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

Time bar (total: 9.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze293.0ms (3%)

Memory
-22.0MiB live, 365.6MiB allocated; 80ms collecting garbage
Algorithm
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)

sample2.0s (20.8%)

Memory
59.1MiB live, 2 357.4MiB allocated; 456ms collecting garbage
Samples
904.0ms4 071×1valid
517.0ms4 185×0valid
Precisions
Click to see histograms. Total time spent on operations: 967.0ms
ival-tan: 335.0ms (34.7% of total)
ival-sin: 211.0ms (21.8% of total)
ival-div: 188.0ms (19.5% of total)
ival-mult: 144.0ms (14.9% of total)
adjust: 74.0ms (7.7% of total)
ival-true: 6.0ms (0.6% of total)
exact: 5.0ms (0.5% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain170.0ms (1.8%)

Memory
-11.7MiB live, 277.9MiB allocated; 42ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1330-1(4.984344538413437e-30 6.078341408940692e-32)(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
1330-1(4.984344538413437e-30 6.078341408940692e-32)(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
390-0-(/.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))))sensitivity981
tan.f64(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))sensitivity981
/.f64(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))u/u390
(/.f64 x (*.f64 y #s(literal 2 binary64)))underflow39
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))underflow39
(/.f64 x (*.f64 y #s(literal 2 binary64)))underflow39
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))underflow39
sin.f64(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))oflow-rescue340
(/.f64 x (*.f64 y #s(literal 2 binary64)))overflow34
tan.f64(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))oflow-rescue340
(/.f64 x (*.f64 y #s(literal 2 binary64)))overflow34
Confusion
Predicted +Predicted -
+1710
-085
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+17100
-0184
Precision?
0.9941860465116279
Recall?
1.0
Freqs
test
numberfreq
085
139
2132
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
55.0ms264×1valid
16.0ms248×0valid
Compiler

Compiled 89 to 28 computations (68.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-sin: 13.0ms (26.3% of total)
ival-div: 12.0ms (24.2% of total)
ival-tan: 12.0ms (24.2% of total)
adjust: 7.0ms (14.1% of total)
ival-mult: 4.0ms (8.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess169.0ms (1.8%)

Memory
4.2MiB live, 236.0MiB allocated; 50ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02275
15167
212265
322765
443565
584965
6182065
7406865
0813
01313
12113
23513
35313
47813
512413
619613
742313
899313
9203913
10436113
11793413
0819413
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Outputs
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))
Symmetry

(abs y)

(abs x)

Compiler

Compiled 13 to 8 computations (38.5% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify168.0ms (1.7%)

Memory
-6.5MiB live, 242.9MiB allocated; 28ms collecting garbage
Algorithm
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)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0836
01336
12136
23536
35336
47836
512436
619636
742336
899336
9203936
10436136
11793436
0819436
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
x
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
Outputs
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
x
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) y)
y
#s(literal 2 binary64)
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))

localize60.0ms (0.6%)

Memory
15.5MiB live, 119.2MiB allocated; 10ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 y #s(literal 2 binary64))
accuracy9.629013540982188
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
accuracy29.498941361759346
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy29.69217620897684
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
Samples
45.0ms132×1valid
8.0ms124×0valid
Compiler

Compiled 38 to 10 computations (73.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-tan: 23.0ms (58.9% of total)
ival-sin: 6.0ms (15.4% of total)
ival-div: 5.0ms (12.8% of total)
adjust: 2.0ms (5.1% of total)
ival-mult: 2.0ms (5.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series20.0ms (0.2%)

Memory
-1.4MiB live, 44.1MiB allocated; 3ms collecting garbage
Counts
5 → 33
Calls
Call 1
Inputs
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
Outputs
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))))))
(* 1/2 (/ 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))))
(* 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))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(sin (* 1/2 (/ x y)))
(* 2 y)
(- (+ 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)))))))))
(/ (- (+ (* -1/48 (/ (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)
(/ (+ (* -1/48 (/ (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 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (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))))))
(- (+ 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 (/ (- (+ (* -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 (/ (+ (* -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))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
y
@inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (sin (/ x (* y 2))))
4.0ms
y
@-inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (sin (/ x (* y 2))))
4.0ms
x
@0
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (sin (/ x (* y 2))))
2.0ms
x
@-inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (sin (/ x (* y 2))))
2.0ms
y
@0
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (sin (/ x (* y 2))))

simplify233.0ms (2.4%)

Memory
18.8MiB live, 285.2MiB allocated; 52ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03161576
110061536
240331498
086801395
Stop Event
iter limit
node limit
Counts
33 → 33
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))))))
(* 1/2 (/ 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))))
(* 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))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(sin (* 1/2 (/ x y)))
(* 2 y)
(- (+ 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)))))))))
(/ (- (+ (* -1/48 (/ (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)
(/ (+ (* -1/48 (/ (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 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (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))))))
(- (+ 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 (/ (- (+ (* -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 (/ (+ (* -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 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))
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(fma.f64 (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))) (*.f64 x x) #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 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64)))) #s(literal 61/46080 binary64) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* x (+ (* 1/24 (/ (pow x 2) (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))))
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(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(sin (* 1/2 (/ x y)))
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(* 2 y)
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(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y)
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(/ (- (+ (* -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)
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(/ (- (+ (* -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)
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(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/48 binary64) y) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3840 binary64) (*.f64 #s(literal 1/2 binary64) 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)
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/48 binary64) 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 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3840 binary64) (*.f64 #s(literal 1/2 binary64) x)))) y)
(- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) x) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) (*.f64 y y)))
(- (+ 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))))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/24 binary64) y) (/.f64 (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (pow.f64 y #s(literal 4 binary64)))) x) #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -1/24 binary64) x) y) (/.f64 x y) (/.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) (*.f64 (/.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) x) #s(literal -2 binary64)))) (*.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #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)))))))))
(-.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/24 binary64) y) (/.f64 (-.f64 (*.f64 #s(literal 1/645120 binary64) (pow.f64 x #s(literal 7 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (fma.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/92160 binary64) (pow.f64 x #s(literal 7 binary64)))))) (pow.f64 y #s(literal 6 binary64)))) x) (/.f64 (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) #s(literal 1 binary64)) (fma.f64 (*.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) x) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) (*.f64 (/.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) x) #s(literal -2 binary64))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/1920 binary64))) (*.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64))))) #s(literal -1/24 binary64) (fma.f64 #s(literal -1/24 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) (*.f64 (/.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) x) #s(literal -2 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 x x) (*.f64 (/.f64 x y) (/.f64 x y))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/1920 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/1920 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) (*.f64 (/.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) x) #s(literal -2 binary64)))) (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/322560 binary64))) (pow.f64 y #s(literal 6 binary64)))))))
(* -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 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/24 binary64) y) (*.f64 #s(literal -1/2 binary64) x)) (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 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal -1/2 binary64) x))) (fma.f64 (/.f64 #s(literal 1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 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 #s(literal -1/2 binary64) x (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal 1/645120 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (/.f64 (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (pow.f64 y #s(literal 6 binary64))) (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/92160 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 y #s(literal 6 binary64))))))) (neg.f64 y))
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))
(/.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 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal -1/2 binary64) x))) (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 #s(literal -1/2 binary64) x (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal 1/645120 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))))))) (neg.f64 y))

rewrite163.0ms (1.7%)

Memory
-8.3MiB live, 183.4MiB allocated; 58ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0833
01317
12917
211817
38247
0104017
Stop Event
iter limit
node limit
iter limit
Counts
5 → 15
Calls
Call 1
Inputs
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
Outputs
#s(literal 0 binary64)
#s(literal 0 binary64)
(/.f64 (/.f64 x #s(literal -2 binary64)) (neg.f64 y))
(/.f64 (/.f64 x #s(literal -2 binary64)) y)
(/.f64 (/.f64 x #s(literal 2 binary64)) (neg.f64 y))
(/.f64 (/.f64 x #s(literal 2 binary64)) y)
(/.f64 (/.f64 (neg.f64 x) y) #s(literal -2 binary64))
(/.f64 (/.f64 (neg.f64 x) y) #s(literal 2 binary64))
(/.f64 (/.f64 x y) #s(literal -2 binary64))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 (neg.f64 x) #s(literal 0 binary64))
(/.f64 x #s(literal 0 binary64))
(neg.f64 (/.f64 x #s(literal 0 binary64)))
#s(literal 0 binary64)
#s(literal 0 binary64)

eval8.0ms (0.1%)

Memory
20.9MiB live, 20.9MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 105 to 381 computations (81.9% saved)

prune79.0ms (0.8%)

Memory
-36.1MiB live, 65.2MiB allocated; 51ms collecting garbage
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New47855
Fresh000
Picked011
Done000
Total47956
Accuracy
59.1%
Counts
56 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.9%
(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
38.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
31.5%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)))
37.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
37.5%
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
33.2%
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
53.3%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
52.9%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
3.1%
#s(literal 0 binary64)
Compiler

Compiled 303 to 224 computations (26.1% saved)

simplify138.0ms (1.4%)

Memory
6.6MiB live, 197.7MiB allocated; 43ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
cost-diff0
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
cost-diff0
#s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
cost-diff0
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
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)))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
cost-diff0
(/.f64 #s(literal 1/2 binary64) y)
cost-diff0
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
cost-diff0
#s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
cost-diff0
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
cost-diff0
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
cost-diff0
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
cost-diff0
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
cost-diff0
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028269
044269
160269
290269
3144269
4217269
5308269
6430269
7823269
81864269
94049269
107965269
08023269
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.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 #s(literal 1/2 binary64) y) x)))
#s(literal 1 binary64)
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
#s(literal 0 binary64)
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
x
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
#s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.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 #s(literal 1/2 binary64) y) x)))
#s(literal 1 binary64)
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
#s(literal 0 binary64)
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))
#s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
(/.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
x
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) y)
y
#s(literal 2 binary64)
#s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))
#s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)

localize126.0ms (1.3%)

Memory
2.5MiB live, 197.6MiB allocated; 18ms collecting garbage
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy9.629013540982188
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
accuracy29.498941361759346
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy29.498941361759346
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
accuracy29.820399171274957
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
accuracy0.1640625
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
accuracy9.629013540982188
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
accuracy29.498941361759346
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
accuracy29.69217620897684
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy0.1640625
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
accuracy9.629013540982188
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
accuracy29.498941361759346
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy32.72058944316474
#s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
accuracy0.0
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
accuracy0.1171875
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
accuracy0.1640625
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
accuracy29.820399171274957
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
Samples
82.0ms132×1valid
18.0ms124×0valid
Compiler

Compiled 208 to 19 computations (90.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-div: 12.0ms (25.4% of total)
ival-sin: 12.0ms (25.4% of total)
ival-tan: 7.0ms (14.8% of total)
adjust: 6.0ms (12.7% of total)
ival-cos: 6.0ms (12.7% of total)
ival-mult: 4.0ms (8.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
19.8MiB live, 19.8MiB allocated; 0ms collecting garbage
Counts
16 → 42
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.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 #s(literal 1/2 binary64) y) x)))
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
Outputs
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 (* -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))))))
(* 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))))
(* 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))))
(/ 1 (cos (* 1/2 (/ x y))))
(cos (* 1/2 (/ x y)))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(sin (* 1/2 (/ x y)))
(/ 1/2 y)
(* 2 y)
(- (+ 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 (* -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 (+ (* -1/8 (/ (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))))))
(/ (- (+ (* -1/48 (/ (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)
(/ (+ (* -1/48 (/ (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 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (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))))))
(- (+ 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 (/ (- (+ (* -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 (/ (+ (* -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))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
y
@inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ 1/2 y) x))) (cos (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ 1/2 y) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ (sin (* (/ 1/2 y) x)) (cos (* (/ 1/2 y) x))) (sin (* (/ 1/2 y) x)) (sin (/ x (* y 2))))
2.0ms
y
@-inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ 1/2 y) x))) (cos (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ 1/2 y) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ (sin (* (/ 1/2 y) x)) (cos (* (/ 1/2 y) x))) (sin (* (/ 1/2 y) x)) (sin (/ x (* y 2))))
2.0ms
y
@0
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ 1/2 y) x))) (cos (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ 1/2 y) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ (sin (* (/ 1/2 y) x)) (cos (* (/ 1/2 y) x))) (sin (* (/ 1/2 y) x)) (sin (/ x (* y 2))))
1.0ms
x
@inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ 1/2 y) x))) (cos (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ 1/2 y) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ (sin (* (/ 1/2 y) x)) (cos (* (/ 1/2 y) x))) (sin (* (/ 1/2 y) x)) (sin (/ x (* y 2))))
1.0ms
x
@-inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ 1/2 y) x))) (cos (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ 1/2 y) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ (sin (* (/ 1/2 y) x)) (cos (* (/ 1/2 y) x))) (sin (* (/ 1/2 y) x)) (sin (/ x (* y 2))))

simplify308.0ms (3.2%)

