 1/2 (/ (sin (/ x 2)) 3/8))>
#<alt (/ (sin (/ x 2)) 3/8)>
#<alt (sin (/ x 2))>
#<alt (/ (- 1 (cos x)) (* (sin x) 3/4))>
#<alt (- 1 (cos x))>
#<alt (cos x)>
#<alt (* (sin x) 3/4)>
#<alt (* (/ (- 1 (cos x)) 3/8) (/ 1/2 (sin x)))>
#<alt (/ (- 1 (cos x)) 3/8)>
#<alt (/ 1/2 (sin x))>
Outputs
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (/ -4 x)>
#<alt (/ -4 x)>
#<alt (/ -4 x)>
#<alt (/ -4 x)>
#<alt (/ -4 x)>
#<alt (/ -4 x)>
#<alt (/ -4 x)>
#<alt (/ -4 x)>
#<alt (/ -4 x)>
#<alt (/ -4 x)>
#<alt (/ -4 x)>
#<alt (/ -4 x)>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* -1/36 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (- (* 1/2880 (pow x 2)) 1/36))))>
#<alt (* x (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/2880 (* -1/483840 (pow x 2)))) 1/36))))>
#<alt (* 4/3 (sin (* 1/2 x)))>
#<alt (* 4/3 (sin (* 1/2 x)))>
#<alt (* 4/3 (sin (* 1/2 x)))>
#<alt (* 4/3 (sin (* 1/2 x)))>
#<alt (* 4/3 (sin (* 1/2 x)))>
#<alt (* 4/3 (sin (* 1/2 x)))>
#<alt (* 4/3 (sin (* 1/2 x)))>
#<alt (* 4/3 (sin (* 1/2 x)))>
#<alt (* 4/3 x)>
#<alt (* x (+ 4/3 (* -1/18 (pow x 2))))>
#<alt (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))>
#<alt (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/48 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (* 3/4 x)>
#<alt (* x (+ 3/4 (* -1/8 (pow x 2))))>
#<alt (* x (+ 3/4 (* (pow x 2) (- (* 1/160 (pow x 2)) 1/8))))>
#<alt (* x (+ 3/4 (* (pow x 2) (- (* (pow x 2) (+ 1/160 (* -1/6720 (pow x 2)))) 1/8))))>
#<alt (* 3/4 (sin x))>
#<alt (* 3/4 (sin x))>
#<alt (* 3/4 (sin x))>
#<alt (* 3/4 (sin x))>
#<alt (* 3/4 (sin x))>
#<alt (* 3/4 (sin x))>
#<alt (* 3/4 (sin x))>
#<alt (* 3/4 (sin x))>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 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 (pow x 2))>
#<alt (* (pow x 2) (+ 4/3 (* -1/9 (pow x 2))))>
#<alt (* (pow x 2) (+ 4/3 (* (pow x 2) (- (* 1/270 (pow x 2)) 1/9))))>
#<alt (* (pow x 2) (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/270 (* -1/15120 (pow x 2)))) 1/9))))>
#<alt (* 8/3 (- 1 (cos x)))>
#<alt (* 8/3 (- 1 (cos x)))>
#<alt (* 8/3 (- 1 (cos x)))>
#<alt (* 8/3 (- 1 (cos x)))>
#<alt (* 8/3 (- 1 (cos x)))>
#<alt (* 8/3 (- 1 (cos x)))>
#<alt (* 8/3 (- 1 (cos x)))>
#<alt (* 8/3 (- 1 (cos x)))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 1/12 (pow x 2))) x)>
#<alt (/ (+ 1/2 (* (pow x 2) (+ 1/12 (* 7/720 (pow x 2))))) x)>
#<alt (/ (+ 1/2 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 7/720 (* 31/30240 (pow x 2))))))) x)>
#<alt (/ 1/2 (sin x))>
#<alt (/ 1/2 (sin x))>
#<alt (/ 1/2 (sin x))>
#<alt (/ 1/2 (sin x))>
#<alt (/ 1/2 (sin x))>
#<alt (/ 1/2 (sin x))>
#<alt (/ 1/2 (sin x))>
#<alt (/ 1/2 (sin x))>
Calls

45 calls:

TimeVariablePointExpression
2.0ms
x
@0
(* (tan (/ x 2)) 4/3)
1.0ms
x
@inf
(* (tan (/ x 2)) 4/3)
1.0ms
x
@-inf
(* (tan (/ x 2)) 4/3)
0.0ms
x
@-inf
(/ 1/2 (sin x))
0.0ms
x
@inf
(/ 1/2 (sin x))

rewrite369.0ms (3.5%)

Algorithm
1×batch-egg-rewrite
Rules
3746×/-lowering-/.f32
3746×/-lowering-/.f64
3488×*-lowering-*.f32
3488×*-lowering-*.f64
1268×frac-times
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02569
111667
268867
3679066
0810466
Stop Event
1×iter limit
1×node limit
Counts
15 → 1627
Calls
Call 1
Inputs
(* (tan (/ x 2)) 4/3)
(tan (/ x 2))
(/ x 2)
(/ -8/3 (/ -4 x))
(/ -4 x)
(* 1/2 (/ (sin (/ x 2)) 3/8))
(/ (sin (/ x 2)) 3/8)
(sin (/ x 2))
(/ (- 1 (cos x)) (* (sin x) 3/4))
(- 1 (cos x))
(cos x)
(* (sin x) 3/4)
(* (/ (- 1 (cos x)) 3/8) (/ 1/2 (sin x)))
(/ (- 1 (cos x)) 3/8)
(/ 1/2 (sin x))
Outputs
(+.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) (-.f64 (*.f64 (/.f64 #s(literal -4/3 binary64) (sin.f64 x)) (cos.f64 x)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal -3/4 binary64)))))
(+.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal -3/4 binary64))))
(+.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal -3/4 binary64)))))
(+.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))))
(+.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) #s(literal -3/8 binary64))))
(+.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (*.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal -3/4 binary64))) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (*.f64 (/.f64 (cos.f64 x) #s(literal -3/8 binary64)) (/.f64 #s(literal 1/2 binary64) (sin.f64 x))))
(+.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal -3/4 binary64))) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
(+.f64 (*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)))
(-.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))))
(-.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (/.f64 (/.f64 (cos.f64 x) #s(literal 3/8 binary64)) (/.f64 (sin.f64 x) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (sin.f64 x) #s(literal -3/4 binary64))) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (*.f64 #s(literal 3/4 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 (sin.f64 x) (*.f64 #s(literal 3/4 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))))
(-.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 9/16 binary64))) (/.f64 (*.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 9/16 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 16/9 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (*.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) (*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) (/.f64 (pow.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 16/9 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (*.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) (*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))))
(-.f64 (/.f64 (/.f64 #s(literal 16/9 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 4/3 binary64) (sin.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 9/16 binary64))) (*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(fma.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal -3/4 binary64))))
(fma.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (/.f64 (/.f64 (cos.f64 x) #s(literal 3/8 binary64)) (/.f64 (sin.f64 x) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal -3/4 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (neg.f64 (/.f64 (/.f64 (cos.f64 x) #s(literal 3/8 binary64)) (/.f64 (sin.f64 x) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal -3/4 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (neg.f64 (/.f64 (/.f64 (cos.f64 x) #s(literal 3/8 binary64)) (/.f64 (sin.f64 x) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) #s(literal 8/3 binary64) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal -3/4 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) #s(literal 8/3 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 x) #s(literal 3/8 binary64)) (/.f64 (sin.f64 x) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 3/8 binary64)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal -3/4 binary64))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 3/8 binary64)) (neg.f64 (/.f64 (/.f64 (cos.f64 x) #s(literal 3/8 binary64)) (/.f64 (sin.f64 x) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal -3/4 binary64))))
(fma.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 (/.f64 (/.f64 (cos.f64 x) #s(literal 3/8 binary64)) (/.f64 (sin.f64 x) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) #s(literal 1 binary64) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal -3/4 binary64))))
(fma.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) #s(literal 1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 x) #s(literal 3/8 binary64)) (/.f64 (sin.f64 x) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 4/3 binary64) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal -3/4 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 4/3 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 x) #s(literal 3/8 binary64)) (/.f64 (sin.f64 x) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -4/3 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal -3/4 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -4/3 binary64) (sin.f64 x)) (neg.f64 (/.f64 (/.f64 (cos.f64 x) #s(literal 3/8 binary64)) (/.f64 (sin.f64 x) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal -4/3 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal -3/4 binary64))))
(fma.f64 #s(literal -4/3 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x)) (neg.f64 (/.f64 (/.f64 (cos.f64 x) #s(literal 3/8 binary64)) (/.f64 (sin.f64 x) #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) #s(literal -1/2 binary64)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal -3/4 binary64))))
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(*.f64 (/.f64 (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (-.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (/.f64 (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1/2 binary64) (sin.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(pow.f64 (/.f64 (sin.f64 x) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (/.f64 (sin.f64 x) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sin.f64 x) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))

simplify367.0ms (3.4%)

