Diagrams.ThreeD.Transform:aboutX from diagrams-lib-1.3.0.3, A

Time bar (total: 11.9s)

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.5s (12.9%)

Memory
-114.3MiB live, 1 836.1MiB allocated
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 680.0ms
ival-cos: 248.0ms (36.5% of total)
ival-sin: 196.0ms (28.8% of total)
ival-mult: 165.0ms (24.3% of total)
ival-sub: 60.0ms (8.8% of total)
ival-true: 7.0ms (1% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

preprocess61.0ms (0.5%)

Memory
3.2MiB live, 82.8MiB allocated
Algorithm
egg-herbie
Rules
208×lower-fma.f64
208×lower-fma.f32
178×distribute-lft-neg-in
166×associate-*r*
148×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03587
19084
216984
337584
466584
587284
6105284
7110584
8111384
9111784
089
0139
1209
2329
3449
4659
5959
61539
72239
82829
93119
103279
03279
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Outputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))

explain169.0ms (1.4%)

Memory
1.4MiB live, 215.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
00-0-(sin.f64 y)
00-0-y
00-0-(*.f64 x (cos.f64 y))
00-0-z
00-0-(cos.f64 y)
00-0-x
00-0-(*.f64 z (sin.f64 y))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
109.0ms512×0valid
Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 92.0ms
ival-cos: 61.0ms (66.3% of total)
ival-sin: 21.0ms (22.8% of total)
ival-mult: 7.0ms (7.6% of total)
ival-sub: 2.0ms (2.2% of total)
ival-true: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify18.0ms (0.1%)

Memory
-0.4MiB live, 34.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z (sin.f64 y))
cost-diff0
(cos.f64 y)
cost-diff0
(*.f64 x (cos.f64 y))
cost-diff0
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Rules
208×lower-fma.f64
208×lower-fma.f32
144×lower-*.f32
140×lower-*.f64
64×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
01324
12024
23224
34424
46524
59524
615324
722324
828224
931124
1032724
032724
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
Outputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)

localize40.0ms (0.3%)

Memory
-8.1MiB live, 71.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
accuracy100.0%
(sin.f64 y)
accuracy99.8%
(*.f64 z (sin.f64 y))
accuracy99.8%
(*.f64 x (cos.f64 y))
Samples
32.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-cos: 10.0ms (50.2% of total)
ival-sin: 5.0ms (25.1% of total)
ival-mult: 3.0ms (15.1% of total)
ival-sub: 1.0ms (5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
16.9MiB live, 16.9MiB allocated
Counts
5 → 108
Calls
Call 1
Inputs
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (cos.f64 y)>
#<alt (*.f64 z (sin.f64 y))>
#<alt (sin.f64 y)>
Outputs
#<alt (* -1 (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (- (* -1/2 (* x y)) z)))>
#<alt (+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt x>
#<alt (+ x (* -1/2 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* y z)>
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
Calls

27 calls:

TimeVariablePointExpression
1.0ms
z
@0
(- (* x (cos y)) (* z (sin y)))
1.0ms
x
@0
(- (* x (cos y)) (* z (sin y)))
1.0ms
y
@inf
(- (* x (cos y)) (* z (sin y)))
0.0ms
y
@-inf
(- (* x (cos y)) (* z (sin y)))
0.0ms
y
@0
(- (* x (cos y)) (* z (sin y)))

simplify362.0ms (3%)

Memory
-19.2MiB live, 576.4MiB allocated
Algorithm
egg-herbie
Rules
12 936×lower-fma.f64
12 936×lower-fma.f32
4 366×lower-*.f64
4 366×lower-*.f32
2 310×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112686
1339681
2933669
32680663
44621663
57358663
08230636
Stop Event
iter limit
node limit
Counts
108 → 105
Calls
Call 1
Inputs
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
Outputs
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ x (* y (- (* -1/2 (* x y)) z)))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x)
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
x
(+ x (* -1/2 (* x (pow y 2))))
(fma.f64 x (*.f64 y (*.f64 y #s(literal -1/2 binary64))) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(fma.f64 (*.f64 y (*.f64 y x)) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(fma.f64 (*.f64 y (*.f64 y x)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) x)
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* y z)
(*.f64 z y)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(*.f64 z (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(*.f64 z (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(*.f64 y (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) z))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)

rewrite482.0ms (4%)

Memory
33.2MiB live, 666.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
10 986×lower-fma.f64
10 986×lower-fma.f32
4 356×lower-*.f32
4 352×lower-*.f64
3 866×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
01321
13321
221021
3196421
0837921
Stop Event
iter limit
node limit
iter limit
Counts
5 → 232
Calls
Call 1
Inputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
(cos.f64 y)
(*.f64 z (sin.f64 y))
(sin.f64 y)
Outputs
(+.f64 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 (neg.f64 (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(+.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (neg.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))))
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) #s(literal -1 binary64)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(-.f64 (fma.f64 x (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y)))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 9 binary64)) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) (*.f64 x (*.f64 z (sin.f64 y)))) #s(literal 3 binary64))))) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (/.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 9 binary64)) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) (*.f64 x (*.f64 z (sin.f64 y)))) #s(literal 3 binary64))))) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (/.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (neg.f64 (*.f64 (cos.f64 y) (*.f64 x (*.f64 z (sin.f64 y)))))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (neg.f64 (*.f64 (cos.f64 y) (*.f64 x (*.f64 z (sin.f64 y)))))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 9 binary64)) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) (*.f64 x (*.f64 z (sin.f64 y)))) #s(literal 3 binary64))))) (fma.f64 z (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (neg.f64 (*.f64 (cos.f64 y) (*.f64 x (*.f64 z (sin.f64 y)))))))) (/.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 9 binary64)) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) (*.f64 x (*.f64 z (sin.f64 y)))) #s(literal 3 binary64))))) (fma.f64 z (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (neg.f64 (*.f64 (cos.f64 y) (*.f64 x (*.f64 z (sin.f64 y)))))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 z (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (neg.f64 (*.f64 (cos.f64 y) (*.f64 x (*.f64 z (sin.f64 y)))))))) (/.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 z (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (neg.f64 (*.f64 (cos.f64 y) (*.f64 x (*.f64 z (sin.f64 y)))))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) (/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (neg.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 9 binary64)) (*.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) (*.f64 x (*.f64 z (sin.f64 y)))) #s(literal 3 binary64)))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 9 binary64)) (*.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) (*.f64 x (*.f64 z (sin.f64 y)))) #s(literal 3 binary64)))))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (*.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (*.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))))))
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(*.f64 (pow.f64 (/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 9 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) (*.f64 x (*.f64 z (sin.f64 y)))) #s(literal 3 binary64))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))))
(exp.f64 (log.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cos.f64 y))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (cos.f64 y))))
(cos.f64 y)
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (sin.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 z)))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (sin.f64 y))))
(sin.f64 y)

eval86.0ms (0.7%)

Memory
-6.9MiB live, 67.5MiB allocated
Compiler

Compiled 15 668 to 732 computations (95.3% saved)

prune82.0ms (0.7%)

Memory
0.0MiB live, 83.7MiB allocated
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New32215337
Fresh000
Picked011
Done000
Total32216338
Accuracy
99.9%
Counts
338 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.8%
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y)))
67.7%
(fma.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
44.9%
(fma.f64 (*.f64 x (*.f64 x (cos.f64 y))) (/.f64 (cos.f64 y) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
99.8%
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
67.7%
(fma.f64 x (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
45.3%
(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
45.2%
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
17.4%
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
45.2%
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
51.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x))
52.0%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x))
53.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
61.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
40.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
Compiler

Compiled 902 to 444 computations (50.8% saved)

simplify314.0ms (2.6%)

Memory
23.7MiB live, 291.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff128
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
cost-diff128
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
cost-diff1408
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
cost-diff6272
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
cost-diff128
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
cost-diff128
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)))
cost-diff192
(+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
cost-diff960
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y)))
cost-diff0
(cos.f64 y)
cost-diff0
(*.f64 x (cos.f64 y))
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
cost-diff0
(*.f64 z y)
cost-diff0
(-.f64 x (*.f64 z y))
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
cost-diff0
(*.f64 z (sin.f64 y))
cost-diff0
(neg.f64 (*.f64 z (sin.f64 y)))
cost-diff0
(cos.f64 y)
cost-diff0
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
Rules
6 962×lower-fma.f32
6 954×lower-fma.f64
2 860×lower-*.f32
2 844×lower-*.f64
2 494×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039344
067338
1128335
2301332
31066327
43546324
56782324
08296311
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
(cos.f64 y)
y
x
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
(-.f64 x (*.f64 z y))
x
(*.f64 z y)
z
y
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y)))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))
(cos.f64 (+.f64 y y))
(+.f64 y y)
y
(neg.f64 (*.f64 z z))
(*.f64 z z)
z
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
#s(literal 1 binary64)
(+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
#s(literal 0 binary64)
(*.f64 z (sin.f64 y))
(sin.f64 y)
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
#s(literal 1 binary64)
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))
(cos.f64 (+.f64 y y))
(+.f64 y y)
(neg.f64 (*.f64 z z))
(*.f64 z z)
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
(*.f64 x x)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
Outputs
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(cos.f64 y)
y
x
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (neg.f64 z) x))
(-.f64 x (*.f64 z y))
(fma.f64 y (neg.f64 z) x)
x
(*.f64 z y)
(*.f64 y z)
z
y
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
x
(cos.f64 y)
y
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) (/.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)))
(*.f64 z (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))
(cos.f64 (+.f64 y y))
(+.f64 y y)
y
(neg.f64 (*.f64 z z))
(*.f64 z (neg.f64 z))
(*.f64 z z)
z
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
#s(literal 1 binary64)
(+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
#s(literal 0 binary64)
(*.f64 z (sin.f64 y))
(sin.f64 y)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
x
(cos.f64 y)
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 x x (*.f64 z z)) (*.f64 #s(literal 1/2 binary64) (fma.f64 x x (*.f64 z (neg.f64 z))))) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
#s(literal 1 binary64)
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 x x (*.f64 z z)) (*.f64 #s(literal 1/2 binary64) (fma.f64 x x (*.f64 z (neg.f64 z))))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 x x (*.f64 z z)) (*.f64 #s(literal 1/2 binary64) (fma.f64 x x (*.f64 z (neg.f64 z)))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))
(cos.f64 (+.f64 y y))
(+.f64 y y)
(neg.f64 (*.f64 z z))
(*.f64 z (neg.f64 z))
(*.f64 z z)
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
(*.f64 x x)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))

localize324.0ms (2.7%)

Memory
-28.0MiB live, 311.6MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.0%
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
accuracy83.7%
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
accuracy80.4%
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
accuracy61.2%
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
accuracy99.6%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
accuracy82.9%
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)))
accuracy80.4%
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
accuracy73.9%
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y)))
accuracy100.0%
(cos.f64 y)
accuracy99.8%
(*.f64 x (cos.f64 y))
accuracy61.4%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
accuracy100.0%
(*.f64 z y)
accuracy100.0%
(-.f64 x (*.f64 z y))
accuracy53.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
accuracy100.0%
(cos.f64 y)
accuracy100.0%
(sin.f64 y)
accuracy99.9%
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
accuracy99.8%
(*.f64 z (sin.f64 y))
Samples
138.0ms99×1valid
53.0ms128×0valid
43.0ms29×2valid
Compiler

Compiled 343 to 37 computations (89.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 156.0ms
adjust: 49.0ms (31.4% of total)
ival-cos: 33.0ms (21.2% of total)
ival-mult: 21.0ms (13.5% of total)
ival-div: 19.0ms (12.2% of total)
ival-sin: 15.0ms (9.6% of total)
ival-add: 11.0ms (7.1% of total)
ival-sub: 5.0ms (3.2% of total)
ival-neg: 3.0ms (1.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series60.0ms (0.5%)