Memory
8.4MiB live, 277.9MiB allocated; 56ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03601772
111581724
246561686
089631569
Stop Event
iter limit
node limit
Counts
42 → 42
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 (* -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))))))
(* 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))))
(* 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))))
(/ 1 (cos (* 1/2 (/ x y))))
(cos (* 1/2 (/ x y)))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(sin (* 1/2 (/ x y)))
(/ 1/2 y)
(* 2 y)
(- (+ 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 (* -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 (+ (* -1/8 (/ (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))))))
(/ (- (+ (* -1/48 (/ (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)
(/ (+ (* -1/48 (/ (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 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (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))))))
(- (+ 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 (/ (- (+ (* -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 (/ (+ (* -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 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x 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 (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))) (*.f64 x x) #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 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64)))) #s(literal 61/46080 binary64) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (/.f64 #s(literal -1/8 binary64) (*.f64 y y))) (*.f64 x x) #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 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.f64 #s(literal -1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64))
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (pow.f64 y #s(literal 3 binary64))))
(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 #s(literal 1/240 binary64) (pow.f64 y #s(literal 5 binary64))) x) x (/.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(* 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))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 7 binary64)))) #s(literal 17/40320 binary64) (/.f64 #s(literal 1/240 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) y) x)
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64))) x) x (/.f64 #s(literal -1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(* 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))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 x (/.f64 x (pow.f64 y #s(literal 7 binary64)))) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 x x) (/.f64 #s(literal -1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(cos (* 1/2 (/ x y)))
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(sin (* 1/2 (/ x y)))
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) (*.f64 y y)))
(- (+ 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))))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal 1/24 binary64) y) (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3840 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (pow.f64 y #s(literal 4 binary64)))) x) #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -1/24 binary64) x) y) (/.f64 x y) (/.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) #s(literal 2 binary64)))) (*.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/1920 binary64))) (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) (fma.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x y)) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (+.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/645120 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3840 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (fma.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -1/92160 binary64) (pow.f64 x #s(literal 7 binary64)))))) (pow.f64 y #s(literal 6 binary64))) (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3840 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (pow.f64 y #s(literal 4 binary64)))) x)) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) #s(literal 2 binary64))) (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))))) #s(literal -1/24 binary64) (fma.f64 #s(literal -1/24 binary64) (fma.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3840 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) x) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/1920 binary64))) (*.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64)))) (*.f64 (/.f64 x y) (/.f64 x y))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/1920 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/1920 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/322560 binary64))) (pow.f64 y #s(literal 6 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 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 5/384 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #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 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -5/384 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 7/23040 binary64))) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -5/384 binary64) (pow.f64 y #s(literal 4 binary64))))))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x 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 (+ (* -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 #s(literal -1/8 binary64) x) y) (/.f64 x y) (*.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal -1/46080 binary64) (pow.f64 y #s(literal 6 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)))
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal 1/24 binary64) 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 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/48 binary64) y) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3840 binary64) (*.f64 #s(literal 1/2 binary64) x))) (fma.f64 (/.f64 #s(literal -1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 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 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/48 binary64) 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 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3840 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (fma.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3840 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 x x)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (/.f64 #s(literal -1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/768 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -1/92160 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 y #s(literal 6 binary64))))))) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) y) x)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/48 binary64) y) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3840 binary64) (*.f64 #s(literal 1/2 binary64) 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)
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/48 binary64) 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 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3840 binary64) (*.f64 #s(literal 1/2 binary64) x)))) y)
(- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) x) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) (*.f64 y y)))
(- (+ 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))))))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/24 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (pow.f64 y #s(literal 4 binary64)))) x) #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -1/24 binary64) x) y) (/.f64 x y) (/.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) (*.f64 (/.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) x) #s(literal -2 binary64)))) (*.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #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)))))))))
(-.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/24 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (-.f64 (*.f64 #s(literal 1/645120 binary64) (pow.f64 x #s(literal 7 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (fma.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/92160 binary64) (pow.f64 x #s(literal 7 binary64)))))) (pow.f64 y #s(literal 6 binary64)))) x) (/.f64 (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) #s(literal 1 binary64)) (fma.f64 (*.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) x) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) (*.f64 (/.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) x) #s(literal -2 binary64))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/1920 binary64))) (*.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64))))) #s(literal -1/24 binary64) (fma.f64 #s(literal -1/24 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) (*.f64 (/.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) x) #s(literal -2 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 x x) (*.f64 (/.f64 x y) (/.f64 x y))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/1920 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/1920 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) (*.f64 (/.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) x) #s(literal -2 binary64)))) (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/322560 binary64))) (pow.f64 y #s(literal 6 binary64)))))))
(* -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 #s(literal -1/24 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal -1/2 binary64) x)) (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 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal -1/2 binary64) x))) (fma.f64 (/.f64 #s(literal 1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 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 #s(literal -1/2 binary64) x (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal 1/645120 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (/.f64 (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (pow.f64 y #s(literal 6 binary64))) (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/92160 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 y #s(literal 6 binary64))))))) (neg.f64 y))
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) y) x)
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))
(/.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 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal -1/2 binary64) x))) (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 #s(literal -1/2 binary64) x (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal 1/645120 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))))))) (neg.f64 y))

rewrite343.0ms (3.6%)

Memory
-52.0MiB live, 330.3MiB allocated; 83ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027181
043160
187160
2272160
31707160
08782160
Stop Event
iter limit
node limit
iter limit
Counts
16 → 254
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.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 #s(literal 1/2 binary64) y) x)))
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/2 binary64)))))
(*.f64 (neg.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/2 binary64)))
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(-.f64 (*.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (*.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
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(-.f64 (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 0 binary64)) (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal 1 binary64)))
(cos.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))
(cos.f64 (+.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64)) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (neg.f64 (PI.f64)))))
(+.f64 (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64)) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal 0 binary64)))
(+.f64 (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64)) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 0 binary64)))
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (*.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))))
(neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))
(fma.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (*.f64 #s(literal -1 binary64) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))
(fma.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))) (*.f64 #s(literal -1 binary64) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))
(fma.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal -1 binary64) (*.f64 (neg.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))) #s(literal 0 binary64)))
(fma.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal -1 binary64) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (neg.f64 (PI.f64)))))
(fma.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal -1 binary64) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 0 binary64)))
(fma.f64 (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (cos.f64 (+.f64 (PI.f64) (PI.f64))) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (+.f64 (PI.f64) (PI.f64)))))
(sin.f64 (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (PI.f64)))
(sin.f64 (+.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 x y) #s(literal -2 binary64))))
(sin.f64 (+.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y) (+.f64 (PI.f64) (PI.f64))))
(sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))
(-.f64 (*.f64 (neg.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))) #s(literal 0 binary64)) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 1 binary64)))
(-.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal -1 binary64)) (*.f64 (neg.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))) (sin.f64 (neg.f64 (PI.f64)))))
(-.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal -1 binary64)) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 0 binary64)))
(-.f64 (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 1 binary64)))
(cos.f64 (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)) (PI.f64))))
(cos.f64 (neg.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)) (PI.f64)))
(cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (*.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))) (*.f64 #s(literal -1 binary64) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))
(+.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal -1 binary64)) (*.f64 (neg.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))) #s(literal 0 binary64)))
(+.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal -1 binary64)) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (neg.f64 (PI.f64)))))
(+.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal -1 binary64)) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 0 binary64)))
(+.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))) (*.f64 #s(literal -1 binary64) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))
(+.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (cos.f64 (+.f64 (PI.f64) (PI.f64)))) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (+.f64 (PI.f64) (PI.f64)))))

eval105.0ms (1.1%)

Memory
-10.4MiB live, 176.5MiB allocated; 22ms collecting garbage
Compiler

Compiled 18 475 to 1 919 computations (89.6% saved)

prune77.0ms (0.8%)

Memory
9.7MiB live, 112.6MiB allocated; 9ms collecting garbage
Pruning

42 alts after pruning (39 fresh and 3 done)

PrunedKeptTotal
New51638554
Fresh213
Picked325
Done011
Total52142563
Accuracy
59.7%
Counts
563 → 42
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.0%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
6.5%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))))
37.6%
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
38.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
7.8%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (fma.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (neg.f64 (PI.f64)))))))
8.7%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (-.f64 (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64)) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (neg.f64 (PI.f64)))))))
9.7%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))))
8.5%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))))
7.0%
(/.f64 (tan.f64 (+.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y) (+.f64 (PI.f64) (PI.f64)))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
36.7%
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))))
6.9%
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (fma.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (neg.f64 (PI.f64))))) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.9%
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (-.f64 (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
9.7%
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
38.0%
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
7.3%
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
38.5%
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
7.7%
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (fma.f64 (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (cos.f64 (+.f64 (PI.f64) (PI.f64))) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (+.f64 (PI.f64) (PI.f64))))))
37.5%
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (+.f64 y y))))
9.8%
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (PI.f64))))
38.6%
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
8.0%
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (neg.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
37.5%
(/.f64 #s(approx (tan (/ x (* y 2))) (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
48.6%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))
50.2%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
51.0%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))))))))
53.2%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) y))) (cos.f64 (/.f64 (*.f64 (PI.f64) y) (*.f64 #s(literal 2 binary64) y))) (*.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) y))) (sin.f64 (/.f64 (*.f64 (PI.f64) y) (*.f64 #s(literal 2 binary64) y)))))))
53.9%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))))
53.0%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))))))
54.0%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))))
53.2%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))))
54.2%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64)))))
53.2%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))))
53.2%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
53.1%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))))
53.1%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) (PI.f64)))))
53.2%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
53.3%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
49.2%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ 1/2 y) x)) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))))
54.0%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))))
52.1%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fabs.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1 binary64))))
52.9%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
3.1%
#s(literal 0 binary64)
Compiler

Compiled 2 510 to 1 620 computations (35.5% saved)

simplify150.0ms (1.6%)

Memory
-5.9MiB live, 186.9MiB allocated; 34ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
cost-diff0
#s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
cost-diff0
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (PI.f64))))
cost-diff2
(sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (PI.f64)))
cost-diff0
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
cost-diff0
(pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/2 binary64))
cost-diff0
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
cost-diff2
(pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
cost-diff0
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))))
cost-diff1
(neg.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
cost-diff2
(+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))
cost-diff3
(sin.f64 (neg.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))
cost-diff0
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64)))))
cost-diff1
(neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))))
cost-diff2
(+.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64))
cost-diff3
(sin.f64 (+.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041376
066387
1103357
2193335
3398335
4754335
51524335
63487326
76889326
08795323
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64)))))
(/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64))))
#s(literal 1 binary64)
(sin.f64 (+.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64)))
(+.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64))
(neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))))
(/.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))))
#s(literal 1 binary64)
(sin.f64 (neg.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))
(neg.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
(+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))
(fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))
#s(literal -1/2 binary64)
(/.f64 x y)
x
y
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/2 binary64))
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
#s(literal -1/2 binary64)
#s(literal 2 binary64)
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (PI.f64))))
#s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (PI.f64)))
(+.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (PI.f64))
(/.f64 (/.f64 x y) #s(literal -2 binary64))
(/.f64 x y)
#s(literal -2 binary64)
(PI.f64)
Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64))))
(pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))
#s(literal 1 binary64)
(sin.f64 (+.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64)))
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(+.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64))
(fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (/.f64 (PI.f64) #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))))
(pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))
#s(literal 1 binary64)
(sin.f64 (neg.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(neg.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal -3/2 binary64)))
(+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))
(fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (*.f64 (PI.f64) #s(literal 3/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
#s(literal -1/2 binary64)
(/.f64 x y)
x
y
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/2 binary64))
(pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
#s(literal -1/2 binary64)
#s(literal 2 binary64)
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (PI.f64))))
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)))
#s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
#s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (PI.f64)))
(sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))
(+.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (PI.f64))
(/.f64 (/.f64 x y) #s(literal -2 binary64))
(/.f64 x y)
#s(literal -2 binary64)
(PI.f64)

localize533.0ms (5.5%)