Algorithm
1×egg-herbie
Rules
4610×+-lowering-+.f64
4610×+-lowering-+.f32
3610×*-lowering-*.f32
3610×*-lowering-*.f64
1916×sum4-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02111222
16141084
217491084
346421076
472921076
081571076
Stop Event
1×iter limit
1×node limit
Counts
180 → 180
Calls
Call 1
Inputs
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(/ -4 x)
(/ -4 x)
(/ -4 x)
(/ -4 x)
(/ -4 x)
(/ -4 x)
(/ -4 x)
(/ -4 x)
(/ -4 x)
(/ -4 x)
(/ -4 x)
(/ -4 x)
(* 2/3 x)
(* x (+ 2/3 (* -1/36 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (- (* 1/2880 (pow x 2)) 1/36))))
(* x (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/2880 (* -1/483840 (pow x 2)))) 1/36))))
(* 4/3 (sin (* 1/2 x)))
(* 4/3 (sin (* 1/2 x)))
(* 4/3 (sin (* 1/2 x)))
(* 4/3 (sin (* 1/2 x)))
(* 4/3 (sin (* 1/2 x)))
(* 4/3 (sin (* 1/2 x)))
(* 4/3 (sin (* 1/2 x)))
(* 4/3 (sin (* 1/2 x)))
(* 4/3 x)
(* x (+ 4/3 (* -1/18 (pow x 2))))
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 1/2 x)
(* x (+ 1/2 (* -1/48 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(* 3/4 x)
(* x (+ 3/4 (* -1/8 (pow x 2))))
(* x (+ 3/4 (* (pow x 2) (- (* 1/160 (pow x 2)) 1/8))))
(* x (+ 3/4 (* (pow x 2) (- (* (pow x 2) (+ 1/160 (* -1/6720 (pow x 2)))) 1/8))))
(* 3/4 (sin x))
(* 3/4 (sin x))
(* 3/4 (sin x))
(* 3/4 (sin x))
(* 3/4 (sin x))
(* 3/4 (sin x))
(* 3/4 (sin x))
(* 3/4 (sin x))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 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 (pow x 2))
(* (pow x 2) (+ 4/3 (* -1/9 (pow x 2))))
(* (pow x 2) (+ 4/3 (* (pow x 2) (- (* 1/270 (pow x 2)) 1/9))))
(* (pow x 2) (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/270 (* -1/15120 (pow x 2)))) 1/9))))
(* 8/3 (- 1 (cos x)))
(* 8/3 (- 1 (cos x)))
(* 8/3 (- 1 (cos x)))
(* 8/3 (- 1 (cos x)))
(* 8/3 (- 1 (cos x)))
(* 8/3 (- 1 (cos x)))
(* 8/3 (- 1 (cos x)))
(* 8/3 (- 1 (cos x)))
(/ 1/2 x)
(/ (+ 1/2 (* 1/12 (pow x 2))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/12 (* 7/720 (pow x 2))))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 7/720 (* 31/30240 (pow x 2))))))) x)
(/ 1/2 (sin x))
(/ 1/2 (sin x))
(/ 1/2 (sin x))
(/ 1/2 (sin x))
(/ 1/2 (sin x))
(/ 1/2 (sin x))
(/ 1/2 (sin x))
(/ 1/2 (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))))))))
(* 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)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(/ -4 x)
(/.f64 #s(literal -4 binary64) x)
(/ -4 x)
(/.f64 #s(literal -4 binary64) x)
(/ -4 x)
(/.f64 #s(literal -4 binary64) x)
(/ -4 x)
(/.f64 #s(literal -4 binary64) x)
(/ -4 x)
(/.f64 #s(literal -4 binary64) x)
(/ -4 x)
(/.f64 #s(literal -4 binary64) x)
(/ -4 x)
(/.f64 #s(literal -4 binary64) x)
(/ -4 x)
(/.f64 #s(literal -4 binary64) x)
(/ -4 x)
(/.f64 #s(literal -4 binary64) x)
(/ -4 x)
(/.f64 #s(literal -4 binary64) x)
(/ -4 x)
(/.f64 #s(literal -4 binary64) x)
(/ -4 x)
(/.f64 #s(literal -4 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* -1/36 (pow x 2))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/36 binary64))))
(* x (+ 2/3 (* (pow x 2) (- (* 1/2880 (pow x 2)) 1/36))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x #s(literal 1/2880 binary64)))))))
(* x (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/2880 (* -1/483840 (pow x 2)))) 1/36))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/36 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2880 binary64) (*.f64 (*.f64 x x) #s(literal -1/483840 binary64))))))))
(* 4/3 (sin (* 1/2 x)))
(*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (sin (* 1/2 x)))
(*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (sin (* 1/2 x)))
(*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (sin (* 1/2 x)))
(*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (sin (* 1/2 x)))
(*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (sin (* 1/2 x)))
(*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (sin (* 1/2 x)))
(*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (sin (* 1/2 x)))
(*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 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 (*.f64 x 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 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 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64))
(* 8/3 (sin (* 1/2 x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64))
(* 8/3 (sin (* 1/2 x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64))
(* 8/3 (sin (* 1/2 x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64))
(* 8/3 (sin (* 1/2 x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64))
(* 8/3 (sin (* 1/2 x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64))
(* 8/3 (sin (* 1/2 x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64))
(* 8/3 (sin (* 1/2 x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 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 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 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 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)))
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 binary64))))))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/24 binary64)))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)))))))))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))))))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(* 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 x (*.f64 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 (*.f64 x x) #s(literal -1/6720 binary64))))))))
(* 3/4 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
(* 3/4 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
(* 3/4 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
(* 3/4 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
(* 3/4 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
(* 3/4 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
(* 3/4 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
(* 3/4 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 binary64))))))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 4/3 binary64)))
(* (pow x 2) (+ 4/3 (* -1/9 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x #s(literal -1/9 binary64))))))
(* (pow x 2) (+ 4/3 (* (pow x 2) (- (* 1/270 (pow x 2)) 1/9))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/270 binary64)))))))
(* (pow x 2) (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/270 (* -1/15120 (pow x 2)))) 1/9))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/270 binary64) (*.f64 (*.f64 x x) #s(literal -1/15120 binary64)))))))))
(* 8/3 (- 1 (cos x)))
(+.f64 #s(literal 8/3 binary64) (*.f64 (cos.f64 x) #s(literal -8/3 binary64)))
(* 8/3 (- 1 (cos x)))
(+.f64 #s(literal 8/3 binary64) (*.f64 (cos.f64 x) #s(literal -8/3 binary64)))
(* 8/3 (- 1 (cos x)))
(+.f64 #s(literal 8/3 binary64) (*.f64 (cos.f64 x) #s(literal -8/3 binary64)))
(* 8/3 (- 1 (cos x)))
(+.f64 #s(literal 8/3 binary64) (*.f64 (cos.f64 x) #s(literal -8/3 binary64)))
(* 8/3 (- 1 (cos x)))
(+.f64 #s(literal 8/3 binary64) (*.f64 (cos.f64 x) #s(literal -8/3 binary64)))
(* 8/3 (- 1 (cos x)))
(+.f64 #s(literal 8/3 binary64) (*.f64 (cos.f64 x) #s(literal -8/3 binary64)))
(* 8/3 (- 1 (cos x)))
(+.f64 #s(literal 8/3 binary64) (*.f64 (cos.f64 x) #s(literal -8/3 binary64)))
(* 8/3 (- 1 (cos x)))
(+.f64 #s(literal 8/3 binary64) (*.f64 (cos.f64 x) #s(literal -8/3 binary64)))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/12 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/12 (* 7/720 (pow x 2))))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 7/720 binary64))))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 7/720 (* 31/30240 (pow x 2))))))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/720 binary64) (*.f64 (*.f64 x x) #s(literal 31/30240 binary64))))))) x)
(/ 1/2 (sin x))
(/.f64 #s(literal 1/2 binary64) (sin.f64 x))
(/ 1/2 (sin x))
(/.f64 #s(literal 1/2 binary64) (sin.f64 x))
(/ 1/2 (sin x))
(/.f64 #s(literal 1/2 binary64) (sin.f64 x))
(/ 1/2 (sin x))
(/.f64 #s(literal 1/2 binary64) (sin.f64 x))
(/ 1/2 (sin x))
(/.f64 #s(literal 1/2 binary64) (sin.f64 x))
(/ 1/2 (sin x))
(/.f64 #s(literal 1/2 binary64) (sin.f64 x))
(/ 1/2 (sin x))
(/.f64 #s(literal 1/2 binary64) (sin.f64 x))
(/ 1/2 (sin x))
(/.f64 #s(literal 1/2 binary64) (sin.f64 x))

