Diagrams.TwoD.Layout.CirclePacking:approxRadius from diagrams-contrib-1.3.0.5

Time bar (total: 11.7s)

analyze375.0ms (3.2%)

Memory
6.6MiB live, 201.2MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
12.5%12.5%87.4%0.1%0%0%0%7
15.6%15.6%84.3%0.1%0%0%0%8
28.1%28.1%71.8%0.1%0%0%0%9
30.5%30.4%69.5%0.1%0%0%0%10
38.3%38.2%61.7%0.1%0%0%0%11
39.6%39.6%60.3%0.1%0%0%0%12
Compiler

Compiled 15 to 10 computations (33.3% saved)

sample1.8s (15.2%)

Memory
58.1MiB live, 1 974.4MiB allocated
Samples
1.1s3 969×1valid
403.0ms4 287×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-sin: 344.0ms (33.3% of total)
ival-div: 260.0ms (25.2% of total)
ival-tan: 226.0ms (21.9% of total)
ival-mult: 148.0ms (14.3% of total)
adjust: 37.0ms (3.6% of total)
ival-true: 7.0ms (0.7% of total)
exact: 5.0ms (0.5% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

preprocess35.0ms (0.3%)

Memory
-28.3MiB live, 53.5MiB allocated
Algorithm
2×egg-herbie
Rules
80×associate-/r*
72×times-frac
68×sub-neg
64×div-sub
58×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02684
15780
210878
316778
425078
543078
653978
757978
859878
961178
0813
11113
21313
01313
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(/ (tan (/ x (* y 2))) (sin (/ x (* y 2))))
Outputs
(/ (tan (/ x (* y 2))) (sin (/ x (* y 2))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Call 2
Inputs
(/ (tan (/ x (* y 2))) (sin (/ x (* y 2))))
(/ (tan (/ (neg x) (* y 2))) (sin (/ (neg x) (* y 2))))
(/ (tan (/ x (* (neg y) 2))) (sin (/ x (* (neg y) 2))))
(neg (/ (tan (/ (neg x) (* y 2))) (sin (/ (neg x) (* y 2)))))
(neg (/ (tan (/ x (* (neg y) 2))) (sin (/ x (* (neg y) 2)))))
(/ (tan (/ y (* x 2))) (sin (/ y (* x 2))))
Outputs
(/ (tan (/ x (* y 2))) (sin (/ x (* y 2))))
(/ (tan (/ (neg x) (* y 2))) (sin (/ (neg x) (* y 2))))
(/ (tan (/ x (* y 2))) (sin (/ x (* y 2))))
(/ (tan (/ x (* (neg y) 2))) (sin (/ x (* (neg y) 2))))
(/ (tan (/ x (* y 2))) (sin (/ x (* y 2))))
(neg (/ (tan (/ (neg x) (* y 2))) (sin (/ (neg x) (* y 2)))))
(/ (tan (/ x (* y 2))) (sin (* x (/ -1/2 y))))
(neg (/ (tan (/ x (* (neg y) 2))) (sin (/ x (* (neg y) 2)))))
(/ (tan (/ x (* y 2))) (sin (* x (/ -1/2 y))))
(/ (tan (/ y (* x 2))) (sin (/ y (* x 2))))
Symmetry

(abs x)

(abs y)

explain400.0ms (3.4%)

Memory
12.1MiB live, 293.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1110-0-(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
1110-0-(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
300-0-(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
00-0-y
00-0-#s(literal 2 binary64)
00-0-(/.f64 x (*.f64 y #s(literal 2 binary64)))
00-0-x
00-0-(*.f64 y #s(literal 2 binary64))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sin.f64(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))sensitivity760
tan.f64(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))sensitivity760
sin.f64(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))oflow-rescue350
↳(/.f64 x (*.f64 y #s(literal 2 binary64)))overflow35
tan.f64(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))oflow-rescue350
↳(/.f64 x (*.f64 y #s(literal 2 binary64)))overflow35
/.f64(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))u/u300
↳(/.f64 x (*.f64 y #s(literal 2 binary64)))underflow30
↳(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))underflow30
↳(/.f64 x (*.f64 y #s(literal 2 binary64)))underflow30
↳(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))underflow30
Confusion
Predicted +Predicted -
+1410
-0115
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+14100
-00115
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0115
130
2111
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
221.0ms214×1valid
20.0ms298×0valid
Compiler

Compiled 106 to 36 computations (66% saved)

Precisions
Click to see histograms. Total time spent on operations: 130.0ms
ival-tan: 101.0ms (77.9% of total)
ival-sin: 11.0ms (8.5% of total)
ival-div: 9.0ms (6.9% of total)
ival-mult: 5.0ms (3.9% of total)
adjust: 2.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶49.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify4.0ms (0%)

Memory
7.1MiB live, 7.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 y #s(literal 2 binary64))
✓cost-diff0
(/.f64 x (*.f64 y #s(literal 2 binary64)))
✓cost-diff0
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
✓cost-diff0
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Rules
12×/-lowering-/.f32
12×/-lowering-/.f64
4×*-lowering-*.f32
4×*-lowering-*.f64
4×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0836
11136
21336
01336
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (tan (/ x (* y 2))) (sin (/ x (* y 2))))
(tan (/ x (* y 2)))
(/ x (* y 2))
x
(* y 2)
y
2
(sin (/ x (* y 2)))
Outputs
(/ (tan (/ x (* y 2))) (sin (/ x (* y 2))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan (/ x (* y 2)))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/ x (* y 2))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
x
(* y 2)
(*.f64 y #s(literal 2 binary64))
y
2
#s(literal 2 binary64)
(sin (/ x (* y 2)))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))

localize48.0ms (0.4%)

Memory
19.8MiB live, 95.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 y #s(literal 2 binary64))
✓accuracy88.4%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓accuracy61.1%
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
✓accuracy60.8%
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
Samples
22.0ms107×1valid
10.0ms149×0valid
Compiler

Compiled 38 to 10 computations (73.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-tan: 6.0ms (30.7% of total)
ival-div: 5.0ms (25.6% of total)
ival-sin: 5.0ms (25.6% of total)
ival-mult: 2.0ms (10.2% of total)
adjust: 1.0ms (5.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series25.0ms (0.2%)

Memory
-36.8MiB live, 45.2MiB allocated
Counts
5 → 108
Calls
Call 1
Inputs
#<alt (/ (tan (/ x (* y 2))) (sin (/ x (* y 2))))>
#<alt (tan (/ x (* y 2)))>
#<alt (/ x (* y 2))>
#<alt (* y 2)>
#<alt (sin (/ x (* y 2)))>
Outputs
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))>
#<alt (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt 1>
#<alt (- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))>
#<alt (- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))>
#<alt 1>
#<alt (- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))>
#<alt (- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))>
#<alt (* 1/2 (/ x y))>
#<alt (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (* 1/2 (/ x y))>
#<alt (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y)>
#<alt (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/768 (/ (pow x 5) (pow y 4)))))) y)>
#<alt (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5))))) (pow y 6))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (* 1/384 (/ (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 6))))))))) y)>
#<alt (* 1/2 (/ x y))>
#<alt (* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y))>
#<alt (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y))>
#<alt (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 1/2 (/ x y))>
#<alt (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (* 1/2 (/ x y))>
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)>
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)>
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)>
#<alt (* 1/2 (/ x y))>
#<alt (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))>
#<alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))>
#<alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))>
Calls

27 calls:

TimeVariablePointExpression
5.0ms
x
@0
(/ (tan (/ x (* y 2))) (sin (/ x (* y 2))))
4.0ms
y
@inf
(sin (/ x (* y 2)))
3.0ms
y
@inf
(/ (tan (/ x (* y 2))) (sin (/ x (* y 2))))
2.0ms
y
@-inf
(/ (tan (/ x (* y 2))) (sin (/ x (* y 2))))
2.0ms
x
@inf
(/ x (* y 2))

rewrite304.0ms (2.6%)

Memory
42.7MiB live, 275.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
2 672×*-lowering-*.f32
2 672×*-lowering-*.f64
2 226×/-lowering-/.f32
2 226×/-lowering-/.f64
1 360×accelerator-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0833
12833
213728
378628
0816828
Stop Event
1×iter limit
1×node limit
Counts
5 → 380
Calls
Call 1
Inputs
(/ (tan (/ x (* y 2))) (sin (/ x (* y 2))))
(tan (/ x (* y 2)))
(/ x (* y 2))
(* y 2)
(sin (/ x (* y 2)))
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(neg.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(/.f64 (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64)))
(/.f64 (tan.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
(/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (neg.f64 (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(/.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 3 binary64))) (*.f64 (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (pow.f64 (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 3 binary64))) (*.f64 (neg.f64 (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))))
(/.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 2 binary64))) (*.f64 (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (*.f64 (neg.f64 (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (*.f64 (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (neg.f64 (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (tan.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))) (*.f64 (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (*.f64 (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 2 binary64)) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 2 binary64)) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 3 binary64)))) (*.f64 (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (pow.f64 (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 2 binary64)))) (*.f64 (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 3 binary64)))) (*.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (pow.f64 (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 2 binary64)))) (*.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))) (neg.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) (neg.f64 (pow.f64 (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 3 binary64)))) (pow.f64 (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) (neg.f64 (pow.f64 (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 2 binary64)))) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))) (pow.f64 (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(pow.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) #s(literal -1 binary64))
(*.f64 (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(*.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))))
(*.f64 (tan.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))))
(*.f64 (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))))
(*.f64 (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) (tan.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))))
(*.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1/2 binary64)) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(*.f64 (/.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1/2 binary64)) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (/.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))))
(*.f64 (/.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (/.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1/2 binary64)) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(*.f64 (/.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))))
(*.f64 (/.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))) (/.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1/2 binary64)) (neg.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) (/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))))
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(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal -2 binary64)))
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(fma.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
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(fma.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) (*.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) #s(literal -2 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -2 binary64) #s(literal 0 binary64))
(neg.f64 (*.f64 y #s(literal -2 binary64)))
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(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) y)
(*.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
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(-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
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(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(fma.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) #s(literal 0 binary64))
(neg.f64 (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
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(pow.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal -1 binary64))
(*.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 1 binary64))
(*.f64 (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 #s(literal -1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))

simplify582.0ms (5%)

Memory
-37.5MiB live, 779.7MiB allocated
Algorithm
1×egg-herbie
Rules
14 468×accelerator-lowering-fma.f32
14 468×accelerator-lowering-fma.f64
6 082×+-lowering-+.f64
6 082×+-lowering-+.f32
5 448×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03162054
19502028
233881926
091111817
Stop Event
1×iter limit
1×node limit
Counts
108 → 108
Calls
Call 1
Inputs
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
1
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))
1
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(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))
(* 1/2 (/ x y))
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(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
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(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
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(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
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(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(* 1/2 (/ x y))
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y)
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/768 (/ (pow x 5) (pow y 4)))))) y)
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5))))) (pow y 6))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (* 1/384 (/ (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 6))))))))) y)
(* 1/2 (/ x y))
(* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y))
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(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 1/2 (/ x y))
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(* 1/2 (/ x y))
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)
(* 1/2 (/ x y))
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 61/46080 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal 1 binary64))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
1
#s(literal 1 binary64)
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/24 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 y y))) #s(literal 1 binary64)))
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))
(-.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 y y))) #s(literal 1/24 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/960 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) #s(literal -1/8 binary64)))) (*.f64 x (pow.f64 y #s(literal 4 binary64))))) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64)) x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/24 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 y y))) (/.f64 (*.f64 #s(literal 1/1920 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (pow.f64 y #s(literal 4 binary64)))))
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))
(-.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 y y))) #s(literal 1/24 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/960 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) #s(literal -1/8 binary64)))) (*.f64 x (pow.f64 y #s(literal 4 binary64))))) (/.f64 (-.f64 (fma.f64 #s(literal -1/645120 binary64) (pow.f64 x #s(literal 7 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/960 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) #s(literal -1/8 binary64)))) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64)) #s(literal 1/384 binary64)) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/92160 binary64)))) (*.f64 x (pow.f64 y #s(literal 6 binary64))))) #s(literal 1 binary64)) (fma.f64 #s(literal -1/24 binary64) (fma.f64 (*.f64 x x) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64)) x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (pow.f64 y #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/960 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) #s(literal -1/8 binary64)))) x) (fma.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64)) x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/1920 binary64)))) (pow.f64 y #s(literal 6 binary64)))) (/.f64 (*.f64 x x) (*.f64 y y))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64)) x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/1920 binary64) (/.f64 #s(literal 1/1920 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal -1/322560 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64))))))
1
#s(literal 1 binary64)
(- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/24 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) (*.f64 x (*.f64 y y))) #s(literal 1 binary64)))
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 y y))) (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/960 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64)) #s(literal -1/8 binary64)))) (*.f64 x (pow.f64 y #s(literal 4 binary64))))) (fma.f64 #s(literal 1/24 binary64) (*.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) x))) (pow.f64 y #s(literal 4 binary64))) (/.f64 x (*.f64 y y)))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/1920 binary64)) (pow.f64 y #s(literal 4 binary64))))))
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))
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(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(*.f64 x (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)))
(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
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(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 17/40320 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 1/240 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y)))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
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(/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
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(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
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(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 y y))) y)
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/768 (/ (pow x 5) (pow y 4)))))) y)
(/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 #s(literal 1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/16 binary64) (*.f64 y y)) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/768 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) #s(literal -1/8 binary64))) (pow.f64 y #s(literal 4 binary64)))))))) y)
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5))))) (pow y 6))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (* 1/384 (/ (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 6))))))))) y)
(/.f64 (-.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal -1/645120 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 x #s(literal 1/2 binary64))))) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/960 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) #s(literal -1/8 binary64)))) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1/16 binary64) (*.f64 y y)) (fma.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 1/768 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/92160 binary64)) (pow.f64 y #s(literal 6 binary64)))))))) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y))
(/.f64 (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) #s(literal -1/24 binary64) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 y))
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y))
(/.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/48 binary64) (*.f64 y y)) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 x #s(literal -1/2 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/16 binary64) (*.f64 y y)) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/768 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) #s(literal -1/8 binary64))) (pow.f64 y #s(literal 4 binary64)))))) (neg.f64 y))
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y))
(/.f64 (-.f64 (fma.f64 x #s(literal -1/2 binary64) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/48 binary64) (*.f64 y y)) (/.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/645120 binary64)) (pow.f64 y #s(literal 6 binary64)))))) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1/24 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/960 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64)) #s(literal -1/8 binary64)))) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 #s(literal -1/768 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/16 binary64) (*.f64 y y)) (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal 1/92160 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) #s(literal 1/384 binary64))) (pow.f64 y #s(literal 6 binary64)))))))) (neg.f64 y))
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(*.f64 x (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)))
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal -1/48 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y)))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/645120 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal -1/48 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y)))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)
(/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64))) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1/48 binary64) (*.f64 y y)) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 x #s(literal 1/2 binary64)))) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)
(/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal -1/645120 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 x #s(literal 1/2 binary64))))) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/48 binary64) (*.f64 y y)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/48 binary64) (*.f64 y y)) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 x #s(literal -1/2 binary64)))) (neg.f64 y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))
(/.f64 (fma.f64 x #s(literal -1/2 binary64) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/48 binary64) (*.f64 y y)) (/.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/645120 binary64)) (pow.f64 y #s(literal 6 binary64)))))) (neg.f64 y))

eval117.0ms (1%)