Memory
24.7MiB live, 97.4MiB allocated
Counts
19 → 504
Calls
Call 1
Inputs
#<alt (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))>
#<alt (cos.f64 y)>
#<alt (neg.f64 (*.f64 z (sin.f64 y)))>
#<alt (*.f64 z (sin.f64 y))>
#<alt #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))>
#<alt (-.f64 x (*.f64 z y))>
#<alt (*.f64 z y)>
#<alt #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y)))>
#<alt (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)))>
#<alt (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))>
#<alt (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))>
#<alt (sin.f64 y)>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))>
Outputs
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (- (* -1/2 (* x y)) z)))>
#<alt (+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* x (cos y))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* y z))>
#<alt (* y (- (* 1/6 (* (pow y 2) z)) z))>
#<alt (* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z))>
#<alt (* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (* (pow y 2) z)) (* 1/120 z))) (* -1/6 z))) z))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* y z)>
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* -1 (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (- (* -1/2 (* x y)) z)))>
#<alt (+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* y z))>
#<alt (- x (* y z))>
#<alt (- x (* y z))>
#<alt (- x (* y z))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))>
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))>
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))>
#<alt x>
#<alt (* -1 (* x (- (/ (* y z) x) 1)))>
#<alt (* -1 (* x (- (/ (* y z) x) 1)))>
#<alt (* -1 (* x (- (/ (* y z) x) 1)))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* -1 (* y z)))>
#<alt (* -1 (* y z))>
#<alt (* z (- (/ x z) y))>
#<alt (* z (- (/ x z) y))>
#<alt (* z (- (/ x z) y))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 y))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 y))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 y))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* -1 (* y z)))>
#<alt (* -1 (* y z))>
#<alt (* y (- (/ x y) z))>
#<alt (* y (- (/ x y) z))>
#<alt (* y (- (/ x y) z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 z))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 z))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 z))))>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* -1 (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (- (* -1/2 (* x y)) z)))>
#<alt (+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt x>
#<alt (+ x (* -1/2 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ (* -1 z) (* y (+ (* -1 (* y (- (* -1/3 z) (* -1/6 z)))) (* -1/2 x))))))>
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (sin y))) (* x (cos y)))>
#<alt (* x (cos y))>
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))>
#<alt (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* x (cos y)) z)))>
#<alt (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* x (cos y)) z)))>
#<alt (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* x (cos y)) z)))>
#<alt (* -1 (* z (- (* 1/2 (/ 1 (sin y))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))>
#<alt (* -1 (* z (- (+ (* -1 (/ (* x (cos y)) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))>
#<alt (* -1 (* z (- (+ (* -1 (/ (* x (cos y)) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))>
#<alt (* -1 (* z (- (+ (* -1 (/ (* x (cos y)) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))>
#<alt (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (sin y))))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (sin y))))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (sin y))))))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (sin y))))))>
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#<alt (/ 1 (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (/ 1 (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (/ 1 (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (/ 1 (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (/ 1 (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))))>
#<alt (/ 1 (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))))>
#<alt (/ 1 (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))))>
#<alt (/ 1 (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))))>
#<alt (/ 1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (/ 1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2))))>
#<alt (+ (* (pow z 2) (- (/ (* (pow z 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)) (* (pow x 6) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 3))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (/ 1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (+ (* (pow z 2) (- (* (pow z 2) (- (/ (* (pow z 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)) (* (pow x 8) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 4))) (* -1 (/ (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2) (* (pow x 6) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 3)))))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (/ 1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (/ -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (/ (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (/ 1 (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow z 2))>
#<alt (/ (- (* -1 (/ (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (+ (/ 1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))) (pow z 2))>
#<alt (/ (- (* -1 (/ (* (pow x 6) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 3)) (* (pow z 6) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 4)))) (+ (/ 1 (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))) (/ (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))))) (pow z 2))>
#<alt (/ -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
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#<alt (/ (- (* -1 (/ (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (+ (/ 1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))) (pow z 2))>
#<alt (/ (- (* -1 (/ (* (pow x 6) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 3)) (* (pow z 6) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 4)))) (+ (/ 1 (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))) (/ (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))))) (pow z 2))>
#<alt (/ -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* -1 (* (pow x 2) (+ (* 1/2 (/ 1 (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* 1/2 (/ (cos (* 2 y)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))))) (/ 1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (- (* (pow x 2) (- (* -1 (/ (* (pow x 2) (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (+ (* 1/2 (/ (cos (* 2 y)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* 1/2 (/ 1 (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))) (+ (* 1/2 (/ 1 (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* 1/2 (/ (cos (* 2 y)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))))) (/ 1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (* (pow x 2) (* (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2) (+ (* 1/2 (/ (cos (* 2 y)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* 1/2 (/ 1 (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))))) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (/ (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (+ (* 1/2 (/ (cos (* 2 y)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* 1/2 (/ 1 (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))) (+ (* 1/2 (/ 1 (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* 1/2 (/ (cos (* 2 y)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))))) (/ 1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (/ 1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
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#<alt (/ (- (+ (/ 1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)) (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2))))) (pow x 2))>
#<alt (/ (- (+ (/ 1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow z 6) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)) (* (pow x 6) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 4)))) (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* -1 (/ (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)) (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 3)))))) (pow x 2))>
#<alt (/ 1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (/ (+ (/ 1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (pow x 2))>
#<alt (/ (- (+ (/ 1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)) (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2))))) (pow x 2))>
#<alt (/ (- (+ (/ 1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow z 6) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)) (* (pow x 6) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 4)))) (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* -1 (/ (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)) (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 3)))))) (pow x 2))>
Calls

126 calls:

TimeVariablePointExpression
12.0ms
z
@0
(+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (/ 1 (+ 0 (* z (sin y))))) (* x (cos y)))
4.0ms
z
@inf
(/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))))))
3.0ms
y
@0
(* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z)))
1.0ms
y
@-inf
(+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (/ 1 (+ 0 (* z (sin y))))) (* x (cos y)))
1.0ms
y
@inf
(+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (/ 1 (+ 0 (* z (sin y))))) (* x (cos y)))

simplify401.0ms (3.4%)

Memory
-11.9MiB live, 700.0MiB allocated
Algorithm
egg-herbie
Rules
9 022×lower-fma.f64
9 022×lower-fma.f32
8 076×lower-*.f64
8 076×lower-*.f32
2 996×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06688178
122527964
084067670
Stop Event
iter limit
node limit
Counts
504 → 493
Calls
Call 1
Inputs
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* y z))
(* y (- (* 1/6 (* (pow y 2) z)) z))
(* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z))
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (* (pow y 2) z)) (* 1/120 z))) (* -1/6 z))) z))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* y z))
(- x (* y z))
(- x (* y z))
(- x (* y z))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (+ 1 (* -1 (/ (* y z) x))))
x
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (/ (* y z) x) 1)))
x
(+ x (* -1 (* y z)))
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(* -1 (* y z))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
x
(+ x (* -1 (* y z)))
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(* -1 (* y z))
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(* y (- (/ x y) z))
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(* -1 (* y z))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
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(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* -1 (* z (sin y)))
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(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
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x
(+ x (* -1/2 (* x (pow y 2))))
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(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1 (* y (- (* -1/3 z) (* -1/6 z)))) (* -1/2 x))))))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (sin y))) (* x (cos y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (sin y))) (* x (cos y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (sin y))) (* x (cos y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (sin y))) (* x (cos y)))
(* x (cos y))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))
(* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* x (cos y)) z)))
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(/ 1 (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(/ 1 (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))))
(/ 1 (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))))
(/ 1 (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))))
(/ 1 (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))))
(/ 1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (/ 1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2))))
(+ (* (pow z 2) (- (/ (* (pow z 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)) (* (pow x 6) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 3))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (/ 1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(+ (* (pow z 2) (- (* (pow z 2) (- (/ (* (pow z 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)) (* (pow x 8) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 4))) (* -1 (/ (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2) (* (pow x 6) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 3)))))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (/ 1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(/ -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(/ (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (/ 1 (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow z 2))
(/ (- (* -1 (/ (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (+ (/ 1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))) (pow z 2))
(/ (- (* -1 (/ (* (pow x 6) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 3)) (* (pow z 6) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 4)))) (+ (/ 1 (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))) (/ (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))))) (pow z 2))
(/ -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(/ (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (/ 1 (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow z 2))
(/ (- (* -1 (/ (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (+ (/ 1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))) (pow z 2))
(/ (- (* -1 (/ (* (pow x 6) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 3)) (* (pow z 6) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 4)))) (+ (/ 1 (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))) (/ (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))))) (pow z 2))
(/ -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(- (* -1 (* (pow x 2) (+ (* 1/2 (/ 1 (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* 1/2 (/ (cos (* 2 y)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))))) (/ 1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(- (* (pow x 2) (- (* -1 (/ (* (pow x 2) (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (+ (* 1/2 (/ (cos (* 2 y)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* 1/2 (/ 1 (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))) (+ (* 1/2 (/ 1 (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* 1/2 (/ (cos (* 2 y)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))))) (/ 1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(- (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (* (pow x 2) (* (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2) (+ (* 1/2 (/ (cos (* 2 y)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* 1/2 (/ 1 (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))))) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (/ (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (+ (* 1/2 (/ (cos (* 2 y)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* 1/2 (/ 1 (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))) (+ (* 1/2 (/ 1 (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* 1/2 (/ (cos (* 2 y)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))))) (/ 1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(/ 1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(/ (+ (/ 1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (pow x 2))
(/ (- (+ (/ 1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)) (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2))))) (pow x 2))
(/ (- (+ (/ 1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow z 6) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)) (* (pow x 6) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 4)))) (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* -1 (/ (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)) (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 3)))))) (pow x 2))
(/ 1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(/ (+ (/ 1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (pow x 2))
(/ (- (+ (/ 1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)) (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2))))) (pow x 2))
(/ (- (+ (/ 1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow z 6) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)) (* (pow x 6) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 4)))) (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* -1 (/ (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)) (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 3)))))) (pow x 2))
Outputs
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 y z))
(+ x (* y (- (* -1/2 (* x y)) z)))
(fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x)
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64)))) (neg.f64 z)) x)
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (-.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y)) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (-.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y)) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (-.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y)) (neg.f64 x))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
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(* -1 (* z (sin y)))
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(* -1 (* z (sin y)))
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(* -1 (* z (sin y)))
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(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* y z))
(*.f64 y (neg.f64 z))
(* y (- (* 1/6 (* (pow y 2) z)) z))
(*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (neg.f64 z)))
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (* (pow y 2) z)) (* 1/120 z))) (* -1/6 z))) z))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
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(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
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(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* y z)
(*.f64 y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(*.f64 y (fma.f64 y (*.f64 z (*.f64 #s(literal -1/6 binary64) y)) z))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
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(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (-.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y)) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (-.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y)) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (-.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y)) (neg.f64 x))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 y z))
(+ x (* y (- (* -1/2 (* x y)) z)))
(fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x)
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64)))) (neg.f64 z)) x)
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
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(* z (- (/ (* x (cos y)) z) (sin y)))
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(- (* (pow x 2) (- (* -1 (/ (* (pow x 2) (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (+ (* 1/2 (/ (cos (* 2 y)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* 1/2 (/ 1 (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))) (+ (* 1/2 (/ 1 (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* 1/2 (/ (cos (* 2 y)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))))) (/ 1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(fma.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (*.f64 z z))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (*.f64 z z))))
(- (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (* (pow x 2) (* (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2) (+ (* 1/2 (/ (cos (* 2 y)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* 1/2 (/ 1 (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))))) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (/ (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (+ (* 1/2 (/ (cos (* 2 y)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* 1/2 (/ 1 (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))) (+ (* 1/2 (/ 1 (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* 1/2 (/ (cos (* 2 y)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))))) (/ 1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (*.f64 z z))))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (*.f64 z z))))
(/ 1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/ (+ (/ 1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (pow x 2))
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (/.f64 (*.f64 z z) (*.f64 (*.f64 x x) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (*.f64 x x))
(/ (- (+ (/ 1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)) (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2))))) (pow x 2))
(/.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (/.f64 (*.f64 z z) (*.f64 (*.f64 x x) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (*.f64 x x))
(/ (- (+ (/ 1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow z 6) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)) (* (pow x 6) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 4)))) (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* -1 (/ (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)) (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 3)))))) (pow x 2))
(/.f64 (-.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) #s(literal 3 binary64)) (/.f64 (pow.f64 z #s(literal 6 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (neg.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (*.f64 z z)) (*.f64 (*.f64 x x) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))))))) (*.f64 x x))
(/ 1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/ (+ (/ 1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (pow x 2))
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (/.f64 (*.f64 z z) (*.f64 (*.f64 x x) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (*.f64 x x))
(/ (- (+ (/ 1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)) (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2))))) (pow x 2))
(/.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (/.f64 (*.f64 z z) (*.f64 (*.f64 x x) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (*.f64 x x))
(/ (- (+ (/ 1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow z 6) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)) (* (pow x 6) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 4)))) (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* -1 (/ (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)) (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 3)))))) (pow x 2))
(/.f64 (-.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) #s(literal 3 binary64)) (/.f64 (pow.f64 z #s(literal 6 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (neg.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (*.f64 z z)) (*.f64 (*.f64 x x) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))))))) (*.f64 x x))

rewrite825.0ms (6.9%)