Memory
29.9MiB live, 782.9MiB allocated; 198ms collecting garbage
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy13.093890946924917
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
accuracy13.228627858054953
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
accuracy17.92143868476344
(PI.f64)
accuracy41.63205429562599
(sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (PI.f64)))
accuracy0.03125
(pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/2 binary64))
accuracy0.109375
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
accuracy0.140625
(pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
accuracy13.228627858054953
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
accuracy0.014003759768442016
(+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))
accuracy0.06640625
(/.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))))
accuracy13.230428563567937
(sin.f64 (neg.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))
accuracy17.92143868476344
(PI.f64)
accuracy11.956877797014718
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
accuracy0.05078125
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))
accuracy0.06640625
(/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64))))
accuracy13.08813603626793
(sin.f64 (+.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64)))
accuracy17.92143868476344
(PI.f64)
Samples
224.0ms68×2valid
141.0ms105×1valid
71.0ms69×1invalid
27.0ms3valid
2.0ms0invalid
1.0ms0valid
Compiler

Compiled 317 to 39 computations (87.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 416.0ms
ival-sin: 273.0ms (65.7% of total)
ival-div: 44.0ms (10.6% of total)
adjust: 37.0ms (8.9% of total)
ival-add: 13.0ms (3.1% of total)
ival-pow2: 9.0ms (2.2% of total)
ival-mult: 8.0ms (1.9% of total)
ival-tan: 8.0ms (1.9% of total)
ival-pow: 8.0ms (1.9% of total)
ival-cos: 7.0ms (1.7% of total)
ival-neg: 6.0ms (1.4% of total)
ival-pi: 2.0ms (0.5% of total)
exact: 1.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series46.0ms (0.5%)

Memory
7.5MiB live, 103.0MiB allocated; 8ms collecting garbage
Counts
23 → 134
Calls
Call 1
Inputs
(sin.f64 (+.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64)))
(+.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64))
(neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64)))))
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(- (+ (* -1 (/ (+ (* -1/2 (/ (* x (* (cos (neg (+ (PI) (* 1/2 (PI))))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (neg (+ (PI) (* 1/2 (PI))))) 2)) (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 3))) (* -1/8 (/ (pow x 2) (sin (neg (+ (PI) (* 1/2 (PI)))))))))) (sin (neg (+ (PI) (* 1/2 (PI))))))) (+ (* -1/48 (/ (* (pow x 3) (cos (neg (+ (PI) (* 1/2 (PI)))))) (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 2))) (* 1/16 (/ (* (pow x 3) (cos (neg (+ (PI) (* 1/2 (PI)))))) (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 2))))) (pow y 3))) (/ 1 (sin (neg (+ (PI) (* 1/2 (PI))))))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (neg (+ (PI) (* 1/2 (PI))))) 2)) (* (pow y 2) (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 3)))) (+ (* -1/8 (/ (pow x 2) (* (pow y 2) (sin (neg (+ (PI) (* 1/2 (PI)))))))) (* 1/2 (/ (* x (cos (neg (+ (PI) (* 1/2 (PI)))))) (* y (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 2)))))))
(/ (+ (* -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)
(+ (sin (- (PI) (* 1/2 (PI)))) (* -1 (/ (+ (* 1/8 (/ (* (pow x 2) (sin (- (PI) (* 1/2 (PI))))) y)) (* 1/2 (* x (cos (- (PI) (* 1/2 (PI))))))) y)))
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(- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))
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(+ (sin (PI)) (* -1 (/ (+ (* 1/8 (/ (* (pow x 2) (sin (PI))) y)) (* 1/2 (* x (cos (PI))))) y)))
(+ (sin (PI)) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (sin (PI)))) (* 1/48 (/ (* (pow x 3) (cos (PI))) y))) y)) (* 1/2 (* x (cos (PI))))) y)))
(* -1 (/ (+ (* -1/2 (/ x (sin (PI)))) (* -1/4 (/ (* (pow x 2) (cos (PI))) (* y (pow (sin (PI)) 2))))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/48 (/ (pow x 3) (sin (PI)))) (+ (* 1/8 (/ (* (pow x 3) (pow (cos (PI)) 2)) (pow (sin (PI)) 3))) (* 1/8 (/ (pow x 3) (sin (PI)))))) y)) (* -1/4 (/ (* (pow x 2) (cos (PI))) (pow (sin (PI)) 2)))) y)) (* -1/2 (/ x (sin (PI))))) y))
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(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow x 3) (cos (neg (+ (PI) (* 1/2 (PI)))))) (* y (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 2)))) (+ (* 1/48 (/ (* (pow x 3) (cos (neg (+ (PI) (* 1/2 (PI)))))) (* y (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 2)))) (* 1/2 (/ (* x (* (cos (neg (+ (PI) (* 1/2 (PI))))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (neg (+ (PI) (* 1/2 (PI))))) 2)) (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 3))) (* -1/8 (/ (pow x 2) (sin (neg (+ (PI) (* 1/2 (PI)))))))))) (* y (sin (neg (+ (PI) (* 1/2 (PI)))))))))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (neg (+ (PI) (* 1/2 (PI))))) 2)) (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 3))) (* -1/8 (/ (pow x 2) (sin (neg (+ (PI) (* 1/2 (PI))))))))) y)) (* -1/2 (/ (* x (cos (neg (+ (PI) (* 1/2 (PI)))))) (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 2)))) y)) (/ 1 (sin (neg (+ (PI) (* 1/2 (PI)))))))
(* -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))
Calls

6 calls:

TimeVariablePointExpression
14.0ms
x
@0
((sin (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI))) (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)) (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (sin (neg (+ (+ (* -1/2 (/ x y)) (/ (PI) 2)) (PI)))) (+ (+ (* -1/2 (/ x y)) (/ (PI) 2)) (PI)) (neg (+ (+ (* -1/2 (/ x y)) (/ (PI) 2)) (PI))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (pow (cos (* (/ 1/2 y) x)) -1/2) 2) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (cos (* (/ 1/2 y) x)) -1/2) (cos (* (/ 1/2 y) x)) (sin (+ (/ (/ x y) -2) (PI))) (/ (tan (/ x (* y 2))) (sin (+ (/ (/ x y) -2) (PI)))) (tan (/ x (* y 2))) (/ (sin (* (/ 1/2 y) x)) (cos (* (/ 1/2 y) x))) (PI) (/ 1 (sin (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)))) (+ (* (/ 1/2 y) x) (/ (PI) 2)) (/ 1 (sin (neg (+ (+ (* -1/2 (/ x y)) (/ (PI) 2)) (PI))))) (* (/ 1/2 y) x) (sin (* (/ 1/2 y) x)))
9.0ms
y
@inf
((sin (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI))) (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)) (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (sin (neg (+ (+ (* -1/2 (/ x y)) (/ (PI) 2)) (PI)))) (+ (+ (* -1/2 (/ x y)) (/ (PI) 2)) (PI)) (neg (+ (+ (* -1/2 (/ x y)) (/ (PI) 2)) (PI))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (pow (cos (* (/ 1/2 y) x)) -1/2) 2) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (cos (* (/ 1/2 y) x)) -1/2) (cos (* (/ 1/2 y) x)) (sin (+ (/ (/ x y) -2) (PI))) (/ (tan (/ x (* y 2))) (sin (+ (/ (/ x y) -2) (PI)))) (tan (/ x (* y 2))) (/ (sin (* (/ 1/2 y) x)) (cos (* (/ 1/2 y) x))) (PI) (/ 1 (sin (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)))) (+ (* (/ 1/2 y) x) (/ (PI) 2)) (/ 1 (sin (neg (+ (+ (* -1/2 (/ x y)) (/ (PI) 2)) (PI))))) (* (/ 1/2 y) x) (sin (* (/ 1/2 y) x)))
6.0ms
y
@-inf
((sin (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI))) (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)) (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (sin (neg (+ (+ (* -1/2 (/ x y)) (/ (PI) 2)) (PI)))) (+ (+ (* -1/2 (/ x y)) (/ (PI) 2)) (PI)) (neg (+ (+ (* -1/2 (/ x y)) (/ (PI) 2)) (PI))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (pow (cos (* (/ 1/2 y) x)) -1/2) 2) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (cos (* (/ 1/2 y) x)) -1/2) (cos (* (/ 1/2 y) x)) (sin (+ (/ (/ x y) -2) (PI))) (/ (tan (/ x (* y 2))) (sin (+ (/ (/ x y) -2) (PI)))) (tan (/ x (* y 2))) (/ (sin (* (/ 1/2 y) x)) (cos (* (/ 1/2 y) x))) (PI) (/ 1 (sin (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)))) (+ (* (/ 1/2 y) x) (/ (PI) 2)) (/ 1 (sin (neg (+ (+ (* -1/2 (/ x y)) (/ (PI) 2)) (PI))))) (* (/ 1/2 y) x) (sin (* (/ 1/2 y) x)))
4.0ms
x
@-inf
((sin (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI))) (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)) (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (sin (neg (+ (+ (* -1/2 (/ x y)) (/ (PI) 2)) (PI)))) (+ (+ (* -1/2 (/ x y)) (/ (PI) 2)) (PI)) (neg (+ (+ (* -1/2 (/ x y)) (/ (PI) 2)) (PI))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (pow (cos (* (/ 1/2 y) x)) -1/2) 2) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (cos (* (/ 1/2 y) x)) -1/2) (cos (* (/ 1/2 y) x)) (sin (+ (/ (/ x y) -2) (PI))) (/ (tan (/ x (* y 2))) (sin (+ (/ (/ x y) -2) (PI)))) (tan (/ x (* y 2))) (/ (sin (* (/ 1/2 y) x)) (cos (* (/ 1/2 y) x))) (PI) (/ 1 (sin (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)))) (+ (* (/ 1/2 y) x) (/ (PI) 2)) (/ 1 (sin (neg (+ (+ (* -1/2 (/ x y)) (/ (PI) 2)) (PI))))) (* (/ 1/2 y) x) (sin (* (/ 1/2 y) x)))
4.0ms
x
@inf
((sin (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI))) (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)) (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (sin (neg (+ (+ (* -1/2 (/ x y)) (/ (PI) 2)) (PI)))) (+ (+ (* -1/2 (/ x y)) (/ (PI) 2)) (PI)) (neg (+ (+ (* -1/2 (/ x y)) (/ (PI) 2)) (PI))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (pow (cos (* (/ 1/2 y) x)) -1/2) 2) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (cos (* (/ 1/2 y) x)) -1/2) (cos (* (/ 1/2 y) x)) (sin (+ (/ (/ x y) -2) (PI))) (/ (tan (/ x (* y 2))) (sin (+ (/ (/ x y) -2) (PI)))) (tan (/ x (* y 2))) (/ (sin (* (/ 1/2 y) x)) (cos (* (/ 1/2 y) x))) (PI) (/ 1 (sin (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)))) (+ (* (/ 1/2 y) x) (/ (PI) 2)) (/ 1 (sin (neg (+ (+ (* -1/2 (/ x y)) (/ (PI) 2)) (PI))))) (* (/ 1/2 y) x) (sin (* (/ 1/2 y) x)))

simplify247.0ms (2.6%)