eval392.0ms (3.7%)

Compiler

Compiled 34854 to 2511 computations (92.8% saved)

prune161.0ms (1.5%)

Pruning

19 alts after pruning (15 fresh and 4 done)

PrunedKeptTotal
New193381941
Fresh5712
Picked235
Done112
Total1941191960
Accuracy
100.0%
Counts
1960 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.9%
(/.f64 (/.f64 x #s(literal -4 binary64)) #s(literal -3/8 binary64))
▶54.4%
(/.f64 (-.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal 4/3 binary64))) (sin.f64 x))
54.5%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))))
✓54.6%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
28.1%
(/.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)))))))) #s(literal 4/3 binary64)) (sin.f64 x))
99.4%
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
▶99.7%
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
▶48.8%
(/.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)))))
▶48.6%
(/.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -8/3 binary64)))
48.6%
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 #s(literal 8/3 binary64) x)))
✓48.6%
(/.f64 #s(literal -8/3 binary64) (/.f64 #s(literal -4 binary64) x))
49.1%
(/.f64 #s(literal -8/3 binary64) (+.f64 (/.f64 #s(literal -4 binary64) x) (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/180 binary64)) #s(literal 1/3 binary64)))))
▶49.1%
(/.f64 #s(literal -8/3 binary64) (+.f64 (/.f64 #s(literal -4 binary64) x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/7560 binary64)))))))))
49.2%
(/.f64 #s(literal -8/3 binary64) (+.f64 (/.f64 #s(literal -4 binary64) x) (*.f64 x #s(literal 1/3 binary64))))
99.3%
(*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))))
✓99.3%
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
99.0%
(*.f64 (sin.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3/4 binary64)))
✓48.6%
(*.f64 #s(literal 2/3 binary64) x)
Compiler

Compiled 395 to 292 computations (26.1% saved)

simplify136.0ms (1.3%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(cos.f64 x)
✓cost-diff0
(*.f64 (cos.f64 x) #s(literal 4/3 binary64))
✓cost-diff0
(-.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal 4/3 binary64)))
✓cost-diff6528
(/.f64 (-.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal 4/3 binary64))) (sin.f64 x))
✓cost-diff0
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/7560 binary64)))))))
✓cost-diff0
(/.f64 #s(literal -4 binary64) x)
✓cost-diff0
(+.f64 (/.f64 #s(literal -4 binary64) x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/7560 binary64))))))))
✓cost-diff0
(/.f64 #s(literal -8/3 binary64) (+.f64 (/.f64 #s(literal -4 binary64) x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/7560 binary64)))))))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff128
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -8/3 binary64))
✓cost-diff256
(/.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -8/3 binary64)))
✓cost-diff0
(/.f64 #s(literal 3/2 binary64) x)
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x))
✓cost-diff0
(/.f64 x #s(literal 2 binary64))
✓cost-diff0
(tan.f64 (/.f64 x #s(literal 2 binary64)))
✓cost-diff0
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
Rules
2302×fnmadd-define
1600×sum3-define
1552×sum5-define
1542×fma-define
1288×fmm-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035158
178144
2179143
3366143
4829143
51181143
61579143
72466143
83788143
96241143
08157143
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
(/ 1 (/ 3/2 x))
1
(/ 3/2 x)
3/2
x
(/ -1/4 (/ (/ 1 x) -8/3))
-1/4
(/ (/ 1 x) -8/3)
(/ 1 x)
1
x
-8/3
(/ -8/3 (+ (/ -4 x) (* x (+ 1/3 (* x (* x (+ 1/180 (* (* x x) 1/7560))))))))
-8/3
(+ (/ -4 x) (* x (+ 1/3 (* x (* x (+ 1/180 (* (* x x) 1/7560)))))))
(/ -4 x)
-4
x
(* x (+ 1/3 (* x (* x (+ 1/180 (* (* x x) 1/7560))))))
(+ 1/3 (* x (* x (+ 1/180 (* (* x x) 1/7560)))))
1/3
(* x (* x (+ 1/180 (* (* x x) 1/7560))))
(* x (+ 1/180 (* (* x x) 1/7560)))
(+ 1/180 (* (* x x) 1/7560))
1/180
(* (* x x) 1/7560)
(* x x)
1/7560
(/ (- 4/3 (* (cos x) 4/3)) (sin x))
(- 4/3 (* (cos x) 4/3))
4/3
(* (cos x) 4/3)
(cos x)
x
(sin x)
Outputs
(/ (tan (/ x 2)) 3/4)
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
(tan (/ x 2))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/ x 2)
(/.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
3/4
#s(literal 3/4 binary64)
(/ 1 (/ 3/2 x))
(*.f64 x #s(literal 2/3 binary64))
1
#s(literal 1 binary64)
(/ 3/2 x)
(/.f64 #s(literal 3/2 binary64) x)
3/2
#s(literal 3/2 binary64)
x
(/ -1/4 (/ (/ 1 x) -8/3))
(*.f64 x #s(literal 2/3 binary64))
-1/4
#s(literal -1/4 binary64)
(/ (/ 1 x) -8/3)
(/.f64 #s(literal -3/8 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
-8/3
#s(literal -8/3 binary64)
(/ -8/3 (+ (/ -4 x) (* x (+ 1/3 (* x (* x (+ 1/180 (* (* x x) 1/7560))))))))
(/.f64 #s(literal -8/3 binary64) (+.f64 (/.f64 #s(literal -4 binary64) x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/7560 binary64))))))))
-8/3
#s(literal -8/3 binary64)
(+ (/ -4 x) (* x (+ 1/3 (* x (* x (+ 1/180 (* (* x x) 1/7560)))))))
(+.f64 (/.f64 #s(literal -4 binary64) x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/7560 binary64)))))))
(/ -4 x)
(/.f64 #s(literal -4 binary64) x)
-4
#s(literal -4 binary64)
x
(* x (+ 1/3 (* x (* x (+ 1/180 (* (* x x) 1/7560))))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/7560 binary64))))))
(+ 1/3 (* x (* x (+ 1/180 (* (* x x) 1/7560)))))
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/7560 binary64)))))
1/3
#s(literal 1/3 binary64)
(* x (* x (+ 1/180 (* (* x x) 1/7560))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/7560 binary64))))
(* x (+ 1/180 (* (* x x) 1/7560)))
(*.f64 x (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/7560 binary64))))
(+ 1/180 (* (* x x) 1/7560))
(+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/7560 binary64)))
1/180
#s(literal 1/180 binary64)
(* (* x x) 1/7560)
(*.f64 (*.f64 x x) #s(literal 1/7560 binary64))
(* x x)
(*.f64 x x)
1/7560
#s(literal 1/7560 binary64)
(/ (- 4/3 (* (cos x) 4/3)) (sin x))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
(- 4/3 (* (cos x) 4/3))
(+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64)))
4/3
#s(literal 4/3 binary64)
(* (cos x) 4/3)
(/.f64 (cos.f64 x) #s(literal 3/4 binary64))
(cos x)
(cos.f64 x)
x
(sin x)
(sin.f64 x)