Memory
-5.5MiB live, 184.6MiB allocated
Compiler

Compiled 14 063 to 1 767 computations (87.4% saved)

prune127.0ms (1.1%)

Memory
6.2MiB live, 324.9MiB allocated
Pruning

54 alts after pruning (53 fresh and 1 done)

PrunedKeptTotal
New62653679
Fresh000
Picked011
Done000
Total62654680
Accuracy
65.7%
Counts
680 → 54
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.5%
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))
57.9%
(pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
▶59.4%
(pow.f64 (*.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal -1/2 binary64))
46.3%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
5.5%
(/.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 3 binary64))) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
5.9%
(/.f64 (/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (*.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.2%
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
46.3%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
48.5%
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
42.4%
(/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
48.5%
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
30.4%
(/.f64 (tan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 y #s(literal -2 binary64))) (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 y #s(literal -2 binary64)) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
22.8%
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
31.3%
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
25.6%
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
24.5%
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
13.9%
(/.f64 (tan.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
25.3%
(/.f64 (tan.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
20.5%
(/.f64 (tan.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 y y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
32.8%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64))) y))
46.8%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1/2 binary64))))
45.5%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
6.4%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))))
32.3%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (*.f64 x (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))))
48.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
42.1%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64))))
23.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))))))
25.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))))
24.1%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)))
13.9%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))))
25.2%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y))))
▶49.1%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))))
✓49.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (*.f64 y #s(literal 2 binary64)))))))))
45.7%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
48.5%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))))
15.4%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y y))))) (*.f64 #s(literal 4 binary64) (*.f64 y y)))))
22.7%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (*.f64 y #s(literal 2 binary64)))))
48.7%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
42.2%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))))
43.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))))))
44.5%
(/.f64 (tan.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (*.f64 y #s(literal 2 binary64)))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.7%
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
48.8%
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
▶42.1%
(/.f64 (tan.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
47.7%
(/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64)))
5.7%
(/.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 3 binary64))) (*.f64 (neg.f64 (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))))
▶60.7%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
5.7%
(*.f64 (/.f64 (tan.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (neg.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
6.4%
(*.f64 (/.f64 (tan.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
46.3%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
46.3%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
46.3%
(*.f64 (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
▶60.5%
#s(literal 1 binary64)
Compiler

Compiled 2 329 to 1 536 computations (34% saved)

simplify16.0ms (0.1%)

Memory
27.4MiB live, 27.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(tan.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))))
✓cost-diff0
(/.f64 (tan.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓cost-diff320
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))
✓cost-diff12800
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))
✓cost-diff0
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
✓cost-diff0
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
✓cost-diff0
(*.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
✓cost-diff0
(pow.f64 (*.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal -1/2 binary64))
✓cost-diff0
(/.f64 x (*.f64 y #s(literal 2 binary64)))
✓cost-diff0
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
✓cost-diff0
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))))
✓cost-diff1088
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))
✓cost-diff0
(*.f64 x #s(literal 1/2 binary64))
✓cost-diff0
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
✓cost-diff0
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
Rules
114×*-lowering-*.f32
114×*-lowering-*.f64
100×/-lowering-/.f32
100×/-lowering-/.f64
62×times-frac
Iterations

Useful iterations: 12 (0.0ms)

IterNodesCost
028185
146185
261185
373185
496185
5138185
6148185
7158185
8179185
9219185
10245185
11268185
12295184
13303184
14318184
15321184
0321184
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ 1 (cos (/ (* x 1/2) y)))
1
(cos (/ (* x 1/2) y))
(/ (* x 1/2) y)
(* x 1/2)
x
1/2
y
1
(/ (tan (/ x (* y 2))) (sin (/ x (/ 2 (/ 1 y)))))
(tan (/ x (* y 2)))
(/ x (* y 2))
x
(* y 2)
y
2
(sin (/ x (/ 2 (/ 1 y))))
(/ x (/ 2 (/ 1 y)))
(/ 2 (/ 1 y))
(/ 1 y)
1
(pow (* (cos (/ (* x 1/2) y)) (cos (/ (* x 1/2) y))) -1/2)
(* (cos (/ (* x 1/2) y)) (cos (/ (* x 1/2) y)))
(cos (/ (* x 1/2) y))
(/ (* x 1/2) y)
(* x 1/2)
x
1/2
y
-1/2
(/ (tan (exp (* -1 (log (/ y (* x 1/2)))))) (sin (/ x (* y 2))))
(tan (exp (* -1 (log (/ y (* x 1/2))))))
(exp (* -1 (log (/ y (* x 1/2)))))
(* -1 (log (/ y (* x 1/2))))
-1
(log (/ y (* x 1/2)))
(/ y (* x 1/2))
y
(* x 1/2)
x
1/2
(sin (/ x (* y 2)))
(/ x (* y 2))
(* y 2)
2
Outputs
(/ 1 (cos (/ (* x 1/2) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
1
#s(literal 1 binary64)
(cos (/ (* x 1/2) y))
(cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/ (* x 1/2) y)
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
x
1/2
#s(literal 1/2 binary64)
y
1
#s(literal 1 binary64)
(/ (tan (/ x (* y 2))) (sin (/ x (/ 2 (/ 1 y)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan (/ x (* y 2)))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/ x (* y 2))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
x
(* y 2)
(*.f64 y #s(literal 2 binary64))
y
2
#s(literal 2 binary64)
(sin (/ x (/ 2 (/ 1 y))))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/ x (/ 2 (/ 1 y)))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(/ 2 (/ 1 y))
(*.f64 y #s(literal 2 binary64))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
(pow (* (cos (/ (* x 1/2) y)) (cos (/ (* x 1/2) y))) -1/2)
(pow.f64 (*.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -1/2 binary64))
(* (cos (/ (* x 1/2) y)) (cos (/ (* x 1/2) y)))
(*.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(cos (/ (* x 1/2) y))
(cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/ (* x 1/2) y)
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
x
1/2
#s(literal 1/2 binary64)
y
-1/2
#s(literal -1/2 binary64)
(/ (tan (exp (* -1 (log (/ y (* x 1/2)))))) (sin (/ x (* y 2))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan (exp (* -1 (log (/ y (* x 1/2))))))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(exp (* -1 (log (/ y (* x 1/2)))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(* -1 (log (/ y (* x 1/2))))
(log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
-1
#s(literal -1 binary64)
(log (/ y (* x 1/2)))
(log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))
(/ y (* x 1/2))
(/.f64 y (*.f64 x #s(literal 1/2 binary64)))
y
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
x
1/2
#s(literal 1/2 binary64)
(sin (/ x (* y 2)))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/ x (* y 2))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(* y 2)
(*.f64 y #s(literal 2 binary64))
2
#s(literal 2 binary64)

localize220.0ms (1.9%)

Memory
-0.9MiB live, 320.5MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy88.4%
(/.f64 (tan.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓accuracy73.9%
(log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))
✓accuracy61.1%
(tan.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))))
✓accuracy60.8%
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
✓accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
✓accuracy100.0%
(pow.f64 (*.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal -1/2 binary64))
✓accuracy99.6%
(*.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
✓accuracy60.9%
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
✓accuracy99.6%
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))
✓accuracy88.4%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))))
✓accuracy61.1%
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
✓accuracy60.8%
(sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))
✓accuracy100.0%
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
✓accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
✓accuracy60.9%
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
Samples
91.0ms107×1valid
49.0ms149×0valid
Compiler

Compiled 208 to 30 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 101.0ms
ival-cos: 22.0ms (21.8% of total)
ival-div: 20.0ms (19.8% of total)
ival-mult: 11.0ms (10.9% of total)
ival-tan: 11.0ms (10.9% of total)
ival-sin: 10.0ms (9.9% of total)
ival-exp: 8.0ms (7.9% of total)
ival-log: 8.0ms (7.9% of total)
ival-pow: 6.0ms (5.9% of total)
adjust: 3.0ms (3% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series183.0ms (1.6%)

Memory
9.4MiB live, 317.1MiB allocated
Counts
17 → 384
Calls
Call 1
Inputs
#<alt (/ 1 (cos (/ (* x 1/2) y)))>
#<alt (cos (/ (* x 1/2) y))>
#<alt (/ (* x 1/2) y)>
#<alt (* x 1/2)>
#<alt (/ 2 (/ 1 y))>
#<alt (/ (tan (/ x (* y 2))) (sin (/ x (/ 2 (/ 1 y)))))>
#<alt (tan (/ x (* y 2)))>
#<alt (/ x (* y 2))>
#<alt (pow (* (cos (/ (* x 1/2) y)) (cos (/ (* x 1/2) y))) -1/2)>
#<alt (* (cos (/ (* x 1/2) y)) (cos (/ (* x 1/2) y)))>
#<alt (exp (* -1 (log (/ y (* x 1/2)))))>
#<alt (* -1 (log (/ y (* x 1/2))))>
#<alt (/ (tan (exp (* -1 (log (/ y (* x 1/2)))))) (sin (/ x (* y 2))))>
#<alt (tan (exp (* -1 (log (/ y (* x 1/2))))))>
#<alt (sin (/ x (/ 2 (/ 1 y))))>
#<alt (sin (/ x (* y 2)))>
#<alt (log (/ y (* x 1/2)))>
Outputs
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))>
#<alt (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
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#<alt (- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))>
#<alt (- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))>
#<alt (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (* 1/2 (/ x y))>
#<alt (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y)>
#<alt (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/768 (/ (pow x 5) (pow y 4)))))) y)>
#<alt (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5))))) (pow y 6))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (* 1/384 (/ (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 6))))))))) y)>
#<alt (* 1/2 (/ x y))>
#<alt (* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y))>
#<alt (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y))>
#<alt (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y))>
#<alt (* 1/2 (/ x y))>
#<alt (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (* 1/2 (/ x y))>
#<alt (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (* 1/2 (/ x y))>
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)>
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)>
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)>
#<alt (* 1/2 (/ x y))>
#<alt (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))>
#<alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))>
#<alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))>
#<alt (* 1/2 (/ x y))>
#<alt (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (* 1/2 (/ x y))>
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)>
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)>
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)>
#<alt (* 1/2 (/ x y))>
#<alt (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))>
#<alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))>
#<alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))>
#<alt (+ (log y) (log (/ 2 x)))>
#<alt (+ (log y) (log (/ 2 x)))>
#<alt (+ (log y) (log (/ 2 x)))>
#<alt (+ (log y) (log (/ 2 x)))>
#<alt (+ (log (/ 2 x)) (* -1 (log (/ 1 y))))>
#<alt (+ (log (/ 2 x)) (* -1 (log (/ 1 y))))>
#<alt (+ (log (/ 2 x)) (* -1 (log (/ 1 y))))>
#<alt (+ (log (/ 2 x)) (* -1 (log (/ 1 y))))>
#<alt (+ (log (/ -2 x)) (* -1 (log (/ -1 y))))>
#<alt (+ (log (/ -2 x)) (* -1 (log (/ -1 y))))>
#<alt (+ (log (/ -2 x)) (* -1 (log (/ -1 y))))>
#<alt (+ (log (/ -2 x)) (* -1 (log (/ -1 y))))>
#<alt (+ (log (* 2 y)) (* -1 (log x)))>
#<alt (+ (log (* 2 y)) (* -1 (log x)))>
#<alt (+ (log (* 2 y)) (* -1 (log x)))>
#<alt (+ (log (* 2 y)) (* -1 (log x)))>
#<alt (+ (log (* 2 y)) (log (/ 1 x)))>
#<alt (+ (log (* 2 y)) (log (/ 1 x)))>
#<alt (+ (log (* 2 y)) (log (/ 1 x)))>
#<alt (+ (log (* 2 y)) (log (/ 1 x)))>
#<alt (+ (log (* -2 y)) (log (/ -1 x)))>
#<alt (+ (log (* -2 y)) (log (/ -1 x)))>
#<alt (+ (log (* -2 y)) (log (/ -1 x)))>
#<alt (+ (log (* -2 y)) (log (/ -1 x)))>
Calls

96 calls:

TimeVariablePointExpression
64.0ms
x
@-inf
(* -1 (log (/ y (* x 1/2))))
40.0ms
y
@0
(* -1 (log (/ y (* x 1/2))))
18.0ms
y
@-inf
(* -1 (log (/ y (* x 1/2))))
16.0ms
x
@0
(* -1 (log (/ y (* x 1/2))))
9.0ms
x
@inf
(* -1 (log (/ y (* x 1/2))))

rewrite333.0ms (2.8%)

Memory
-51.1MiB live, 454.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 634×accelerator-lowering-fma.f32
3 634×accelerator-lowering-fma.f64
2 740×*-lowering-*.f32
2 740×*-lowering-*.f64
1 898×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028104
1133103
2698103
36036103
08098102
Stop Event
1×iter limit
1×node limit
Counts
17 → 941
Calls
Call 1
Inputs
(/ 1 (cos (/ (* x 1/2) y)))
(cos (/ (* x 1/2) y))
(/ (* x 1/2) y)
(* x 1/2)
(/ 2 (/ 1 y))
(/ (tan (/ x (* y 2))) (sin (/ x (/ 2 (/ 1 y)))))
(tan (/ x (* y 2)))
(/ x (* y 2))
(pow (* (cos (/ (* x 1/2) y)) (cos (/ (* x 1/2) y))) -1/2)
(* (cos (/ (* x 1/2) y)) (cos (/ (* x 1/2) y)))
(exp (* -1 (log (/ y (* x 1/2)))))
(* -1 (log (/ y (* x 1/2))))
(/ (tan (exp (* -1 (log (/ y (* x 1/2)))))) (sin (/ x (* y 2))))
(tan (exp (* -1 (log (/ y (* x 1/2))))))
(sin (/ x (/ 2 (/ 1 y))))
(sin (/ x (* y 2)))
(log (/ y (* x 1/2)))
Outputs
(exp.f64 (neg.f64 (log.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1/2 binary64))) (log.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)))
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))))
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (neg.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (neg.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (neg.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) (neg.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal -1 binary64)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 4 binary64)) #s(literal -1/4 binary64))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(*.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))))
(*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
(*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(*.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))
(*.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/4 binary64)) (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -1 binary64))
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(fma.f64 #s(literal 1 binary64) (log.f64 y) (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (log.f64 (*.f64 y #s(literal 2 binary64))) (neg.f64 (log.f64 x)))
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(fma.f64 #s(literal 1 binary64) (log.f64 (*.f64 y #s(literal 2 binary64))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 y))
(fma.f64 #s(literal -1 binary64) (log.f64 x) (log.f64 (*.f64 y #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (log.f64 (*.f64 x #s(literal -1/2 binary64))) (log.f64 (neg.f64 y)))
(fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 x y)) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))) (neg.f64 (log.f64 x)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 y)) (neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 y)) (*.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 y)) (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (neg.f64 y))) (neg.f64 (log.f64 (*.f64 x #s(literal -1/2 binary64)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (neg.f64 y))) (log.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (neg.f64 y))) (log.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (*.f64 y #s(literal -2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x))))
(fma.f64 (log.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (pow.f64 (log.f64 y) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (*.f64 (log.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (log.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal 0 binary64))
(neg.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (*.f64 (log.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (log.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x))))))
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(/.f64 (*.f64 (log.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (log.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x)))) (log.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (pow.f64 (log.f64 y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (log.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x))))) (neg.f64 (log.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(/.f64 (+.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (log.f64 y) (neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (log.f64 (neg.f64 y)) (log.f64 (neg.f64 y)) (fma.f64 (log.f64 (*.f64 x #s(literal -1/2 binary64))) (log.f64 (*.f64 x #s(literal -1/2 binary64))) (*.f64 (log.f64 (neg.f64 y)) (log.f64 (*.f64 x #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 (/.f64 x y)) (log.f64 (/.f64 x y)) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 (/.f64 x y)) (log.f64 #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))))) (log.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
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(/.f64 (-.f64 (*.f64 (log.f64 (neg.f64 y)) (log.f64 (neg.f64 y))) (*.f64 (log.f64 (*.f64 x #s(literal -1/2 binary64))) (log.f64 (*.f64 x #s(literal -1/2 binary64))))) (log.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 (-.f64 (*.f64 (log.f64 (/.f64 x y)) (log.f64 (/.f64 x y))) (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)))) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(pow.f64 (/.f64 (fma.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)))) #s(literal -1 binary64))
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(*.f64 #s(literal 1 binary64) (log.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(*.f64 (log.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))
(*.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (pow.f64 (log.f64 y) #s(literal 2 binary64)))))
(*.f64 (*.f64 (log.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (log.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))))

simplify604.0ms (5.2%)

Memory
13.6MiB live, 799.8MiB allocated
Algorithm
1×egg-herbie
Rules
10 904×accelerator-lowering-fma.f32
10 904×accelerator-lowering-fma.f64
5 246×*-lowering-*.f32
5 246×*-lowering-*.f64
4 228×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04285872
112825744
242575712
083405406
Stop Event
1×iter limit
1×node limit
Counts
384 → 384
Calls
Call 1
Inputs
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))
1
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
1
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))
1
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))
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(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y)
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/768 (/ (pow x 5) (pow y 4)))))) y)
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5))))) (pow y 6))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (* 1/384 (/ (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 6))))))))) y)
(* 1/2 (/ x y))
(* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y))
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y))
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y))
(* 1/2 (/ x y))
(* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(* 1/2 (/ x y))
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(* 1/2 (/ x y))
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)
(* 1/2 (/ x y))
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))
(* 1/2 (/ x y))
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(* 1/2 (/ x y))
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)
(* 1/2 (/ x y))
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))
(+ (log y) (log (/ 2 x)))
(+ (log y) (log (/ 2 x)))
(+ (log y) (log (/ 2 x)))
(+ (log y) (log (/ 2 x)))
(+ (log (/ 2 x)) (* -1 (log (/ 1 y))))
(+ (log (/ 2 x)) (* -1 (log (/ 1 y))))
(+ (log (/ 2 x)) (* -1 (log (/ 1 y))))
(+ (log (/ 2 x)) (* -1 (log (/ 1 y))))
(+ (log (/ -2 x)) (* -1 (log (/ -1 y))))
(+ (log (/ -2 x)) (* -1 (log (/ -1 y))))
(+ (log (/ -2 x)) (* -1 (log (/ -1 y))))
(+ (log (/ -2 x)) (* -1 (log (/ -1 y))))
(+ (log (* 2 y)) (* -1 (log x)))
(+ (log (* 2 y)) (* -1 (log x)))
(+ (log (* 2 y)) (* -1 (log x)))
(+ (log (* 2 y)) (* -1 (log x)))
(+ (log (* 2 y)) (log (/ 1 x)))
(+ (log (* 2 y)) (log (/ 1 x)))
(+ (log (* 2 y)) (log (/ 1 x)))
(+ (log (* 2 y)) (log (/ 1 x)))
(+ (log (* -2 y)) (log (/ -1 x)))
(+ (log (* -2 y)) (log (/ -1 x)))
(+ (log (* -2 y)) (log (/ -1 x)))
(+ (log (* -2 y)) (log (/ -1 x)))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 #s(literal 61/46080 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)))) #s(literal 1 binary64))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 #s(literal 5/384 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))
(-.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 #s(literal 5/384 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal -5/384 binary64) (*.f64 x x))) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 7/23040 binary64))) (pow.f64 y #s(literal 6 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 #s(literal 5/384 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))
(-.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 #s(literal 5/384 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal -5/384 binary64) (*.f64 x x))) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 7/23040 binary64))) (pow.f64 y #s(literal 6 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal -1/8 binary64) (*.f64 y y)))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/46080 binary64) (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal -1/8 binary64) (*.f64 y y))) #s(literal 1 binary64))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))
(+.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal -1/46080 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/384 binary64)) (pow.f64 y #s(literal 4 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))
(+.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal -1/46080 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/384 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 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 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
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(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(+ (log (/ 2 x)) (* -1 (log (/ 1 y))))
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(+ (log (/ 2 x)) (* -1 (log (/ 1 y))))
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(+ (log (/ 2 x)) (* -1 (log (/ 1 y))))
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(+ (log (/ -2 x)) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 (/.f64 #s(literal -2 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log (/ -2 x)) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 (/.f64 #s(literal -2 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log (/ -2 x)) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 (/.f64 #s(literal -2 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log (/ -2 x)) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 (/.f64 #s(literal -2 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log (* 2 y)) (* -1 (log x)))
(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) (log.f64 x))
(+ (log (* 2 y)) (* -1 (log x)))
(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) (log.f64 x))
(+ (log (* 2 y)) (* -1 (log x)))
(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) (log.f64 x))
(+ (log (* 2 y)) (* -1 (log x)))
(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) (log.f64 x))
(+ (log (* 2 y)) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) (log.f64 x))
(+ (log (* 2 y)) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) (log.f64 x))
(+ (log (* 2 y)) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) (log.f64 x))
(+ (log (* 2 y)) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) (log.f64 x))
(+ (log (* -2 y)) (log (/ -1 x)))
(+.f64 (log.f64 (*.f64 y #s(literal -2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log (* -2 y)) (log (/ -1 x)))
(+.f64 (log.f64 (*.f64 y #s(literal -2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log (* -2 y)) (log (/ -1 x)))
(+.f64 (log.f64 (*.f64 y #s(literal -2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log (* -2 y)) (log (/ -1 x)))
(+.f64 (log.f64 (*.f64 y #s(literal -2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) x)))

eval284.0ms (2.4%)

Memory
52.8MiB live, 593.7MiB allocated
Compiler

Compiled 37 997 to 3 991 computations (89.5% saved)

prune566.0ms (4.8%)

Memory
-151.5MiB live, 744.4MiB allocated
Pruning

91 alts after pruning (87 fresh and 4 done)

PrunedKeptTotal
New1 895561 951
Fresh173148
Picked235
Done011
Total1 914912 005
Accuracy
66.5%
Counts
2 005 → 91
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶46.5%
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))
59.4%
(pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
59.4%
(pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
57.9%
(pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
58.4%
(pow.f64 (/.f64 (+.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) y) (/.f64 x (*.f64 y #s(literal 2 binary64))))) (cos.f64 (-.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))) (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
58.1%
(pow.f64 (*.f64 (cos.f64 (pow.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64))) (*.f64 (log.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)))) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal -1/2 binary64))
58.0%
(pow.f64 (*.f64 (cos.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x))))) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal -1/2 binary64))
58.2%
(pow.f64 (*.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))))) #s(literal -1/2 binary64))
58.2%
(pow.f64 (*.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64))
57.2%
(pow.f64 (*.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 1 binary64)) #s(literal -1/2 binary64))
46.3%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.1%
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))))
45.2%
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
47.7%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.6%
(/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
▶48.5%
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
30.4%
(/.f64 (tan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 y #s(literal -2 binary64))) (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 y #s(literal -2 binary64)) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
22.8%
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
31.3%
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
25.6%
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
24.5%
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
25.3%
(/.f64 (tan.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
20.5%
(/.f64 (tan.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 y y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.5%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
6.4%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))))
48.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
23.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))))))
24.1%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)))
13.9%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))))
25.2%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y))))
✓49.1%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))))
✓49.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))))
15.4%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y y))))) (*.f64 #s(literal 4 binary64) (*.f64 y y)))))
22.7%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (*.f64 y #s(literal 2 binary64)))))
48.7%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
42.2%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))))
44.5%
(/.f64 (tan.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (*.f64 y #s(literal 2 binary64)))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.8%
(/.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.4%
(/.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 2 binary64) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.7%
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
2.7%
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
48.4%
(/.f64 (tan.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.8%
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))))
44.7%
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
48.8%
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
31.5%
(/.f64 (tan.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))) (neg.f64 (fma.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (pow.f64 (log.f64 y) #s(literal 2 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
31.8%
(/.f64 (tan.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))))) (log.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
42.0%
(/.f64 (tan.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
41.4%
(/.f64 (tan.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (pow.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64))) (*.f64 (log.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)))))
41.4%
(/.f64 (tan.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x))))))
▶41.9%
(/.f64 (tan.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
42.4%
(/.f64 (tan.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (/.f64 (exp.f64 (log.f64 (/.f64 x y))) (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/2 binary64)))))))
41.3%
(/.f64 (tan.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) y)))))
41.6%
(/.f64 (tan.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 2 binary64) x)))))
42.0%
(/.f64 (tan.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) x)))))
42.2%
(/.f64 (tan.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))))))
42.0%
(/.f64 (tan.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))))))
42.4%
(/.f64 (tan.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
46.4%
(/.f64 (tan.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
44.8%
(/.f64 (tan.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
47.7%
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)))
5.7%
(/.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 3 binary64))) (*.f64 (neg.f64 (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))))
47.4%
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64)))
46.3%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))))
60.5%
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64))) (*.f64 (log.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)))))
60.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
60.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x))))))
60.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) y)))
60.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
60.5%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))))))
✓60.7%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
59.7%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))) y)))
60.5%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (exp.f64 (log.f64 (/.f64 x y))) (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/2 binary64)))))))
▶60.5%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) y)))))
▶60.9%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 2 binary64) x)))))
60.7%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y #s(literal -2 binary64)) x))))
60.8%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)))))
60.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) x)))))
60.2%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))))))
60.2%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))))))
60.5%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
60.8%
(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))))
60.8%
(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
58.6%
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) #s(literal -1/2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
5.7%
(*.f64 (/.f64 (tan.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (neg.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
6.4%
(*.f64 (/.f64 (tan.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
46.3%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
46.3%
(*.f64 (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
46.3%
(*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))))
✓60.5%
#s(literal 1 binary64)
Compiler