Memory
-8.5MiB live, 274.2MiB allocated; 41ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09394904
132464298
084464074
Stop Event
iter limit
node limit
Counts
134 → 134
Calls
Call 1
Inputs
(sin (- (PI) (* 1/2 (PI))))
(+ (sin (- (PI) (* 1/2 (PI)))) (* -1/2 (/ (* x (cos (- (PI) (* 1/2 (PI))))) y)))
(+ (sin (- (PI) (* 1/2 (PI)))) (* x (+ (* -1/2 (/ (cos (- (PI) (* 1/2 (PI)))) y)) (* -1/8 (/ (* x (sin (- (PI) (* 1/2 (PI))))) (pow y 2))))))
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(- (PI) (* 1/2 (PI)))
(- (+ (PI) (* -1/2 (/ x y))) (* 1/2 (PI)))
(* -1/2 (PI))
(- (* -1/2 (/ x y)) (* 1/2 (PI)))
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))))))
(sin (neg (+ (PI) (* 1/2 (PI)))))
(+ (sin (neg (+ (PI) (* 1/2 (PI))))) (* 1/2 (/ (* x (cos (neg (+ (PI) (* 1/2 (PI)))))) y)))
(+ (sin (neg (+ (PI) (* 1/2 (PI))))) (* x (+ (* -1/8 (/ (* x (sin (neg (+ (PI) (* 1/2 (PI)))))) (pow y 2))) (* 1/2 (/ (cos (neg (+ (PI) (* 1/2 (PI))))) y)))))
(+ (sin (neg (+ (PI) (* 1/2 (PI))))) (* x (+ (* 1/2 (/ (cos (neg (+ (PI) (* 1/2 (PI))))) y)) (* x (+ (* -1/8 (/ (sin (neg (+ (PI) (* 1/2 (PI))))) (pow y 2))) (* -1/48 (/ (* x (cos (neg (+ (PI) (* 1/2 (PI)))))) (pow y 3))))))))
(+ (PI) (* 1/2 (PI)))
(+ (PI) (+ (* -1/2 (/ x y)) (* 1/2 (PI))))
(* -1 (+ (PI) (* 1/2 (PI))))
(- (* 1/2 (/ x y)) (+ (PI) (* 1/2 (PI))))
(+ 1 (* 1/16 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (+ (* 7/1536 (/ (pow x 2) (pow y 4))) (* 1/16 (/ 1 (pow y 2))))))
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 139/368640 (/ (pow x 2) (pow y 6))) (* 7/1536 (/ 1 (pow y 4))))) (* 1/16 (/ 1 (pow y 2))))))
(+ 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))))))
(sin (PI))
(+ (sin (PI)) (* -1/2 (/ (* x (cos (PI))) y)))
(+ (sin (PI)) (* x (+ (* -1/2 (/ (cos (PI)) y)) (* -1/8 (/ (* x (sin (PI))) (pow y 2))))))
(+ (sin (PI)) (* x (+ (* -1/2 (/ (cos (PI)) y)) (* x (+ (* -1/8 (/ (sin (PI)) (pow y 2))) (* 1/48 (/ (* x (cos (PI))) (pow y 3))))))))
(* 1/2 (/ x (* y (sin (PI)))))
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(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/32 (/ (* (pow x 4) (cos (PI))) (* y (pow (sin (PI)) 2)))) (+ (* 1/96 (/ (* (pow x 4) (cos (PI))) (* y (pow (sin (PI)) 2)))) (+ (* 1/48 (/ (pow x 3) (sin (PI)))) (* 1/2 (/ (* x (* (cos (PI)) (- (* 1/48 (/ (pow x 3) (sin (PI)))) (+ (* 1/8 (/ (* (pow x 3) (pow (cos (PI)) 2)) (pow (sin (PI)) 3))) (* 1/8 (/ (pow x 3) (sin (PI)))))))) (* y (sin (PI)))))))) (+ (* 1/8 (/ (* (pow x 3) (pow (cos (PI)) 2)) (pow (sin (PI)) 3))) (* 1/8 (/ (pow x 3) (sin (PI)))))) y)) (* -1/4 (/ (* (pow x 2) (cos (PI))) (pow (sin (PI)) 2)))) y)) (* -1/2 (/ x (sin (PI))))) y))
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Outputs
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(/.f64 (fma.f64 (/.f64 x #s(literal 0 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 0 binary64)) #s(literal -1/48 binary64) (fma.f64 (/.f64 (*.f64 (neg.f64 x) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 0 binary64)) #s(literal 1/48 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 0 binary64))))) #s(literal 0 binary64)) #s(literal 1/2 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 0 binary64)) #s(literal 1/48 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 0 binary64)))) y) #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) #s(literal 0 binary64))) (neg.f64 y))) (neg.f64 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 #s(literal -1/2 binary64) x (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal -1/24 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 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) x))) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal -1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) 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 #s(literal -1/2 binary64) x (fma.f64 #s(literal 1/645120 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64)))))) (fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 x x)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/8 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 4 binary64))) (-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/384 binary64) (*.f64 #s(literal 1/92160 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 y #s(literal 6 binary64))) (*.f64 (/.f64 #s(literal -1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y)))))) (neg.f64 y))
(+ (* -1 (/ (- (+ (* -1/4 (/ (* (pow x 2) (pow (cos (- (PI) (* 1/2 (PI)))) 2)) (* y (pow (sin (- (PI) (* 1/2 (PI)))) 3)))) (* -1/8 (/ (pow x 2) (* y (sin (- (PI) (* 1/2 (PI)))))))) (* 1/2 (/ (* x (cos (- (PI) (* 1/2 (PI))))) (pow (sin (- (PI) (* 1/2 (PI)))) 2)))) y)) (/ 1 (sin (- (PI) (* 1/2 (PI))))))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) #s(literal 2 binary64)) (*.f64 x x)) y) (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (pow.f64 (sin.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) #s(literal 2 binary64))))))) y) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (* (cos (- (PI) (* 1/2 (PI)))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (- (PI) (* 1/2 (PI)))) 2)) (pow (sin (- (PI) (* 1/2 (PI)))) 3))) (* -1/8 (/ (pow x 2) (sin (- (PI) (* 1/2 (PI))))))))) (* y (sin (- (PI) (* 1/2 (PI))))))) (+ (* -1/48 (/ (* (pow x 3) (cos (- (PI) (* 1/2 (PI))))) (* y (pow (sin (- (PI) (* 1/2 (PI)))) 2)))) (* 1/16 (/ (* (pow x 3) (cos (- (PI) (* 1/2 (PI))))) (* y (pow (sin (- (PI) (* 1/2 (PI)))) 2)))))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (- (PI) (* 1/2 (PI)))) 2)) (pow (sin (- (PI) (* 1/2 (PI)))) 3))) (* -1/8 (/ (pow x 2) (sin (- (PI) (* 1/2 (PI)))))))) y)) (* 1/2 (/ (* x (cos (- (PI) (* 1/2 (PI))))) (pow (sin (- (PI) (* 1/2 (PI)))) 2)))) y)) (/ 1 (sin (- (PI) (* 1/2 (PI))))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) x) (fma.f64 (/.f64 (*.f64 x x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 3 binary64)))) #s(literal -1/4 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (-.f64 (*.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (pow.f64 (sin.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) #s(literal 2 binary64)))) #s(literal 1/24 binary64)) (fma.f64 (/.f64 (*.f64 x x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 3 binary64)))) #s(literal -1/4 binary64))))) y) #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (pow.f64 (sin.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) #s(literal 2 binary64)))))) y) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(+ (* -1 (/ (- (+ (* -1/4 (/ (* (pow x 2) (pow (cos (neg (+ (PI) (* 1/2 (PI))))) 2)) (* y (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 3)))) (* -1/8 (/ (pow x 2) (* y (sin (neg (+ (PI) (* 1/2 (PI))))))))) (* -1/2 (/ (* x (cos (neg (+ (PI) (* 1/2 (PI)))))) (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 2)))) y)) (/ 1 (sin (neg (+ (PI) (* 1/2 (PI)))))))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sin.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64)))) (/.f64 (*.f64 x x) y) (fma.f64 (/.f64 #s(literal -1/4 binary64) y) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (sin.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (cos.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) (pow.f64 (sin.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) #s(literal 2 binary64))))))) y) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64)))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow x 3) (cos (neg (+ (PI) (* 1/2 (PI)))))) (* y (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 2)))) (+ (* 1/48 (/ (* (pow x 3) (cos (neg (+ (PI) (* 1/2 (PI)))))) (* y (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 2)))) (* 1/2 (/ (* x (* (cos (neg (+ (PI) (* 1/2 (PI))))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (neg (+ (PI) (* 1/2 (PI))))) 2)) (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 3))) (* -1/8 (/ (pow x 2) (sin (neg (+ (PI) (* 1/2 (PI)))))))))) (* y (sin (neg (+ (PI) (* 1/2 (PI)))))))))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (neg (+ (PI) (* 1/2 (PI))))) 2)) (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 3))) (* -1/8 (/ (pow x 2) (sin (neg (+ (PI) (* 1/2 (PI))))))))) y)) (* -1/2 (/ (* x (cos (neg (+ (PI) (* 1/2 (PI)))))) (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 2)))) y)) (/ 1 (sin (neg (+ (PI) (* 1/2 (PI)))))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (cos.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) (pow.f64 (sin.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) #s(literal 2 binary64)))) #s(literal -1/24 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64)))) (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) x) (fma.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (sin.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (sin.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64)))))) y))) (fma.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (sin.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (sin.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64)))))) y) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (cos.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) (pow.f64 (sin.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) #s(literal 2 binary64)))))) y) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64)))))
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(/.f64 (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal -1/2 binary64) x)) (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 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) x))) (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 #s(literal -1/2 binary64) x (fma.f64 #s(literal 1/645120 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64)))))) (neg.f64 y))

rewrite198.0ms (2.1%)

Memory
24.5MiB live, 341.8MiB allocated; 44ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041302
066282
1228256
21532243
08414243
Stop Event
iter limit
node limit
iter limit
Counts
23 → 557
Calls
Call 1
Inputs
(sin.f64 (+.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64)))
(+.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64))
(neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
(sin.f64 (neg.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))
(+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))
(neg.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))))
(pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/2 binary64))
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (PI.f64)))
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (PI.f64))))
#s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(PI.f64)
(/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
Outputs
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal 0 binary64)) #s(literal 2 binary64)))) (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))))
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(+.f64 (/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) y)) (/.f64 (*.f64 y (PI.f64)) (*.f64 #s(literal 2 binary64) y)))
(+.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (neg.f64 (pow.f64 (neg.f64 (neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (neg.f64 (neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (neg.f64 (neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (neg.f64 (neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (neg.f64 (neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 (neg.f64 (neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))) #s(literal -1 binary64))
(pow.f64 (*.f64 (neg.f64 (neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) (neg.f64 (neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (neg.f64 (neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))
(neg.f64 (pow.f64 (neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (neg.f64 (neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (neg.f64 (neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) #s(literal -1 binary64))))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 (neg.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) x)) (neg.f64 (neg.f64 y)))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/.f64 (*.f64 #s(literal -1/2 binary64) x) (neg.f64 y))
(sin.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))

eval194.0ms (2%)

Memory
-31.1MiB live, 304.1MiB allocated; 63ms collecting garbage
Compiler

Compiled 36 219 to 4 785 computations (86.8% saved)

prune78.0ms (0.8%)

Memory
6.5MiB live, 153.8MiB allocated; 16ms collecting garbage
Pruning

59 alts after pruning (53 fresh and 6 done)