Memory
31.7MiB live, 816.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 248×lower-fma.f32
4 240×lower-fma.f64
3 614×lower-*.f32
3 598×lower-*.f64
3 144×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039222
067174
1266136
22186124
09041124
Stop Event
iter limit
node limit
iter limit
Counts
19 → 1 475
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
(cos.f64 y)
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
(-.f64 x (*.f64 z y))
(*.f64 z y)
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y)))
(+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(sin.f64 y)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
Outputs
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) x)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 (neg.f64 z) (neg.f64 (sin.f64 y))))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 (neg.f64 (neg.f64 z)) (sin.f64 y)))
(+.f64 #s(literal 0 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))
(+.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal 0 binary64))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))))
(+.f64 (*.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) (*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(+.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) (*.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(+.f64 (fma.f64 (cos.f64 y) x #s(literal 0 binary64)) (*.f64 z (sin.f64 y)))
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) #s(literal 0 binary64)) (*.f64 z (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) #s(literal -1 binary64))))
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(*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))))
(pow.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)))) #s(literal 1 binary64))
(pow.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)))) (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))))))

eval396.0ms (3.3%)

Memory
-22.2MiB live, 786.8MiB allocated
Compiler

Compiled 93 259 to 4 988 computations (94.7% saved)

prune259.0ms (2.2%)

Memory
-13.9MiB live, 674.6MiB allocated
Pruning

31 alts after pruning (28 fresh and 3 done)

PrunedKeptTotal
New2 313262 339
Fresh8210
Picked325
Done011
Total2 324312 355
Accuracy
100.0%
Counts
2 355 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.6%
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (sin.f64 y)) z)) (*.f64 x (cos.f64 y)))
99.7%
(fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))))
99.8%
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
45.3%
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
34.0%
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
60.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))
99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
52.0%
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x))
90.7%
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (*.f64 (fma.f64 z (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (cos.f64 y))) (neg.f64 x)))
41.8%
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (*.f64 (fma.f64 x (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y))) (neg.f64 z)))
61.1%
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
26.0%
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (/.f64 z (sin.f64 y)))))
53.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
51.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x))
51.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64)))) (neg.f64 z)) x))
33.8%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
22.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))))))
33.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
22.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)))))
33.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
61.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
37.8%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
37.8%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
39.9%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
40.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
45.3%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
46.6%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (-.f64 (/.f64 x z) y))))
40.3%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (-.f64 (/.f64 x y) z))))
16.7%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))
37.8%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 y (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y))))) x)))
73.9%
#s(approx (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (/ 1 (+ 0 (* z (sin y))))) (* x (cos y))) (*.f64 x (fma.f64 (neg.f64 z) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (*.f64 x (sin.f64 y))) (cos.f64 y))))
Compiler

Compiled 1 180 to 665 computations (43.6% saved)

simplify349.0ms (2.9%)

Memory
-4.4MiB live, 667.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 (*.f64 y #s(literal -2 binary64)))
cost-diff0
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
cost-diff0
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
cost-diff0
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
cost-diff0
(fma.f64 y z x)
cost-diff0
(*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
cost-diff1792
(/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x))
cost-diff0
(*.f64 y (*.f64 x #s(literal -1/2 binary64)))
cost-diff0
(-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z)
cost-diff0
(fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x)
cost-diff0
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x))
cost-diff0
#s(approx (cos y) #s(literal 1 binary64))
cost-diff0
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
cost-diff0
(cos.f64 y)
cost-diff0
(fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))))
cost-diff1280
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))
Rules
11 862×lower-fma.f32
11 854×lower-fma.f64
4 312×lower-*.f32
4 296×lower-*.f64
1 588×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054301
080307
1150299
2315271
3825265
42744261
55822259
08490253
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))))
(cos.f64 y)
y
x
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
#s(literal 1 binary64)
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
x
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x))
(fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x)
y
(-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z)
(*.f64 y (*.f64 x #s(literal -1/2 binary64)))
(*.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
z
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
(/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x))
(*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))
(fma.f64 y z x)
y
z
x
(-.f64 x (*.f64 y z))
(*.f64 y z)
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
(/.f64 x (cos.f64 y))
x
(cos.f64 y)
Outputs
(fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(cos.f64 y)
y
x
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))
(neg.f64 (*.f64 z (sin.f64 y)))
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
#s(literal 1 binary64)
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
x
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x))
(fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x)
y
(-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z)
(*.f64 y (*.f64 x #s(literal -1/2 binary64)))
(*.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
z
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 y z)))
(/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x))
(-.f64 x (*.f64 y z))
(*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))
(fma.f64 y z x)
y
z
x
(-.f64 x (*.f64 y z))
(*.f64 y z)
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
(/.f64 x (cos.f64 y))
x
(cos.f64 y)

localize187.0ms (1.6%)

Memory
25.8MiB live, 375.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(/.f64 x (cos.f64 y))
accuracy99.7%
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
accuracy99.2%
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
accuracy61.4%
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
accuracy100.0%
(-.f64 x (*.f64 y z))
accuracy99.8%
(*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))
accuracy54.1%
(/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x))
accuracy53.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
accuracy100.0%
(*.f64 x #s(literal -1/2 binary64))
accuracy100.0%
(-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z)
accuracy100.0%
(fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x)
accuracy52.0%
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x))
accuracy99.8%
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
accuracy61.4%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
accuracy56.0%
#s(approx (cos y) #s(literal 1 binary64))
accuracy99.9%
(fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))))
accuracy99.8%
(*.f64 z (sin.f64 y))
accuracy99.6%
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
accuracy98.9%
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))
Samples
76.0ms189×0valid
59.0ms67×1valid
Compiler

Compiled 260 to 50 computations (80.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 108.0ms
ival-cos: 36.0ms (33.2% of total)
ival-mult: 27.0ms (24.9% of total)
ival-div: 12.0ms (11.1% of total)
ival-add: 10.0ms (9.2% of total)
ival-sub: 7.0ms (6.5% of total)
adjust: 7.0ms (6.5% of total)
ival-sin: 6.0ms (5.5% of total)
ival-neg: 1.0ms (0.9% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series40.0ms (0.3%)

Memory
20.7MiB live, 56.9MiB allocated
Counts
23 → 624
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))>
#<alt (fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))))>
#<alt (cos.f64 y)>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))>
#<alt #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))>
#<alt (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))>
#<alt #s(approx (cos y) #s(literal 1 binary64))>
#<alt #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x))>
#<alt (fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x)>
#<alt (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z)>
#<alt (*.f64 y (*.f64 x #s(literal -1/2 binary64)))>
#<alt (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x))>
#<alt #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))>
#<alt (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))>
#<alt (fma.f64 y z x)>
#<alt #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))>
#<alt (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))>
#<alt (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))>
#<alt (cos.f64 (*.f64 y #s(literal -2 binary64)))>
#<alt (*.f64 z (sin.f64 y))>
#<alt (*.f64 x #s(literal -1/2 binary64))>
#<alt (-.f64 x (*.f64 y z))>
#<alt (/.f64 x (cos.f64 y))>
Outputs
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* y z))>
#<alt (* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))>
#<alt (* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z)))))>
#<alt (* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z))))))))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* x (cos y))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))>
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))>
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* y z))>
#<alt (/ (+ (* 1/6 (/ (pow y 2) z)) (/ 1 z)) y)>
#<alt (/ (+ (* (pow y 2) (+ (* 7/360 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) y)>
#<alt (/ (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 31/15120 (/ (pow y 2) z)) (* 7/360 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) y)>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (- (* -1/2 (* x y)) z)))>
#<alt (+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt x>
#<alt (+ x (* -1/2 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))>
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (- (* x (- (+ (* 1/2 (/ 1 (* z (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* z (sin y))))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))))>
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (- (* x (- (+ (* -1 (/ (* x (* (cos y) (- (+ (* 1/2 (/ 1 (* z (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* z (sin y))))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))))) (* z (sin y)))) (+ (* 1/2 (/ 1 (* z (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* z (sin y)))))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))>
#<alt (* x (- (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (+ (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))>
#<alt (* x (- (+ (* -1 (/ (* z (* (sin y) (- (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3)))))) (* (pow x 3) (cos y)))) (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))) (+ (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* z (* (sin y) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* x (cos y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x)))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (- (* y (- (* -1 x) (* -1/2 x))) z)))>
#<alt (+ x (* y (- (* y (- (+ (* -1 x) (* -1 (* y (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 x) (* -1/2 x))) x)))))) (* -1/2 x))) z)))>
#<alt (/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ (* x (cos y)) (* z (sin y))))>
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#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* z (* (sin y) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* x (cos y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x)))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (- (* y (- (* -1 x) (* -1/2 x))) z)))>
#<alt (+ x (* y (- (* y (- (+ (* -1 x) (* -1 (* y (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 x) (* -1/2 x))) x)))))) (* -1/2 x))) z)))>
#<alt (/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (+ (* z (- (* z (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (+ (* z (- (* z (- (+ (* -1 (/ (* z (* (sin y) (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3))))))) (* x (cos y)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y))))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))))>
#<alt (* z (- (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y)))) (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3))))))>
#<alt (* z (- (+ (* -1 (/ (* x (* (cos y) (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))))) (* (pow z 3) (sin y)))) (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y))))) (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3))))))>
#<alt (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))>
#<alt (* -1 (* z (- (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))) z)) (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))>
#<alt (* -1 (* z (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (* (cos y) (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))))) (* z (sin y)))) (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))) z)) (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))>
#<alt x>
#<alt (+ x (* (pow y 2) (- (* -1 x) (* -1/2 x))))>
#<alt (+ x (* (pow y 2) (- (+ (* -1 x) (* (pow y 2) (- (* 1/3 x) (+ (* -1/2 (- (* -1 x) (* -1/2 x))) (* 1/24 x))))) (* -1/2 x))))>
#<alt (+ x (* (pow y 2) (- (+ (* -1 x) (* (pow y 2) (- (+ (* 1/3 x) (* (pow y 2) (- (* -2/45 x) (+ (* -1/2 (- (* 1/3 x) (+ (* -1/2 (- (* -1 x) (* -1/2 x))) (* 1/24 x)))) (+ (* -1/720 x) (* 1/24 (- (* -1 x) (* -1/2 x)))))))) (+ (* -1/2 (- (* -1 x) (* -1/2 x))) (* 1/24 x))))) (* -1/2 x))))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt 1>
#<alt (+ 1 (* -1 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt 1>
#<alt (+ 1 (* -2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* y z)>
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1 (* y z))>
#<alt (- x (* y z))>
#<alt (- x (* y z))>
#<alt (- x (* y z))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))>
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))>
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))>
#<alt x>
#<alt (* -1 (* x (- (/ (* y z) x) 1)))>
#<alt (* -1 (* x (- (/ (* y z) x) 1)))>
#<alt (* -1 (* x (- (/ (* y z) x) 1)))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* -1 (* y z)))>
#<alt (* -1 (* y z))>
#<alt (* y (- (/ x y) z))>
#<alt (* y (- (/ x y) z))>
#<alt (* y (- (/ x y) z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 z))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 z))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 z))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* -1 (* y z)))>
#<alt (* -1 (* y z))>
#<alt (* z (- (/ x z) y))>
#<alt (* z (- (/ x z) y))>
#<alt (* z (- (/ x z) y))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 y))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 y))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 y))))>
#<alt (/ x (cos y))>
#<alt (/ x (cos y))>
#<alt (/ x (cos y))>
#<alt (/ x (cos y))>
#<alt (/ x (cos y))>
#<alt (/ x (cos y))>
#<alt (/ x (cos y))>
#<alt (/ x (cos y))>
#<alt (/ x (cos y))>
#<alt (/ x (cos y))>
#<alt (/ x (cos y))>
#<alt (/ x (cos y))>
#<alt x>
#<alt (+ x (* 1/2 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/4 x) (* 1/24 x)))) (* -1/2 x))))>
#<alt (+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/720 x) (+ (* 1/48 x) (* 1/2 (+ (* -1/4 x) (* 1/24 x))))))) (+ (* -1/4 x) (* 1/24 x)))) (* -1/2 x))))>
#<alt (/ x (cos y))>
#<alt (/ x (cos y))>
#<alt (/ x (cos y))>
#<alt (/ x (cos y))>
#<alt (/ x (cos y))>
#<alt (/ x (cos y))>
#<alt (/ x (cos y))>
#<alt (/ x (cos y))>
Calls