Compiled 3 545 to 2 471 computations (30.3% saved)

simplify33.0ms (0.3%)

Memory
-2.7MiB live, 36.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (tan.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
✓cost-diff320
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))
✓cost-diff1088
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))
✓cost-diff12800
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) y)))))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) y)))
✓cost-diff1088
(/.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) y))
✓cost-diff12544
(exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff0
(tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x)))
✓cost-diff0
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓cost-diff1088
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))
✓cost-diff0
(*.f64 y y)
✓cost-diff0
(/.f64 #s(literal 1/8 binary64) (*.f64 y y))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))
✓cost-diff0
(*.f64 y (/.f64 #s(literal 2 binary64) x))
✓cost-diff0
(cos.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 2 binary64) x))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 2 binary64) x)))))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 2 binary64) x)))
Rules
380×*-lowering-*.f32
380×*-lowering-*.f64
278×/-lowering-/.f32
278×/-lowering-/.f64
228×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039247
173247
2135219
3226218
4341218
5572217
6724217
7777217
8804217
9811217
0811216
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ 1 (cos (/ 1 (* y (/ 2 x)))))
1
(cos (/ 1 (* y (/ 2 x))))
(/ 1 (* y (/ 2 x)))
(* y (/ 2 x))
y
(/ 2 x)
2
x
(+ (* (* x x) (/ 1/8 (* y y))) 1)
(* x x)
x
(/ 1/8 (* y y))
1/8
(* y y)
y
1
(/ (tan (/ (/ 1 y) (/ 2 x))) (sin (/ x (* y 2))))
(tan (/ (/ 1 y) (/ 2 x)))
(/ (/ 1 y) (/ 2 x))
(/ 1 y)
1
y
(/ 2 x)
2
x
(sin (/ x (* y 2)))
(/ x (* y 2))
(* y 2)
(/ 1 (cos (/ 1 (/ (exp (neg (log (* x 1/2)))) (/ 1 y)))))
1
(cos (/ 1 (/ (exp (neg (log (* x 1/2)))) (/ 1 y))))
(/ 1 (/ (exp (neg (log (* x 1/2)))) (/ 1 y)))
(/ (exp (neg (log (* x 1/2)))) (/ 1 y))
(exp (neg (log (* x 1/2))))
(neg (log (* x 1/2)))
(log (* x 1/2))
(* x 1/2)
x
1/2
(/ 1 y)
y
(/ (tan (exp (* -1 (log (/ y (* x 1/2)))))) (sin (/ (/ 1 y) (/ 2 x))))
(tan (exp (* -1 (log (/ y (* x 1/2))))))
(exp (* -1 (log (/ y (* x 1/2)))))
(* -1 (log (/ y (* x 1/2))))
-1
(log (/ y (* x 1/2)))
(/ y (* x 1/2))
y
(* x 1/2)
x
1/2
(sin (/ (/ 1 y) (/ 2 x)))
(/ (/ 1 y) (/ 2 x))
(/ 1 y)
1
(/ 2 x)
2
Outputs
(/ 1 (cos (/ 1 (* y (/ 2 x)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
1
#s(literal 1 binary64)
(cos (/ 1 (* y (/ 2 x))))
(cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/ 1 (* y (/ 2 x)))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(* y (/ 2 x))
(/.f64 y (*.f64 x #s(literal 1/2 binary64)))
y
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
x
(+ (* (* x x) (/ 1/8 (* y y))) 1)
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))
(* x x)
(*.f64 x x)
x
(/ 1/8 (* y y))
(/.f64 #s(literal 1/8 binary64) (*.f64 y y))
1/8
#s(literal 1/8 binary64)
(* y y)
(*.f64 y y)
y
1
#s(literal 1 binary64)
(/ (tan (/ (/ 1 y) (/ 2 x))) (sin (/ x (* y 2))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan (/ (/ 1 y) (/ 2 x)))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/ (/ 1 y) (/ 2 x))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
x
(sin (/ x (* y 2)))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/ x (* y 2))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(* y 2)
(*.f64 y #s(literal 2 binary64))
(/ 1 (cos (/ 1 (/ (exp (neg (log (* x 1/2)))) (/ 1 y)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
1
#s(literal 1 binary64)
(cos (/ 1 (/ (exp (neg (log (* x 1/2)))) (/ 1 y))))
(cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/ 1 (/ (exp (neg (log (* x 1/2)))) (/ 1 y)))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(/ (exp (neg (log (* x 1/2)))) (/ 1 y))
(/.f64 y (*.f64 x #s(literal 1/2 binary64)))
(exp (neg (log (* x 1/2))))
(/.f64 #s(literal 2 binary64) x)
(neg (log (* x 1/2)))
(neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(log (* x 1/2))
(log.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)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
y
(/ (tan (exp (* -1 (log (/ y (* x 1/2)))))) (sin (/ (/ 1 y) (/ 2 x))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan (exp (* -1 (log (/ y (* x 1/2))))))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(exp (* -1 (log (/ y (* x 1/2)))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(* -1 (log (/ y (* x 1/2))))
(log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
-1
#s(literal -1 binary64)
(log (/ y (* x 1/2)))
(log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))
(/ y (* x 1/2))
(/.f64 y (*.f64 x #s(literal 1/2 binary64)))
y
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
x
1/2
#s(literal 1/2 binary64)
(sin (/ (/ 1 y) (/ 2 x)))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/ (/ 1 y) (/ 2 x))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)

localize526.0ms (4.5%)

Memory
3.6MiB live, 356.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy88.4%
(/.f64 (tan.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
✓accuracy73.9%
(log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))
✓accuracy61.1%
(tan.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))))
✓accuracy60.8%
(sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x)))
✓accuracy99.2%
(/.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) y))
✓accuracy98.9%
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) y)))
✓accuracy91.1%
(exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))))
✓accuracy60.9%
(cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) y))))
✓accuracy99.2%
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))
✓accuracy88.4%
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓accuracy61.1%
(tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x)))
✓accuracy60.8%
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
✓accuracy100.0%
(*.f64 y y)
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.7%
(/.f64 #s(literal 1/8 binary64) (*.f64 y y))
✓accuracy80.2%
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 2 binary64) x)))))
✓accuracy99.4%
(*.f64 y (/.f64 #s(literal 2 binary64) x))
✓accuracy98.9%
(/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 2 binary64) x)))
✓accuracy60.9%
(cos.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 2 binary64) x))))
Samples
225.0ms105×1valid
145.0ms149×0valid
2.0ms2×2valid
Compiler

Compiled 280 to 41 computations (85.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 296.0ms
ival-div: 101.0ms (34.1% of total)
ival-cos: 55.0ms (18.6% of total)
ival-log: 41.0ms (13.9% of total)
adjust: 33.0ms (11.2% of total)
ival-tan: 19.0ms (6.4% of total)
ival-exp: 16.0ms (5.4% of total)
ival-mult: 16.0ms (5.4% of total)
ival-sin: 11.0ms (3.7% of total)
ival-neg: 2.0ms (0.7% of total)
ival-add: 2.0ms (0.7% of total)
exact: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series215.0ms (1.8%)

Memory
2.6MiB live, 117.7MiB allocated
Counts
24 → 516
Calls
Call 1
Inputs
#<alt (/ 1 (* y (/ 2 x)))>
#<alt (/ 1 (cos (/ 1 (* y (/ 2 x)))))>
#<alt (cos (/ 1 (* y (/ 2 x))))>
#<alt (* y (/ 2 x))>
#<alt (+ (* (* x x) (/ 1/8 (* y y))) 1)>
#<alt (* x x)>
#<alt (/ 1/8 (* y y))>
#<alt (* y y)>
#<alt (/ (/ 1 y) (/ 2 x))>
#<alt (/ (tan (/ (/ 1 y) (/ 2 x))) (sin (/ x (* y 2))))>
#<alt (tan (/ (/ 1 y) (/ 2 x)))>
#<alt (/ 1 y)>
#<alt (exp (neg (log (* x 1/2))))>
#<alt (/ (exp (neg (log (* x 1/2)))) (/ 1 y))>
#<alt (/ 1 (/ (exp (neg (log (* x 1/2)))) (/ 1 y)))>
#<alt (/ 1 (cos (/ 1 (/ (exp (neg (log (* x 1/2)))) (/ 1 y)))))>
#<alt (exp (* -1 (log (/ y (* x 1/2)))))>
#<alt (* -1 (log (/ y (* x 1/2))))>
#<alt (/ (tan (exp (* -1 (log (/ y (* x 1/2)))))) (sin (/ (/ 1 y) (/ 2 x))))>
#<alt (sin (/ x (* y 2)))>
#<alt (cos (/ 1 (/ (exp (neg (log (* x 1/2)))) (/ 1 y))))>
#<alt (sin (/ (/ 1 y) (/ 2 x)))>
#<alt (tan (exp (* -1 (log (/ y (* x 1/2))))))>
#<alt (log (/ y (* x 1/2)))>
Outputs
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))>
#<alt (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))>
#<alt (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))>
#<alt (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
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#<alt (* -1 (+ (log (/ 2 x)) (* -1 (log (/ 1 y)))))>
#<alt (* -1 (+ (log (/ -2 x)) (* -1 (log (/ -1 y)))))>
#<alt (* -1 (+ (log (/ -2 x)) (* -1 (log (/ -1 y)))))>
#<alt (* -1 (+ (log (/ -2 x)) (* -1 (log (/ -1 y)))))>
#<alt (* -1 (+ (log (/ -2 x)) (* -1 (log (/ -1 y)))))>
#<alt (* -1 (+ (log (* 2 y)) (* -1 (log x))))>
#<alt (* -1 (+ (log (* 2 y)) (* -1 (log x))))>
#<alt (* -1 (+ (log (* 2 y)) (* -1 (log x))))>
#<alt (* -1 (+ (log (* 2 y)) (* -1 (log x))))>
#<alt (* -1 (+ (log (* 2 y)) (log (/ 1 x))))>
#<alt (* -1 (+ (log (* 2 y)) (log (/ 1 x))))>
#<alt (* -1 (+ (log (* 2 y)) (log (/ 1 x))))>
#<alt (* -1 (+ (log (* 2 y)) (log (/ 1 x))))>
#<alt (* -1 (+ (log (* -2 y)) (log (/ -1 x))))>
#<alt (* -1 (+ (log (* -2 y)) (log (/ -1 x))))>
#<alt (* -1 (+ (log (* -2 y)) (log (/ -1 x))))>
#<alt (* -1 (+ (log (* -2 y)) (log (/ -1 x))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt 1>
#<alt (- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))>
#<alt (- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))>
#<alt 1>
#<alt (- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))>
#<alt (- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))>
#<alt (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (* 1/2 (/ x y))>
#<alt (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (* 1/2 (/ x y))>
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)>
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)>
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)>
#<alt (* 1/2 (/ x y))>
#<alt (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))>
#<alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))>
#<alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))>
#<alt (cos (/ 1 (* y (exp (neg (+ (log 1/2) (log x)))))))>
#<alt (cos (/ 1 (* y (exp (neg (+ (log 1/2) (log x)))))))>
#<alt (cos (/ 1 (* y (exp (neg (+ (log 1/2) (log x)))))))>
#<alt (cos (/ 1 (* y (exp (neg (+ (log 1/2) (log x)))))))>
#<alt (cos (/ 1 (* y (exp (neg (+ (log 1/2) (* -1 (log (/ 1 x)))))))))>
#<alt (cos (/ 1 (* y (exp (neg (+ (log 1/2) (* -1 (log (/ 1 x)))))))))>
#<alt (cos (/ 1 (* y (exp (neg (+ (log 1/2) (* -1 (log (/ 1 x)))))))))>
#<alt (cos (/ 1 (* y (exp (neg (+ (log 1/2) (* -1 (log (/ 1 x)))))))))>
#<alt (cos (/ 1 (* y (exp (neg (+ (log -1/2) (* -1 (log (/ -1 x)))))))))>
#<alt (cos (/ 1 (* y (exp (neg (+ (log -1/2) (* -1 (log (/ -1 x)))))))))>
#<alt (cos (/ 1 (* y (exp (neg (+ (log -1/2) (* -1 (log (/ -1 x)))))))))>
#<alt (cos (/ 1 (* y (exp (neg (+ (log -1/2) (* -1 (log (/ -1 x)))))))))>
#<alt (cos (/ 1 (* y (exp (neg (log (* 1/2 x)))))))>
#<alt (cos (/ 1 (* y (exp (neg (log (* 1/2 x)))))))>
#<alt (cos (/ 1 (* y (exp (neg (log (* 1/2 x)))))))>
#<alt (cos (/ 1 (* y (exp (neg (log (* 1/2 x)))))))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 (* (pow y 2) (pow (exp (neg (log (* 1/2 x)))) 2)))))>
#<alt (- (+ 1 (/ 1/24 (* (pow y 4) (pow (exp (neg (log (* 1/2 x)))) 4)))) (/ 1/2 (* (pow y 2) (pow (exp (neg (log (* 1/2 x)))) 2))))>
#<alt (- (+ 1 (* 1/24 (/ 1 (* (pow y 4) (pow (exp (neg (log (* 1/2 x)))) 4))))) (+ (/ 1/2 (* (pow y 2) (pow (exp (neg (log (* 1/2 x)))) 2))) (* 1/720 (/ 1 (* (pow y 6) (pow (exp (neg (log (* 1/2 x)))) 6))))))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 (* (pow y 2) (pow (exp (neg (log (* 1/2 x)))) 2)))))>
#<alt (- (+ 1 (/ 1/24 (* (pow y 4) (pow (exp (neg (log (* 1/2 x)))) 4)))) (/ 1/2 (* (pow y 2) (pow (exp (neg (log (* 1/2 x)))) 2))))>
#<alt (- (+ 1 (* 1/24 (/ 1 (* (pow y 4) (pow (exp (neg (log (* 1/2 x)))) 4))))) (+ (/ 1/2 (* (pow y 2) (pow (exp (neg (log (* 1/2 x)))) 2))) (* 1/720 (/ 1 (* (pow y 6) (pow (exp (neg (log (* 1/2 x)))) 6))))))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (* 1/2 (/ x y))>
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)>
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)>
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)>
#<alt (* 1/2 (/ x y))>
#<alt (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))>
#<alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))>
#<alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))>
#<alt (* 1/2 (/ x y))>
#<alt (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (* 1/2 (/ x y))>
#<alt (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y)>
#<alt (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/768 (/ (pow x 5) (pow y 4)))))) y)>
#<alt (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5))))) (pow y 6))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (* 1/384 (/ (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 6))))))))) y)>
#<alt (* 1/2 (/ x y))>
#<alt (* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y))>
#<alt (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y))>
#<alt (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y))>
#<alt (* 1/2 (/ x y))>
#<alt (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (+ (log y) (log (/ 2 x)))>
#<alt (+ (log y) (log (/ 2 x)))>
#<alt (+ (log y) (log (/ 2 x)))>
#<alt (+ (log y) (log (/ 2 x)))>
#<alt (+ (log (/ 2 x)) (* -1 (log (/ 1 y))))>
#<alt (+ (log (/ 2 x)) (* -1 (log (/ 1 y))))>
#<alt (+ (log (/ 2 x)) (* -1 (log (/ 1 y))))>
#<alt (+ (log (/ 2 x)) (* -1 (log (/ 1 y))))>
#<alt (+ (log (/ -2 x)) (* -1 (log (/ -1 y))))>
#<alt (+ (log (/ -2 x)) (* -1 (log (/ -1 y))))>
#<alt (+ (log (/ -2 x)) (* -1 (log (/ -1 y))))>
#<alt (+ (log (/ -2 x)) (* -1 (log (/ -1 y))))>
#<alt (+ (log (* 2 y)) (* -1 (log x)))>
#<alt (+ (log (* 2 y)) (* -1 (log x)))>
#<alt (+ (log (* 2 y)) (* -1 (log x)))>
#<alt (+ (log (* 2 y)) (* -1 (log x)))>
#<alt (+ (log (* 2 y)) (log (/ 1 x)))>
#<alt (+ (log (* 2 y)) (log (/ 1 x)))>
#<alt (+ (log (* 2 y)) (log (/ 1 x)))>
#<alt (+ (log (* 2 y)) (log (/ 1 x)))>
#<alt (+ (log (* -2 y)) (log (/ -1 x)))>
#<alt (+ (log (* -2 y)) (log (/ -1 x)))>
#<alt (+ (log (* -2 y)) (log (/ -1 x)))>
#<alt (+ (log (* -2 y)) (log (/ -1 x)))>
Calls