PrunedKeptTotal
New84128869
Fresh92534
Picked235
Done033
Total85259911
Accuracy
59.8%
Counts
911 → 59
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.0%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
6.5%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))))
37.6%
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
38.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
7.8%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (fma.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (neg.f64 (PI.f64)))))))
8.7%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (-.f64 (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64)) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (neg.f64 (PI.f64)))))))
9.7%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))))
8.5%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))))
7.0%
(/.f64 (tan.f64 (+.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y) (+.f64 (PI.f64) (PI.f64)))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
36.7%
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))))
6.9%
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (-.f64 (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
7.3%
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
38.5%
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
7.6%
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (-.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64))))))))) (sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (PI.f64))))
6.8%
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (+.f64 (cosh.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))) (sinh.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))))))) (sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (PI.f64))))
8.2%
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (-.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (PI.f64)))) (cos.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (PI.f64))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (PI.f64)))) (sin.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (PI.f64)))))))
37.5%
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (+.f64 y y))))
9.8%
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) #s(approx (sin (+ (/ (/ x y) -2) (PI))) (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))))
4.0%
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(approx (cos (* (/ 1/2 y) x)) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))))) (sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (PI.f64))))
8.0%
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (neg.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
37.5%
(/.f64 #s(approx (tan (/ x (* y 2))) (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
9.8%
(/.f64 #s(approx (tan (/ x (* y 2))) (tan.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))) (sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (PI.f64))))
48.6%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))
48.1%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (fma.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
50.2%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
50.6%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (sin.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
50.1%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
50.4%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (neg.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
50.2%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
50.2%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1/4 binary64)) #s(literal 4 binary64)))
50.3%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 #s(approx (pow (cos (* (/ 1/2 y) x)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)))
53.3%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) (cos.f64 (-.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (PI.f64))) (*.f64 (cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (PI.f64)))))))
53.3%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (PI.f64))) (*.f64 (cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (PI.f64)))))))
53.9%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal 3 binary64)) #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal 3 binary64)) #s(literal 0 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal 0 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))) (*.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal 0 binary64))))))))
53.9%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))))
53.0%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))))))
48.6%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (PI.f64)))))
53.2%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))))
54.0%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
54.2%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64)))))
52.1%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (PI.f64)))))
52.0%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (PI.f64)))))
52.8%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) y (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal -1/2 binary64) x))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) y))))))
53.0%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (/.f64 (fma.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) y (*.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (*.f64 #s(literal -1/2 binary64) x))) (*.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) y))))))
54.0%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) y (*.f64 #s(literal -1/2 binary64) x)) y)))))
5.1%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))
54.0%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 x y) (PI.f64)))))))
53.2%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (neg (+ (+ (* -1/2 (/ x y)) (/ (PI) 2)) (PI))) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (*.f64 #s(literal -3/2 binary64) (PI.f64)))))))
53.2%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
53.1%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))))
53.1%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) (PI.f64)))))
53.2%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
53.3%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
49.6%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (sin (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI))) (fma.f64 (*.f64 x (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) y)) #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
49.2%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ 1/2 y) x)) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))))
53.9%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))))
54.0%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))))
52.9%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
3.1%
#s(literal 0 binary64)
Compiler

Compiled 4 119 to 2 509 computations (39.1% saved)

simplify273.0ms (2.8%)

Memory
13.9MiB live, 363.8MiB allocated; 100ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff2
(sin.f64 (neg.f64 (PI.f64)))
cost-diff2
(*.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64))
cost-diff2
(-.f64 (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64)) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (neg.f64 (PI.f64)))))
cost-diff7
(*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (neg.f64 (PI.f64))))
cost-diff0
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
cost-diff1
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64)))
cost-diff2
(sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64))))
cost-diff2
(pow.f64 (pow.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
cost-diff1
(+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))
cost-diff3
(sin.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
cost-diff4
(+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
cost-diff4
(+.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))
cost-diff0
(*.f64 #s(literal 1/8 binary64) x)
cost-diff0
(/.f64 (*.f64 #s(literal 1/8 binary64) x) y)
cost-diff0
(fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) y (*.f64 #s(literal -1/2 binary64) x)) y))))
cost-diff0
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) y (*.f64 #s(literal -1/2 binary64) x)) y)))))
cost-diff1
(fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) y (*.f64 #s(literal -1/2 binary64) x))
cost-diff2
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) y (*.f64 #s(literal -1/2 binary64) x)) y)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063559
0106547
1174505
2354444
3802425
41610418
54298399
08249396
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) y (*.f64 #s(literal -1/2 binary64) x)) y)))))
(/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) y (*.f64 #s(literal -1/2 binary64) x)) y))))
#s(literal 1 binary64)
(sin.f64 #s(approx (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) y (*.f64 #s(literal -1/2 binary64) x)) y)))
#s(approx (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) y (*.f64 #s(literal -1/2 binary64) x)) y))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) y (*.f64 #s(literal -1/2 binary64) x)) y)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) y (*.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(PI.f64)
y
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/8 binary64) x) y)
(*.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)
x
y
(/.f64 x y)
#s(literal 1 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(literal 1 binary64)
(sin.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))
(fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 x y)
x
y
#s(literal -1/2 binary64)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1/2 binary64))
(sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64)))
x
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(literal -1/2 binary64)
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (-.f64 (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64)) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (neg.f64 (PI.f64)))))))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
x
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
#s(approx (sin (/ x (* y 2))) (-.f64 (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64)) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (neg.f64 (PI.f64))))))
(-.f64 (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64)) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (neg.f64 (PI.f64)))))
(*.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64))
(sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))
(*.f64 (/.f64 #s(literal -1/2 binary64) y) x)
(/.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
#s(literal -1 binary64)
(*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (neg.f64 (PI.f64))))
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
(sin.f64 (neg.f64 (PI.f64)))
(neg.f64 (PI.f64))
(PI.f64)
Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) y (*.f64 #s(literal -1/2 binary64) x)) y)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)) (*.f64 (-.f64 (/.f64 x y) (PI.f64)) #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) y (*.f64 #s(literal -1/2 binary64) x)) y))))
(/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)) (*.f64 (-.f64 (/.f64 x y) (PI.f64)) #s(literal -1/2 binary64)))))
#s(literal 1 binary64)
(sin.f64 #s(approx (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) y (*.f64 #s(literal -1/2 binary64) x)) y)))
(sin.f64 #s(approx (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)) (*.f64 (-.f64 (/.f64 x y) (PI.f64)) #s(literal -1/2 binary64))))
#s(approx (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) y (*.f64 #s(literal -1/2 binary64) x)) y))
#s(approx (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)) (*.f64 (-.f64 (/.f64 x y) (PI.f64)) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) y (*.f64 #s(literal -1/2 binary64) x)) y)
(*.f64 (-.f64 (/.f64 x y) (PI.f64)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) y (*.f64 #s(literal -1/2 binary64) x))
(*.f64 (fma.f64 (PI.f64) y (neg.f64 x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(PI.f64)
y
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64))
(fma.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/8 binary64) x) y)
(*.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)
x
y
(/.f64 x y)
#s(literal 1 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1 binary64))
#s(literal 1 binary64)
(sin.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(+.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (PI.f64) #s(literal 5/2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))
(+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (*.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))
(fma.f64 #s(literal 3/2 binary64) (PI.f64) (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))
(fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (-.f64 (/.f64 x y) (PI.f64)) #s(literal -1/2 binary64))
(/.f64 x y)
x
y
#s(literal -1/2 binary64)
(/.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1 binary64))
(pow.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/2 binary64))
(sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (PI.f64)))
x
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(/.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(literal -1/2 binary64)
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (-.f64 (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64)) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (neg.f64 (PI.f64)))))))
(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
x
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) y)
y
#s(literal 2 binary64)
#s(approx (sin (/ x (* y 2))) (-.f64 (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64)) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (neg.f64 (PI.f64))))))
#s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(-.f64 (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64)) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (neg.f64 (PI.f64)))))
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64))
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))
(*.f64 (/.f64 #s(literal -1/2 binary64) y) x)
(/.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
#s(literal -1 binary64)
(*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (neg.f64 (PI.f64))))
#s(literal 0 binary64)
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
(sin.f64 (neg.f64 (PI.f64)))
#s(literal 0 binary64)
(neg.f64 (PI.f64))
(PI.f64)

localize705.0ms (7.3%)

Memory
-22.1MiB live, 830.2MiB allocated; 154ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy13.228627858054953
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
accuracy13.258204891234525
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy17.92143868476344
(PI.f64)
accuracy44.022667763771935
(sin.f64 (neg.f64 (PI.f64)))
accuracy0.05078125
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64)))
accuracy0.140625
(pow.f64 (pow.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
accuracy13.17871932338926
(sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64))))
accuracy17.92143868476344
(PI.f64)
accuracy0.014003759768442016
(+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))
accuracy0.06640625
(/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
accuracy13.084721986597085
(sin.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
accuracy17.92143868476344
(PI.f64)
accuracy0.0
(/.f64 x y)
accuracy0.0
(*.f64 #s(literal 1/8 binary64) x)
accuracy0.06869125976844201
(fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64))
accuracy14.542870509147692
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))
accuracy0.09765625
(fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) y (*.f64 #s(literal -1/2 binary64) x))
accuracy0.140625
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) y (*.f64 #s(literal -1/2 binary64) x)) y)
accuracy13.08813603626793
(sin.f64 #s(approx (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) y (*.f64 #s(literal -1/2 binary64) x)) y)))
accuracy17.92143868476344
(PI.f64)
Samples
491.0ms172×1valid
94.0ms69×1invalid
46.0ms10×2valid
3.0ms0invalid
Compiler

Compiled 427 to 55 computations (87.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 569.0ms
ival-sin: 260.0ms (45.7% of total)
ival-mult: 94.0ms (16.5% of total)
ival-cos: 47.0ms (8.3% of total)
adjust: 44.0ms (7.7% of total)
ival-add: 33.0ms (5.8% of total)
ival-tan: 31.0ms (5.4% of total)
ival-div: 30.0ms (5.3% of total)
ival-pi: 8.0ms (1.4% of total)
ival-pow: 8.0ms (1.4% of total)
ival-pow2: 5.0ms (0.9% of total)
ival-neg: 4.0ms (0.7% of total)
ival-sub: 2.0ms (0.4% of total)
exact: 1.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series77.0ms (0.8%)

