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

Time bar (total: 14.3s)

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB 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)

sample1.3s (9.1%)

Memory
-4.7MiB live, 1 826.4MiB allocated
Samples
956.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 597.0ms
ival-cos: 232.0ms (38.9% of total)
ival-sin: 177.0ms (29.6% of total)
ival-mult: 142.0ms (23.8% of total)
ival-sub: 36.0ms (6% of total)
ival-true: 6.0ms (1% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

preprocess52.0ms (0.4%)

Memory
-10.7MiB live, 66.0MiB 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)))

explain382.0ms (2.7%)

Memory
19.7MiB live, 210.8MiB 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
50.0ms512×0valid
Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-cos: 11.0ms (34.5% of total)
ival-sin: 11.0ms (34.5% of total)
ival-mult: 7.0ms (21.9% of total)
ival-sub: 2.0ms (6.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB 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)

simplify47.0ms (0.3%)

Memory
-29.5MiB live, 20.9MiB 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
15.3MiB live, 84.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(cos.f64 y)
accuracy100.0%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
accuracy99.8%
(*.f64 x (cos.f64 y))
accuracy99.8%
(*.f64 z (sin.f64 y))
Samples
30.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-sin: 11.0ms (50.3% of total)
ival-cos: 6.0ms (27.4% of total)
ival-mult: 3.0ms (13.7% of total)
ival-sub: 1.0ms (4.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
19.1MiB live, 19.1MiB allocated
Counts
4 → 96
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))>
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))>
Calls

24 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)))
1.0ms
y
@-inf
(- (* x (cos y)) (* z (sin y)))
0.0ms
y
@0
(- (* x (cos y)) (* z (sin y)))

simplify458.0ms (3.2%)

Memory
-12.4MiB live, 564.1MiB allocated
Algorithm
egg-herbie
Rules
12 044×lower-fma.f64
12 044×lower-fma.f32
4 682×lower-*.f64
4 682×lower-*.f32
1 796×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097624
1292619
2837613
32075607
43601607
56258607
08452586
Stop Event
iter limit
node limit
Counts
96 → 94
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))
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)))
(-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y))
(+ 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 y (*.f64 x (*.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 x) (*.f64 y (fma.f64 (*.f64 y 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 y (*.f64 y (*.f64 x (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)))) 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 y (*.f64 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)
(* 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 (*.f64 y y) #s(literal -1/6 binary64)) z))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) 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 (*.f64 y 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))

rewrite478.0ms (3.3%)

Memory
10.8MiB live, 721.3MiB 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
0819
01319
13319
221019
3196419
0837919
Stop Event
iter limit
node limit
iter limit
Counts
4 → 231
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))
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))))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (*.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (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 z (sin.f64 y)) #s(literal 6 binary64)) (*.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (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 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (*.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 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)))))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)) (*.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 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)))))))))
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(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))))

eval45.0ms (0.3%)

Memory
-13.0MiB live, 97.0MiB allocated
Compiler

Compiled 15 516 to 728 computations (95.3% saved)

prune77.0ms (0.5%)

Memory
18.7MiB live, 136.9MiB allocated
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New30421325
Fresh000
Picked101
Done000
Total30521326
Accuracy
99.9%
Counts
326 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.4%
(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)))
62.3%
(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)))))))
40.5%
(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 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
99.8%
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
40.4%
(/.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))))
16.9%
(/.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))))))))
40.4%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y))) (-.f64 (*.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))))))))
99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
48.3%
(-.f64 (*.f64 x (cos.f64 y)) (exp.f64 (log.f64 (*.f64 z (sin.f64 y)))))
54.8%
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
64.0%
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y)))
53.5%
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) z))))
56.9%
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 y (fma.f64 z (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z))))
76.1%
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
40.4%
(*.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)))))
50.4%
#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))
50.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y)))
52.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
57.8%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
42.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
Compiler

Compiled 1 042 to 542 computations (48% saved)

simplify663.0ms (4.6%)