156 calls:

TimeVariablePointExpression
6.0ms
y
@-inf
(+ (* y (- (* y (* x -1/2)) z)) x)
6.0ms
y
@0
(* (+ (* y z) x) (- x (* y z)))
2.0ms
x
@0
(* (+ (* 1/2 (cos (* y -2))) 1/2) (/ x (cos y)))
1.0ms
y
@inf
(* (+ (* 1/2 (cos (* y -2))) 1/2) (/ x (cos y)))
1.0ms
y
@-inf
(* (+ (* 1/2 (cos (* y -2))) 1/2) (/ x (cos y)))

simplify420.0ms (3.5%)

Memory
-3.0MiB live, 594.3MiB allocated
Algorithm
egg-herbie
Rules
10 152×lower-fma.f64
10 152×lower-fma.f32
6 934×lower-*.f64
6 934×lower-*.f32
3 380×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06568331
122267931
278407881
081187457
Stop Event
iter limit
node limit
Counts
624 → 603
Calls
Call 1
Inputs
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* y z))
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z)))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z))))))))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* y z))
(/ (+ (* 1/6 (/ (pow y 2) z)) (/ 1 z)) y)
(/ (+ (* (pow y 2) (+ (* 7/360 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) y)
(/ (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 31/15120 (/ (pow y 2) z)) (* 7/360 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) y)
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(* x (cos y))
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(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
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(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x)))))
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x
(+ x (* -1 (* y z)))
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(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ (* x (cos y)) (* z (sin y))))
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ (* x (cos y)) (* z (sin y))))
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ (* x (cos y)) (* z (sin y))))
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ (* x (cos y)) (* z (sin y))))
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (+ (* x (cos y)) (* z (sin y))))
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (+ (* x (cos y)) (* z (sin y))))
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (+ (* x (cos y)) (* z (sin y))))
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (+ (* x (cos y)) (* z (sin y))))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+ (* z (- (* z (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
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(* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))))
(* z (- (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y)))) (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3))))))
(* z (- (+ (* -1 (/ (* x (* (cos y) (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))))) (* (pow z 3) (sin y)))) (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y))))) (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3))))))
(* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
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(* -1 (* z (- (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))) z)) (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))
(* -1 (* z (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (* (cos y) (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))))) (* z (sin y)))) (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))) z)) (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))
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(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
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1
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1
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(cos (* -2 y))
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(* y z)
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(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
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(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
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(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
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(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
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(* -1 (* y z))
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(- x (* y z))
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(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (+ 1 (* -1 (/ (* y z) x))))
x
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (/ (* y z) x) 1)))
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x
(+ x (* -1 (* y z)))
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(/ x (cos y))
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x
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(/ x (cos y))
(/ x (cos y))
(/ x (cos y))
(/ x (cos y))
(/ x (cos y))
(/ x (cos y))
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Outputs
(* -1 (* z (sin y)))
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(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
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(* -1 (* z (sin y)))
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(* -1 (* z (sin y)))
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(* -1 (* z (sin y)))
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(* -1 (* z (sin y)))
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(* -1 (* z (sin y)))
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(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z))))))))
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(* -1 (* z (sin y)))
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x
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(fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x)
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(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
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(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
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(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
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(*.f64 x (cos.f64 y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
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(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
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(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
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(* x (cos y))
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(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
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(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
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(*.f64 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
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(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(*.f64 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))
(* -1 (* z (sin y)))
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(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(*.f64 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
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(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow y 2)))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -2/45 binary64) #s(literal 1/3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 2/3 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* y z)
(*.f64 z y)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(*.f64 y (fma.f64 z (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) z))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) z))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 z #s(literal -1/6 binary64))) z))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1 (* y z))
(*.f64 z (neg.f64 y))
(- x (* y z))
(-.f64 x (*.f64 z y))
(- x (* y z))
(-.f64 x (*.f64 z y))
(- x (* y z))
(-.f64 x (*.f64 z y))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(fma.f64 (neg.f64 x) (/.f64 (*.f64 z y) x) x)
(* x (+ 1 (* -1 (/ (* y z) x))))
(fma.f64 (neg.f64 x) (/.f64 (*.f64 z y) x) x)
(* x (+ 1 (* -1 (/ (* y z) x))))
(fma.f64 (neg.f64 x) (/.f64 (*.f64 z y) x) x)
x
(* -1 (* x (- (/ (* y z) x) 1)))
(*.f64 (neg.f64 x) (fma.f64 y (/.f64 z x) #s(literal -1 binary64)))
(* -1 (* x (- (/ (* y z) x) 1)))
(*.f64 (neg.f64 x) (fma.f64 y (/.f64 z x) #s(literal -1 binary64)))
(* -1 (* x (- (/ (* y z) x) 1)))
(*.f64 (neg.f64 x) (fma.f64 y (/.f64 z x) #s(literal -1 binary64)))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(* -1 (* y z))
(*.f64 z (neg.f64 y))
(* y (- (/ x y) z))
(*.f64 y (-.f64 (/.f64 x y) z))
(* y (- (/ x y) z))
(*.f64 y (-.f64 (/.f64 x y) z))
(* y (- (/ x y) z))
(*.f64 y (-.f64 (/.f64 x y) z))
(* -1 (* y z))
(*.f64 z (neg.f64 y))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(*.f64 y (-.f64 (/.f64 x y) z))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(*.f64 y (-.f64 (/.f64 x y) z))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(*.f64 y (-.f64 (/.f64 x y) z))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(* -1 (* y z))
(*.f64 z (neg.f64 y))
(* z (- (/ x z) y))
(*.f64 z (-.f64 (/.f64 x z) y))
(* z (- (/ x z) y))
(*.f64 z (-.f64 (/.f64 x z) y))
(* z (- (/ x z) y))
(*.f64 z (-.f64 (/.f64 x z) y))
(* -1 (* y z))
(*.f64 z (neg.f64 y))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(*.f64 z (-.f64 (/.f64 x z) y))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(*.f64 z (-.f64 (/.f64 x z) y))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(*.f64 z (-.f64 (/.f64 x z) y))
(/ x (cos y))
(/.f64 x (cos.f64 y))
(/ x (cos y))
(/.f64 x (cos.f64 y))
(/ x (cos y))
(/.f64 x (cos.f64 y))
(/ x (cos y))
(/.f64 x (cos.f64 y))
(/ x (cos y))
(/.f64 x (cos.f64 y))
(/ x (cos y))
(/.f64 x (cos.f64 y))
(/ x (cos y))
(/.f64 x (cos.f64 y))
(/ x (cos y))
(/.f64 x (cos.f64 y))
(/ x (cos y))
(/.f64 x (cos.f64 y))
(/ x (cos y))
(/.f64 x (cos.f64 y))
(/ x (cos y))
(/.f64 x (cos.f64 y))
(/ x (cos y))
(/.f64 x (cos.f64 y))
x
(+ x (* 1/2 (* x (pow y 2))))
(fma.f64 (*.f64 y y) (*.f64 x #s(literal 1/2 binary64)) x)
(+ x (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/4 x) (* 1/24 x)))) (* -1/2 x))))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 x #s(literal 5/24 binary64)) (*.f64 x #s(literal 1/2 binary64))) x)
(+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/720 x) (+ (* 1/48 x) (* 1/2 (+ (* -1/4 x) (* 1/24 x))))))) (+ (* -1/4 x) (* 1/24 x)))) (* -1/2 x))))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y (neg.f64 y)) (fma.f64 x #s(literal 7/360 binary64) (*.f64 x #s(literal -5/48 binary64))) (*.f64 x #s(literal 5/24 binary64))) (*.f64 x #s(literal 1/2 binary64))) x)
(/ x (cos y))
(/.f64 x (cos.f64 y))
(/ x (cos y))
(/.f64 x (cos.f64 y))
(/ x (cos y))
(/.f64 x (cos.f64 y))
(/ x (cos y))
(/.f64 x (cos.f64 y))
(/ x (cos y))
(/.f64 x (cos.f64 y))
(/ x (cos y))
(/.f64 x (cos.f64 y))
(/ x (cos y))
(/.f64 x (cos.f64 y))
(/ x (cos y))
(/.f64 x (cos.f64 y))

rewrite379.0ms (3.2%)

Memory
-2.8MiB live, 642.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 380×lower-fma.f32
6 372×lower-fma.f64
4 886×lower-*.f32
4 870×lower-*.f64
4 208×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054273
080279
1323184
22507184
09700184
Stop Event
iter limit
node limit
iter limit
Counts
23 → 566
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))
(fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))))
(cos.f64 y)
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
#s(approx (cos y) #s(literal 1 binary64))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x))
(fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x)
(-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z)
(*.f64 y (*.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
(*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))
(fma.f64 y z x)
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 z (sin.f64 y))
(*.f64 x #s(literal -1/2 binary64))
(-.f64 x (*.f64 y z))
(/.f64 x (cos.f64 y))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
(pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) (neg.f64 z)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 (*.f64 z (sin.f64 y)) #s(literal -1 binary64))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (neg.f64 (sin.f64 y)) z)
(*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) z)
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z)) (sin.f64 y))
(+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) (neg.f64 z)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)))))
(+.f64 (*.f64 (neg.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) (*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(+.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) (*.f64 (neg.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) #s(literal -1 binary64)) (*.f64 (log.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))))) #s(literal -1 binary64))))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))))
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(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z y) (*.f64 (*.f64 z z) (*.f64 y y)))) (-.f64 x (*.f64 z y))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z y) (*.f64 (*.f64 z z) (*.f64 y y)))))
(/.f64 (*.f64 (*.f64 (fma.f64 z y x) (-.f64 (*.f64 z y) x)) (-.f64 x (*.f64 z y))) (*.f64 (-.f64 (*.f64 z y) x) (fma.f64 z y x)))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 z y) (fma.f64 z y x))) (-.f64 x (*.f64 z y)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 z y) (fma.f64 z y x)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 z y) (fma.f64 z y x))) (-.f64 x (*.f64 z y)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x (neg.f64 (*.f64 z y)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 x (*.f64 z y)) (neg.f64 (fma.f64 z y x)))) (neg.f64 (neg.f64 (fma.f64 z y x))))
(/.f64 (*.f64 (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y))) #s(literal 1 binary64)) (fma.f64 z y x))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z y) (*.f64 (*.f64 z z) (*.f64 y y)))) (/.f64 (-.f64 x (*.f64 z y)) (fma.f64 z y x))) (fma.f64 z (*.f64 y (*.f64 z y)) (*.f64 x (-.f64 x (*.f64 z y)))))
(/.f64 (*.f64 (*.f64 (fma.f64 z y x) (-.f64 (*.f64 z y) x)) (/.f64 (-.f64 x (*.f64 z y)) (fma.f64 z y x))) (-.f64 (*.f64 z y) x))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 (*.f64 z y) (fma.f64 z y x)))) (*.f64 (fma.f64 x x (*.f64 (*.f64 z y) (fma.f64 z y x))) (*.f64 (*.f64 z y) (*.f64 (*.f64 z z) (*.f64 y y))))) (*.f64 (fma.f64 x x (*.f64 (*.f64 z y) (fma.f64 z y x))) (fma.f64 x x (*.f64 (*.f64 z y) (fma.f64 z y x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 z y x)) (*.f64 (fma.f64 z y x) (*.f64 (*.f64 z z) (*.f64 y y)))) (*.f64 (fma.f64 z y x) (fma.f64 z y x)))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z y) (*.f64 (*.f64 z z) (*.f64 y y)))) (-.f64 x (*.f64 z y)))) (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z y) (*.f64 (*.f64 z z) (*.f64 y y))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 z y x) (-.f64 (*.f64 z y) x)) (-.f64 x (*.f64 z y)))) (neg.f64 (*.f64 (-.f64 (*.f64 z y) x) (fma.f64 z y x))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 z y) (fma.f64 z y x))) (-.f64 x (*.f64 z y))))) (neg.f64 (neg.f64 (fma.f64 x x (*.f64 (*.f64 z y) (fma.f64 z y x))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 x (*.f64 z y)) (neg.f64 (fma.f64 z y x))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 z y x)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y))) #s(literal 1 binary64))) (neg.f64 (fma.f64 z y x)))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z y) (*.f64 (*.f64 z z) (*.f64 y y)))) (/.f64 (-.f64 x (*.f64 z y)) (fma.f64 z y x)))) (neg.f64 (fma.f64 z (*.f64 y (*.f64 z y)) (*.f64 x (-.f64 x (*.f64 z y))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 z y x) (-.f64 (*.f64 z y) x)) (/.f64 (-.f64 x (*.f64 z y)) (fma.f64 z y x)))) (neg.f64 (-.f64 (*.f64 z y) x)))
(/.f64 (fma.f64 (*.f64 (*.f64 z z) (*.f64 y y)) (neg.f64 (*.f64 z y)) (*.f64 x (*.f64 x x))) (fma.f64 z (*.f64 y (*.f64 z y)) (-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 z y)) x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x x (*.f64 (*.f64 z y) (fma.f64 z y x))) (*.f64 (fma.f64 x x (*.f64 (*.f64 z y) (fma.f64 z y x))) (-.f64 x (*.f64 z y)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y)))
(*.f64 (fma.f64 z y x) (/.f64 (-.f64 x (*.f64 z y)) (fma.f64 z y x)))
(*.f64 (-.f64 x (*.f64 z y)) (*.f64 (fma.f64 z y x) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
(*.f64 (-.f64 x (*.f64 z y)) (/.f64 (fma.f64 z y x) (fma.f64 z y x)))
(*.f64 (*.f64 (-.f64 x (*.f64 z y)) (neg.f64 (fma.f64 z y x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z y x))))
(*.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 z y) (fma.f64 z y x))) (-.f64 x (*.f64 z y))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 z y) (fma.f64 z y x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y x)) (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y x)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y)))) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y))) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))
(*.f64 (/.f64 (-.f64 x (*.f64 z y)) (fma.f64 z y x)) (fma.f64 z y x))
(*.f64 (/.f64 (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z y) (*.f64 (*.f64 z z) (*.f64 y y))))) (fma.f64 z (*.f64 y (*.f64 z y)) (*.f64 x (-.f64 x (*.f64 z y)))))
(*.f64 (/.f64 (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y))) (*.f64 (fma.f64 z y x) (-.f64 (*.f64 z y) x))) (-.f64 (*.f64 z y) x))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 y))) (/.f64 x (neg.f64 (cos.f64 y))))
(neg.f64 (/.f64 x (neg.f64 (cos.f64 y))))
(neg.f64 (/.f64 (neg.f64 x) (cos.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 y) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 y) x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 y) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 y) x))))
(/.f64 x (cos.f64 y))
(/.f64 (neg.f64 x) (neg.f64 (cos.f64 y)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (cos.f64 y))))
(/.f64 (*.f64 x #s(literal 1 binary64)) (cos.f64 y))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 y)))))
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (cos.f64 y)))
(pow.f64 (/.f64 (cos.f64 y) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (cos.f64 y) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 y)))
(*.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 y)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))