Memory
4.5MiB live, 104.7MiB allocated; 28ms collecting garbage
Counts
26 → 152
Calls
Call 1
Inputs
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) y (*.f64 #s(literal -1/2 binary64) x)) y)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) y (*.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) y (*.f64 #s(literal -1/2 binary64) x)) y)))))
(/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) y (*.f64 #s(literal -1/2 binary64) x)) y))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/8 binary64) x) y)
(*.f64 #s(literal 1/8 binary64) x)
(+.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(sin.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))
(pow.f64 (pow.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (neg.f64 (PI.f64))))
(-.f64 (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64)) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (neg.f64 (PI.f64)))))
(*.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64))
(sin.f64 (neg.f64 (PI.f64)))
(PI.f64)
(sin.f64 #s(approx (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) y (*.f64 #s(literal -1/2 binary64) x)) y)))
(/.f64 x y)
(/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
Outputs
(* 1/2 (PI))
(+ (* -1/2 (/ x y)) (* 1/2 (PI)))
(* 1/2 (* y (PI)))
(+ (* -1/2 x) (* 1/2 (* y (PI))))
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 (sin (- (PI) (* 1/2 (PI)))))
(+ (* 1/2 (/ (* x (cos (- (PI) (* 1/2 (PI))))) (* y (pow (sin (- (PI) (* 1/2 (PI)))) 2)))) (/ 1 (sin (- (PI) (* 1/2 (PI))))))
(+ (* x (- (* x (- (* 1/8 (/ 1 (* (pow y 2) (sin (- (PI) (* 1/2 (PI))))))) (* -1/4 (/ (pow (cos (- (PI) (* 1/2 (PI)))) 2) (* (pow y 2) (pow (sin (- (PI) (* 1/2 (PI)))) 3)))))) (* -1/2 (/ (cos (- (PI) (* 1/2 (PI)))) (* y (pow (sin (- (PI) (* 1/2 (PI)))) 2)))))) (/ 1 (sin (- (PI) (* 1/2 (PI))))))
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1/2 (/ (* (cos (- (PI) (* 1/2 (PI)))) (- (* 1/8 (/ 1 (* (pow y 2) (sin (- (PI) (* 1/2 (PI))))))) (* -1/4 (/ (pow (cos (- (PI) (* 1/2 (PI)))) 2) (* (pow y 2) (pow (sin (- (PI) (* 1/2 (PI)))) 3)))))) (* y (sin (- (PI) (* 1/2 (PI))))))) (+ (* -1/16 (/ (cos (- (PI) (* 1/2 (PI)))) (* (pow y 3) (pow (sin (- (PI) (* 1/2 (PI)))) 2)))) (* 1/48 (/ (cos (- (PI) (* 1/2 (PI)))) (* (pow y 3) (pow (sin (- (PI) (* 1/2 (PI)))) 2)))))))) (* 1/8 (/ 1 (* (pow y 2) (sin (- (PI) (* 1/2 (PI)))))))) (* -1/4 (/ (pow (cos (- (PI) (* 1/2 (PI)))) 2) (* (pow y 2) (pow (sin (- (PI) (* 1/2 (PI)))) 3)))))) (* -1/2 (/ (cos (- (PI) (* 1/2 (PI)))) (* y (pow (sin (- (PI) (* 1/2 (PI)))) 2)))))) (/ 1 (sin (- (PI) (* 1/2 (PI))))))
(* 1/8 (/ x y))
(* 1/8 x)
(+ (* 1/2 (PI)) (* 2 (PI)))
(+ (* -1/2 (/ x y)) (+ (* 1/2 (PI)) (* 2 (PI))))
(* 2 (PI))
(+ (* -1/2 (/ x y)) (* 2 (PI)))
(sin (+ (* 1/2 (PI)) (* 2 (PI))))
(+ (sin (+ (* 1/2 (PI)) (* 2 (PI)))) (* -1/2 (/ (* x (cos (+ (* 1/2 (PI)) (* 2 (PI))))) y)))
(+ (sin (+ (* 1/2 (PI)) (* 2 (PI)))) (* x (+ (* -1/2 (/ (cos (+ (* 1/2 (PI)) (* 2 (PI)))) y)) (* -1/8 (/ (* x (sin (+ (* 1/2 (PI)) (* 2 (PI))))) (pow y 2))))))
(+ (sin (+ (* 1/2 (PI)) (* 2 (PI)))) (* x (+ (* -1/2 (/ (cos (+ (* 1/2 (PI)) (* 2 (PI)))) y)) (* x (+ (* -1/8 (/ (sin (+ (* 1/2 (PI)) (* 2 (PI)))) (pow y 2))) (* 1/48 (/ (* x (cos (+ (* 1/2 (PI)) (* 2 (PI))))) (pow y 3))))))))
(+ (PI) (* 1/2 (PI)))
(+ (PI) (+ (* -1/2 (/ x y)) (* 1/2 (PI))))
(/ 1 (sin (* 1/2 (PI))))
(+ (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (/ 1 (sin (* 1/2 (PI)))))
(+ (* x (- (* x (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* 1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1/48 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (+ (* 1/16 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (* 1/2 (/ (* (cos (* 1/2 (PI))) (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* y (sin (* 1/2 (PI)))))))))) (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI))))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* 1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))
(sin (* 1/2 (PI)))
(+ (sin (* 1/2 (PI))) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) y)))
(+ (sin (* 1/2 (PI))) (* x (+ (* -1/8 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))) (* 1/2 (/ (cos (* 1/2 (PI))) y)))))
(+ (sin (* 1/2 (PI))) (* x (+ (* 1/2 (/ (cos (* 1/2 (PI))) y)) (* x (+ (* -1/8 (/ (sin (* 1/2 (PI))) (pow y 2))) (* -1/48 (/ (* x (cos (* 1/2 (PI)))) (pow y 3))))))))
(+ (* 1/2 (PI)) (* 1/2 (/ x y)))
(sin (neg (PI)))
(+ (sin (neg (PI))) (* -1/8 (/ (* (pow x 2) (sin (neg (PI)))) (pow y 2))))
(+ (sin (neg (PI))) (* (pow x 2) (+ (* -1/8 (/ (sin (neg (PI))) (pow y 2))) (* 1/384 (/ (* (pow x 2) (sin (neg (PI)))) (pow y 4))))))
(+ (sin (neg (PI))) (* (pow x 2) (+ (* -1/8 (/ (sin (neg (PI))) (pow y 2))) (* (pow x 2) (+ (* -1/46080 (/ (* (pow x 2) (sin (neg (PI)))) (pow y 6))) (* 1/384 (/ (sin (neg (PI))) (pow y 4))))))))
(* -1 (sin (neg (PI))))
(- (* 1/2 (/ x y)) (sin (neg (PI))))
(- (* x (+ (* 1/8 (/ (* x (sin (neg (PI)))) (pow y 2))) (* 1/2 (/ 1 y)))) (sin (neg (PI))))
(- (* x (+ (* x (- (* -1/48 (/ x (pow y 3))) (* -1/8 (/ (sin (neg (PI))) (pow y 2))))) (* 1/2 (/ 1 y)))) (sin (neg (PI))))
(* 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))))
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(+ (sin (- (PI) (* 1/2 (PI)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (sin (- (PI) (* 1/2 (PI)))))) (* 1/48 (/ (* (pow x 3) (cos (- (PI) (* 1/2 (PI))))) y))) y)) (* 1/2 (* x (cos (- (PI) (* 1/2 (PI))))))) y)))
(+ (* -1 (/ (- (+ (* -1/4 (/ (* (pow x 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (PI)))) 2)) (* y (pow (sin (+ (* 1/2 (PI)) (* 2 (PI)))) 3)))) (* -1/8 (/ (pow x 2) (* y (sin (+ (* 1/2 (PI)) (* 2 (PI)))))))) (* 1/2 (/ (* x (cos (+ (* 1/2 (PI)) (* 2 (PI))))) (pow (sin (+ (* 1/2 (PI)) (* 2 (PI)))) 2)))) y)) (/ 1 (sin (+ (* 1/2 (PI)) (* 2 (PI))))))
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(* -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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Calls

6 calls:

TimeVariablePointExpression
29.0ms
y
@inf
((/ (+ (* (* 1/2 (PI)) y) (* -1/2 x)) y) (+ (* (* 1/2 (PI)) y) (* -1/2 x)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* 1/8 x) y) (/ x y)) 1) (/ (* 1/8 x) y) (* 1/8 x) (+ (+ (+ (+ (* (/ x y) -1/2) (/ (PI) 2)) (PI)) (/ (PI) 2)) (/ (PI) 2)) (+ (+ (+ (* (/ x y) -1/2) (/ (PI) 2)) (PI)) (/ (PI) 2)) (sin (+ (+ (+ (+ (* (/ x y) -1/2) (/ (PI) 2)) (PI)) (/ (PI) 2)) (/ (PI) 2))) (+ (+ (* (/ x y) -1/2) (/ (PI) 2)) (PI)) (pow (pow (sin (+ (* x (/ 1/2 y)) (/ (PI) 2))) -1/2) 2) (sin (+ (* x (/ 1/2 y)) (/ (PI) 2))) (+ (* x (/ 1/2 y)) (/ (PI) 2)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (* (cos (* (/ 1/2 y) x)) (sin (neg (PI)))) (- (* (sin (* (/ -1/2 y) x)) -1) (* (cos (* (/ 1/2 y) x)) (sin (neg (PI))))) (* (sin (* (/ -1/2 y) x)) -1) (sin (neg (PI))) (PI) (sin (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI))) (/ x y) (/ 1 (sin (+ (+ (+ (+ (* (/ x y) -1/2) (/ (PI) 2)) (PI)) (/ (PI) 2)) (/ (PI) 2)))) (tan (/ x (* y 2))) (cos (* (/ 1/2 y) x)))
15.0ms
x
@0
((/ (+ (* (* 1/2 (PI)) y) (* -1/2 x)) y) (+ (* (* 1/2 (PI)) y) (* -1/2 x)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* 1/8 x) y) (/ x y)) 1) (/ (* 1/8 x) y) (* 1/8 x) (+ (+ (+ (+ (* (/ x y) -1/2) (/ (PI) 2)) (PI)) (/ (PI) 2)) (/ (PI) 2)) (+ (+ (+ (* (/ x y) -1/2) (/ (PI) 2)) (PI)) (/ (PI) 2)) (sin (+ (+ (+ (+ (* (/ x y) -1/2) (/ (PI) 2)) (PI)) (/ (PI) 2)) (/ (PI) 2))) (+ (+ (* (/ x y) -1/2) (/ (PI) 2)) (PI)) (pow (pow (sin (+ (* x (/ 1/2 y)) (/ (PI) 2))) -1/2) 2) (sin (+ (* x (/ 1/2 y)) (/ (PI) 2))) (+ (* x (/ 1/2 y)) (/ (PI) 2)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (* (cos (* (/ 1/2 y) x)) (sin (neg (PI)))) (- (* (sin (* (/ -1/2 y) x)) -1) (* (cos (* (/ 1/2 y) x)) (sin (neg (PI))))) (* (sin (* (/ -1/2 y) x)) -1) (sin (neg (PI))) (PI) (sin (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI))) (/ x y) (/ 1 (sin (+ (+ (+ (+ (* (/ x y) -1/2) (/ (PI) 2)) (PI)) (/ (PI) 2)) (/ (PI) 2)))) (tan (/ x (* y 2))) (cos (* (/ 1/2 y) x)))
11.0ms
x
@inf
((/ (+ (* (* 1/2 (PI)) y) (* -1/2 x)) y) (+ (* (* 1/2 (PI)) y) (* -1/2 x)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* 1/8 x) y) (/ x y)) 1) (/ (* 1/8 x) y) (* 1/8 x) (+ (+ (+ (+ (* (/ x y) -1/2) (/ (PI) 2)) (PI)) (/ (PI) 2)) (/ (PI) 2)) (+ (+ (+ (* (/ x y) -1/2) (/ (PI) 2)) (PI)) (/ (PI) 2)) (sin (+ (+ (+ (+ (* (/ x y) -1/2) (/ (PI) 2)) (PI)) (/ (PI) 2)) (/ (PI) 2))) (+ (+ (* (/ x y) -1/2) (/ (PI) 2)) (PI)) (pow (pow (sin (+ (* x (/ 1/2 y)) (/ (PI) 2))) -1/2) 2) (sin (+ (* x (/ 1/2 y)) (/ (PI) 2))) (+ (* x (/ 1/2 y)) (/ (PI) 2)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (* (cos (* (/ 1/2 y) x)) (sin (neg (PI)))) (- (* (sin (* (/ -1/2 y) x)) -1) (* (cos (* (/ 1/2 y) x)) (sin (neg (PI))))) (* (sin (* (/ -1/2 y) x)) -1) (sin (neg (PI))) (PI) (sin (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI))) (/ x y) (/ 1 (sin (+ (+ (+ (+ (* (/ x y) -1/2) (/ (PI) 2)) (PI)) (/ (PI) 2)) (/ (PI) 2)))) (tan (/ x (* y 2))) (cos (* (/ 1/2 y) x)))
6.0ms
y
@-inf
((/ (+ (* (* 1/2 (PI)) y) (* -1/2 x)) y) (+ (* (* 1/2 (PI)) y) (* -1/2 x)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* 1/8 x) y) (/ x y)) 1) (/ (* 1/8 x) y) (* 1/8 x) (+ (+ (+ (+ (* (/ x y) -1/2) (/ (PI) 2)) (PI)) (/ (PI) 2)) (/ (PI) 2)) (+ (+ (+ (* (/ x y) -1/2) (/ (PI) 2)) (PI)) (/ (PI) 2)) (sin (+ (+ (+ (+ (* (/ x y) -1/2) (/ (PI) 2)) (PI)) (/ (PI) 2)) (/ (PI) 2))) (+ (+ (* (/ x y) -1/2) (/ (PI) 2)) (PI)) (pow (pow (sin (+ (* x (/ 1/2 y)) (/ (PI) 2))) -1/2) 2) (sin (+ (* x (/ 1/2 y)) (/ (PI) 2))) (+ (* x (/ 1/2 y)) (/ (PI) 2)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (* (cos (* (/ 1/2 y) x)) (sin (neg (PI)))) (- (* (sin (* (/ -1/2 y) x)) -1) (* (cos (* (/ 1/2 y) x)) (sin (neg (PI))))) (* (sin (* (/ -1/2 y) x)) -1) (sin (neg (PI))) (PI) (sin (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI))) (/ x y) (/ 1 (sin (+ (+ (+ (+ (* (/ x y) -1/2) (/ (PI) 2)) (PI)) (/ (PI) 2)) (/ (PI) 2)))) (tan (/ x (* y 2))) (cos (* (/ 1/2 y) x)))
6.0ms
x
@-inf
((/ (+ (* (* 1/2 (PI)) y) (* -1/2 x)) y) (+ (* (* 1/2 (PI)) y) (* -1/2 x)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* 1/8 x) y) (/ x y)) 1) (/ (* 1/8 x) y) (* 1/8 x) (+ (+ (+ (+ (* (/ x y) -1/2) (/ (PI) 2)) (PI)) (/ (PI) 2)) (/ (PI) 2)) (+ (+ (+ (* (/ x y) -1/2) (/ (PI) 2)) (PI)) (/ (PI) 2)) (sin (+ (+ (+ (+ (* (/ x y) -1/2) (/ (PI) 2)) (PI)) (/ (PI) 2)) (/ (PI) 2))) (+ (+ (* (/ x y) -1/2) (/ (PI) 2)) (PI)) (pow (pow (sin (+ (* x (/ 1/2 y)) (/ (PI) 2))) -1/2) 2) (sin (+ (* x (/ 1/2 y)) (/ (PI) 2))) (+ (* x (/ 1/2 y)) (/ (PI) 2)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (* (cos (* (/ 1/2 y) x)) (sin (neg (PI)))) (- (* (sin (* (/ -1/2 y) x)) -1) (* (cos (* (/ 1/2 y) x)) (sin (neg (PI))))) (* (sin (* (/ -1/2 y) x)) -1) (sin (neg (PI))) (PI) (sin (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI))) (/ x y) (/ 1 (sin (+ (+ (+ (+ (* (/ x y) -1/2) (/ (PI) 2)) (PI)) (/ (PI) 2)) (/ (PI) 2)))) (tan (/ x (* y 2))) (cos (* (/ 1/2 y) x)))

simplify283.0ms (2.9%)