Memory
-172.7MiB live, 596.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 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-diff320
(*.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)))))
cost-diff6720
(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-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))))
cost-diff0
(*.f64 z (sin.f64 y))
cost-diff0
#s(approx (cos y) #s(literal 1 binary64))
cost-diff0
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
cost-diff0
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.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 x (cos.f64 y))
cost-diff0
(neg.f64 z)
cost-diff0
(sin.f64 y)
cost-diff0
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
Rules
16 390×lower-fma.f32
16 382×lower-fma.f64
3 806×lower-*.f32
3 788×lower-*.f64
1 556×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037247
066247
1123245
2233245
3612245
42108241
54690239
67125239
08066232
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(sin.f64 y)
y
(neg.f64 z)
z
(*.f64 x (cos.f64 y))
x
(cos.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
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
x
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
y
(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)
(*.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 #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)
y
(neg.f64 (*.f64 z z))
(*.f64 z 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)
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)))
(cos.f64 y)
(*.f64 z (sin.f64 y))
(sin.f64 y)
Outputs
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(sin.f64 y)
y
(neg.f64 z)
z
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
#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)))
(-.f64 x (*.f64 z y))
(-.f64 x (*.f64 y z))
x
(*.f64 z y)
(*.f64 y z)
z
y
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (sin.f64 y) z))
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
x
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
z
(sin.f64 y)
y
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(cos.f64 y)
y
x
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
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)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) (fma.f64 z z (*.f64 x x)) (*.f64 (-.f64 x z) (+.f64 x z)))) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 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) (fma.f64 (cos.f64 (+.f64 y y)) (fma.f64 z z (*.f64 x x)) (*.f64 (-.f64 x z) (+.f64 x 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)
y
(neg.f64 (*.f64 z z))
(*.f64 z (neg.f64 z))
(*.f64 z 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)
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))
(/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))
#s(literal 1 binary64)
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(cos.f64 y)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(sin.f64 y)

localize206.0ms (1.4%)

Memory
-18.2MiB live, 346.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.4%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
accuracy83.3%
(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))))))
accuracy75.8%
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
accuracy53.8%
(*.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)))))
accuracy100.0%
(neg.f64 (*.f64 z (sin.f64 y)))
accuracy100.0%
(cos.f64 y)
accuracy99.9%
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
accuracy99.8%
(*.f64 z (sin.f64 y))
accuracy100.0%
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
accuracy99.8%
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
accuracy99.8%
(*.f64 z (sin.f64 y))
accuracy54.7%
#s(approx (cos y) #s(literal 1 binary64))
accuracy100.0%
(*.f64 z y)
accuracy100.0%
(-.f64 x (*.f64 z y))
accuracy52.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
accuracy100.0%
(neg.f64 z)
accuracy100.0%
(cos.f64 y)
accuracy99.9%
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
accuracy99.8%
(*.f64 x (cos.f64 y))
Samples
70.0ms81×1valid
43.0ms133×0valid
34.0ms42×2valid
Compiler

Compiled 244 to 34 computations (86.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 116.0ms
ival-mult: 49.0ms (42.2% of total)
ival-cos: 28.0ms (24.1% of total)
adjust: 11.0ms (9.5% of total)
ival-add: 9.0ms (7.8% of total)
ival-sin: 7.0ms (6% of total)
ival-sub: 6.0ms (5.2% of total)
ival-neg: 4.0ms (3.4% of total)
ival-div: 3.0ms (2.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series32.0ms (0.2%)

Memory
30.5MiB live, 67.0MiB allocated
Counts
18 → 444
Calls
Call 1
Inputs
#<alt (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))>
#<alt (sin.f64 y)>
#<alt (neg.f64 z)>
#<alt (*.f64 x (cos.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 (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))>
#<alt #s(approx (cos y) #s(literal 1 binary64))>
#<alt (*.f64 z (sin.f64 y))>
#<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 (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 (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)))))>
#<alt (-.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))))>
Outputs
#<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 (* 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)))>
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#<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 (* -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 (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 (neg (* -2 y)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 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 (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
Calls

111 calls:

TimeVariablePointExpression
4.0ms
x
@0
(+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))))
3.0ms
z
@0
(+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))))
2.0ms
y
@inf
(+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))))
1.0ms
y
@-inf
(+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))))
1.0ms
z
@inf
(neg z)

simplify530.0ms (3.7%)

Memory
23.9MiB live, 804.1MiB allocated
Algorithm
egg-herbie
Rules
9 230×lower-fma.f64
9 230×lower-fma.f32
8 170×lower-*.f64
8 170×lower-*.f32
2 058×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04665353
115675202
256205128
087874866
Stop Event
iter limit
node limit
Counts
444 → 432
Calls
Call 1
Inputs
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)))
(* 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 (* 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))))
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)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* 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 (* 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)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* -1 (* y z))
(* z (- (/ x z) y))
(* z (- (/ x z) y))
(* z (- (/ x z) y))
(* -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)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* -1 (* y z))
(* y (- (/ x y) z))
(* y (- (/ x y) z))
(* y (- (/ x y) z))
(* -1 (* y z))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 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)
(* y z)
(* y z)
(* -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))
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)))
(pow x 2)
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (* -1 (pow z 2)))) (pow x 2))
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* 1/3 (pow x 2)) (* 1/3 (pow z 2))))))) (pow x 2))
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* 1/3 (pow x 2)) (+ (* 1/3 (pow z 2)) (* (pow y 2) (+ (* -2/45 (pow x 2)) (* -2/45 (pow z 2)))))))))) (pow x 2))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -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 z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(+ (* -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 z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow z 2) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))))
(* (pow z 2) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))))
(* (pow z 2) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow z 2) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))))
(* (pow z 2) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))))
(* (pow z 2) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y))))))
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))))
(/ (+ (* -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)))
(+ (* 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)))
(* -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)))
(* -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))))))
(* -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)))))
(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 (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(+ 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 (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
Outputs
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 y z))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(fma.f64 y (fma.f64 x (*.f64 y #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)))
(* 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)))
(*.f64 z (neg.f64 (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)))
(*.f64 z (neg.f64 (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 (* z (sin y)))
(*.f64 z (neg.f64 (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 z (/.f64 (sin.f64 y) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) 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)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* x (cos y))
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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 (/ (* 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))))))
(*.f64 x (fma.f64 (*.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 z (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 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))))))
(*.f64 x (+.f64 (+.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (/.f64 (*.f64 (neg.f64 (*.f64 z z)) (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (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 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))) (*.f64 x x))) (/.f64 (*.f64 z (*.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 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
(* 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))))))
(*.f64 x (+.f64 (fma.f64 (*.f64 (sin.f64 y) (*.f64 (*.f64 z z) (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (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 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))))) (/.f64 z (*.f64 x (*.f64 x (*.f64 x (cos.f64 y))))) (+.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (/.f64 (*.f64 (neg.f64 (*.f64 z z)) (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (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 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))) (*.f64 x x)))) (/.f64 (*.f64 z (*.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 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
(/ (* 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 (* 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))))))
(*.f64 (neg.f64 x) (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))))
(* -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)))))
(*.f64 x (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (-.f64 (*.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) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 (*.f64 (*.f64 z z) (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (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 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))) x)) 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)))))
(*.f64 x (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 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) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 y) (*.f64 (*.f64 z z) (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (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 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))))) (/.f64 z (*.f64 x (cos.f64 y)))) (*.f64 (*.f64 z z) (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (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 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))))) x)) x)))
(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 y (*.f64 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 (neg (* -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 (neg (* -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 (neg (* -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 (neg (* -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 (* -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 (*.f64 y 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 (neg (* -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 (neg (* -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 (neg (* -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 (neg (* -2 y)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))

rewrite549.0ms (3.8%)