129 calls:

TimeVariablePointExpression
90.0ms
y
@0
(/ (exp (neg (log (* x 1/2)))) (/ 1 y))
19.0ms
x
@0
(exp (neg (log (* x 1/2))))
12.0ms
x
@-inf
(exp (neg (log (* x 1/2))))
6.0ms
x
@inf
(exp (neg (log (* x 1/2))))
1.0ms
x
@-inf
(/ 1 (cos (/ 1 (/ (exp (neg (log (* x 1/2)))) (/ 1 y)))))

rewrite519.0ms (4.4%)

Memory
11.1MiB live, 366.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 970×accelerator-lowering-fma.f32
3 970×accelerator-lowering-fma.f64
3 734×*-lowering-*.f32
3 734×*-lowering-*.f64
2 750×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039142
1189138
2979138
37428138
08414137
Stop Event
1×iter limit
1×node limit
Counts
24 → 1 275
Calls
Call 1
Inputs
(/ 1 (* y (/ 2 x)))
(/ 1 (cos (/ 1 (* y (/ 2 x)))))
(cos (/ 1 (* y (/ 2 x))))
(* y (/ 2 x))
(+ (* (* x x) (/ 1/8 (* y y))) 1)
(* x x)
(/ 1/8 (* y y))
(* y y)
(/ (/ 1 y) (/ 2 x))
(/ (tan (/ (/ 1 y) (/ 2 x))) (sin (/ x (* y 2))))
(tan (/ (/ 1 y) (/ 2 x)))
(/ 1 y)
(exp (neg (log (* x 1/2))))
(/ (exp (neg (log (* x 1/2)))) (/ 1 y))
(/ 1 (/ (exp (neg (log (* x 1/2)))) (/ 1 y)))
(/ 1 (cos (/ 1 (/ (exp (neg (log (* x 1/2)))) (/ 1 y)))))
(exp (* -1 (log (/ y (* x 1/2)))))
(* -1 (log (/ y (* x 1/2))))
(/ (tan (exp (* -1 (log (/ y (* x 1/2)))))) (sin (/ (/ 1 y) (/ 2 x))))
(sin (/ x (* y 2)))
(cos (/ 1 (/ (exp (neg (log (* x 1/2)))) (/ 1 y))))
(sin (/ (/ 1 y) (/ 2 x)))
(tan (exp (* -1 (log (/ y (* x 1/2))))))
(log (/ y (* x 1/2)))
Outputs
(exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(exp.f64 (+.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal -1 binary64) (log.f64 y))))
(exp.f64 (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 y)) (neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))))
(-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) x)) (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y #s(literal -2 binary64))) (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))
(neg.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 1/2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/.f64 #s(literal -1 binary64) (*.f64 y (/.f64 #s(literal -2 binary64) x)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -2 binary64) x))
(/.f64 (*.f64 x #s(literal -1/2 binary64)) (neg.f64 y))
(/.f64 (neg.f64 x) (*.f64 y #s(literal -2 binary64)))
(/.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 (/.f64 x (neg.f64 y)) #s(literal -2 binary64))
(/.f64 #s(literal -1/2 binary64) (/.f64 y (neg.f64 x)))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 y)))
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(/.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (log.f64 (neg.f64 y)) (log.f64 (neg.f64 y)) (fma.f64 (log.f64 (*.f64 x #s(literal -1/2 binary64))) (log.f64 (*.f64 x #s(literal -1/2 binary64))) (*.f64 (log.f64 (neg.f64 y)) (log.f64 (*.f64 x #s(literal -1/2 binary64)))))))
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(*.f64 #s(literal 1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(*.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (log.f64 y) #s(literal 2 binary64)))))
(*.f64 (*.f64 (log.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))))))

simplify545.0ms (4.6%)

Memory
16.7MiB live, 761.6MiB allocated
Algorithm
1×egg-herbie
Rules
10 638×accelerator-lowering-fma.f32
10 638×accelerator-lowering-fma.f64
5 318×*-lowering-*.f32
5 318×*-lowering-*.f64
4 114×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04636758
113466602
243726406
086456118
Stop Event
1×iter limit
1×node limit
Counts
516 → 516
Calls
Call 1
Inputs
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(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y))
(/.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/48 binary64) (*.f64 y y)) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 x #s(literal -1/2 binary64)))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/16 binary64) (*.f64 y y)) (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/768 binary64)) (pow.f64 y #s(literal 4 binary64)))))) (neg.f64 y))
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y))
(/.f64 (-.f64 (fma.f64 x #s(literal -1/2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/48 binary64) (*.f64 y y)) (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal 1/645120 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (pow.f64 y #s(literal 4 binary64)))))) (fma.f64 #s(literal -1/8 binary64) (fma.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal -1/8 binary64)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/768 binary64)))) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/24 binary64)) (pow.f64 y #s(literal 4 binary64))))) (fma.f64 #s(literal -1/768 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/384 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/24 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/16 binary64) (*.f64 y y)) (/.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/92160 binary64)) (pow.f64 y #s(literal 6 binary64)))))))) (neg.f64 y))
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(*.f64 x (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)))
(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 #s(literal 1/240 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y)))
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 17/40320 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 1/240 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y)))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/.f64 (sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/.f64 (sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/.f64 (sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/.f64 (sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/.f64 (sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/.f64 (sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/.f64 (sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/.f64 (sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(+ (log y) (log (/ 2 x)))
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(+ (log y) (log (/ 2 x)))
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(+ (log y) (log (/ 2 x)))
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(+ (log y) (log (/ 2 x)))
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(+ (log (/ 2 x)) (* -1 (log (/ 1 y))))
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(+ (log (/ 2 x)) (* -1 (log (/ 1 y))))
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(+ (log (/ 2 x)) (* -1 (log (/ 1 y))))
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(+ (log (/ 2 x)) (* -1 (log (/ 1 y))))
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(+ (log (/ -2 x)) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 (/.f64 #s(literal -2 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log (/ -2 x)) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 (/.f64 #s(literal -2 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log (/ -2 x)) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 (/.f64 #s(literal -2 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log (/ -2 x)) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 (/.f64 #s(literal -2 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log (* 2 y)) (* -1 (log x)))
(-.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) (log.f64 x))
(+ (log (* 2 y)) (* -1 (log x)))
(-.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) (log.f64 x))
(+ (log (* 2 y)) (* -1 (log x)))
(-.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) (log.f64 x))
(+ (log (* 2 y)) (* -1 (log x)))
(-.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) (log.f64 x))
(+ (log (* 2 y)) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) (log.f64 x))
(+ (log (* 2 y)) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) (log.f64 x))
(+ (log (* 2 y)) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) (log.f64 x))
(+ (log (* 2 y)) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) (log.f64 x))
(+ (log (* -2 y)) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (*.f64 y #s(literal -2 binary64))))
(+ (log (* -2 y)) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (*.f64 y #s(literal -2 binary64))))
(+ (log (* -2 y)) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (*.f64 y #s(literal -2 binary64))))
(+ (log (* -2 y)) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (*.f64 y #s(literal -2 binary64))))

eval305.0ms (2.6%)

Memory
29.3MiB live, 612.6MiB allocated
Compiler

Compiled 37 124 to 3 637 computations (90.2% saved)

prune373.0ms (3.2%)

Memory
-26.8MiB live, 794.5MiB allocated
Pruning

116 alts after pruning (109 fresh and 7 done)

PrunedKeptTotal
New1 925451 970
Fresh186482
Picked145
Done134
Total1 9451162 061
Accuracy
66.9%
Counts
2 061 → 116
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶57.0%
(fma.f64 (/.f64 x y) (/.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 1 binary64))
✓46.5%
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))
59.4%
(pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
59.4%
(pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
57.9%
(pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
58.4%
(pow.f64 (/.f64 (+.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) y) (/.f64 x (*.f64 y #s(literal 2 binary64))))) (cos.f64 (-.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))) (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
59.4%
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))))) #s(literal -1/2 binary64))
58.1%
(pow.f64 (*.f64 (cos.f64 (pow.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64))) (*.f64 (log.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)))) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal -1/2 binary64))
58.0%
(pow.f64 (*.f64 (cos.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x))))) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal -1/2 binary64))
58.2%
(pow.f64 (*.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))))) #s(literal -1/2 binary64))
▶58.2%
(pow.f64 (*.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64))
57.2%
(pow.f64 (*.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 1 binary64)) #s(literal -1/2 binary64))
46.3%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.2%
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.6%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
47.7%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.9%
(/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
42.0%
(/.f64 (tan.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y x))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.5%
(/.f64 (tan.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 y)) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.0%
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
45.9%
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
✓48.5%
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
30.4%
(/.f64 (tan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 y #s(literal -2 binary64))) (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 y #s(literal -2 binary64)) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
22.8%
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
31.3%
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
25.6%
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
24.5%
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
25.3%
(/.f64 (tan.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.5%
(/.f64 (tan.f64 (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 y))) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
▶20.5%
(/.f64 (tan.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 y y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.5%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
6.4%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))))
48.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
23.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))))))
24.1%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)))
13.9%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))))
25.2%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y))))
✓49.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))))
15.4%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y y))))) (*.f64 #s(literal 4 binary64) (*.f64 y y)))))
22.7%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (*.f64 y #s(literal 2 binary64)))))
48.7%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
42.2%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))))
44.5%
(/.f64 (tan.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (*.f64 y #s(literal 2 binary64)))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.4%
(/.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 2 binary64) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.7%
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
2.7%
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
48.4%
(/.f64 (tan.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.8%
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))))
44.7%
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
48.8%
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.3%
(/.f64 (tan.f64 (exp.f64 (fma.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (log.f64 y))))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
31.5%
(/.f64 (tan.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))) (neg.f64 (fma.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (pow.f64 (log.f64 y) #s(literal 2 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.5%
(/.f64 (tan.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (log.f64 y))))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
42.0%
(/.f64 (tan.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
41.8%
(/.f64 (tan.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (pow.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64))) (*.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))))
42.0%
(/.f64 (tan.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y x))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 1/2 binary64))))))
40.9%
(/.f64 (tan.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 y)) (/.f64 #s(literal 2 binary64) x))))
41.3%
(/.f64 (tan.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 y))) (/.f64 #s(literal 2 binary64) x))))
42.0%
(/.f64 (tan.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))))))
42.4%
(/.f64 (tan.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
43.4%
(/.f64 (tan.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (exp.f64 (+.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal -1 binary64) (log.f64 y))))))
46.4%
(/.f64 (tan.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
44.8%
(/.f64 (tan.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
47.7%
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)))
48.7%
(/.f64 (sin.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (neg.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
5.7%
(/.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 3 binary64))) (*.f64 (neg.f64 (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))))
47.4%
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64)))
47.8%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))))))
46.3%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))))
60.9%
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (pow.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
60.5%
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64))) (*.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))))
60.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
60.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))))
61.0%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y x))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 1/2 binary64))))))
60.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) y)))
60.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
60.5%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))))))
✓60.7%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
59.7%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))) y)))
60.8%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) y)))))
▶61.2%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))))))
60.5%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) y)))))
60.9%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) (pow.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64))))))
60.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 x)))))
60.4%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))))) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))))))))
60.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) y)))))
60.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))))
60.3%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) y)))))
60.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))))))
60.1%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 y))))))
✓60.5%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) y)))))
60.3%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 y) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 y) #s(literal 2 binary64))))))))
60.4%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))) (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 y)))))))
60.2%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (log.f64 (/.f64 y x))) #s(literal 1/2 binary64)))))
60.3%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (/.f64 #s(literal -1/2 binary64) y))))))
60.5%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))) #s(literal -1 binary64))))))
60.9%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (log.f64 y)) (/.f64 #s(literal 2 binary64) x)))))
✓60.9%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 2 binary64) x)))))
60.7%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 y)))))))
60.8%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))))
60.7%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
60.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) x)))))
60.2%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))))))
60.2%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))))))
60.5%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
60.4%
(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (+.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal -1 binary64) (log.f64 y))))))
60.8%
(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
▶46.0%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (sin.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))))
58.6%
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) #s(literal -1/2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
5.7%
(*.f64 (/.f64 (tan.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (neg.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
6.4%
(*.f64 (/.f64 (tan.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
46.3%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
46.3%
(*.f64 (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
46.3%
(*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))))
✓60.5%
#s(literal 1 binary64)
Compiler