localize434.0ms (4.1%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cos.f64 x)
✓accuracy99.7%
(*.f64 (cos.f64 x) #s(literal 4/3 binary64))
✓accuracy80.0%
(/.f64 (-.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal 4/3 binary64))) (sin.f64 x))
✓accuracy75.0%
(-.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal 4/3 binary64)))
✓accuracy99.7%
(*.f64 x (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/7560 binary64))))
✓accuracy99.6%
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/7560 binary64)))))))
✓accuracy99.6%
(/.f64 #s(literal -8/3 binary64) (+.f64 (/.f64 #s(literal -4 binary64) x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/7560 binary64)))))))))
✓accuracy99.1%
(*.f64 (*.f64 x x) #s(literal 1/7560 binary64))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy99.6%
(/.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -8/3 binary64)))
✓accuracy99.4%
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -8/3 binary64))
✓accuracy100.0%
(/.f64 #s(literal 3/2 binary64) x)
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x))
✓accuracy100.0%
(/.f64 x #s(literal 2 binary64))
✓accuracy100.0%
(tan.f64 (/.f64 x #s(literal 2 binary64)))
✓accuracy99.7%
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
Results
133.0ms77×2valid
108.0ms28×1valid
87.0ms135×0valid
27.0ms16×3valid
Compiler

Compiled 185 to 36 computations (80.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 281.0ms
ival-add: 91.0ms (32.4% of total)
...c/correct-round.rkt:119:19: 52.0ms (18.5% of total)
ival-cos: 48.0ms (17.1% of total)
ival-div: 39.0ms (13.9% of total)
ival-mult: 17.0ms (6.1% of total)
backward-pass: 15.0ms (5.3% of total)
ival-tan: 7.0ms (2.5% of total)
ival-sin: 7.0ms (2.5% of total)
ival-sub: 3.0ms (1.1% of total)
const: 2.0ms (0.7% of total)

series16.0ms (0.1%)

Counts
18 → 216
Calls
Call 1
Inputs
#<alt (/ (tan (/ x 2)) 3/4)>
#<alt (tan (/ x 2))>
#<alt (/ x 2)>
#<alt (/ 1 (/ 3/2 x))>
#<alt (/ 3/2 x)>
#<alt (/ -1/4 (/ (/ 1 x) -8/3))>
#<alt (/ (/ 1 x) -8/3)>
#<alt (/ 1 x)>
#<alt (/ -8/3 (+ (/ -4 x) (* x (+ 1/3 (* x (* x (+ 1/180 (* (* x x) 1/7560))))))))>
#<alt (+ (/ -4 x) (* x (+ 1/3 (* x (* x (+ 1/180 (* (* x x) 1/7560)))))))>
#<alt (/ -4 x)>
#<alt (* x (+ 1/3 (* x (* x (+ 1/180 (* (* x x) 1/7560))))))>
#<alt (/ (- 4/3 (* (cos x) 4/3)) (sin x))>
#<alt (- 4/3 (* (cos x) 4/3))>
#<alt (* (cos x) 4/3)>
#<alt (cos x)>
#<alt (* (* x x) 1/7560)>
#<alt (* x (+ 1/180 (* (* x x) 1/7560)))>
Outputs
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (/ 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 (* 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 (/ -3/8 x)>
#<alt (/ -3/8 x)>
#<alt (/ -3/8 x)>
#<alt (/ -3/8 x)>
#<alt (/ -3/8 x)>
#<alt (/ -3/8 x)>
#<alt (/ -3/8 x)>
#<alt (/ -3/8 x)>
#<alt (/ -3/8 x)>
#<alt (/ -3/8 x)>
#<alt (/ -3/8 x)>
#<alt (/ -3/8 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (/ -20160 (pow x 5))>
#<alt (/ (- (* 846720 (/ 1 (pow x 2))) 20160) (pow x 5))>
#<alt (/ (- (+ (* 846720 (/ 1 (pow x 2))) (/ 15240960 (pow x 4))) 20160) (pow x 5))>
#<alt (/ (- (+ (* 846720 (/ 1 (pow x 2))) (/ 15240960 (pow x 4))) (+ 20160 (* 3383493120 (/ 1 (pow x 6))))) (pow x 5))>
#<alt (/ -20160 (pow x 5))>
#<alt (* -1 (/ (- 20160 (* 846720 (/ 1 (pow x 2)))) (pow x 5)))>
#<alt (* -1 (/ (+ 20160 (* -1 (/ (+ 846720 (* 15240960 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 5)))>
#<alt (* -1 (/ (- (+ 20160 (* 3383493120 (/ 1 (pow x 6)))) (+ (* 846720 (/ 1 (pow x 2))) (/ 15240960 (pow x 4)))) (pow x 5)))>
#<alt (/ -4 x)>
#<alt (/ (- (* 1/3 (pow x 2)) 4) x)>
#<alt (/ (- (* (pow x 2) (+ 1/3 (* 1/180 (pow x 2)))) 4) x)>
#<alt (/ (- (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/180 (* 1/7560 (pow x 2)))))) 4) x)>
#<alt (* 1/7560 (pow x 5))>
#<alt (* (pow x 5) (+ 1/7560 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/7560 (+ (/ 1/3 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (- (+ 1/7560 (+ (/ 1/3 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))) (* 4 (/ 1 (pow x 6)))))>
#<alt (* 1/7560 (pow x 5))>
#<alt (* (pow x 5) (+ 1/7560 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/180 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7560)))>
#<alt (* -1 (* (pow x 5) (- (* 4 (/ 1 (pow x 6))) (+ 1/7560 (+ (/ 1/3 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))))>
#<alt (/ -4 x)>
#<alt (/ -4 x)>
#<alt (/ -4 x)>
#<alt (/ -4 x)>
#<alt (/ -4 x)>
#<alt (/ -4 x)>
#<alt (/ -4 x)>
#<alt (/ -4 x)>
#<alt (/ -4 x)>
#<alt (/ -4 x)>
#<alt (/ -4 x)>
#<alt (/ -4 x)>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/180 (pow x 2))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/180 (* 1/7560 (pow x 2))))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/180 (* 1/7560 (pow x 2))))))>
#<alt (* 1/7560 (pow x 5))>
#<alt (* (pow x 5) (+ 1/7560 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/7560 (+ (/ 1/3 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 1/7560 (+ (/ 1/3 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))>
#<alt (* 1/7560 (pow x 5))>
#<alt (* (pow x 5) (+ 1/7560 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/180 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7560)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/180 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7560)))>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (/ (- 4/3 (* 4/3 (cos x))) (sin x))>
#<alt (/ (- 4/3 (* 4/3 (cos x))) (sin x))>
#<alt (/ (- 4/3 (* 4/3 (cos x))) (sin x))>
#<alt (/ (- 4/3 (* 4/3 (cos x))) (sin x))>
#<alt (/ (- 4/3 (* 4/3 (cos x))) (sin x))>
#<alt (/ (- 4/3 (* 4/3 (cos x))) (sin x))>
#<alt (/ (- 4/3 (* 4/3 (cos x))) (sin x))>
#<alt (/ (- 4/3 (* 4/3 (cos x))) (sin x))>
#<alt (* 2/3 (pow x 2))>
#<alt (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))>
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))>
#<alt (- 4/3 (* 4/3 (cos x)))>
#<alt (- 4/3 (* 4/3 (cos x)))>
#<alt (- 4/3 (* 4/3 (cos x)))>
#<alt (- 4/3 (* 4/3 (cos x)))>
#<alt (- 4/3 (* 4/3 (cos x)))>
#<alt (- 4/3 (* 4/3 (cos x)))>
#<alt (- 4/3 (* 4/3 (cos x)))>
#<alt (- 4/3 (* 4/3 (cos x)))>
#<alt 4/3>
#<alt (+ 4/3 (* -2/3 (pow x 2)))>
#<alt (+ 4/3 (* (pow x 2) (- (* 1/18 (pow x 2)) 2/3)))>
#<alt (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/18 (* -1/540 (pow x 2)))) 2/3)))>
#<alt (* 4/3 (cos x))>
#<alt (* 4/3 (cos x))>
#<alt (* 4/3 (cos x))>
#<alt (* 4/3 (cos x))>
#<alt (* 4/3 (cos x))>
#<alt (* 4/3 (cos x))>
#<alt (* 4/3 (cos x))>
#<alt (* 4/3 (cos x))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (* 1/7560 (pow x 2))>
#<alt (* 1/7560 (pow x 2))>
#<alt (* 1/7560 (pow x 2))>
#<alt (* 1/7560 (pow x 2))>
#<alt (* 1/7560 (pow x 2))>
#<alt (* 1/7560 (pow x 2))>
#<alt (* 1/7560 (pow x 2))>
#<alt (* 1/7560 (pow x 2))>
#<alt (* 1/7560 (pow x 2))>
#<alt (* 1/7560 (pow x 2))>
#<alt (* 1/7560 (pow x 2))>
#<alt (* 1/7560 (pow x 2))>
#<alt (* 1/180 x)>
#<alt (* x (+ 1/180 (* 1/7560 (pow x 2))))>
#<alt (* x (+ 1/180 (* 1/7560 (pow x 2))))>
#<alt (* x (+ 1/180 (* 1/7560 (pow x 2))))>
#<alt (* 1/7560 (pow x 3))>
#<alt (* (pow x 3) (+ 1/7560 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/7560 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/7560 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/7560 (pow x 3))>
#<alt (* (pow x 3) (+ 1/7560 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/7560 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/7560 (* 1/180 (/ 1 (pow x 2)))))>
Calls