Memory
-3.5MiB live, 828.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 316×lower-fma.f32
7 308×lower-fma.f64
5 156×lower-*.f32
5 138×lower-*.f64
4 388×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037158
066131
1244111
21799111
08953111
Stop Event
iter limit
node limit
iter limit
Counts
18 → 830
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(sin.f64 y)
(neg.f64 z)
(*.f64 x (cos.f64 y))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
(-.f64 x (*.f64 z y))
(*.f64 z y)
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
#s(approx (cos y) #s(literal 1 binary64))
(*.f64 z (sin.f64 y))
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
(cos.f64 y)
(neg.f64 (*.f64 z (sin.f64 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 (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)))))
(-.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))))
Outputs
(+.f64 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 (sin.f64 y) z)))
(+.f64 (neg.f64 (*.f64 (sin.f64 y) z)) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (*.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 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(+.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 (sin.f64 y) z (*.f64 x (cos.f64 y))))) (*.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))
(+.f64 (*.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) (*.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 (sin.f64 y) z (*.f64 x (cos.f64 y))))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(-.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))
(-.f64 (fma.f64 x (cos.f64 y) #s(literal 0 binary64)) (*.f64 (sin.f64 y) z))
(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z) (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z) (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (/.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64)) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.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 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))))
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(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y)))
(*.f64 (/.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 y))))))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (/.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 y))))))) (-.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 y)))))))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 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 y)))))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 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 y)))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.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 y)))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.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 y))))))))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #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 y))))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (cos.f64 (+.f64 y y))))))
(/.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 y))))))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (cos.f64 (+.f64 y y)) #s(literal 1 binary64)) #s(literal 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 y)))))))) (neg.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #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 y))))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (cos.f64 (+.f64 y y)))))))
(/.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 y)))))) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 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 y)))))))) (pow.f64 (sin.f64 y) #s(literal 4 binary64)))
(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 y y)) #s(literal 1 binary64))) #s(literal -2 binary64))
(/.f64 (neg.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 y))))))))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (neg.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 y)))))) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64))))
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.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 y)))))))) #s(literal -1 binary64))
(*.f64 (cos.f64 y) (cos.f64 y))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)) #s(literal 1/4 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 y))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (+.f64 (cos.f64 (+.f64 y y)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.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 y))))))) (-.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 y)))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
(*.f64 (/.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 y))))))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (fma.f64 (*.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)) #s(literal 1/4 binary64)))

eval197.0ms (1.4%)

Memory
15.1MiB live, 409.8MiB allocated
Compiler

Compiled 54 544 to 2 091 computations (96.2% saved)

prune222.0ms (1.5%)

Memory
-18.8MiB live, 332.3MiB allocated
Pruning

35 alts after pruning (32 fresh and 3 done)

PrunedKeptTotal
New1 347291 376
Fresh13316
Picked235
Done000
Total1 362351 397
Accuracy
100.0%
Counts
1 397 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
52.6%
(fma.f64 (cos.f64 y) x (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z))) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))))
99.8%
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
54.8%
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))))
64.0%
(fma.f64 (cos.f64 y) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
56.9%
(fma.f64 (cos.f64 y) x #s(approx (neg (* z (sin y))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
27.1%
(/.f64 (fma.f64 x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)))) (fma.f64 x #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z)))
40.4%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))))
99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
76.1%
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
50.9%
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (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))))
50.9%
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))))
51.3%
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))))
40.3%
(*.f64 (fma.f64 (/.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 y))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (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)))))
40.5%
(*.f64 (fma.f64 (*.f64 (*.f64 x (cos.f64 y)) x) (cos.f64 y) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
27.1%
(*.f64 (fma.f64 x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z))))
99.6%
(*.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))
31.3%
(*.f64 #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)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
52.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
50.4%
#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))
50.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) x))
17.4%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (*.f64 y (*.f64 z (*.f64 y z))))) (*.f64 (fma.f64 y z x) (fma.f64 y z x))))
17.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (fma.f64 x x (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 y (neg.f64 z)))))))
28.7%
#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))))))
24.8%
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x))))
28.7%
#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))))
18.8%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))))))
42.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 z (neg.f64 (sin.f64 y))))
93.0%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))))
57.8%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
40.7%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (-.f64 (/.f64 x y) z))))
18.9%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))
57.5%
#s(approx (* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* x (cos y)) (* z (sin 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))))
26.5%
#s(approx (* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (/.f64 z (sin.f64 y)))))
92.6%
#s(approx (* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 (neg.f64 x) (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)))))
Compiler