Compiled 4 494 to 3 115 computations (30.7% saved)

simplify212.0ms (1.8%)

Memory
18.3MiB live, 292.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
✓cost-diff0
(*.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
✓cost-diff0
(pow.f64 (*.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64))
✓cost-diff12800
(exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓cost-diff0
(/.f64 (tan.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 y y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓cost-diff192
(-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64)))
✓cost-diff1984
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 y y)))
✓cost-diff5824
(pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64))
✓cost-diff0
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (sin.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))))
✓cost-diff704
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (sin.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))))
✓cost-diff0
(*.f64 y #s(literal 8 binary64))
✓cost-diff0
(/.f64 x (*.f64 y #s(literal 8 binary64)))
✓cost-diff0
(/.f64 x y)
✓cost-diff384
(fma.f64 (/.f64 x y) (/.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 1 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))))))
✓cost-diff384
(/.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 y #s(literal -1/2 binary64)))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))))
✓cost-diff13632
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
Rules
6 110×*-lowering-*.f32
6 110×*-lowering-*.f64
1 784×/-lowering-/.f32
1 784×/-lowering-/.f64
1 736×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051387
1102332
2264302
31531278
45010277
08123276
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (cos (/ 1 (/ (/ (/ 2 x) (pow y -1/2)) (pow y -1/2)))))
1
(cos (/ 1 (/ (/ (/ 2 x) (pow y -1/2)) (pow y -1/2))))
(/ 1 (/ (/ (/ 2 x) (pow y -1/2)) (pow y -1/2)))
(/ (/ (/ 2 x) (pow y -1/2)) (pow y -1/2))
(/ (/ 2 x) (pow y -1/2))
(/ 2 x)
2
x
(pow y -1/2)
y
-1/2
(+ (* (/ x y) (/ x (* y 8))) 1)
(/ x y)
x
y
(/ x (* y 8))
(* y 8)
8
1
(/ -1 (* (/ 1 (tan (/ x (* y 2)))) (sin (* x (/ -1/2 y)))))
-1
(* (/ 1 (tan (/ x (* y 2)))) (sin (* x (/ -1/2 y))))
(/ 1 (tan (/ x (* y 2))))
1
(tan (/ x (* y 2)))
(/ x (* y 2))
x
(* y 2)
y
2
(sin (* x (/ -1/2 y)))
(* x (/ -1/2 y))
(/ -1/2 y)
-1/2
(/ (tan (/ x (/ (- 0 (pow (* y -2) 3)) (* 4 (* y y))))) (sin (/ x (* y 2))))
(tan (/ x (/ (- 0 (pow (* y -2) 3)) (* 4 (* y y)))))
(/ x (/ (- 0 (pow (* y -2) 3)) (* 4 (* y y))))
x
(/ (- 0 (pow (* y -2) 3)) (* 4 (* y y)))
(- 0 (pow (* y -2) 3))
0
(pow (* y -2) 3)
(* y -2)
y
-2
3
(* 4 (* y y))
4
(* y y)
(sin (/ x (* y 2)))
(/ x (* y 2))
(* y 2)
2
(pow (* (cos (/ (* x 1/2) y)) (cos (exp (log (/ x (* y 2)))))) -1/2)
(* (cos (/ (* x 1/2) y)) (cos (exp (log (/ x (* y 2))))))
(cos (/ (* x 1/2) y))
(/ (* x 1/2) y)
(* x 1/2)
x
1/2
y
(cos (exp (log (/ x (* y 2)))))
(exp (log (/ x (* y 2))))
(log (/ x (* y 2)))
(/ x (* y 2))
(* y 2)
2
-1/2
Outputs
(/ 1 (cos (/ 1 (/ (/ (/ 2 x) (pow y -1/2)) (pow y -1/2)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))
1
#s(literal 1 binary64)
(cos (/ 1 (/ (/ (/ 2 x) (pow y -1/2)) (pow y -1/2))))
(cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))
(/ 1 (/ (/ (/ 2 x) (pow y -1/2)) (pow y -1/2)))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
(/ (/ (/ 2 x) (pow y -1/2)) (pow y -1/2))
(/.f64 (*.f64 #s(literal 2 binary64) y) x)
(/ (/ 2 x) (pow y -1/2))
(/.f64 #s(literal 2 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
x
(pow y -1/2)
(pow.f64 y #s(literal -1/2 binary64))
y
-1/2
#s(literal -1/2 binary64)
(+ (* (/ x y) (/ x (* y 8))) 1)
(fma.f64 x (/.f64 x (*.f64 y (*.f64 y #s(literal 8 binary64)))) #s(literal 1 binary64))
(/ x y)
(/.f64 x y)
x
y
(/ x (* y 8))
(/.f64 x (*.f64 y #s(literal 8 binary64)))
(* y 8)
(*.f64 y #s(literal 8 binary64))
8
#s(literal 8 binary64)
1
#s(literal 1 binary64)
(/ -1 (* (/ 1 (tan (/ x (* y 2)))) (sin (* x (/ -1/2 y)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (sin.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))))
-1
#s(literal -1 binary64)
(* (/ 1 (tan (/ x (* y 2)))) (sin (* x (/ -1/2 y))))
(/.f64 (sin.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))
(/ 1 (tan (/ x (* y 2))))
(/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))
1
#s(literal 1 binary64)
(tan (/ x (* y 2)))
(tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))
(/ x (* y 2))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
x
(* y 2)
(*.f64 #s(literal 2 binary64) y)
y
2
#s(literal 2 binary64)
(sin (* x (/ -1/2 y)))
(sin.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))
(* x (/ -1/2 y))
(*.f64 x (/.f64 #s(literal -1/2 binary64) y))
(/ -1/2 y)
(/.f64 #s(literal -1/2 binary64) y)
-1/2
#s(literal -1/2 binary64)
(/ (tan (/ x (/ (- 0 (pow (* y -2) 3)) (* 4 (* y y))))) (sin (/ x (* y 2))))
(/.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))
(tan (/ x (/ (- 0 (pow (* y -2) 3)) (* 4 (* y y)))))
(tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))
(/ x (/ (- 0 (pow (* y -2) 3)) (* 4 (* y y))))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
x
(/ (- 0 (pow (* y -2) 3)) (* 4 (* y y)))
(*.f64 #s(literal 2 binary64) y)
(- 0 (pow (* y -2) 3))
(*.f64 y (*.f64 y (*.f64 y #s(literal 8 binary64))))
0
#s(literal 0 binary64)
(pow (* y -2) 3)
(*.f64 y (*.f64 y (*.f64 y #s(literal -8 binary64))))
(* y -2)
(*.f64 y #s(literal -2 binary64))
y
-2
#s(literal -2 binary64)
3
#s(literal 3 binary64)
(* 4 (* y y))
(*.f64 y (*.f64 y #s(literal 4 binary64)))
4
#s(literal 4 binary64)
(* y y)
(*.f64 y y)
(sin (/ x (* y 2)))
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))
(/ x (* y 2))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
(* y 2)
(*.f64 #s(literal 2 binary64) y)
2
#s(literal 2 binary64)
(pow (* (cos (/ (* x 1/2) y)) (cos (exp (log (/ x (* y 2)))))) -1/2)
(pow.f64 (*.f64 (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1/2 binary64))
(* (cos (/ (* x 1/2) y)) (cos (exp (log (/ x (* y 2))))))
(*.f64 (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))
(cos (/ (* x 1/2) y))
(cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))
(/ (* x 1/2) y)
(/.f64 x (*.f64 #s(literal 2 binary64) y))
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
x
1/2
#s(literal 1/2 binary64)
y
(cos (exp (log (/ x (* y 2)))))
(cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))
(exp (log (/ x (* y 2))))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
(log (/ x (* y 2)))
(log.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))
(/ x (* y 2))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
(* y 2)
(*.f64 #s(literal 2 binary64) y)
2
#s(literal 2 binary64)
-1/2
#s(literal -1/2 binary64)

localize294.0ms (2.5%)

Memory
-7.5MiB live, 624.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy93.9%
(exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓accuracy74.4%
(log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
✓accuracy60.9%
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
✓accuracy60.9%
(cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
✓accuracy88.4%
(/.f64 (tan.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 y y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓accuracy61.1%
(tan.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 y y)))))
✓accuracy60.8%
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
✓accuracy34.5%
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 y y)))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓accuracy85.3%
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (sin.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))))
✓accuracy61.1%
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
✓accuracy60.8%
(sin.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))
✓accuracy100.0%
(/.f64 x (*.f64 y #s(literal 8 binary64)))
✓accuracy100.0%
(/.f64 x y)
✓accuracy100.0%
(*.f64 y #s(literal 8 binary64))
✓accuracy99.9%
(fma.f64 (/.f64 x y) (/.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 1 binary64))
✓accuracy99.6%
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
✓accuracy99.1%
(/.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 y #s(literal -1/2 binary64)))
✓accuracy98.9%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))))
✓accuracy60.9%
(cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))))
Samples
135.0ms106×1valid
69.0ms149×0valid
1.0ms1×2valid
Compiler

Compiled 364 to 53 computations (85.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 167.0ms
ival-div: 39.0ms (23.3% of total)
ival-pow: 33.0ms (19.7% of total)
ival-mult: 25.0ms (14.9% of total)
ival-cos: 22.0ms (13.2% of total)
ival-tan: 10.0ms (6% of total)
ival-log: 10.0ms (6% of total)
ival-sin: 10.0ms (6% of total)
ival-exp: 8.0ms (4.8% of total)
adjust: 5.0ms (3% of total)
ival-sub: 2.0ms (1.2% of total)
ival-add: 2.0ms (1.2% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series222.0ms (1.9%)