eval193.0ms (1.6%)

Memory
9.5MiB live, 321.6MiB allocated
Compiler

Compiled 29 641 to 2 190 computations (92.6% saved)

prune189.0ms (1.6%)

Memory
-13.1MiB live, 308.4MiB allocated
Pruning

45 alts after pruning (40 fresh and 5 done)

PrunedKeptTotal
New1 209301 239
Fresh131023
Picked325
Done033
Total1 225451 270
Accuracy
100.0%
Counts
1 270 → 45
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.6%
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (sin.f64 y)) z)) (*.f64 x (cos.f64 y)))
99.6%
(fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z)))
99.8%
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
77.8%
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))))
45.3%
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
60.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))
99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
61.1%
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 (/.f64 x (cos.f64 y)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) (*.f64 (/.f64 x (cos.f64 y)) #s(literal 1/2 binary64))))
13.7%
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))) (*.f64 z (*.f64 z z))) (fma.f64 z (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (*.f64 y x))))) x))
36.6%
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z))) x))
37.9%
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y #s(approx (- (* y (* x -1/2)) z) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) x))
53.3%
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y #s(approx (- (* y (* x -1/2)) z) (neg.f64 z)) x))
24.6%
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) (/.f64 x (cos.f64 y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))))
24.7%
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (/.f64 (cos.f64 y) x))))
61.1%
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
61.1%
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
41.8%
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)))))
26.8%
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y)))))
26.0%
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (/.f64 z (sin.f64 y)))))
16.7%
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 z (neg.f64 y))))
8.9%
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 y (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (/.f64 z (neg.f64 y)))))))
2.9%
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) x))))
37.8%
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ x (cos y))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal 1/3 binary64)) (fma.f64 x #s(literal 1/24 binary64) (*.f64 x #s(literal 1/4 binary64)))) (*.f64 x #s(literal -1/2 binary64))) x)))
51.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x))
51.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64)))) (neg.f64 z)) x))
31.8%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z))))))
14.0%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (*.f64 z y))))
32.5%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* y z) x) (fma.f64 y (/.f64 (*.f64 z x) x) x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
14.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* y z) x) (*.f64 z y)) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
8.9%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 (*.f64 y (neg.f64 y)) (fma.f64 z z (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 x x) y)) #s(literal 0 binary64)) y)))) (fma.f64 y z x)))
8.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 z (*.f64 z (*.f64 y (neg.f64 y))))) (fma.f64 y z x)))
22.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 x x)) (fma.f64 y z x)))
53.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y)))))
33.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y x)) (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y)))))
52.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 x (*.f64 z y)) (*.f64 (fma.f64 z y x) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))))
22.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)))))
85.8%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y))))
61.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
37.8%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
39.9%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
40.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
45.3%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* y z) x) (- x (* y z))) (+ (* y z) x)) (*.f64 (neg.f64 x) (fma.f64 y (/.f64 z x) #s(literal -1 binary64)))))
46.6%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* y z) x) (- x (* y z))) (+ (* y z) x)) (*.f64 z (-.f64 (/.f64 x z) y))))
40.3%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* y z) x) (- x (* y z))) (+ (* y z) x)) (*.f64 y (-.f64 (/.f64 x y) z))))
37.8%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 y (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y))))) x)))
Compiler

Compiled 1 704 to 971 computations (43% saved)

simplify375.0ms (3.1%)

Memory
6.0MiB live, 408.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
cost-diff0
(*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y))))
cost-diff0
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y)))))
cost-diff128
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y)))
cost-diff0
(*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))
cost-diff0
(/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z)))))
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z))))))
cost-diff832
(*.f64 z (+.f64 y (/.f64 x z)))
cost-diff0
(-.f64 x (*.f64 z y))
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y)))
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y)))))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 z (neg.f64 y))
cost-diff0
#s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 z (neg.f64 y)))
cost-diff0
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 z (neg.f64 y))))
cost-diff0
(cos.f64 y)
cost-diff0
(fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z)))
cost-diff384
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z)
cost-diff1280
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z))
Rules
11 626×lower-fma.f32
11 620×lower-fma.f64
4 752×lower-*.f32
4 738×lower-*.f64
1 370×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067377
095366
1185354
2386350
31015341
43128337
56494337
08320326
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z)))
(cos.f64 y)
y
x
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z))
#s(literal -1 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z)
(/.f64 #s(literal 1 binary64) (sin.f64 y))
#s(literal 1 binary64)
(sin.f64 y)
z
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 z (neg.f64 y))))
#s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 z (neg.f64 y)))
(*.f64 z (neg.f64 y))
z
(neg.f64 y)
y
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y)))
(-.f64 x (*.f64 z y))
x
(*.f64 z y)
z
y
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z))))))
(/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z)))))
(*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))
(fma.f64 y z x)
y
z
x
(-.f64 x (*.f64 y z))
(*.f64 y z)
#s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z))))
(*.f64 z (+.f64 y (/.f64 x z)))
(+.f64 y (/.f64 x z))
(/.f64 x z)
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y)))))
(*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y))))
z
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
#s(literal 1/2 binary64)
(neg.f64 (sin.f64 y))
(sin.f64 y)
Outputs
(fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(cos.f64 y)
y
x
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z))
(neg.f64 (*.f64 (sin.f64 y) z))
#s(literal -1 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z)
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))
(/.f64 #s(literal 1 binary64) (sin.f64 y))
#s(literal 1 binary64)
(sin.f64 y)
z
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 z (neg.f64 y))))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 y (neg.f64 z))))
#s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 z (neg.f64 y)))
#s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 y (neg.f64 z)))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
z
(neg.f64 y)
y
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 y z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
(-.f64 x (*.f64 y z))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y)))
(/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))
(-.f64 x (*.f64 z y))
(-.f64 x (*.f64 y z))
x
(*.f64 z y)
(*.f64 y z)
z
y
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (fma.f64 y z x))))
(/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z)))))
(/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (fma.f64 y z x)))
(*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))
(fma.f64 y z x)
y
z
x
(-.f64 x (*.f64 y z))
(*.f64 y z)
#s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z))))
#s(approx (+ (* y z) x) (fma.f64 y z x))
(*.f64 z (+.f64 y (/.f64 x z)))
(fma.f64 y z x)
(+.f64 y (/.f64 x z))
(/.f64 x z)
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y)))))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (/.f64 z (sin.f64 y))))
(*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (/.f64 z (sin.f64 y)))
z
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (sin.f64 y))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
#s(literal 1/2 binary64)
(neg.f64 (sin.f64 y))
(sin.f64 y)

localize428.0ms (3.6%)

Memory
-16.3MiB live, 506.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y))))
accuracy80.4%
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
accuracy72.0%
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y)))
accuracy40.4%
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y)))))
accuracy99.8%
(*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))
accuracy86.0%
(*.f64 z (+.f64 y (/.f64 x z)))
accuracy54.1%
(/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z)))))
accuracy53.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z))))))
accuracy100.0%
(-.f64 x (*.f64 z y))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
accuracy99.4%
(/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y)))
accuracy53.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y)))))
accuracy100.0%
(*.f64 z (neg.f64 y))
accuracy100.0%
(neg.f64 y)
accuracy52.0%
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 z (neg.f64 y))))
accuracy33.6%
#s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 z (neg.f64 y)))
accuracy99.9%
(fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z)))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (sin.f64 y))
accuracy99.6%
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z)
accuracy98.9%
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z))
Samples
159.0ms128×0valid
109.0ms74×2valid
34.0ms21×3valid
28.0ms33×1valid
Compiler

Compiled 302 to 61 computations (79.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 291.0ms
ival-cos: 134.0ms (46% of total)
ival-mult: 70.0ms (24% of total)
adjust: 30.0ms (10.3% of total)
ival-div: 23.0ms (7.9% of total)
ival-add: 14.0ms (4.8% of total)
ival-sub: 10.0ms (3.4% of total)
ival-sin: 6.0ms (2.1% of total)
ival-neg: 3.0ms (1% of total)
exact: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series31.0ms (0.3%)

Memory
28.8MiB live, 66.7MiB allocated
Counts
21 → 588
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z)>
#<alt (fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z)))>
#<alt (cos.f64 y)>
#<alt #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 z (neg.f64 y))))>
#<alt #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 z (neg.f64 y)))>
#<alt (*.f64 z (neg.f64 y))>
#<alt (neg.f64 y)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))>
#<alt #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y)))))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y)))>
#<alt (-.f64 x (*.f64 z y))>
#<alt (*.f64 z (+.f64 y (/.f64 x z)))>
#<alt #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z))))))>
#<alt (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z)))))>
#<alt (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))>
#<alt (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y)))>
#<alt #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y)))))>
#<alt (*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y))))>
#<alt (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (sin.f64 y))>
Outputs
#<alt (* -1 (* y z))>
#<alt (* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))>
#<alt (* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z)))))>
#<alt (* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z))))))))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (/ 1 (* y z))>
#<alt (/ (+ (* 1/6 (/ (pow y 2) z)) (/ 1 z)) y)>
#<alt (/ (+ (* (pow y 2) (+ (* 7/360 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) y)>
#<alt (/ (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 31/15120 (/ (pow y 2) z)) (* 7/360 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) y)>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))>
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#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))>
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))>
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))>
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))>
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))>
#<alt (* -1 (* y z))>
#<alt (* y (+ (* -1 z) (* -1 (* (pow y 2) (- (* -1/3 z) (* -1/6 z))))))>
#<alt (* y (+ (* -1 z) (* (pow y 2) (+ (* -1 (* (pow y 2) (- (* 2/45 z) (+ (* -1/6 (- (* -1/3 z) (* -1/6 z))) (* 1/120 z))))) (* -1 (- (* -1/3 z) (* -1/6 z)))))))>
#<alt (* y (+ (* -1 z) (* (pow y 2) (+ (* -1 (- (* -1/3 z) (* -1/6 z))) (* (pow y 2) (+ (* -1 (* (pow y 2) (- (* -1/315 z) (+ (* -1/6 (- (* 2/45 z) (+ (* -1/6 (- (* -1/3 z) (* -1/6 z))) (* 1/120 z)))) (+ (* -1/5040 z) (* 1/120 (- (* -1/3 z) (* -1/6 z)))))))) (* -1 (- (* 2/45 z) (+ (* -1/6 (- (* -1/3 z) (* -1/6 z))) (* 1/120 z))))))))))>
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))>
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))>
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))>
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))>
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))>
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))>
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))>
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* -1/3 (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 y))))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* 1/6 (pow y 2))) y)>
#<alt (/ (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) y)>
#<alt (/ (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) y)>
#<alt (/ 1 (sin y))>
#<alt (/ 1 (sin y))>
#<alt (/ 1 (sin y))>
#<alt (/ 1 (sin y))>
#<alt (/ 1 (sin y))>
#<alt (/ 1 (sin y))>
#<alt (/ 1 (sin y))>
#<alt (/ 1 (sin y))>
Calls