Memory
28.5MiB live, 402.7MiB allocated; 45ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09515248
131544824
094274588
Stop Event
iter limit
node limit
Counts
152 → 152
Calls
Call 1
Inputs
(* 1/2 (PI))
(+ (* -1/2 (/ x y)) (* 1/2 (PI)))
(* 1/2 (* y (PI)))
(+ (* -1/2 x) (* 1/2 (* y (PI))))
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
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(/ 1 (sin (- (PI) (* 1/2 (PI)))))
(+ (* 1/2 (/ (* x (cos (- (PI) (* 1/2 (PI))))) (* y (pow (sin (- (PI) (* 1/2 (PI)))) 2)))) (/ 1 (sin (- (PI) (* 1/2 (PI))))))
(+ (* x (- (* x (- (* 1/8 (/ 1 (* (pow y 2) (sin (- (PI) (* 1/2 (PI))))))) (* -1/4 (/ (pow (cos (- (PI) (* 1/2 (PI)))) 2) (* (pow y 2) (pow (sin (- (PI) (* 1/2 (PI)))) 3)))))) (* -1/2 (/ (cos (- (PI) (* 1/2 (PI)))) (* y (pow (sin (- (PI) (* 1/2 (PI)))) 2)))))) (/ 1 (sin (- (PI) (* 1/2 (PI))))))
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Outputs
(* 1/2 (PI))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(+ (* -1/2 (/ x y)) (* 1/2 (PI)))
(*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 x y) (PI.f64)))
(* 1/2 (* y (PI)))
(*.f64 (*.f64 (PI.f64) y) #s(literal 1/2 binary64))
(+ (* -1/2 x) (* 1/2 (* y (PI))))
(*.f64 #s(literal -1/2 binary64) (-.f64 x (*.f64 (PI.f64) y)))
1
#s(literal 1 binary64)
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(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) 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 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) #s(literal 5/384 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64))
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(/ 1 (sin (- (PI) (* 1/2 (PI)))))
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(+ (* 1/2 (/ (* x (cos (- (PI) (* 1/2 (PI))))) (* y (pow (sin (- (PI) (* 1/2 (PI)))) 2)))) (/ 1 (sin (- (PI) (* 1/2 (PI))))))
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(-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal -1/48 binary64) (*.f64 #s(literal 0 binary64) (*.f64 x x))) (neg.f64 y))) (neg.f64 y)) #s(literal 0 binary64))
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(/.f64 (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal -1/2 binary64) x)) (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 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) x))) (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 #s(literal -1/2 binary64) x (fma.f64 #s(literal 1/645120 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64)))))) (neg.f64 y))
(+ (sin (- (PI) (* 1/2 (PI)))) (* -1 (/ (+ (* 1/8 (/ (* (pow x 2) (sin (- (PI) (* 1/2 (PI))))) y)) (* 1/2 (* x (cos (- (PI) (* 1/2 (PI))))))) y)))
(-.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 (fma.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 x x)) y) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))) y))
(+ (sin (- (PI) (* 1/2 (PI)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (sin (- (PI) (* 1/2 (PI)))))) (* 1/48 (/ (* (pow x 3) (cos (- (PI) (* 1/2 (PI))))) y))) y)) (* 1/2 (* x (cos (- (PI) (* 1/2 (PI))))))) y)))
(-.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) x (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) y)) (neg.f64 y))) y))
(+ (* -1 (/ (- (+ (* -1/4 (/ (* (pow x 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (PI)))) 2)) (* y (pow (sin (+ (* 1/2 (PI)) (* 2 (PI)))) 3)))) (* -1/8 (/ (pow x 2) (* y (sin (+ (* 1/2 (PI)) (* 2 (PI)))))))) (* 1/2 (/ (* x (cos (+ (* 1/2 (PI)) (* 2 (PI))))) (pow (sin (+ (* 1/2 (PI)) (* 2 (PI)))) 2)))) y)) (/ 1 (sin (+ (* 1/2 (PI)) (* 2 (PI))))))
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 x x) y)) (/.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) #s(literal -5/2 binary64))) #s(literal 2 binary64)) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 5/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 5/2 binary64)))) (/.f64 (*.f64 x x) y) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal -5/2 binary64))) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 5/2 binary64))) #s(literal 2 binary64)))))) y) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 5/2 binary64)))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (* (cos (+ (* 1/2 (PI)) (* 2 (PI)))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (PI)))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (PI)))) 3))) (* -1/8 (/ (pow x 2) (sin (+ (* 1/2 (PI)) (* 2 (PI))))))))) (* y (sin (+ (* 1/2 (PI)) (* 2 (PI))))))) (+ (* -1/48 (/ (* (pow x 3) (cos (+ (* 1/2 (PI)) (* 2 (PI))))) (* y (pow (sin (+ (* 1/2 (PI)) (* 2 (PI)))) 2)))) (* 1/16 (/ (* (pow x 3) (cos (+ (* 1/2 (PI)) (* 2 (PI))))) (* y (pow (sin (+ (* 1/2 (PI)) (* 2 (PI)))) 2)))))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (PI)))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (PI)))) 3))) (* -1/8 (/ (pow x 2) (sin (+ (* 1/2 (PI)) (* 2 (PI)))))))) y)) (* 1/2 (/ (* x (cos (+ (* 1/2 (PI)) (* 2 (PI))))) (pow (sin (+ (* 1/2 (PI)) (* 2 (PI)))) 2)))) y)) (/ 1 (sin (+ (* 1/2 (PI)) (* 2 (PI))))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal -5/2 binary64))) x) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) (/.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) #s(literal -5/2 binary64))) #s(literal 2 binary64)) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 5/2 binary64))) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (sin.f64 (*.f64 (PI.f64) #s(literal 5/2 binary64)))))) (sin.f64 (*.f64 (PI.f64) #s(literal 5/2 binary64)))) (-.f64 (*.f64 (*.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal -5/2 binary64))) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 5/2 binary64))) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) #s(literal 1/24 binary64)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) (/.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) #s(literal -5/2 binary64))) #s(literal 2 binary64)) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 5/2 binary64))) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (sin.f64 (*.f64 (PI.f64) #s(literal 5/2 binary64))))))) y) #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal -5/2 binary64))) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 5/2 binary64))) #s(literal 2 binary64))))) y) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 5/2 binary64)))))
(* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y))
(/.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal -1/24 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 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) x))) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64))) (*.f64 x x) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal -1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) 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 #s(literal -1/2 binary64) x (fma.f64 #s(literal 1/645120 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64)))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (/.f64 (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64))) (*.f64 x x) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (pow.f64 y #s(literal 6 binary64))) (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64))) (*.f64 x x) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 4 binary64))) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64))) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/92160 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 y #s(literal 6 binary64))) (*.f64 (/.f64 #s(literal -1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y)))))) (neg.f64 y))

rewrite272.0ms (2.8%)

Memory
-13.9MiB live, 410.8MiB allocated; 77ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060345
0101321
1355300
22676290
08265283
Stop Event
iter limit
node limit
iter limit
Counts
26 → 656
Calls
Call 1
Inputs
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) y (*.f64 #s(literal -1/2 binary64) x)) y)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) y (*.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) y (*.f64 #s(literal -1/2 binary64) x)) y)))))
(/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) y (*.f64 #s(literal -1/2 binary64) x)) y))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/8 binary64) x) y)
(*.f64 #s(literal 1/8 binary64) x)
(+.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(sin.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))
(pow.f64 (pow.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (neg.f64 (PI.f64))))
(-.f64 (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64)) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (neg.f64 (PI.f64)))))
(*.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64))
(sin.f64 (neg.f64 (PI.f64)))
(PI.f64)
(sin.f64 #s(approx (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) y (*.f64 #s(literal -1/2 binary64) x)) y)))
(/.f64 x y)
(/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
Outputs
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y (*.f64 (PI.f64) #s(literal 1/2 binary64))) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (PI.f64) (*.f64 x #s(literal 1/2 binary64))) y)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (*.f64 y (PI.f64)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 y (*.f64 (PI.f64) #s(literal 1/2 binary64))) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 y (*.f64 (PI.f64) #s(literal 1/2 binary64))) y) (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y (PI.f64)) x))))) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 (PI.f64) #s(literal 1/2 binary64))) y (*.f64 y (*.f64 x #s(literal -1/2 binary64))))) (neg.f64 (*.f64 y y)))
(/.f64 (-.f64 (neg.f64 (*.f64 y (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 y))
(/.f64 (-.f64 (neg.f64 (*.f64 y (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 y))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y (*.f64 (PI.f64) #s(literal 1/2 binary64))) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (PI.f64) (*.f64 x #s(literal 1/2 binary64))) y))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (*.f64 y (PI.f64)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 y (*.f64 (PI.f64) #s(literal 1/2 binary64))) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 y (*.f64 (PI.f64) #s(literal 1/2 binary64))) y) (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (PI.f64) (*.f64 x #s(literal 1/2 binary64))) y)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y (PI.f64)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 y (PI.f64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) y)))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y (PI.f64)) x)))) (neg.f64 (neg.f64 y)))
(/.f64 (fma.f64 (*.f64 y (*.f64 (PI.f64) #s(literal 1/2 binary64))) y (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) (*.f64 y y))
(/.f64 (-.f64 (pow.f64 (*.f64 y (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (PI.f64) (*.f64 x #s(literal 1/2 binary64))) y))
(/.f64 (fma.f64 (pow.f64 (*.f64 y (PI.f64)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))) (*.f64 (fma.f64 (pow.f64 (*.f64 y (PI.f64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) y))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y (PI.f64)) x))) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y (PI.f64)) x)) y)
(neg.f64 (/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y (PI.f64)) x))) y))
(neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y (PI.f64)) x)) (neg.f64 y)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 y (*.f64 (PI.f64) #s(literal 1/2 binary64))) y))
(fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (/.f64 (*.f64 y (*.f64 (PI.f64) #s(literal 1/2 binary64))) y))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (neg.f64 x) (/.f64 (*.f64 y (*.f64 (PI.f64) #s(literal 1/2 binary64))) y))
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(sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
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(-.f64 (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))))
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(+.f64 (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal 1 binary64)))
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(+.f64 (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))))
(+.f64 (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
(+.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal 1 binary64)))

eval242.0ms (2.5%)

Memory
0.3MiB live, 327.2MiB allocated; 57ms collecting garbage
Compiler

Compiled 48 911 to 6 135 computations (87.5% saved)

prune179.0ms (1.9%)

Memory
-13.6MiB live, 380.4MiB allocated; 49ms collecting garbage
Pruning

79 alts after pruning (72 fresh and 7 done)