Compiled 1 554 to 852 computations (45.2% saved)

simplify278.0ms (1.9%)

Memory
20.8MiB live, 513.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (cos.f64 y) x (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z))) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))))
cost-diff128
(*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)))
cost-diff192
(+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))
cost-diff640
(/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z))) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))
cost-diff0
#s(approx (* z (sin y)) (*.f64 y z))
cost-diff0
(neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))
cost-diff0
(cos.f64 y)
cost-diff0
(fma.f64 (cos.f64 y) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
cost-diff0
(fma.f64 y z x)
cost-diff0
#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))))))
cost-diff1088
(/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 y (neg.f64 z))
cost-diff0
#s(approx (- x (* z y)) (*.f64 y (neg.f64 z)))
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))
cost-diff0
(*.f64 x (cos.f64 y))
cost-diff0
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
Rules
10 776×lower-fma.f32
10 768×lower-fma.f64
3 306×lower-*.f32
3 290×lower-*.f64
2 078×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045305
076283
1133265
2270255
3882255
43596255
56259255
08347252
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(-.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)
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))
#s(approx (- x (* z y)) (*.f64 y (neg.f64 z)))
(*.f64 y (neg.f64 z))
y
(neg.f64 z)
z
#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))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))
#s(literal 1 binary64)
(/.f64 (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 (fma.f64 y z x) (-.f64 x (*.f64 y z)))
(-.f64 x (*.f64 y z))
(*.f64 y z)
(fma.f64 (cos.f64 y) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
(cos.f64 y)
y
x
(neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))
#s(approx (* z (sin y)) (*.f64 y z))
(*.f64 y z)
z
(fma.f64 (cos.f64 y) x (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z))) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))))
(cos.f64 y)
y
x
(/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z))) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))
(*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)))
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(cos.f64 (+.f64 y y))
(+.f64 y y)
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
(neg.f64 (*.f64 z z))
(*.f64 z z)
z
(+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))
#s(literal 0 binary64)
(*.f64 (sin.f64 y) z)
(sin.f64 y)
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(-.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)
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))
#s(approx (- x (* z y)) (*.f64 y (neg.f64 z)))
(*.f64 y (neg.f64 z))
y
(neg.f64 z)
z
#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 x (*.f64 y z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))
(-.f64 x (*.f64 y z))
#s(literal 1 binary64)
(/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))
(/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))
(fma.f64 y z x)
y
z
x
(*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))
(-.f64 x (*.f64 y z))
(*.f64 y z)
(fma.f64 (cos.f64 y) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 y z)))
(cos.f64 y)
y
x
(neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))
#s(approx (* z (sin y)) (*.f64 y z))
(*.f64 y z)
z
(fma.f64 (cos.f64 y) x (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z))) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))))
(fma.f64 (/.f64 z (sin.f64 y)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 x (cos.f64 y)))
(cos.f64 y)
y
x
(/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z))) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))
(/.f64 (*.f64 z (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (sin.f64 y))
(*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)))
(*.f64 z (*.f64 z (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(cos.f64 (+.f64 y y))
(+.f64 y y)
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
(neg.f64 (*.f64 z z))
(*.f64 z z)
z
(+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))
(*.f64 z (sin.f64 y))
#s(literal 0 binary64)
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(sin.f64 y)

localize267.0ms (1.9%)

Memory
-17.8MiB live, 430.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(*.f64 (sin.f64 y) z)
accuracy86.7%
(*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)))
accuracy75.8%
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
accuracy46.7%
(/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z))) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))
accuracy100.0%
(neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))
accuracy100.0%
(cos.f64 y)
accuracy99.9%
(fma.f64 (cos.f64 y) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
accuracy50.6%
#s(approx (* z (sin y)) (*.f64 y z))
accuracy99.8%
(*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))
accuracy52.1%
#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))))))
accuracy47.2%
(/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))
accuracy100.0%
(*.f64 y (neg.f64 z))
accuracy100.0%
(neg.f64 z)
accuracy53.6%
#s(approx (- x (* z y)) (*.f64 y (neg.f64 z)))
accuracy52.1%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))
accuracy99.8%
(*.f64 x (cos.f64 y))
accuracy99.8%
(*.f64 z (sin.f64 y))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
Samples
91.0ms91×1valid
76.0ms133×0valid
25.0ms32×2valid
Compiler