147 calls:

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

simplify510.0ms (4.3%)

Memory
-26.2MiB live, 618.4MiB allocated
Algorithm
egg-herbie
Rules
9 188×lower-fma.f64
9 188×lower-fma.f32
7 080×lower-*.f64
7 080×lower-*.f32
3 308×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07858640
126098225
084747807
Stop Event
iter limit
node limit
Counts
588 → 566
Calls
Call 1
Inputs
(* -1 (* y z))
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z)))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z))))))))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(/ 1 (* y z))
(/ (+ (* 1/6 (/ (pow y 2) z)) (/ 1 z)) y)
(/ (+ (* (pow y 2) (+ (* 7/360 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) y)
(/ (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 31/15120 (/ (pow y 2) z)) (* 7/360 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) y)
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
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(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
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(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (- (* x (- (+ (* 1/2 (/ 1 (* z (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* z (sin y))))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (- (* x (- (+ (* -1 (/ (* x (* (cos y) (- (+ (* 1/2 (/ 1 (* z (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* z (sin y))))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))))) (* z (sin y)))) (+ (* 1/2 (/ 1 (* z (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* z (sin y)))))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))
(* x (- (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (+ (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))
(* x (- (+ (* -1 (/ (* z (* (sin y) (- (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3)))))) (* (pow x 3) (cos y)))) (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))) (+ (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x)))))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* z (* (sin y) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* x (cos y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x)))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* y (- (* -1 x) (* -1/2 x))) z)))
(+ x (* y (- (* y (- (+ (* -1 x) (* -1 (* y (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 x) (* -1/2 x))) x)))))) (* -1/2 x))) z)))
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ (* x (cos y)) (* z (sin y))))
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(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ (* x (cos y)) (* z (sin y))))
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (+ (* x (cos y)) (* z (sin y))))
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(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (+ (* x (cos y)) (* z (sin y))))
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (+ (* x (cos y)) (* z (sin y))))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
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(+ (* z (- (* z (- (+ (* -1 (/ (* z (* (sin y) (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3))))))) (* x (cos y)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y))))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
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(* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))))
(* z (- (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y)))) (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3))))))
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(* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(* -1 (* z (- (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))
(* -1 (* z (- (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))) z)) (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))
(* -1 (* z (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (* (cos y) (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))))) (* z (sin y)))) (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))) z)) (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
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(* (pow y 2) (- (+ (* -1/2 x) (/ x (pow y 2))) (/ z y)))
(* (pow y 2) (- (+ (* -1/2 x) (/ x (pow y 2))) (/ z y)))
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(* (pow y 2) (+ (* -1 (/ (+ z (* -1 (/ x y))) y)) (* -1/2 x)))
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x
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x
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(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (/ (* y z) x) 1)))
x
(+ x (* -1 (* y z)))
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(* -1 (* z (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (* (cos y) (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))))) (* z (sin y)))) (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))) z)) (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(* -1 (* y z))
(* y (+ (* -1 z) (* -1 (* (pow y 2) (- (* -1/3 z) (* -1/6 z))))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1 (* (pow y 2) (- (* 2/45 z) (+ (* -1/6 (- (* -1/3 z) (* -1/6 z))) (* 1/120 z))))) (* -1 (- (* -1/3 z) (* -1/6 z)))))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1 (- (* -1/3 z) (* -1/6 z))) (* (pow y 2) (+ (* -1 (* (pow y 2) (- (* -1/315 z) (+ (* -1/6 (- (* 2/45 z) (+ (* -1/6 (- (* -1/3 z) (* -1/6 z))) (* 1/120 z)))) (+ (* -1/5040 z) (* 1/120 (- (* -1/3 z) (* -1/6 z)))))))) (* -1 (- (* 2/45 z) (+ (* -1/6 (- (* -1/3 z) (* -1/6 z))) (* 1/120 z))))))))))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(pow y 2)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(/ 1 y)
(/ (+ 1 (* 1/6 (pow y 2))) y)
(/ (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) y)
(/ (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) y)
(/ 1 (sin y))
(/ 1 (sin y))
(/ 1 (sin y))
(/ 1 (sin y))
(/ 1 (sin y))
(/ 1 (sin y))
(/ 1 (sin y))
(/ 1 (sin y))
Outputs
(* -1 (* y z))
(*.f64 y (neg.f64 z))
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))
(*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z)))))
(*.f64 y (fma.f64 (*.f64 (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) y) y (neg.f64 z)))
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z))))))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(/ 1 (* y z))
(/.f64 #s(literal 1 binary64) (*.f64 y z))
(/ (+ (* 1/6 (/ (pow y 2) z)) (/ 1 z)) y)
(/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z)) y)
(/ (+ (* (pow y 2) (+ (* 7/360 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) y)
(/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 7/360 binary64) (/.f64 #s(literal 1/6 binary64) z)) y) y (/.f64 #s(literal 1 binary64) z)) y)
(/ (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 31/15120 (/ (pow y 2) z)) (* 7/360 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) y)
(/.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 31/15120 binary64) (/.f64 #s(literal 7/360 binary64) z)) (/.f64 #s(literal 1/6 binary64) z)) (/.f64 #s(literal 1 binary64) z)) y)
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 y z))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x)
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(neg.f64 (*.f64 x (-.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(neg.f64 (*.f64 x (-.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(neg.f64 (*.f64 x (-.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y))))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y))))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))
(fma.f64 (*.f64 x (cos.f64 y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y)))))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (- (* x (- (+ (* 1/2 (/ 1 (* z (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* z (sin y))))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))))
(-.f64 (*.f64 x (fma.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1/2 binary64) (*.f64 z (sin.f64 y)))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (/.f64 (*.f64 (cos.f64 y) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (- (* x (- (+ (* -1 (/ (* x (* (cos y) (- (+ (* 1/2 (/ 1 (* z (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* z (sin y))))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))))) (* z (sin y)))) (+ (* 1/2 (/ 1 (* z (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* z (sin y)))))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))))
(fma.f64 x (fma.f64 x (fma.f64 (neg.f64 x) (/.f64 (*.f64 (cos.f64 y) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1/2 binary64) (*.f64 z (sin.f64 y)))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))) (*.f64 z (sin.f64 y))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1/2 binary64) (*.f64 z (sin.f64 y)))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))) (/.f64 (*.f64 (cos.f64 y) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y)))))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
(* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))
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(* x (- (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (+ (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))
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(* -1 (* z (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (* (cos y) (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))))) (* z (sin y)))) (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))) z)) (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))
(*.f64 (neg.f64 z) (+.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 (*.f64 (cos.f64 y) (neg.f64 (*.f64 (*.f64 x x) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))))) (*.f64 z (sin.f64 y))) (neg.f64 (*.f64 (*.f64 x x) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))))) z)) (/.f64 (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 z)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y))))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y))))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y))))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y))))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y))))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y))))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y))))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y))))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y))))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y))))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y))))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y))))
(* -1 (* y z))
(*.f64 y (neg.f64 z))
(* y (+ (* -1 z) (* -1 (* (pow y 2) (- (* -1/3 z) (* -1/6 z))))))
(*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1 (* (pow y 2) (- (* 2/45 z) (+ (* -1/6 (- (* -1/3 z) (* -1/6 z))) (* 1/120 z))))) (* -1 (- (* -1/3 z) (* -1/6 z)))))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y (neg.f64 y)) (-.f64 (*.f64 z #s(literal 2/45 binary64)) (fma.f64 z #s(literal 1/36 binary64) (*.f64 z #s(literal 1/120 binary64)))) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1 (- (* -1/3 z) (* -1/6 z))) (* (pow y 2) (+ (* -1 (* (pow y 2) (- (* -1/315 z) (+ (* -1/6 (- (* 2/45 z) (+ (* -1/6 (- (* -1/3 z) (* -1/6 z))) (* 1/120 z)))) (+ (* -1/5040 z) (* 1/120 (- (* -1/3 z) (* -1/6 z)))))))) (* -1 (- (* 2/45 z) (+ (* -1/6 (- (* -1/3 z) (* -1/6 z))) (* 1/120 z))))))))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y (neg.f64 y)) (-.f64 (fma.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal -1/315 binary64)) (fma.f64 #s(literal -1/6 binary64) (-.f64 (*.f64 z #s(literal 2/45 binary64)) (fma.f64 z #s(literal 1/36 binary64) (*.f64 z #s(literal 1/120 binary64)))) (fma.f64 z #s(literal -1/720 binary64) (*.f64 z #s(literal -1/5040 binary64))))) (*.f64 z #s(literal 2/45 binary64))) (fma.f64 z #s(literal 1/36 binary64) (*.f64 z #s(literal 1/120 binary64)))) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y))))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y))))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y))))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y))))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y))))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y))))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y))))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))
(*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y))))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/315 binary64) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (* 1/6 (pow y 2))) y)
(/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) y)
(/ (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) y)
(/.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) y)
(/ (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) y)
(/.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) y)
(/ 1 (sin y))
(/.f64 #s(literal 1 binary64) (sin.f64 y))
(/ 1 (sin y))
(/.f64 #s(literal 1 binary64) (sin.f64 y))
(/ 1 (sin y))
(/.f64 #s(literal 1 binary64) (sin.f64 y))
(/ 1 (sin y))
(/.f64 #s(literal 1 binary64) (sin.f64 y))
(/ 1 (sin y))
(/.f64 #s(literal 1 binary64) (sin.f64 y))
(/ 1 (sin y))
(/.f64 #s(literal 1 binary64) (sin.f64 y))
(/ 1 (sin y))
(/.f64 #s(literal 1 binary64) (sin.f64 y))
(/ 1 (sin y))
(/.f64 #s(literal 1 binary64) (sin.f64 y))

rewrite379.0ms (3.2%)