54 calls:

TimeVariablePointExpression
6.0ms
x
@-inf
(/ (- 4/3 (* (cos x) 4/3)) (sin x))
1.0ms
x
@inf
(/ (- 4/3 (* (cos x) 4/3)) (sin x))
1.0ms
x
@-inf
(/ -8/3 (+ (/ -4 x) (* x (+ 1/3 (* x (* x (+ 1/180 (* (* x x) 1/7560))))))))
1.0ms
x
@inf
(/ -8/3 (+ (/ -4 x) (* x (+ 1/3 (* x (* x (+ 1/180 (* (* x x) 1/7560))))))))
0.0ms
x
@inf
(* x (+ 1/180 (* (* x x) 1/7560)))

rewrite468.0ms (4.4%)

Algorithm
1×batch-egg-rewrite
Rules
3510×/-lowering-/.f32
3510×/-lowering-/.f64
3346×*-lowering-*.f32
3346×*-lowering-*.f64
1866×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035113
1209103
21441101
08296101
Stop Event
1×iter limit
1×node limit
Counts
18 → 555
Calls
Call 1
Inputs
(/ (tan (/ x 2)) 3/4)
(tan (/ x 2))
(/ x 2)
(/ 1 (/ 3/2 x))
(/ 3/2 x)
(/ -1/4 (/ (/ 1 x) -8/3))
(/ (/ 1 x) -8/3)
(/ 1 x)
(/ -8/3 (+ (/ -4 x) (* x (+ 1/3 (* x (* x (+ 1/180 (* (* x x) 1/7560))))))))
(+ (/ -4 x) (* x (+ 1/3 (* x (* x (+ 1/180 (* (* x x) 1/7560)))))))
(/ -4 x)
(* x (+ 1/3 (* x (* x (+ 1/180 (* (* x x) 1/7560))))))
(/ (- 4/3 (* (cos x) 4/3)) (sin x))
(- 4/3 (* (cos x) 4/3))
(* (cos x) 4/3)
(cos x)
(* (* x x) 1/7560)
(* x (+ 1/180 (* (* x x) 1/7560)))
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 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3/4 binary64) (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 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))))
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 3/4 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 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 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (neg.f64 (*.f64 #s(literal 3/4 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64)) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)))
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(*.f64 (*.f64 (+.f64 #s(literal 1/5832000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/432081216000 binary64)))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/7560 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/7560 binary64)) #s(literal -1/180 binary64))))))
(*.f64 (*.f64 (-.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/57153600 binary64))) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/7560 binary64)))))

simplify462.0ms (4.3%)