PrunedKeptTotal
New1 011331 044
Fresh93948
Picked325
Done156
Total1 024791 103
Accuracy
59.9%
Counts
1 103 → 79
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.0%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) #s(approx (sin (/ x (* y 2))) (-.f64 (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64)) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (neg.f64 (PI.f64)))))))
37.0%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
6.5%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))))
37.6%
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
38.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
7.8%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (fma.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (neg.f64 (PI.f64)))))))
9.2%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (/.f64 (-.f64 (pow.f64 (sin.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (PI.f64))) #s(literal 3 binary64)) (*.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal 3 binary64)) #s(literal 0 binary64))) (fma.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (fma.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (sin.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (PI.f64)))) (pow.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal 2 binary64))))))
8.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (-.f64 (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64)) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))))))))
8.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (-.f64 (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64)) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)))))))))
8.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (-.f64 (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64)) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (neg.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))))))
7.7%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (-.f64 (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64)) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))))))))
9.7%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (-.f64 (sin.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (PI.f64))) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (neg.f64 (PI.f64)))))))
8.7%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (-.f64 (sin.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (neg.f64 (PI.f64)))))))
8.5%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (-.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (neg.f64 (PI.f64)))))))
9.7%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))))
8.5%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))))
1.8%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) #s(approx (- (* (sin (* (/ -1/2 y) x)) -1) (* (cos (* (/ 1/2 y) x)) (sin (neg (PI))))) #s(literal 0 binary64))))
7.0%
(/.f64 (tan.f64 (+.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y) (+.f64 (PI.f64) (PI.f64)))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
36.7%
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))))
7.3%
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
38.5%
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
7.6%
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (-.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64))))))))) (sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (PI.f64))))
6.8%
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (+.f64 (cosh.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))) (sinh.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))))))) (sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (PI.f64))))
8.2%
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (-.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (PI.f64)))) (cos.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (PI.f64))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (PI.f64)))) (sin.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (PI.f64)))))))
37.5%
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (+.f64 y y))))
9.8%
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) #s(approx (sin (+ (/ (/ x y) -2) (PI))) (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))))
4.0%
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(approx (cos (* (/ 1/2 y) x)) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))))) (sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (PI.f64))))
8.0%
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (neg.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
37.5%
(/.f64 #s(approx (tan (/ x (* y 2))) (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
9.8%
(/.f64 #s(approx (tan (/ x (* y 2))) (tan.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))) (sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (PI.f64))))
48.6%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))
49.4%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (fma.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))))))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
50.2%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
50.3%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (sin.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
48.1%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (sin.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
49.8%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x) #s(literal 2 binary64))) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
50.4%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (sin.f64 #s(approx (+ (* x (/ 1/2 y)) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (PI.f64))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
50.4%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (sin.f64 #s(approx (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y (PI.f64)) x)) y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
50.5%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (neg.f64 (cos.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (PI.f64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
50.2%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
50.2%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1/4 binary64)) #s(literal 4 binary64)))
50.3%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 #s(approx (pow (cos (* (/ 1/2 y) x)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)))
53.3%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) (cos.f64 (-.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (PI.f64))) (*.f64 (cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (PI.f64)))))))
53.3%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (PI.f64))) (*.f64 (cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (PI.f64)))))))
53.3%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))))))
53.3%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (cos.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (PI.f64))) (sin.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))))))
53.9%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal 3 binary64)) #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal 3 binary64)) #s(literal 0 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal 0 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))) (*.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal 0 binary64))))))))
52.7%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (PI.f64)))) #s(literal 0 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (PI.f64)))) #s(literal 1 binary64)) #s(literal 2 binary64))) (sin.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (/.f64 (-.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)))))))
51.0%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) (pow.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) (pow.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) #s(literal 2 binary64)))))) (*.f64 (sin.f64 (/.f64 (pow.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) (pow.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) (pow.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) #s(literal 2 binary64)))))))))
53.3%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))) (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))))))
53.0%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))))))
54.2%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (+.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (PI.f64))))))
48.6%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (PI.f64)))))
53.2%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))))
52.0%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (PI.f64)))))
52.8%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) y (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal -1/2 binary64) x))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) y))))))
53.0%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (/.f64 (fma.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) y (*.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (*.f64 #s(literal -1/2 binary64) x))) (*.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) y))))))
54.0%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (+ (+ (+ (* (/ x y) -1/2) (/ (PI) 2)) (PI)) (/ (PI) 2)) (/ (PI) 2)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 (PI.f64) #s(literal 5/2 binary64)))))))
17.1%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)) (/.f64 (fma.f64 (pow.f64 (*.f64 y (PI.f64)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))) (*.f64 (fma.f64 (pow.f64 (*.f64 y (PI.f64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) y))))))
25.6%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)) (/.f64 (fma.f64 (*.f64 y (*.f64 (PI.f64) #s(literal 1/2 binary64))) y (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) (*.f64 y y))))))
54.0%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) y (*.f64 #s(literal -1/2 binary64) x)) y)))))
51.9%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)) (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y (*.f64 (PI.f64) #s(literal 1/2 binary64))) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (PI.f64) (*.f64 x #s(literal 1/2 binary64))) y))))))
5.1%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)) (/.f64 #s(approx (+ (* (* 1/2 (PI)) y) (* -1/2 x)) (*.f64 #s(literal -1/2 binary64) x)) y)))))
54.0%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 x y) (PI.f64)))))))
53.2%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (neg (+ (+ (* -1/2 (/ x y)) (/ (PI) 2)) (PI))) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (*.f64 #s(literal -3/2 binary64) (PI.f64)))))))
53.2%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
53.1%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))))
53.2%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (PI.f64)) (PI.f64)))))
53.2%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
53.3%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
49.6%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (sin (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI))) (fma.f64 (*.f64 x (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) y)) #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
49.2%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ 1/2 y) x)) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))))
53.9%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))))
54.0%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))))
50.4%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp.f64 (*.f64 (log.f64 (sin.f64 #s(approx (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y (PI.f64)) x)) y)))) #s(literal -1 binary64))))
49.3%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (pow (pow (sin (+ (* x (/ 1/2 y)) (/ (PI) 2))) -1/2) 2) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (*.f64 x (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
53.2%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (pow (pow (sin (+ (* x (/ 1/2 y)) (/ (PI) 2))) -1/2) 2) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (PI.f64)))))))
52.9%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
3.1%
#s(literal 0 binary64)
Compiler

Compiled 7 515 to 2 686 computations (64.3% saved)

regimes220.0ms (2.3%)

Memory
17.6MiB live, 397.6MiB allocated; 34ms collecting garbage
Counts
108 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ 1/2 y) x)) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)) (/.f64 #s(approx (+ (* (* 1/2 (PI)) y) (* -1/2 x)) (*.f64 #s(literal -1/2 binary64) x)) y)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) #s(approx (- (* (sin (* (/ -1/2 y) x)) -1) (* (cos (* (/ 1/2 y) x)) (sin (neg (PI))))) #s(literal 0 binary64))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (pow (pow (sin (+ (* x (/ 1/2 y)) (/ (PI) 2))) -1/2) 2) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (PI.f64)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 x y) (PI.f64)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (PI.f64)) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (neg (+ (+ (* -1/2 (/ x y)) (/ (PI) 2)) (PI))) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (*.f64 #s(literal -3/2 binary64) (PI.f64)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (+ (+ (+ (* (/ x y) -1/2) (/ (PI) 2)) (PI)) (/ (PI) 2)) (/ (PI) 2)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 (PI.f64) #s(literal 5/2 binary64)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) y (*.f64 #s(literal -1/2 binary64) x)) y)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (+.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (PI.f64))))))
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))))
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#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (PI.f64)))) #s(literal 0 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (PI.f64)))) #s(literal 1 binary64)) #s(literal 2 binary64))) (sin.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (/.f64 (-.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (/.f64 (fma.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) y (*.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (*.f64 #s(literal -1/2 binary64) x))) (*.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) y))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (sin.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (fma.f64 (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (cos.f64 (+.f64 (PI.f64) (PI.f64))) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (+.f64 (PI.f64) (PI.f64))))))
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (-.f64 (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))) (cos.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)))) #s(approx (sin (/ x (* y 2))) (-.f64 (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64)) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (sin.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (-.f64 (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64)) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))))))))
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (+.f64 (cosh.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))) (sinh.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))))))) (sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (PI.f64))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (-.f64 (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64)) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))))))))
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (-.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (PI.f64)))) (cos.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (PI.f64))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (PI.f64)))) (sin.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (PI.f64)))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (/.f64 (-.f64 (pow.f64 (sin.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (PI.f64))) #s(literal 3 binary64)) (*.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal 3 binary64)) #s(literal 0 binary64))) (fma.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (fma.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (sin.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (PI.f64)))) (pow.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal 2 binary64))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal 3 binary64)) #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal 3 binary64)) #s(literal 0 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal 0 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))) (*.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal 0 binary64))))))))
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (-.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64))))))))) (sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (PI.f64))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) (pow.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) (pow.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) #s(literal 2 binary64)))))) (*.f64 (sin.f64 (/.f64 (pow.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) (pow.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) (pow.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) #s(literal 2 binary64)))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (fma.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))))))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (fma.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Calls

5 calls:

51.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
51.0ms
x
43.0ms
y
38.0ms
(*.f64 y #s(literal 2 binary64))
30.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
54.2%1(*.f64 y #s(literal 2 binary64))
55.9%2(/.f64 x (*.f64 y #s(literal 2 binary64)))
55.9%2(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
54.2%1x
54.2%1y
Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes18.0ms (0.2%)

Memory
3.2MiB live, 48.1MiB allocated; 3ms collecting garbage
Counts
9 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ 1/2 y) x)) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)) (/.f64 #s(approx (+ (* (* 1/2 (PI)) y) (* -1/2 x)) (*.f64 #s(literal -1/2 binary64) x)) y)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) #s(approx (- (* (sin (* (/ -1/2 y) x)) -1) (* (cos (* (/ 1/2 y) x)) (sin (neg (PI))))) #s(literal 0 binary64))))
Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Calls

5 calls:

5.0ms
y
3.0ms
(*.f64 y #s(literal 2 binary64))
3.0ms
x
3.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
3.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
53.3%1(*.f64 y #s(literal 2 binary64))
53.3%1y
53.3%1x
54.9%2(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
55.0%2(/.f64 x (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes2.0ms (0%)

Memory
8.3MiB live, 8.3MiB allocated; 0ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ 1/2 y) x)) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Calls

1 calls:

2.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
55.0%2(/.f64 x (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes11.0ms (0.1%)

Memory
-18.6MiB live, 27.3MiB allocated; 3ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ 1/2 y) x)) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))))
Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Calls

5 calls:

3.0ms
x
2.0ms
(*.f64 y #s(literal 2 binary64))
2.0ms
y
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
52.9%1x
52.9%1(*.f64 y #s(literal 2 binary64))
52.9%1y
52.9%1(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
52.9%1(/.f64 x (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes5.0ms (0.1%)

Memory
17.4MiB live, 17.4MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
Outputs
#s(literal 0 binary64)
Calls

5 calls:

1.0ms
(*.f64 y #s(literal 2 binary64))
1.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
1.0ms
x
1.0ms
y
1.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
3.1%1(/.f64 x (*.f64 y #s(literal 2 binary64)))
3.1%1(*.f64 y #s(literal 2 binary64))
3.1%1y
3.1%1x
3.1%1(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Compiler

Compiled 23 to 21 computations (8.7% saved)

bsearch1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.4258238636113894e+230
6.260925522691331e+237
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
163593310669077.5
128554008913708080.0
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
163593310669077.5
128554008913708080.0
Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify58.0ms (0.6%)

Memory
2.8MiB live, 49.0MiB allocated; 2ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039152
149152
261152
379152
4104152
5149152
6225152
7470152
81084152
92469152
106611152
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 200000000000000019913288865201023437231763100507414480577789765776579364195499071025654713918229215546984886906708190909602092302883776676472069827821800205232568508296854048530351310393361885061141818578734690631767233383163232256 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 200000000000000 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 200000000000000 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(literal 0 binary64)
Outputs
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 200000000000000019913288865201023437231763100507414480577789765776579364195499071025654713918229215546984886906708190909602092302883776676472069827821800205232568508296854048530351310393361885061141818578734690631767233383163232256 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 200000000000000 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 200000000000000 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) #s(literal -1 binary64))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 200000000000000 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 200000000000000 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1 binary64))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(literal 0 binary64)

derivations1.3s (13%)

Memory
36.1MiB live, 595.5MiB allocated; 113ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
027181
043160
187160
2272160
31707160
08782160
03161576
110061536
240331498
086801395
0833
01317
12917
211817
38247
0104017
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 152 to 40 computations (73.7% saved)

preprocess109.0ms (1.1%)

Memory
-40.3MiB live, 99.5MiB allocated; 15ms collecting garbage
Compiler

Compiled 578 to 228 computations (60.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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