Memory
1.2MiB live, 638.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 614×lower-*.f32
4 600×lower-*.f64
3 908×lower-/.f32
3 892×lower-/.f64
3 628×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067309
095301
1405230
22978230
08856225
Stop Event
iter limit
node limit
iter limit
Counts
21 → 559
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z)
(fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z)))
(cos.f64 y)
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 z (neg.f64 y))))
#s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 z (neg.f64 y)))
(*.f64 z (neg.f64 y))
(neg.f64 y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y)))))
(/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y)))
(-.f64 x (*.f64 z y))
(*.f64 z (+.f64 y (/.f64 x z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z))))))
(/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z)))))
(*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y)))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y)))))
(*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (sin.f64 y))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))
(neg.f64 (*.f64 (sin.f64 y) z))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))
(/.f64 (sin.f64 y) (neg.f64 (/.f64 #s(literal 1 binary64) z)))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal 1 binary64) z))
(/.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(/.f64 (neg.f64 (neg.f64 z)) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) (neg.f64 z)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 (sin.f64 y) (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)))
(*.f64 (sin.f64 y) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64))
(*.f64 (neg.f64 (sin.f64 y)) z)
(*.f64 (neg.f64 (sin.f64 y)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(*.f64 (neg.f64 z) (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) (neg.f64 z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (sin.f64 y) (neg.f64 z))))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z)
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (neg.f64 (neg.f64 z)))
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 z))
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 (neg.f64 (neg.f64 z))))
(/.f64 (/.f64 #s(literal 1 binary64) z) (sin.f64 y))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 (sin.f64 y)))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z)) (neg.f64 (sin.f64 y)))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z))) (sin.f64 y))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) #s(literal 1 binary64))
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(*.f64 (pow.f64 (/.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (cos.f64 y) x))
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(neg.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) z))
(neg.f64 (*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))))
(neg.f64 (/.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 (sin.f64 y)) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sin.f64 y)) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(/.f64 z (/.f64 (neg.f64 (sin.f64 y)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 z) (neg.f64 (/.f64 (neg.f64 (sin.f64 y)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (sin.f64 y)))
(/.f64 (neg.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 y))
(/.f64 (*.f64 z #s(literal 1 binary64)) (/.f64 (neg.f64 (sin.f64 y)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/.f64 (*.f64 z (neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 y))
(/.f64 (*.f64 #s(literal 1 binary64) z) (/.f64 (neg.f64 (sin.f64 y)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) z) (sin.f64 y))
(/.f64 (/.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (sin.f64 y))
(/.f64 (neg.f64 (*.f64 z #s(literal 1 binary64))) (neg.f64 (/.f64 (neg.f64 (sin.f64 y)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) z)) (neg.f64 (/.f64 (neg.f64 (sin.f64 y)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (neg.f64 (sin.f64 y)))
(/.f64 (neg.f64 (*.f64 z (neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (neg.f64 (sin.f64 y)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) z)) (neg.f64 (sin.f64 y)))
(/.f64 (neg.f64 (/.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -1 binary64))) (neg.f64 (sin.f64 y)))
(pow.f64 (/.f64 (neg.f64 (sin.f64 y)) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z))
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y))) z)
(*.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64))))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/4 binary64)))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/4 binary64)))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/4 binary64)))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64))))))) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/4 binary64)))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/4 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64))))))) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/4 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64))))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/4 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64))))))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/4 binary64)))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/4 binary64))))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (sin.f64 y))
(pow.f64 (sin.f64 y) #s(literal -1 binary64))
(pow.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (sin.f64 y))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 1 binary64))
(*.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)))

eval212.0ms (1.8%)

Memory
24.1MiB live, 293.3MiB allocated
Compiler

Compiled 24 612 to 2 073 computations (91.6% saved)

prune194.0ms (1.6%)

Memory
-29.8MiB live, 305.7MiB allocated
Pruning

48 alts after pruning (41 fresh and 7 done)

PrunedKeptTotal
New1 112131 125
Fresh72835
Picked325
Done055
Total1 122481 170
Accuracy
100.0%
Counts
1 170 → 48
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.3%
(fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) z)))
99.8%
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
77.7%
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z)))
77.8%
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))))
45.3%
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
60.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))
99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
61.1%
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 (/.f64 x (cos.f64 y)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) (*.f64 (/.f64 x (cos.f64 y)) #s(literal 1/2 binary64))))
13.7%
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))) (*.f64 z (*.f64 z z))) (fma.f64 z (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (*.f64 y x))))) x))
36.6%
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z))) x))
37.9%
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y #s(approx (- (* y (* x -1/2)) z) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) x))
53.3%
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y #s(approx (- (* y (* x -1/2)) z) (neg.f64 z)) x))
24.6%
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) (/.f64 x (cos.f64 y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))))
24.7%
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (/.f64 (cos.f64 y) x))))
26.8%
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) z) (sin.f64 y)))
61.1%
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
61.1%
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
41.8%
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)))))
26.8%
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y)))))
16.2%
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (*.f64 z #s(approx (/ (+ (* -1/2 (cos (* y -2))) 1/2) (neg (sin y))) (*.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
26.0%
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (/.f64 z (sin.f64 y)))))
2.9%
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 (*.f64 y y) (*.f64 x #s(literal -1/2 binary64)))))
16.7%
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 z (neg.f64 y))))
8.9%
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 y (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (/.f64 z (neg.f64 y)))))))
37.8%
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ x (cos y))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal 1/3 binary64)) (fma.f64 x #s(literal 1/24 binary64) (*.f64 x #s(literal 1/4 binary64)))) (*.f64 x #s(literal -1/2 binary64))) x)))
16.5%
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (* z (/ (+ (* -1/2 (cos (* y -2))) 1/2) (neg (sin y)))) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y (neg.f64 y)) (-.f64 (*.f64 z #s(literal 2/45 binary64)) (fma.f64 z #s(literal 1/36 binary64) (*.f64 z #s(literal 1/120 binary64)))) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))))
16.1%
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (* z (/ (+ (* -1/2 (cos (* y -2))) 1/2) (neg (sin y)))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
31.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z))))))
30.8%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (fma.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) z) (*.f64 y z)))))
32.5%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* y z) x) (fma.f64 y (/.f64 (*.f64 z x) x) x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
14.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* y z) x) (*.f64 z y)) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
8.9%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 (*.f64 y (neg.f64 y)) (fma.f64 z z (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 x x) y)) #s(literal 0 binary64)) y)))) (fma.f64 y z x)))
8.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 z (*.f64 z (*.f64 y (neg.f64 y))))) (fma.f64 y z x)))
22.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 x x)) (fma.f64 y z x)))
20.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 x x)) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z))))))
39.0%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (* z y))) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x))))
33.6%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (* z y))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 y z)) x)) x))))
39.8%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (* z y))) (/.f64 #s(literal 1 binary64) x))))
33.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y x)) (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y)))))
52.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 x (*.f64 z y)) (*.f64 (fma.f64 z y x) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))))
85.8%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y))))
61.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
39.9%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
40.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
45.3%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* y z) x) (- x (* y z))) (+ (* y z) x)) (*.f64 (neg.f64 x) (fma.f64 y (/.f64 z x) #s(literal -1 binary64)))))
46.6%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* y z) x) (- x (* y z))) (+ (* y z) x)) (*.f64 z (-.f64 (/.f64 x z) y))))
40.3%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* y z) x) (- x (* y z))) (+ (* y z) x)) (*.f64 y (-.f64 (/.f64 x y) z))))
37.8%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 y (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y))))) x)))
Compiler

Compiled 2 500 to 845 computations (66.2% saved)

regimes109.0ms (0.9%)

Memory
27.0MiB live, 176.1MiB allocated
Counts
85 → 1
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 z (neg.f64 y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y #s(approx (- (* y (* x -1/2)) z) (neg.f64 z)) x))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) x))))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 (*.f64 y y) (*.f64 x #s(literal -1/2 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y #s(approx (- (* y (* x -1/2)) z) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (-.f64 (/.f64 x y) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (-.f64 (/.f64 x z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* y z) x) (- x (* y z))) (+ (* y z) x)) (*.f64 y (-.f64 (/.f64 x y) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* y z) x) (- x (* y z))) (+ (* y z) x)) (*.f64 z (-.f64 (/.f64 x z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (* z (/ (+ (* -1/2 (cos (* y -2))) 1/2) (neg (sin y)))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (*.f64 z #s(approx (/ (+ (* -1/2 (cos (* y -2))) 1/2) (neg (sin y))) (*.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (* z y))) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 x x)) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* y z) x) (- x (* y z))) (+ (* y z) x)) (*.f64 (neg.f64 x) (fma.f64 y (/.f64 z x) #s(literal -1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 y (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (/.f64 z (neg.f64 y)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64)))) (neg.f64 z)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 y (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y))))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 z (*.f64 z (*.f64 y (neg.f64 y))))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 x x)) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* y z) x) (*.f64 z y)) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (*.f64 z y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (* z y))) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 x (*.f64 z y)) (*.f64 (fma.f64 z y x) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y x)) (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y)))))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ x (cos y))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal 1/3 binary64)) (fma.f64 x #s(literal 1/24 binary64) (*.f64 x #s(literal 1/4 binary64)))) (*.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* y z) x) (fma.f64 y (/.f64 (*.f64 z x) x) x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (* z (/ (+ (* -1/2 (cos (* y -2))) 1/2) (neg (sin y)))) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y (neg.f64 y)) (-.f64 (*.f64 z #s(literal 2/45 binary64)) (fma.f64 z #s(literal 1/36 binary64) (*.f64 z #s(literal 1/120 binary64)))) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (fma.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) z) (*.f64 y z)))))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 (*.f64 y (neg.f64 y)) (fma.f64 z z (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 x x) y)) #s(literal 0 binary64)) y)))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (* z y))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 y z)) x)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))))))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))) (*.f64 z (*.f64 z z))) (fma.f64 z (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (*.f64 y x))))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y))))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y)))))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) z) (sin.f64 y)))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (/.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))
(fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z)))
(fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) z)))
#s(approx (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (/ 1 (+ 0 (* z (sin y))))) (* x (cos y))) (*.f64 x (fma.f64 (neg.f64 z) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (*.f64 x (sin.f64 y))) (cos.f64 y))))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 (/.f64 x (cos.f64 y)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) (*.f64 (/.f64 x (cos.f64 y)) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y)))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) (/.f64 x (cos.f64 y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (/.f64 (cos.f64 y) x))))
(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (sin.f64 y)) z)) (*.f64 x (cos.f64 y)))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (*.f64 (fma.f64 z (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (cos.f64 y))) (neg.f64 x)))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)))))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (*.f64 (fma.f64 x (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y))) (neg.f64 z)))
(fma.f64 x (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(fma.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(fma.f64 (*.f64 x (*.f64 x (cos.f64 y))) (/.f64 (cos.f64 y) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
Outputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Calls

4 calls:

27.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
26.0ms
y
26.0ms
x
24.0ms
z
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes183.0ms (1.5%)

Memory
4.2MiB live, 125.7MiB allocated
Counts
54 → 3
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 z (neg.f64 y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y #s(approx (- (* y (* x -1/2)) z) (neg.f64 z)) x))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) x))))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 (*.f64 y y) (*.f64 x #s(literal -1/2 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y #s(approx (- (* y (* x -1/2)) z) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (-.f64 (/.f64 x y) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (-.f64 (/.f64 x z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* y z) x) (- x (* y z))) (+ (* y z) x)) (*.f64 y (-.f64 (/.f64 x y) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* y z) x) (- x (* y z))) (+ (* y z) x)) (*.f64 z (-.f64 (/.f64 x z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (* z (/ (+ (* -1/2 (cos (* y -2))) 1/2) (neg (sin y)))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (*.f64 z #s(approx (/ (+ (* -1/2 (cos (* y -2))) 1/2) (neg (sin y))) (*.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (* z y))) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 x x)) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* y z) x) (- x (* y z))) (+ (* y z) x)) (*.f64 (neg.f64 x) (fma.f64 y (/.f64 z x) #s(literal -1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 y (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (/.f64 z (neg.f64 y)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64)))) (neg.f64 z)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 y (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y))))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 z (*.f64 z (*.f64 y (neg.f64 y))))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 x x)) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* y z) x) (*.f64 z y)) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (*.f64 z y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (* z y))) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 x (*.f64 z y)) (*.f64 (fma.f64 z y x) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y x)) (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y)))))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ x (cos y))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal 1/3 binary64)) (fma.f64 x #s(literal 1/24 binary64) (*.f64 x #s(literal 1/4 binary64)))) (*.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* y z) x) (fma.f64 y (/.f64 (*.f64 z x) x) x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (* z (/ (+ (* -1/2 (cos (* y -2))) 1/2) (neg (sin y)))) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y (neg.f64 y)) (-.f64 (*.f64 z #s(literal 2/45 binary64)) (fma.f64 z #s(literal 1/36 binary64) (*.f64 z #s(literal 1/120 binary64)))) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (fma.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) z) (*.f64 y z)))))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 (*.f64 y (neg.f64 y)) (fma.f64 z z (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 x x) y)) #s(literal 0 binary64)) y)))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (* z y))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 y z)) x)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))))))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))) (*.f64 z (*.f64 z z))) (fma.f64 z (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (*.f64 y x))))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z)))
Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
Calls

4 calls:

79.0ms
y
46.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
40.0ms
z
15.0ms
x
Results
AccuracySegmentsBranch
91.7%3x
80.9%3y
90.6%3z
80.1%2(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes164.0ms (1.4%)