Algorithm
1×egg-herbie
Rules
3982×+-lowering-+.f64
3982×+-lowering-+.f32
3398×*-lowering-*.f32
3398×*-lowering-*.f64
1558×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01911463
15741301
216891278
346131274
083281274
Stop Event
1×iter limit
1×node limit
Counts
216 → 216
Calls
Call 1
Inputs
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(/ 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)
(* 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)
(/ -3/8 x)
(/ -3/8 x)
(/ -3/8 x)
(/ -3/8 x)
(/ -3/8 x)
(/ -3/8 x)
(/ -3/8 x)
(/ -3/8 x)
(/ -3/8 x)
(/ -3/8 x)
(/ -3/8 x)
(/ -3/8 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(/ -20160 (pow x 5))
(/ (- (* 846720 (/ 1 (pow x 2))) 20160) (pow x 5))
(/ (- (+ (* 846720 (/ 1 (pow x 2))) (/ 15240960 (pow x 4))) 20160) (pow x 5))
(/ (- (+ (* 846720 (/ 1 (pow x 2))) (/ 15240960 (pow x 4))) (+ 20160 (* 3383493120 (/ 1 (pow x 6))))) (pow x 5))
(/ -20160 (pow x 5))
(* -1 (/ (- 20160 (* 846720 (/ 1 (pow x 2)))) (pow x 5)))
(* -1 (/ (+ 20160 (* -1 (/ (+ 846720 (* 15240960 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 5)))
(* -1 (/ (- (+ 20160 (* 3383493120 (/ 1 (pow x 6)))) (+ (* 846720 (/ 1 (pow x 2))) (/ 15240960 (pow x 4)))) (pow x 5)))
(/ -4 x)
(/ (- (* 1/3 (pow x 2)) 4) x)
(/ (- (* (pow x 2) (+ 1/3 (* 1/180 (pow x 2)))) 4) x)
(/ (- (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/180 (* 1/7560 (pow x 2)))))) 4) x)
(* 1/7560 (pow x 5))
(* (pow x 5) (+ 1/7560 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/7560 (+ (/ 1/3 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(* (pow x 5) (- (+ 1/7560 (+ (/ 1/3 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))) (* 4 (/ 1 (pow x 6)))))
(* 1/7560 (pow x 5))
(* (pow x 5) (+ 1/7560 (* 1/180 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/180 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7560)))
(* -1 (* (pow x 5) (- (* 4 (/ 1 (pow x 6))) (+ 1/7560 (+ (/ 1/3 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))))
(/ -4 x)
(/ -4 x)
(/ -4 x)
(/ -4 x)
(/ -4 x)
(/ -4 x)
(/ -4 x)
(/ -4 x)
(/ -4 x)
(/ -4 x)
(/ -4 x)
(/ -4 x)
(* 1/3 x)
(* x (+ 1/3 (* 1/180 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/180 (* 1/7560 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/180 (* 1/7560 (pow x 2))))))
(* 1/7560 (pow x 5))
(* (pow x 5) (+ 1/7560 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/7560 (+ (/ 1/3 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/7560 (+ (/ 1/3 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(* 1/7560 (pow x 5))
(* (pow x 5) (+ 1/7560 (* 1/180 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/180 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7560)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/180 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7560)))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(/ (- 4/3 (* 4/3 (cos x))) (sin x))
(/ (- 4/3 (* 4/3 (cos x))) (sin x))
(/ (- 4/3 (* 4/3 (cos x))) (sin x))
(/ (- 4/3 (* 4/3 (cos x))) (sin x))
(/ (- 4/3 (* 4/3 (cos x))) (sin x))
(/ (- 4/3 (* 4/3 (cos x))) (sin x))
(/ (- 4/3 (* 4/3 (cos x))) (sin x))
(/ (- 4/3 (* 4/3 (cos x))) (sin x))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(- 4/3 (* 4/3 (cos x)))
(- 4/3 (* 4/3 (cos x)))
(- 4/3 (* 4/3 (cos x)))
(- 4/3 (* 4/3 (cos x)))
(- 4/3 (* 4/3 (cos x)))
(- 4/3 (* 4/3 (cos x)))
(- 4/3 (* 4/3 (cos x)))
(- 4/3 (* 4/3 (cos x)))
4/3
(+ 4/3 (* -2/3 (pow x 2)))
(+ 4/3 (* (pow x 2) (- (* 1/18 (pow x 2)) 2/3)))
(+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/18 (* -1/540 (pow x 2)))) 2/3)))
(* 4/3 (cos x))
(* 4/3 (cos x))
(* 4/3 (cos x))
(* 4/3 (cos x))
(* 4/3 (cos x))
(* 4/3 (cos x))
(* 4/3 (cos x))
(* 4/3 (cos x))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(* 1/7560 (pow x 2))
(* 1/7560 (pow x 2))
(* 1/7560 (pow x 2))
(* 1/7560 (pow x 2))
(* 1/7560 (pow x 2))
(* 1/7560 (pow x 2))
(* 1/7560 (pow x 2))
(* 1/7560 (pow x 2))
(* 1/7560 (pow x 2))
(* 1/7560 (pow x 2))
(* 1/7560 (pow x 2))
(* 1/7560 (pow x 2))
(* 1/180 x)
(* x (+ 1/180 (* 1/7560 (pow x 2))))
(* x (+ 1/180 (* 1/7560 (pow x 2))))
(* x (+ 1/180 (* 1/7560 (pow x 2))))
(* 1/7560 (pow x 3))
(* (pow x 3) (+ 1/7560 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7560 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7560 (* 1/180 (/ 1 (pow x 2)))))
(* 1/7560 (pow x 3))
(* (pow x 3) (+ 1/7560 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7560 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7560 (* 1/180 (/ 1 (pow x 2)))))
Outputs
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/18 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 binary64)))))))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.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 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/240 binary64))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))))))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(/ 3/2 x)
(/.f64 #s(literal 3/2 binary64) x)
(/ 3/2 x)
(/.f64 #s(literal 3/2 binary64) x)
(/ 3/2 x)
(/.f64 #s(literal 3/2 binary64) x)
(/ 3/2 x)
(/.f64 #s(literal 3/2 binary64) x)
(/ 3/2 x)
(/.f64 #s(literal 3/2 binary64) x)
(/ 3/2 x)
(/.f64 #s(literal 3/2 binary64) x)
(/ 3/2 x)
(/.f64 #s(literal 3/2 binary64) x)
(/ 3/2 x)
(/.f64 #s(literal 3/2 binary64) x)
(/ 3/2 x)
(/.f64 #s(literal 3/2 binary64) x)
(/ 3/2 x)
(/.f64 #s(literal 3/2 binary64) x)
(/ 3/2 x)
(/.f64 #s(literal 3/2 binary64) x)
(/ 3/2 x)
(/.f64 #s(literal 3/2 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(/ -3/8 x)
(/.f64 #s(literal -3/8 binary64) x)
(/ -3/8 x)
(/.f64 #s(literal -3/8 binary64) x)
(/ -3/8 x)
(/.f64 #s(literal -3/8 binary64) x)
(/ -3/8 x)
(/.f64 #s(literal -3/8 binary64) x)
(/ -3/8 x)
(/.f64 #s(literal -3/8 binary64) x)
(/ -3/8 x)
(/.f64 #s(literal -3/8 binary64) x)
(/ -3/8 x)
(/.f64 #s(literal -3/8 binary64) x)
(/ -3/8 x)
(/.f64 #s(literal -3/8 binary64) x)
(/ -3/8 x)
(/.f64 #s(literal -3/8 binary64) x)
(/ -3/8 x)
(/.f64 #s(literal -3/8 binary64) x)
(/ -3/8 x)
(/.f64 #s(literal -3/8 binary64) x)
(/ -3/8 x)
(/.f64 #s(literal -3/8 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/18 binary64) (*.f64 x (*.f64 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)))))))))
(/ -20160 (pow x 5))
(/.f64 #s(literal -20160 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(/ (- (* 846720 (/ 1 (pow x 2))) 20160) (pow x 5))
(/.f64 (+.f64 #s(literal -20160 binary64) (/.f64 #s(literal 846720 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(/ (- (+ (* 846720 (/ 1 (pow x 2))) (/ 15240960 (pow x 4))) 20160) (pow x 5))
(/.f64 (+.f64 (+.f64 #s(literal -20160 binary64) (/.f64 #s(literal 846720 binary64) (*.f64 x x))) (/.f64 #s(literal 15240960 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(/ (- (+ (* 846720 (/ 1 (pow x 2))) (/ 15240960 (pow x 4))) (+ 20160 (* 3383493120 (/ 1 (pow x 6))))) (pow x 5))
(/.f64 (+.f64 (+.f64 (+.f64 #s(literal -20160 binary64) (/.f64 #s(literal 846720 binary64) (*.f64 x x))) (/.f64 #s(literal 15240960 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -3383493120 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(/ -20160 (pow x 5))
(/.f64 #s(literal -20160 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(* -1 (/ (- 20160 (* 846720 (/ 1 (pow x 2)))) (pow x 5)))
(/.f64 (+.f64 #s(literal -20160 binary64) (/.f64 #s(literal 846720 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(* -1 (/ (+ 20160 (* -1 (/ (+ 846720 (* 15240960 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 5)))
(/.f64 (-.f64 #s(literal -20160 binary64) (/.f64 (-.f64 #s(literal -846720 binary64) (/.f64 #s(literal 15240960 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(* -1 (/ (- (+ 20160 (* 3383493120 (/ 1 (pow x 6)))) (+ (* 846720 (/ 1 (pow x 2))) (/ 15240960 (pow x 4)))) (pow x 5)))
(/.f64 (+.f64 (+.f64 (+.f64 #s(literal -20160 binary64) (/.f64 #s(literal 846720 binary64) (*.f64 x x))) (/.f64 #s(literal 15240960 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -3383493120 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(/ -4 x)
(/.f64 #s(literal -4 binary64) x)
(/ (- (* 1/3 (pow x 2)) 4) x)
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -4 binary64) x))
(/ (- (* (pow x 2) (+ 1/3 (* 1/180 (pow x 2)))) 4) x)
(+.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/180 binary64))) #s(literal 1/3 binary64)) (*.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -4 binary64) x))
(/ (- (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/180 (* 1/7560 (pow x 2)))))) 4) x)
(+.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/7560 binary64)))))) (*.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -4 binary64) x))
(* 1/7560 (pow x 5))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) #s(literal 1/7560 binary64))