Compiled 273 to 40 computations (85.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 161.0ms
ival-sin: 62.0ms (38.6% of total)
ival-cos: 33.0ms (20.5% of total)
ival-mult: 22.0ms (13.7% of total)
ival-div: 11.0ms (6.8% of total)
adjust: 10.0ms (6.2% of total)
ival-add: 9.0ms (5.6% of total)
ival-neg: 8.0ms (5% of total)
ival-sub: 4.0ms (2.5% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series42.0ms (0.3%)

Memory
-9.8MiB live, 65.0MiB allocated
Counts
24 → 684
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 x (cos.f64 y))>
#<alt #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))>
#<alt #s(approx (- x (* z y)) (*.f64 y (neg.f64 z)))>
#<alt (*.f64 y (neg.f64 z))>
#<alt (neg.f64 z)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))>
#<alt (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))>
#<alt #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))))))>
#<alt (fma.f64 y z x)>
#<alt (fma.f64 (cos.f64 y) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))>
#<alt (cos.f64 y)>
#<alt (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))>
#<alt #s(approx (* z (sin y)) (*.f64 y z))>
#<alt (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z))) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))>
#<alt (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))>
#<alt (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)))>
#<alt (fma.f64 (cos.f64 y) x (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z))) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))))>
#<alt (*.f64 z (sin.f64 y))>
#<alt (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))>
#<alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))>
#<alt (*.f64 (sin.f64 y) z)>
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 (/ -1 (* z (sin y)))>
#<alt (- (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y))))>
#<alt (- (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))>
#<alt (- (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))>
#<alt (/ 1 (* x (cos y)))>
#<alt (/ (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x)>
#<alt (/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)>
#<alt (/ (- (+ (/ 1 (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x)>
#<alt (/ 1 (* x (cos y)))>
#<alt (* -1 (/ (- (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))>
#<alt (/ 1 x)>
#<alt (+ (/ 1 x) (/ (* y z) (pow x 2)))>
#<alt (+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))>
#<alt (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x)) (+ (* -1/2 (/ z (pow x 2))) (* 1/6 (/ z (pow x 2))))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))>
#<alt (/ 1 (- (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (- (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (- (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (- (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (- (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (- (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (- (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (- (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (* x (cos y)))>
#<alt (+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2))))>
#<alt (+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))>
#<alt (+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))>
#<alt (/ -1 (* z (sin y)))>
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#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
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#<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)))>
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#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))) (sin y)))>
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))) (sin y)))>
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))) (sin y)))>
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (neg (* -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 (* -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 (* 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 (* 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 (* -1 (* (pow y 2) (pow z 2)))>
#<alt (* (pow y 2) (+ (* -1 (pow z 2)) (* 1/3 (* (pow y 2) (pow z 2)))))>
#<alt (* (pow y 2) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* -2/45 (* (pow y 2) (pow z 2))) (* 1/3 (pow z 2))))))>
#<alt (* (pow y 2) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* 1/3 (pow z 2)) (* (pow y 2) (+ (* -2/45 (pow z 2)) (* 1/315 (* (pow y 2) (pow z 2)))))))))>
#<alt (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))>
#<alt (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))>
#<alt (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))>
#<alt (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))>
#<alt (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))))>
#<alt (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))))>