Memory
-27.6MiB live, 48.9MiB allocated
Counts
52 → 3
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 z (neg.f64 y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y #s(approx (- (* y (* x -1/2)) z) (neg.f64 z)) x))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) x))))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 (*.f64 y y) (*.f64 x #s(literal -1/2 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y #s(approx (- (* y (* x -1/2)) z) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (-.f64 (/.f64 x y) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (-.f64 (/.f64 x z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* y z) x) (- x (* y z))) (+ (* y z) x)) (*.f64 y (-.f64 (/.f64 x y) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* y z) x) (- x (* y z))) (+ (* y z) x)) (*.f64 z (-.f64 (/.f64 x z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (* z (/ (+ (* -1/2 (cos (* y -2))) 1/2) (neg (sin y)))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (*.f64 z #s(approx (/ (+ (* -1/2 (cos (* y -2))) 1/2) (neg (sin y))) (*.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (* z y))) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 x x)) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* y z) x) (- x (* y z))) (+ (* y z) x)) (*.f64 (neg.f64 x) (fma.f64 y (/.f64 z x) #s(literal -1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 y (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (/.f64 z (neg.f64 y)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64)))) (neg.f64 z)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 y (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y))))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 z (*.f64 z (*.f64 y (neg.f64 y))))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 x x)) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* y z) x) (*.f64 z y)) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (*.f64 z y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (* z y))) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 x (*.f64 z y)) (*.f64 (fma.f64 z y x) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y x)) (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y)))))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ x (cos y))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal 1/3 binary64)) (fma.f64 x #s(literal 1/24 binary64) (*.f64 x #s(literal 1/4 binary64)))) (*.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* y z) x) (fma.f64 y (/.f64 (*.f64 z x) x) x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (* z (/ (+ (* -1/2 (cos (* y -2))) 1/2) (neg (sin y)))) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y (neg.f64 y)) (-.f64 (*.f64 z #s(literal 2/45 binary64)) (fma.f64 z #s(literal 1/36 binary64) (*.f64 z #s(literal 1/120 binary64)))) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (fma.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) z) (*.f64 y z)))))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 (*.f64 y (neg.f64 y)) (fma.f64 z z (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 x x) y)) #s(literal 0 binary64)) y)))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (* z y))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 y z)) x)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))))))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))) (*.f64 z (*.f64 z z))) (fma.f64 z (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (*.f64 y x))))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
Calls

2 calls:

81.0ms
x
14.0ms
z
Results
AccuracySegmentsBranch
74.2%3z
82.1%3x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes109.0ms (0.9%)

Memory
28.2MiB live, 67.1MiB allocated
Counts
51 → 3
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 z (neg.f64 y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y #s(approx (- (* y (* x -1/2)) z) (neg.f64 z)) x))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) x))))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 (*.f64 y y) (*.f64 x #s(literal -1/2 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y #s(approx (- (* y (* x -1/2)) z) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (-.f64 (/.f64 x y) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (-.f64 (/.f64 x z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* y z) x) (- x (* y z))) (+ (* y z) x)) (*.f64 y (-.f64 (/.f64 x y) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* y z) x) (- x (* y z))) (+ (* y z) x)) (*.f64 z (-.f64 (/.f64 x z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (* z (/ (+ (* -1/2 (cos (* y -2))) 1/2) (neg (sin y)))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (*.f64 z #s(approx (/ (+ (* -1/2 (cos (* y -2))) 1/2) (neg (sin y))) (*.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (* z y))) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 x x)) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* y z) x) (- x (* y z))) (+ (* y z) x)) (*.f64 (neg.f64 x) (fma.f64 y (/.f64 z x) #s(literal -1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 y (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (/.f64 z (neg.f64 y)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64)))) (neg.f64 z)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 y (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y))))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 z (*.f64 z (*.f64 y (neg.f64 y))))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 x x)) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* y z) x) (*.f64 z y)) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (*.f64 z y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (* z y))) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 x (*.f64 z y)) (*.f64 (fma.f64 z y x) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y x)) (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y)))))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ x (cos y))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal 1/3 binary64)) (fma.f64 x #s(literal 1/24 binary64) (*.f64 x #s(literal 1/4 binary64)))) (*.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* y z) x) (fma.f64 y (/.f64 (*.f64 z x) x) x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (* z (/ (+ (* -1/2 (cos (* y -2))) 1/2) (neg (sin y)))) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y (neg.f64 y)) (-.f64 (*.f64 z #s(literal 2/45 binary64)) (fma.f64 z #s(literal 1/36 binary64) (*.f64 z #s(literal 1/120 binary64)))) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (fma.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) z) (*.f64 y z)))))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 (*.f64 y (neg.f64 y)) (fma.f64 z z (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 x x) y)) #s(literal 0 binary64)) y)))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (* z y))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 y z)) x)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))))))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))) (*.f64 z (*.f64 z z))) (fma.f64 z (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (*.f64 y x))))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64)))) (neg.f64 z)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
Calls

3 calls:

78.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
14.0ms
x
14.0ms
y
Results
AccuracySegmentsBranch
75.4%3y
66.8%3(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
71.5%3x
Compiler

Compiled 20 to 14 computations (30% saved)

regimes108.0ms (0.9%)

Memory
-30.8MiB live, 63.5MiB allocated
Counts
50 → 1
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 z (neg.f64 y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y #s(approx (- (* y (* x -1/2)) z) (neg.f64 z)) x))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) x))))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 (*.f64 y y) (*.f64 x #s(literal -1/2 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y #s(approx (- (* y (* x -1/2)) z) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (-.f64 (/.f64 x y) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (-.f64 (/.f64 x z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* y z) x) (- x (* y z))) (+ (* y z) x)) (*.f64 y (-.f64 (/.f64 x y) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* y z) x) (- x (* y z))) (+ (* y z) x)) (*.f64 z (-.f64 (/.f64 x z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (* z (/ (+ (* -1/2 (cos (* y -2))) 1/2) (neg (sin y)))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (*.f64 z #s(approx (/ (+ (* -1/2 (cos (* y -2))) 1/2) (neg (sin y))) (*.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (* z y))) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 x x)) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* y z) x) (- x (* y z))) (+ (* y z) x)) (*.f64 (neg.f64 x) (fma.f64 y (/.f64 z x) #s(literal -1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 y (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (/.f64 z (neg.f64 y)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64)))) (neg.f64 z)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 y (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y))))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 z (*.f64 z (*.f64 y (neg.f64 y))))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 x x)) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* y z) x) (*.f64 z y)) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (*.f64 z y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (* z y))) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 x (*.f64 z y)) (*.f64 (fma.f64 z y x) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y x)) (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y)))))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ x (cos y))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal 1/3 binary64)) (fma.f64 x #s(literal 1/24 binary64) (*.f64 x #s(literal 1/4 binary64)))) (*.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* y z) x) (fma.f64 y (/.f64 (*.f64 z x) x) x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (* z (/ (+ (* -1/2 (cos (* y -2))) 1/2) (neg (sin y)))) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y (neg.f64 y)) (-.f64 (*.f64 z #s(literal 2/45 binary64)) (fma.f64 z #s(literal 1/36 binary64) (*.f64 z #s(literal 1/120 binary64)))) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (fma.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) z) (*.f64 y z)))))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 (*.f64 y (neg.f64 y)) (fma.f64 z z (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 x x) y)) #s(literal 0 binary64)) y)))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (* z y))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 y z)) x)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))))))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))) (*.f64 z (*.f64 z z))) (fma.f64 z (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (*.f64 y x))))) x))
Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
Calls

4 calls:

57.0ms
y
20.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
14.0ms
z
14.0ms
x
Results
AccuracySegmentsBranch
53.3%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
53.3%1x
53.3%1z
53.3%1y
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes9.0ms (0.1%)

Memory
21.5MiB live, 21.5MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 z (neg.f64 y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
Calls

4 calls:

2.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
2.0ms
z
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
53.3%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
53.3%1y
53.3%1x
53.3%1z
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes47.0ms (0.4%)

Memory
-17.1MiB live, 20.6MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 z (neg.f64 y))))
Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
Calls

4 calls:

41.0ms
x
2.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
39.9%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
39.9%1y
46.3%3x
43.1%2z
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes4.0ms (0%)

Memory
11.8MiB live, 11.8MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
Calls

3 calls:

1.0ms
z
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
39.9%1y
39.9%1z
39.9%1x
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch37.0ms (0.3%)

Memory
6.9MiB live, 44.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
33.0ms
2.9163812326923743e+23
2.426975769459949e+26
2.0ms
-1.9804666425040857e+47
-1.8003385516158373e+47
Samples
29.0ms144×0valid
Compiler

Compiled 240 to 167 computations (30.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-cos: 4.0ms (42.7% of total)
ival-sin: 3.0ms (32% of total)
ival-mult: 2.0ms (21.4% of total)
ival-sub: 1.0ms (10.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch56.0ms (0.5%)

Memory
-13.5MiB live, 28.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
2.2315571754435673e-139
5.8894432834772016e-139
45.0ms
-4.515717005271627e-37
-1.6514595811578662e-37
Samples
13.0ms160×0valid
Compiler

Compiled 205 to 144 computations (29.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-cos: 3.0ms (31.9% of total)
ival-sin: 3.0ms (31.9% of total)
ival-mult: 2.0ms (21.3% of total)
ival-sub: 1.0ms (10.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch64.0ms (0.5%)

Memory
-13.8MiB live, 64.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
4.2287225423087196e-7
3378.860185238779
43.0ms
-13.506227614094588
-1.5363594875748794e-36
Samples
47.0ms336×0valid
Compiler

Compiled 624 to 392 computations (37.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-cos: 29.0ms (75.5% of total)
ival-mult: 4.0ms (10.4% of total)
ival-sin: 3.0ms (7.8% of total)
ival-sub: 1.0ms (2.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch51.0ms (0.4%)

Memory
25.7MiB live, 64.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
35.0ms
6.197439937800707e-174
1.3063061026863959e-163
13.0ms
-1.049218154712424e-67
-1.1013109749091788e-69
Samples
38.0ms272×0valid
Compiler

Compiled 338 to 218 computations (35.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-cos: 6.0ms (37.4% of total)
ival-sin: 5.0ms (31.1% of total)
ival-mult: 4.0ms (24.9% of total)
ival-sub: 1.0ms (6.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify34.0ms (0.3%)

Memory
-23.1MiB live, 20.8MiB allocated
Algorithm
egg-herbie
Rules
24×*-commutative_binary64
14×+-commutative_binary64
14×sub-neg_binary64
10×neg-sub0_binary64
10×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067277
191277
2109277
3117277
4121277
5122277
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -185000000000000020280926725530098764975649587200 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 x #s(literal 240000000000000004563402752 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
(if (<=.f64 x #s(literal -4789048565205903/23945242826029513411849172299223580994042798784118784 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 x #s(literal 3888264299683353/6703903964971298549787012499102923063739682910296196688861780721860882015036773488400937149083451713845015929093243025426876941405973284973216824503042048 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y)))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
(if (<=.f64 y #s(literal -1116892707587883/18014398509481984 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 8106479329266893/36028797018963968 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64)))) (neg.f64 z)) x)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
(if (<=.f64 x #s(literal -4351578318585633/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (if (<=.f64 x #s(literal 8947392945399641/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z)))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
Outputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -185000000000000020280926725530098764975649587200 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 x #s(literal 240000000000000004563402752 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
(if (<=.f64 x #s(literal -4789048565205903/23945242826029513411849172299223580994042798784118784 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 x #s(literal 3888264299683353/6703903964971298549787012499102923063739682910296196688861780721860882015036773488400937149083451713845015929093243025426876941405973284973216824503042048 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y)))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
(if (<=.f64 x #s(literal -4789048565205903/23945242826029513411849172299223580994042798784118784 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 x #s(literal 3888264299683353/6703903964971298549787012499102923063739682910296196688861780721860882015036773488400937149083451713845015929093243025426876941405973284973216824503042048 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
(if (<=.f64 y #s(literal -1116892707587883/18014398509481984 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 8106479329266893/36028797018963968 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64)))) (neg.f64 z)) x)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 y z)))
(if (<=.f64 x #s(literal -4351578318585633/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (if (<=.f64 x #s(literal 8947392945399641/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z)))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))

soundness1.4s (11.5%)

Memory
11.0MiB live, 808.5MiB allocated
Rules
12 936×lower-fma.f64
12 936×lower-fma.f32
10 986×lower-fma.f64
10 986×lower-fma.f32
10 152×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039222
067174
1266136
22186124
09041124
0112686
1339681
2933669
32680663
44621663
57358663
08230636
0821
01321
13321
221021
3196421
0837921
06688178
122527964
084067670
06568331
122267931
278407881
081187457
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 292 to 151 computations (48.3% saved)

preprocess280.0ms (2.3%)

Memory
6.2MiB live, 122.4MiB allocated
Compiler

Compiled 306 to 118 computations (61.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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