(* (pow x 5) (+ 1/7560 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/7560 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))))
(* (pow x 5) (+ 1/7560 (+ (/ 1/3 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) (+.f64 #s(literal 1/7560 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 5) (- (+ 1/7560 (+ (/ 1/3 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))) (* 4 (/ 1 (pow x 6)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 (+.f64 #s(literal 1/7560 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -4 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) x)))))
(* 1/7560 (pow x 5))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) #s(literal 1/7560 binary64))
(* (pow x 5) (+ 1/7560 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/7560 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/180 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7560)))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/7560 binary64) (/.f64 (+.f64 #s(literal 1/180 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* 4 (/ 1 (pow x 6))) (+ 1/7560 (+ (/ 1/3 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 (+.f64 #s(literal 1/7560 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -4 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) x)))))
(/ -4 x)
(/.f64 #s(literal -4 binary64) x)
(/ -4 x)
(/.f64 #s(literal -4 binary64) x)
(/ -4 x)
(/.f64 #s(literal -4 binary64) x)
(/ -4 x)
(/.f64 #s(literal -4 binary64) x)
(/ -4 x)
(/.f64 #s(literal -4 binary64) x)
(/ -4 x)
(/.f64 #s(literal -4 binary64) x)
(/ -4 x)
(/.f64 #s(literal -4 binary64) x)
(/ -4 x)
(/.f64 #s(literal -4 binary64) x)
(/ -4 x)
(/.f64 #s(literal -4 binary64) x)
(/ -4 x)
(/.f64 #s(literal -4 binary64) x)
(/ -4 x)
(/.f64 #s(literal -4 binary64) x)
(/ -4 x)
(/.f64 #s(literal -4 binary64) x)
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (+ 1/3 (* 1/180 (pow x 2))))
(*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/180 binary64))) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* (pow x 2) (+ 1/180 (* 1/7560 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/7560 binary64)))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/180 (* 1/7560 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/7560 binary64)))))))
(* 1/7560 (pow x 5))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) #s(literal 1/7560 binary64))
(* (pow x 5) (+ 1/7560 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/7560 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))))
(* (pow x 5) (+ 1/7560 (+ (/ 1/3 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) (+.f64 #s(literal 1/7560 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 5) (+ 1/7560 (+ (/ 1/3 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) (+.f64 #s(literal 1/7560 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* 1/7560 (pow x 5))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) #s(literal 1/7560 binary64))
(* (pow x 5) (+ 1/7560 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/7560 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/180 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7560)))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/7560 binary64) (/.f64 (+.f64 #s(literal 1/180 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/180 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7560)))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/7560 binary64) (/.f64 (+.f64 #s(literal 1/180 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x 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 (* 1/180 (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 1/180 binary64))))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 binary64)))))))))
(/ (- 4/3 (* 4/3 (cos x))) (sin x))
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64))) (sin.f64 x))
(/ (- 4/3 (* 4/3 (cos x))) (sin x))
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64))) (sin.f64 x))
(/ (- 4/3 (* 4/3 (cos x))) (sin x))
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64))) (sin.f64 x))
(/ (- 4/3 (* 4/3 (cos x))) (sin x))
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64))) (sin.f64 x))
(/ (- 4/3 (* 4/3 (cos x))) (sin x))
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64))) (sin.f64 x))
(/ (- 4/3 (* 4/3 (cos x))) (sin x))
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64))) (sin.f64 x))
(/ (- 4/3 (* 4/3 (cos x))) (sin x))
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64))) (sin.f64 x))
(/ (- 4/3 (* 4/3 (cos x))) (sin x))
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64))) (sin.f64 x))
(* 2/3 (pow x 2))
(*.f64 #s(literal 2/3 binary64) (*.f64 x x))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal -1/18 binary64)))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 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 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/540 binary64) (*.f64 (*.f64 x x) #s(literal -1/30240 binary64))))))))
(- 4/3 (* 4/3 (cos x)))
(+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64)))
(- 4/3 (* 4/3 (cos x)))
(+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64)))
(- 4/3 (* 4/3 (cos x)))
(+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64)))
(- 4/3 (* 4/3 (cos x)))
(+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64)))
(- 4/3 (* 4/3 (cos x)))
(+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64)))
(- 4/3 (* 4/3 (cos x)))
(+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64)))
(- 4/3 (* 4/3 (cos x)))
(+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64)))
(- 4/3 (* 4/3 (cos x)))
(+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64)))
4/3
#s(literal 4/3 binary64)
(+ 4/3 (* -2/3 (pow x 2)))
(+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) #s(literal -2/3 binary64)))
(+ 4/3 (* (pow x 2) (- (* 1/18 (pow x 2)) 2/3)))
(+.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/18 binary64))) #s(literal -2/3 binary64)))))
(+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/18 (* -1/540 (pow x 2)))) 2/3)))
(+.f64 #s(literal 4/3 binary64) (*.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)))))))
(* 4/3 (cos x))
(*.f64 #s(literal 4/3 binary64) (cos.f64 x))
(* 4/3 (cos x))
(*.f64 #s(literal 4/3 binary64) (cos.f64 x))
(* 4/3 (cos x))
(*.f64 #s(literal 4/3 binary64) (cos.f64 x))
(* 4/3 (cos x))
(*.f64 #s(literal 4/3 binary64) (cos.f64 x))
(* 4/3 (cos x))
(*.f64 #s(literal 4/3 binary64) (cos.f64 x))
(* 4/3 (cos x))
(*.f64 #s(literal 4/3 binary64) (cos.f64 x))
(* 4/3 (cos x))
(*.f64 #s(literal 4/3 binary64) (cos.f64 x))
(* 4/3 (cos x))
(*.f64 #s(literal 4/3 binary64) (cos.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))))))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(* 1/7560 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/7560 binary64)))
(* 1/7560 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/7560 binary64)))
(* 1/7560 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/7560 binary64)))
(* 1/7560 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/7560 binary64)))
(* 1/7560 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/7560 binary64)))
(* 1/7560 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/7560 binary64)))
(* 1/7560 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/7560 binary64)))
(* 1/7560 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/7560 binary64)))
(* 1/7560 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/7560 binary64)))
(* 1/7560 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/7560 binary64)))
(* 1/7560 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/7560 binary64)))
(* 1/7560 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/7560 binary64)))
(* 1/180 x)
(*.f64 x #s(literal 1/180 binary64))
(* x (+ 1/180 (* 1/7560 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/7560 binary64)))))
(* x (+ 1/180 (* 1/7560 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/7560 binary64)))))
(* x (+ 1/180 (* 1/7560 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/7560 binary64)))))
(* 1/7560 (pow x 3))
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/7560 binary64)))
(* (pow x 3) (+ 1/7560 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/7560 binary64)))))
(* (pow x 3) (+ 1/7560 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/7560 binary64)))))
(* (pow x 3) (+ 1/7560 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/7560 binary64)))))
(* 1/7560 (pow x 3))
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/7560 binary64)))
(* (pow x 3) (+ 1/7560 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/7560 binary64)))))
(* (pow x 3) (+ 1/7560 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/7560 binary64)))))
(* (pow x 3) (+ 1/7560 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/7560 binary64)))))