Memory
0.1MiB live, 342.9MiB allocated
Counts
26 → 576
Calls
Call 1
Inputs
#<alt (/ (/ (/ 2 x) (pow y -1/2)) (pow y -1/2))>
#<alt (/ 1 (/ (/ (/ 2 x) (pow y -1/2)) (pow y -1/2)))>
#<alt (/ (/ 2 x) (pow y -1/2))>
#<alt (/ 1 (cos (/ 1 (/ (/ (/ 2 x) (pow y -1/2)) (pow y -1/2)))))>
#<alt (+ (* (/ x y) (/ x (* y 8))) 1)>
#<alt (/ x y)>
#<alt (/ x (* y 8))>
#<alt (* y 8)>
#<alt (/ -1 (* (/ 1 (tan (/ x (* y 2)))) (sin (* x (/ -1/2 y)))))>
#<alt (* (/ 1 (tan (/ x (* y 2)))) (sin (* x (/ -1/2 y))))>
#<alt (/ 1 (tan (/ x (* y 2))))>
#<alt (tan (/ x (* y 2)))>
#<alt (pow (* y -2) 3)>
#<alt (/ (- 0 (pow (* y -2) 3)) (* 4 (* y y)))>
#<alt (- 0 (pow (* y -2) 3))>
#<alt (/ (tan (/ x (/ (- 0 (pow (* y -2) 3)) (* 4 (* y y))))) (sin (/ x (* y 2))))>
#<alt (exp (log (/ x (* y 2))))>
#<alt (pow (* (cos (/ (* x 1/2) y)) (cos (exp (log (/ x (* y 2)))))) -1/2)>
#<alt (* (cos (/ (* x 1/2) y)) (cos (exp (log (/ x (* y 2))))))>
#<alt (cos (/ (* x 1/2) y))>
#<alt (cos (/ 1 (/ (/ (/ 2 x) (pow y -1/2)) (pow y -1/2))))>
#<alt (sin (* x (/ -1/2 y)))>
#<alt (sin (/ x (* y 2)))>
#<alt (tan (/ x (/ (- 0 (pow (* y -2) 3)) (* 4 (* y y)))))>
#<alt (cos (exp (log (/ x (* y 2)))))>
#<alt (log (/ x (* y 2)))>
Outputs
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* -2 (/ y (* x (pow (sqrt -1) 2))))>
#<alt (* -2 (/ y (* x (pow (sqrt -1) 2))))>
#<alt (* -2 (/ y (* x (pow (sqrt -1) 2))))>
#<alt (* -2 (/ y (* x (pow (sqrt -1) 2))))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* -1/2 (/ (* x (pow (sqrt -1) 2)) y))>
#<alt (* -1/2 (/ (* x (pow (sqrt -1) 2)) y))>
#<alt (* -1/2 (/ (* x (pow (sqrt -1) 2)) y))>
#<alt (* -1/2 (/ (* x (pow (sqrt -1) 2)) y))>
#<alt (* 2 (* (/ 1 x) (sqrt y)))>
#<alt (* 2 (* (/ 1 x) (sqrt y)))>
#<alt (* 2 (* (/ 1 x) (sqrt y)))>
#<alt (* 2 (* (/ 1 x) (sqrt y)))>
#<alt (* 2 (* (/ 1 x) (sqrt y)))>
#<alt (* 2 (* (/ 1 x) (sqrt y)))>
#<alt (* 2 (* (/ 1 x) (sqrt y)))>
#<alt (* 2 (* (/ 1 x) (sqrt y)))>
#<alt (* 2 (* (/ 1 x) (sqrt y)))>
#<alt (* 2 (* (/ 1 x) (sqrt y)))>
#<alt (* 2 (* (/ 1 x) (sqrt y)))>
#<alt (* 2 (* (/ 1 x) (sqrt y)))>
#<alt (* 2 (* (/ 1 x) (sqrt y)))>
#<alt (* 2 (* (/ 1 x) (sqrt y)))>
#<alt (* 2 (* (/ 1 x) (sqrt y)))>
#<alt (* 2 (* (/ 1 x) (sqrt y)))>
#<alt (* 2 (* (/ 1 x) (sqrt y)))>
#<alt (* 2 (* (/ 1 x) (sqrt y)))>
#<alt (* 2 (* (/ 1 x) (sqrt y)))>
#<alt (* 2 (* (/ 1 x) (sqrt y)))>
#<alt (* -2 (* (/ 1 x) (sqrt y)))>
#<alt (* -2 (* (/ 1 x) (sqrt y)))>
#<alt (* -2 (* (/ 1 x) (sqrt y)))>
#<alt (* -2 (* (/ 1 x) (sqrt y)))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))>
#<alt (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (* (pow x 2) (pow (sqrt -1) 4)) (pow y 2))))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1/64 (* (pow x 4) (pow (sqrt -1) 8))) (* 1/384 (* (pow x 4) (pow (sqrt -1) 8)))) (pow y 4)))) (* -1/8 (/ (* (pow x 2) (pow (sqrt -1) 4)) (pow y 2))))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1/46080 (* (pow x 6) (pow (sqrt -1) 12))) (+ (* 1/3072 (* (pow x 6) (pow (sqrt -1) 12))) (* 1/8 (* (pow x 2) (* (pow (sqrt -1) 4) (+ (* -1/64 (* (pow x 4) (pow (sqrt -1) 8))) (* 1/384 (* (pow x 4) (pow (sqrt -1) 8))))))))) (pow y 6)))) (+ (* -1/8 (/ (* (pow x 2) (pow (sqrt -1) 4)) (pow y 2))) (+ (* -1/64 (/ (* (pow x 4) (pow (sqrt -1) 8)) (pow y 4))) (* 1/384 (/ (* (pow x 4) (pow (sqrt -1) 8)) (pow y 4))))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))>
#<alt (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))>
#<alt (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 8 y)>
#<alt (* 8 y)>
#<alt (* 8 y)>
#<alt (* 8 y)>
#<alt (* 8 y)>
#<alt (* 8 y)>
#<alt (* 8 y)>
#<alt (* 8 y)>
#<alt (* 8 y)>
#<alt (* 8 y)>
#<alt (* 8 y)>
#<alt (* 8 y)>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))>
#<alt (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))>
#<alt (* -1 (/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (* -1/2 (/ x y))))))>
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#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))>
#<alt (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))>
#<alt (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))>
#<alt (+ (log x) (log (/ 1/2 y)))>
#<alt (+ (log x) (log (/ 1/2 y)))>
#<alt (+ (log x) (log (/ 1/2 y)))>
#<alt (+ (log x) (log (/ 1/2 y)))>
#<alt (+ (log (/ 1/2 y)) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ 1/2 y)) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ 1/2 y)) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ 1/2 y)) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ -1/2 y)) (* -1 (log (/ -1 x))))>
#<alt (+ (log (/ -1/2 y)) (* -1 (log (/ -1 x))))>
#<alt (+ (log (/ -1/2 y)) (* -1 (log (/ -1 x))))>
#<alt (+ (log (/ -1/2 y)) (* -1 (log (/ -1 x))))>
#<alt (+ (log (* 1/2 x)) (* -1 (log y)))>
#<alt (+ (log (* 1/2 x)) (* -1 (log y)))>
#<alt (+ (log (* 1/2 x)) (* -1 (log y)))>
#<alt (+ (log (* 1/2 x)) (* -1 (log y)))>
#<alt (+ (log (* 1/2 x)) (log (/ 1 y)))>
#<alt (+ (log (* 1/2 x)) (log (/ 1 y)))>
#<alt (+ (log (* 1/2 x)) (log (/ 1 y)))>
#<alt (+ (log (* 1/2 x)) (log (/ 1 y)))>
#<alt (+ (log (* -1/2 x)) (log (/ -1 y)))>
#<alt (+ (log (* -1/2 x)) (log (/ -1 y)))>
#<alt (+ (log (* -1/2 x)) (log (/ -1 y)))>
#<alt (+ (log (* -1/2 x)) (log (/ -1 y)))>
Calls

144 calls:

TimeVariablePointExpression
52.0ms
x
@0
(log (/ x (* y 2)))
41.0ms
y
@inf
(* y 8)
30.0ms
x
@inf
(log (/ x (* y 2)))
15.0ms
y
@-inf
(log (/ x (* y 2)))
14.0ms
x
@-inf
(log (/ x (* y 2)))

rewrite117.0ms (1%)

Memory
12.5MiB live, 224.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
1 168×/-lowering-/.f32
1 168×/-lowering-/.f64
1 082×*-lowering-*.f32
1 082×*-lowering-*.f64
428×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051253
1261203
01955202
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
26 → 456
Calls
Call 1
Inputs
(/ (/ (/ 2 x) (pow y -1/2)) (pow y -1/2))
(/ 1 (/ (/ (/ 2 x) (pow y -1/2)) (pow y -1/2)))
(/ (/ 2 x) (pow y -1/2))
(/ 1 (cos (/ 1 (/ (/ (/ 2 x) (pow y -1/2)) (pow y -1/2)))))
(+ (* (/ x y) (/ x (* y 8))) 1)
(/ x y)
(/ x (* y 8))
(* y 8)
(/ -1 (* (/ 1 (tan (/ x (* y 2)))) (sin (* x (/ -1/2 y)))))
(* (/ 1 (tan (/ x (* y 2)))) (sin (* x (/ -1/2 y))))
(/ 1 (tan (/ x (* y 2))))
(tan (/ x (* y 2)))
(pow (* y -2) 3)
(/ (- 0 (pow (* y -2) 3)) (* 4 (* y y)))
(- 0 (pow (* y -2) 3))
(/ (tan (/ x (/ (- 0 (pow (* y -2) 3)) (* 4 (* y y))))) (sin (/ x (* y 2))))
(exp (log (/ x (* y 2))))
(pow (* (cos (/ (* x 1/2) y)) (cos (exp (log (/ x (* y 2)))))) -1/2)
(* (cos (/ (* x 1/2) y)) (cos (exp (log (/ x (* y 2))))))
(cos (/ (* x 1/2) y))
(cos (/ 1 (/ (/ (/ 2 x) (pow y -1/2)) (pow y -1/2))))
(sin (* x (/ -1/2 y)))
(sin (/ x (* y 2)))
(tan (/ x (/ (- 0 (pow (* y -2) 3)) (* 4 (* y y)))))
(cos (exp (log (/ x (* y 2)))))
(log (/ x (* y 2)))
Outputs
(neg.f64 (neg.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 2 binary64) (/.f64 x y))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))))
(/.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) y))
(/.f64 y (*.f64 x #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))) (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(literal 2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))
(/.f64 (*.f64 #s(literal 2 binary64) y) x)
(/.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 x)))
(/.f64 (*.f64 y #s(literal -2 binary64)) (neg.f64 x))
(/.f64 (/.f64 #s(literal -2 binary64) x) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(/.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 y) (*.f64 x #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal -2 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (/.f64 #s(literal -2 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))) (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(/.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 (/.f64 y x) #s(literal 1/2 binary64))
(/.f64 (pow.f64 y #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (/.f64 y #s(literal 1/2 binary64)) x)
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 1/2 binary64))) (*.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64)))
(pow.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 y x))
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 y #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 (pow.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 y #s(literal -1/4 binary64))) (/.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal -1/4 binary64))))
(exp.f64 (log.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal -2 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 x) (*.f64 y #s(literal -2 binary64)))
(/.f64 (*.f64 x #s(literal -1/2 binary64)) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 y #s(literal 1/2 binary64)))
(/.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))))
(/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) y))
(/.f64 (neg.f64 (*.f64 x #s(literal -1/2 binary64))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (*.f64 y #s(literal -2 binary64))))
(/.f64 (neg.f64 (/.f64 x y)) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)
(/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))))
(pow.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(literal 2 binary64) y)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 (pow.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64))))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) x)) (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal 1/2 binary64))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -2 binary64) x)) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64))))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))
(neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64))))))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))))
(/.f64 #s(literal -2 binary64) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 x)))
(/.f64 (/.f64 #s(literal -2 binary64) x) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (pow.f64 y #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1/2 binary64))) x)
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 1/2 binary64))) x)
(/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 1/2 binary64))) (neg.f64 x))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 y #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) x))
(*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal -1/4 binary64))))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))))
(pow.f64 (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))
(pow.f64 (*.f64 (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (*.f64 (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) #s(literal -1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))))
(*.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64)))
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(pow.f64 (*.f64 (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1/2 binary64))
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(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (log.f64 x) (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) (log.f64 (*.f64 #s(literal 2 binary64) y)) (*.f64 (log.f64 x) (log.f64 (*.f64 #s(literal 2 binary64) y))))))
(/.f64 (-.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) (log.f64 (*.f64 #s(literal 2 binary64) y)))) (+.f64 (log.f64 x) (log.f64 (*.f64 #s(literal 2 binary64) y))))

simplify529.0ms (4.5%)

Memory
6.5MiB live, 803.2MiB allocated
Algorithm
1×egg-herbie
Rules
10 000×accelerator-lowering-fma.f32
10 000×accelerator-lowering-fma.f64
6 156×*-lowering-*.f32
6 156×*-lowering-*.f64
4 700×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07589058
123288915
083308514
Stop Event
1×iter limit
1×node limit
Counts
576 → 576
Calls
Call 1
Inputs
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1
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1
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1
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1
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1
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1
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1
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1
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1
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Outputs
(* 2 (/ y x))
(/.f64 (*.f64 #s(literal 2 binary64) y) x)
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(/.f64 (*.f64 #s(literal 2 binary64) y) x)
(* 2 (/ y x))
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(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1/48 binary64) (*.f64 y y)) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (*.f64 y y)))) y)
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/768 (/ (pow x 5) (pow y 4)))))) y)
(/.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1/48 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 x #s(literal 1/2 binary64)))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 1/768 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/16 binary64)) (*.f64 y y))))) y)
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5))))) (pow y 6))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (* 1/384 (/ (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 6))))))))) y)
(/.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1/48 binary64) (*.f64 y y)) (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal -1/645120 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 x #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/8 binary64) (fma.f64 x (*.f64 x (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/768 binary64)))) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (fma.f64 #s(literal 1/384 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 1/768 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/92160 binary64)) (pow.f64 y #s(literal 6 binary64)))))))) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y))
(/.f64 (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) #s(literal -1/24 binary64) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 y))
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y))
(/.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/48 binary64) (*.f64 y y)) (*.f64 x #s(literal -1/2 binary64)))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/24 binary64))))) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/768 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (*.f64 y y))))) (neg.f64 y))
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y))
(/.f64 (-.f64 (fma.f64 x #s(literal -1/2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/48 binary64) (*.f64 y y)) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/645120 binary64)) (pow.f64 y #s(literal 6 binary64)))))) (fma.f64 #s(literal -1/8 binary64) (fma.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) #s(literal -1/8 binary64)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/768 binary64)))) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/24 binary64))))) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/768 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/384 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/16 binary64) (*.f64 y y)) (/.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/92160 binary64)) (pow.f64 y #s(literal 6 binary64)))))))) (neg.f64 y))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal -1/8 binary64) (*.f64 y y))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/46080 binary64) (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal -1/8 binary64) (*.f64 y y))) #s(literal 1 binary64))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))
(+.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal -1/46080 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 y y))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))
(+.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal -1/46080 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 y y))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))
(+ (log x) (log (/ 1/2 y)))
(+.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 1/2 binary64) y)))
(+ (log x) (log (/ 1/2 y)))
(+.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 1/2 binary64) y)))
(+ (log x) (log (/ 1/2 y)))
(+.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 1/2 binary64) y)))
(+ (log x) (log (/ 1/2 y)))
(+.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 1/2 binary64) y)))
(+ (log (/ 1/2 y)) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 1/2 binary64) y)))
(+ (log (/ 1/2 y)) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 1/2 binary64) y)))
(+ (log (/ 1/2 y)) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 1/2 binary64) y)))
(+ (log (/ 1/2 y)) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 1/2 binary64) y)))
(+ (log (/ -1/2 y)) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log (/ -1/2 y)) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log (/ -1/2 y)) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log (/ -1/2 y)) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log (* 1/2 x)) (* -1 (log y)))
(-.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 y))
(+ (log (* 1/2 x)) (* -1 (log y)))
(-.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 y))
(+ (log (* 1/2 x)) (* -1 (log y)))
(-.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 y))
(+ (log (* 1/2 x)) (* -1 (log y)))
(-.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 y))
(+ (log (* 1/2 x)) (log (/ 1 y)))
(-.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 y))
(+ (log (* 1/2 x)) (log (/ 1 y)))
(-.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 y))
(+ (log (* 1/2 x)) (log (/ 1 y)))
(-.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 y))
(+ (log (* 1/2 x)) (log (/ 1 y)))
(-.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 y))
(+ (log (* -1/2 x)) (log (/ -1 y)))
(+.f64 (log.f64 (*.f64 x #s(literal -1/2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log (* -1/2 x)) (log (/ -1 y)))
(+.f64 (log.f64 (*.f64 x #s(literal -1/2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log (* -1/2 x)) (log (/ -1 y)))
(+.f64 (log.f64 (*.f64 x #s(literal -1/2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log (* -1/2 x)) (log (/ -1 y)))
(+.f64 (log.f64 (*.f64 x #s(literal -1/2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y)))

eval304.0ms (2.6%)

Memory
2.4MiB live, 270.7MiB allocated
Compiler

Compiled 22 078 to 2 434 computations (89% saved)

prune295.0ms (2.5%)

Memory
2.2MiB live, 488.9MiB allocated
Pruning

129 alts after pruning (117 fresh and 12 done)

PrunedKeptTotal
New1 016161 032
Fresh3101104
Picked055
Done077
Total1 0191291 148
Accuracy
66.9%
Counts
1 148 → 129
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓57.0%
(fma.f64 (/.f64 x y) (/.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 1 binary64))
✓46.5%
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))
59.4%
(pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
59.4%
(pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
57.9%
(pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
58.4%
(pow.f64 (/.f64 (+.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) y) (/.f64 x (*.f64 y #s(literal 2 binary64))))) (cos.f64 (-.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))) (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
49.0%
(pow.f64 (/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) #s(literal -1 binary64))
59.4%
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))))) #s(literal -1/2 binary64))
58.2%
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64))
58.1%
(pow.f64 (*.f64 (cos.f64 (pow.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64))) (*.f64 (log.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)))) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal -1/2 binary64))
58.0%
(pow.f64 (*.f64 (cos.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x))))) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal -1/2 binary64))
58.2%
(pow.f64 (*.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))))) #s(literal -1/2 binary64))
✓58.2%
(pow.f64 (*.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64))
57.2%
(pow.f64 (*.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 1 binary64)) #s(literal -1/2 binary64))
57.4%
(pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64))
46.3%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.2%
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.6%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
47.7%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.9%
(/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
42.0%
(/.f64 (tan.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y x))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.5%
(/.f64 (tan.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 y)) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.0%
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
45.9%
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
✓48.5%
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
30.4%
(/.f64 (tan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 y #s(literal -2 binary64))) (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 y #s(literal -2 binary64)) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
22.8%
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
31.3%
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
25.6%
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
24.5%
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
25.3%
(/.f64 (tan.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.5%
(/.f64 (tan.f64 (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 y))) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
1.7%
(/.f64 (tan.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) #s(literal 3/2 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 y y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓20.5%
(/.f64 (tan.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 y y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
12.4%
(/.f64 (tan.f64 (/.f64 x (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 64 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.5%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
6.4%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))))
48.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
23.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))))))
24.1%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)))
13.9%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))))
25.2%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y))))
✓49.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))))
15.4%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y y))))) (*.f64 #s(literal 4 binary64) (*.f64 y y)))))
22.7%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (*.f64 y #s(literal 2 binary64)))))
48.7%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
42.2%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))))
44.5%
(/.f64 (tan.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (*.f64 y #s(literal 2 binary64)))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.4%
(/.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 2 binary64) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.7%
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
2.7%
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
48.4%
(/.f64 (tan.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.8%
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))))
44.7%
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
48.8%
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.3%
(/.f64 (tan.f64 (exp.f64 (fma.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (log.f64 y))))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
42.0%
(/.f64 (tan.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
41.8%
(/.f64 (tan.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (pow.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64))) (*.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))))
42.0%
(/.f64 (tan.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y x))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 1/2 binary64))))))
40.9%
(/.f64 (tan.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 y)) (/.f64 #s(literal 2 binary64) x))))
41.3%
(/.f64 (tan.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 y))) (/.f64 #s(literal 2 binary64) x))))
42.0%
(/.f64 (tan.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))))))
42.4%
(/.f64 (tan.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
43.4%
(/.f64 (tan.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (exp.f64 (+.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal -1 binary64) (log.f64 y))))))
46.4%
(/.f64 (tan.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
44.8%
(/.f64 (tan.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
47.7%
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)))
48.7%
(/.f64 (sin.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (neg.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
5.7%
(/.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 3 binary64))) (*.f64 (neg.f64 (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))))
47.4%
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64)))
47.8%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))))))
46.3%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))))
60.9%
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (pow.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
60.5%
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64))) (*.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))))
60.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
60.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))))
61.0%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y x))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 1/2 binary64))))))
60.8%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))))))
60.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) y)))
60.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
60.5%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))))))
✓60.7%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
59.7%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))) y)))
60.4%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))))))
60.8%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) y)))))
60.5%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64))))))))
✓61.2%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))))))
60.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 y)) x) (pow.f64 y #s(literal -1/2 binary64))))))
60.5%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) y)))))
60.9%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) (pow.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64))))))
60.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 x)))))
61.0%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))))))
60.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) y)))))
60.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))))
60.3%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) y)))))
60.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))))))
60.1%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 y))))))
✓60.5%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) y)))))
60.3%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 y) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 y) #s(literal 2 binary64))))))))
60.4%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))) (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 y)))))))
60.2%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (log.f64 (/.f64 y x))) #s(literal 1/2 binary64)))))
60.3%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (/.f64 #s(literal -1/2 binary64) y))))))
60.5%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))) #s(literal -1 binary64))))))
60.9%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (log.f64 y)) (/.f64 #s(literal 2 binary64) x)))))
✓60.9%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 2 binary64) x)))))
60.7%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 y)))))))
60.8%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))))
60.7%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
60.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) x)))))
60.2%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))))))
60.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64))))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))))
60.2%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))))))
60.5%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
60.4%
(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (+.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal -1 binary64) (log.f64 y))))))
60.8%
(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))))
60.8%
(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
47.0%
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal -1 binary64)))
37.6%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y (/.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y)) x) (sin.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))))
42.3%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) (sin.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))))
✓46.0%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (sin.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))))
58.6%
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) #s(literal -1/2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
5.7%
(*.f64 (/.f64 (tan.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (neg.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
6.4%
(*.f64 (/.f64 (tan.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
46.3%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
17.3%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (tan.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 y #s(literal 4 binary64)))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64)))))
46.3%
(*.f64 (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
46.3%
(*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))))
✓60.5%
#s(literal 1 binary64)
Compiler

Compiled 5 631 to 2 449 computations (56.5% saved)

regimes272.0ms (2.3%)

Memory
-13.2MiB live, 539.4MiB allocated
Counts
171 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))
(fma.f64 (/.f64 x y) (/.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y #s(literal -2 binary64)) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 2 binary64) x)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) y)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) (sin.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (/.f64 #s(literal -1/2 binary64) y))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) y)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 x)))))
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y (/.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y)) x) (sin.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (*.f64 x (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64))) y))
(pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))))) #s(literal -1/2 binary64))
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)))
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))))
(/.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 2 binary64) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y))))
(/.f64 (tan.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (sin.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 y)) x) (pow.f64 y #s(literal -1/2 binary64))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))))
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))))
(/.f64 (tan.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (tan.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 y #s(literal 4 binary64)))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y y))))) (*.f64 #s(literal 4 binary64) (*.f64 y y)))))
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
(/.f64 (tan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 y #s(literal -2 binary64))) (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 y #s(literal -2 binary64)) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 64 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) #s(literal -1/2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (pow.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (log.f64 y)) (/.f64 #s(literal 2 binary64) x)))))
(pow.f64 (*.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (log.f64 (/.f64 y x))) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64))))))))
(/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64)))
(pow.f64 (/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64))))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) y)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
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(/.f64 (tan.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (pow.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64))) (*.f64 (log.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)))))
(/.f64 (tan.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (pow.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64))) (*.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))))
(/.f64 (tan.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))))) (log.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (log.f64 y))))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 y) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 y) #s(literal 2 binary64))))))))
(/.f64 (tan.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y x))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 1/2 binary64))))))
(/.f64 (tan.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))) (neg.f64 (fma.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (pow.f64 (log.f64 y) #s(literal 2 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (exp.f64 (fma.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (log.f64 y))))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
Outputs
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (pow.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
#s(literal 1 binary64)
Calls

5 calls:

52.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
51.0ms
x
47.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
46.0ms
(*.f64 y #s(literal 2 binary64))
45.0ms
y
Results
AccuracySegmentsBranch
61.2%1x
61.2%1y
62.9%2(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
62.9%2(/.f64 x (*.f64 y #s(literal 2 binary64)))
61.2%1(*.f64 y #s(literal 2 binary64))
Compiler

Compiled 33 to 21 computations (36.4% saved)

regimes142.0ms (1.2%)

Memory
4.7MiB live, 122.5MiB allocated
Counts
63 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))
(fma.f64 (/.f64 x y) (/.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y #s(literal -2 binary64)) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 2 binary64) x)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) y)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) (sin.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (/.f64 #s(literal -1/2 binary64) y))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) y)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 x)))))
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y (/.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y)) x) (sin.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (*.f64 x (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64))) y))
(pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))))) #s(literal -1/2 binary64))
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)))
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))))
(/.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 2 binary64) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y))))
(/.f64 (tan.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (sin.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 y)) x) (pow.f64 y #s(literal -1/2 binary64))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))))
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))))
(/.f64 (tan.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (tan.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 y #s(literal 4 binary64)))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y y))))) (*.f64 #s(literal 4 binary64) (*.f64 y y)))))
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
(/.f64 (tan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 y #s(literal -2 binary64))) (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 y #s(literal -2 binary64)) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 64 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) #s(literal -1/2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))))))
Outputs
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
#s(literal 1 binary64)
Calls

5 calls:

46.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
43.0ms
(*.f64 y #s(literal 2 binary64))
18.0ms
x
16.0ms
y
15.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
60.9%1x
60.9%1y
60.9%1(*.f64 y #s(literal 2 binary64))
62.6%2(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
62.7%2(/.f64 x (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 33 to 21 computations (36.4% saved)

regimes6.0ms (0%)

Memory
13.2MiB live, 13.2MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))
(fma.f64 (/.f64 x y) (/.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
Outputs
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
#s(literal 1 binary64)
Calls

2 calls:

3.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
2.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
62.2%2(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
62.5%2(/.f64 x (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 22 to 13 computations (40.9% saved)

regimes14.0ms (0.1%)

Memory
-8.3MiB live, 29.8MiB allocated
Accuracy

Total -9.1b remaining (-35.8%)

Threshold costs -9.1b (-35.8%)

Counts
6 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))
(fma.f64 (/.f64 x y) (/.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))))))
Outputs
#s(literal 1 binary64)
Calls

5 calls:

4.0ms
y
2.0ms
(*.f64 y #s(literal 2 binary64))
2.0ms
x
2.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
2.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
60.5%1(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
60.5%1x
60.5%1y
60.5%1(*.f64 y #s(literal 2 binary64))
60.5%1(/.f64 x (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 33 to 21 computations (36.4% saved)

bsearch2.0ms (0%)

Memory
3.9MiB live, 3.9MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
7.662158306608613e+198
6.553933697322002e+201
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
7.875636395965278e+191
4.9354633377245806e+194
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
4.567525498103876e+198
7.662158306608613e+198
Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify8.0ms (0.1%)

Memory
17.7MiB live, 17.7MiB allocated
Algorithm
1×egg-herbie
Rules
6×*-commutative_binary64
2×1-exp_binary64
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03056
13656
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 10000000000000000972062404885344653449756728480474941855847657639911300522221339234388177506516007760792756678147673846152604340428430285295728914471221362369950308146488642846313231335560438561636352 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (pow.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1000000000000000040900880208761398001286019738266296957960021713442094663491997727554362004538245197373563261847757813447631532786297905940174312186739777303375354598782943738754654264509857792 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal 1 binary64))
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 5000000000000000486031202442672326724878364240237470927923828819955650261110669617194088753258003880396378339073836923076302170214215142647864457235610681184975154073244321423156615667780219280818176 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 10000000000000000972062404885344653449756728480474941855847657639911300522221339234388177506516007760792756678147673846152604340428430285295728914471221362369950308146488642846313231335560438561636352 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (pow.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1000000000000000040900880208761398001286019738266296957960021713442094663491997727554362004538245197373563261847757813447631532786297905940174312186739777303375354598782943738754654264509857792 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal 1 binary64))
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 5000000000000000486031202442672326724878364240237470927923828819955650261110669617194088753258003880396378339073836923076302170214215142647864457235610681184975154073244321423156615667780219280818176 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal 1 binary64))
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 5000000000000000486031202442672326724878364240237470927923828819955650261110669617194088753258003880396378339073836923076302170214215142647864457235610681184975154073244321423156615667780219280818176 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 1 binary64))
#s(literal 1 binary64)

soundness715.0ms (6.1%)

Memory
-22.7MiB live, 456.0MiB allocated
Rules
14 468×accelerator-lowering-fma.f32
14 468×accelerator-lowering-fma.f64
6 082×+-lowering-+.f64
6 082×+-lowering-+.f32
5 448×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028104
1133103
2698103
36036103
08098102
03162054
19502028
233881926
091111817
039142
1189138
2979138
37428138
08414137
0833
12833
213728
378628
0816828
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 124 to 85 computations (31.5% saved)

preprocess74.0ms (0.6%)

Memory
-5.6MiB live, 150.9MiB allocated
Compiler

Compiled 306 to 180 computations (41.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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