eval98.0ms (0.9%)

Compiler

Compiled 20378 to 2042 computations (90% saved)

prune96.0ms (0.9%)

Pruning

22 alts after pruning (13 fresh and 9 done)

PrunedKeptTotal
New7647771
Fresh4610
Picked055
Done044
Total76822790
Accuracy
100.0%
Counts
790 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓54.4%
(/.f64 (-.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal 4/3 binary64))) (sin.f64 x))
54.5%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))))
✓54.6%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
99.4%
(/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64)) (cos.f64 (/.f64 x #s(literal 2 binary64))))
48.7%
(/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))))))) #s(literal 3/4 binary64))
✓99.7%
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
48.9%
(/.f64 x #s(literal 3/2 binary64))
✓48.8%
(/.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)))))
48.7%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))
✓48.6%
(/.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -8/3 binary64)))
48.6%
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 #s(literal 8/3 binary64) x)))
✓48.6%
(/.f64 #s(literal -8/3 binary64) (/.f64 #s(literal -4 binary64) x))
49.1%
(/.f64 #s(literal -8/3 binary64) (+.f64 (/.f64 #s(literal -4 binary64) x) (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/180 binary64)) #s(literal 1/3 binary64)))))
✓49.1%
(/.f64 #s(literal -8/3 binary64) (+.f64 (/.f64 #s(literal -4 binary64) x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/7560 binary64)))))))))
49.2%
(/.f64 #s(literal -8/3 binary64) (+.f64 (/.f64 #s(literal -4 binary64) x) (*.f64 x #s(literal 1/3 binary64))))
6.9%
(/.f64 #s(literal -8/3 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 (+.f64 #s(literal 1/7560 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -4 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) x))))))
99.4%
(*.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)))))
48.6%
(*.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 8/3 binary64))
✓99.3%
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
99.0%
(*.f64 (sin.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3/4 binary64)))
✓48.6%
(*.f64 #s(literal 2/3 binary64) x)
Compiler

Compiled 1048 to 439 computations (58.1% saved)

regimes49.0ms (0.5%)

Counts
62 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2/3 binary64) x)
(/.f64 x #s(literal 3/2 binary64))
(/.f64 #s(literal -8/3 binary64) (/.f64 #s(literal -4 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x))
(/.f64 (/.f64 x #s(literal -4 binary64)) #s(literal -3/8 binary64))
(*.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 8/3 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 #s(literal 8/3 binary64) x)))
(/.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -8/3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))
(/.f64 #s(literal -8/3 binary64) (+.f64 (/.f64 #s(literal -4 binary64) x) (*.f64 x #s(literal 1/3 binary64))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))))
(/.f64 #s(literal -8/3 binary64) (+.f64 (/.f64 #s(literal -4 binary64) x) (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/180 binary64)) #s(literal 1/3 binary64)))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 binary64))))))))
(/.f64 #s(literal -8/3 binary64) (+.f64 (/.f64 #s(literal -4 binary64) x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/7560 binary64)))))))))
(/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))))))) #s(literal 3/4 binary64))
(/.f64 #s(literal -8/3 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 (+.f64 #s(literal 1/7560 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -4 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) x))))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (sin.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)))))))) #s(literal 4/3 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 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal 4/3 binary64))) (sin.f64 x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 3/4 binary64))
(*.f64 (sin.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.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 (-.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 8/3 binary64) (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64)) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))))
(/.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 #s(literal -8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (-.f64 #s(literal 0 binary64) (sin.f64 x))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal -3/4 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 3/8 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) (sin.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 x) #s(literal 8/3 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64))
(*.f64 (*.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))))))))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(-.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
(*.f64 (/.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 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 x))
(/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(*.f64 (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))) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -8/3 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (+.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 (/.f64 x #s(literal 2 binary64))))))))
Outputs
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
Calls

2 calls:

25.0ms
x
21.0ms
(/.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
99.7%1x
99.7%1(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes8.0ms (0.1%)

Counts
19 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2/3 binary64) x)
(/.f64 x #s(literal 3/2 binary64))
(/.f64 #s(literal -8/3 binary64) (/.f64 #s(literal -4 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x))
(/.f64 (/.f64 x #s(literal -4 binary64)) #s(literal -3/8 binary64))
(*.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 8/3 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 #s(literal 8/3 binary64) x)))
(/.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -8/3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))
(/.f64 #s(literal -8/3 binary64) (+.f64 (/.f64 #s(literal -4 binary64) x) (*.f64 x #s(literal 1/3 binary64))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))))
(/.f64 #s(literal -8/3 binary64) (+.f64 (/.f64 #s(literal -4 binary64) x) (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/180 binary64)) #s(literal 1/3 binary64)))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 binary64))))))))
(/.f64 #s(literal -8/3 binary64) (+.f64 (/.f64 #s(literal -4 binary64) x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/7560 binary64)))))))))
(/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))))))) #s(literal 3/4 binary64))
(/.f64 #s(literal -8/3 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 (+.f64 #s(literal 1/7560 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -4 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) x))))))
(*.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:

6.0ms
x
Results
AccuracySegmentsBranch
99.3%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts
18 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2/3 binary64) x)
(/.f64 x #s(literal 3/2 binary64))
(/.f64 #s(literal -8/3 binary64) (/.f64 #s(literal -4 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x))
(/.f64 (/.f64 x #s(literal -4 binary64)) #s(literal -3/8 binary64))
(*.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 8/3 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 #s(literal 8/3 binary64) x)))
(/.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -8/3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))
(/.f64 #s(literal -8/3 binary64) (+.f64 (/.f64 #s(literal -4 binary64) x) (*.f64 x #s(literal 1/3 binary64))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))))
(/.f64 #s(literal -8/3 binary64) (+.f64 (/.f64 #s(literal -4 binary64) x) (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/180 binary64)) #s(literal 1/3 binary64)))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 binary64))))))))
(/.f64 #s(literal -8/3 binary64) (+.f64 (/.f64 #s(literal -4 binary64) x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/7560 binary64)))))))))
(/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))))))) #s(literal 3/4 binary64))
(/.f64 #s(literal -8/3 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 (+.f64 #s(literal 1/7560 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -4 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) x))))))
(*.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:

6.0ms
x
Results
AccuracySegmentsBranch
52.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Counts
17 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2/3 binary64) x)
(/.f64 x #s(literal 3/2 binary64))
(/.f64 #s(literal -8/3 binary64) (/.f64 #s(literal -4 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x))
(/.f64 (/.f64 x #s(literal -4 binary64)) #s(literal -3/8 binary64))
(*.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 8/3 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 #s(literal 8/3 binary64) x)))
(/.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -8/3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))
(/.f64 #s(literal -8/3 binary64) (+.f64 (/.f64 #s(literal -4 binary64) x) (*.f64 x #s(literal 1/3 binary64))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))))
(/.f64 #s(literal -8/3 binary64) (+.f64 (/.f64 #s(literal -4 binary64) x) (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/180 binary64)) #s(literal 1/3 binary64)))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 binary64))))))))
(/.f64 #s(literal -8/3 binary64) (+.f64 (/.f64 #s(literal -4 binary64) x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/7560 binary64)))))))))
(/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))))))) #s(literal 3/4 binary64))
(/.f64 #s(literal -8/3 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 (+.f64 #s(literal 1/7560 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -4 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) x))))))
Outputs
(/.f64 #s(literal -8/3 binary64) (+.f64 (/.f64 #s(literal -4 binary64) x) (*.f64 x #s(literal 1/3 binary64))))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
49.2%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

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

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
48.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
48.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify9.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

soundness2.5s (23%)

Rules
5000×+-lowering-+.f64
5000×+-lowering-+.f32
3778×/-lowering-/.f32
3778×/-lowering-/.f64
3746×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02569
111667
268867
3679066
0810466
02481468
16881286
219701286
337071275
465331275
080721275
01568
14156
215756
382753
4595453
0805353
0145850
1415734
21201731
33832731
44903731
56263731
66791731
77270731
08135731
01214
11910
23010
33910
44210
04210
035113
1209103
21441101
08296101
026105
1140101
2117291
0872191
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×saturated
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 186 to 129 computations (30.6% saved)

preprocess88.0ms (0.8%)

Remove

(negabs x)

Compiler

Compiled 178 to 126 computations (29.2% saved)

end0.0ms (0%)

Profiling

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