#<alt (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))))>
#<alt (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))))>
#<alt (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))>
#<alt (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))>
#<alt (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))>
#<alt (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))>
#<alt (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))>
#<alt (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))>
#<alt (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))>
#<alt (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))>
#<alt (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))>
#<alt (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))>
#<alt (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))>
#<alt (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 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 (* -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))))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (* x (sin y))))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (* x (sin 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 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (cos y)) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (cos y)) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (cos y)) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (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 (pow x 2)>
#<alt (+ (* y (+ (* -1 (* x z)) (* x z))) (pow x 2))>
#<alt (+ (* y (+ (* -1 (* x z)) (+ (* -1 (* y (pow z 2))) (* x z)))) (pow x 2))>
#<alt (+ (* y (+ (* -1 (* x z)) (+ (* -1 (* y (pow z 2))) (* x z)))) (pow x 2))>
#<alt (* -1 (* (pow y 2) (pow z 2)))>
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (* -1 (pow z 2)) (/ (* x z) y))))>
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (* -1 (pow z 2)) (+ (/ (* x z) y) (/ (pow x 2) (pow y 2))))))>
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (* -1 (pow z 2)) (+ (/ (* x z) y) (/ (pow x 2) (pow y 2))))))>
#<alt (* -1 (* (pow y 2) (pow z 2)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (* x z)) y)) (* -1 (pow z 2))))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (+ (* -1 (/ (pow x 2) y)) (* x z))) y)) (* -1 (pow z 2))))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (+ (* -1 (/ (pow x 2) y)) (* x z))) y)) (* -1 (pow z 2))))>
#<alt (pow x 2)>
#<alt (+ (* z (+ (* -1 (* x y)) (* x y))) (pow x 2))>
#<alt (+ (* z (+ (* -1 (* x y)) (+ (* -1 (* (pow y 2) z)) (* x y)))) (pow x 2))>
#<alt (+ (* z (+ (* -1 (* x y)) (+ (* -1 (* (pow y 2) z)) (* x y)))) (pow x 2))>
#<alt (* -1 (* (pow y 2) (pow z 2)))>
#<alt (* (pow z 2) (+ (* -1 (/ (* x y) z)) (+ (* -1 (pow y 2)) (/ (* x y) z))))>
#<alt (* (pow z 2) (+ (* -1 (/ (* x y) z)) (+ (* -1 (pow y 2)) (+ (/ (* x y) z) (/ (pow x 2) (pow z 2))))))>
#<alt (* (pow z 2) (+ (* -1 (/ (* x y) z)) (+ (* -1 (pow y 2)) (+ (/ (* x y) z) (/ (pow x 2) (pow z 2))))))>
#<alt (* -1 (* (pow y 2) (pow z 2)))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (* x y)) (* x y)) z)) (* -1 (pow y 2))))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (* x y)) (+ (* -1 (/ (pow x 2) z)) (* x y))) z)) (* -1 (pow y 2))))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (* x y)) (+ (* -1 (/ (pow x 2) z)) (* x y))) z)) (* -1 (pow y 2))))>
#<alt (* -1 (* (pow y 2) (pow z 2)))>
#<alt (+ (* -1 (* (pow y 2) (pow z 2))) (* x (+ (* -1 (* y z)) (* y z))))>
#<alt (+ (* -1 (* (pow y 2) (pow z 2))) (* x (+ x (+ (* -1 (* y z)) (* y z)))))>
#<alt (+ (* -1 (* (pow y 2) (pow z 2))) (* x (+ x (+ (* -1 (* y z)) (* y z)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (* y z) x)) (/ (* y z) x))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (/ (* y z) x)))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (/ (* y z) x)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (* y z) x)) (/ (* y z) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ (* -1 (* y z)) (* y z))) (/ (* (pow y 2) (pow z 2)) x)) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ (* -1 (* y z)) (* y z))) (/ (* (pow y 2) (pow z 2)) x)) x))))>
#<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 (neg (* -2 y)))))>
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 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 (* 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))>
Calls

171 calls:

TimeVariablePointExpression
7.0ms
z
@0
(/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z)))
3.0ms
z
@inf
(- (* x (cos y)) (* z (sin y)))
1.0ms
y
@inf
(/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z)))
1.0ms
y
@-inf
(/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z)))
1.0ms
x
@-inf
(/ 1 (- (* x (cos y)) (* z (sin y))))

simplify713.0ms (5%)

Memory
-9.6MiB live, 510.7MiB allocated
Algorithm
egg-herbie
Rules
8 096×lower-fma.f64
8 096×lower-fma.f32
6 504×lower-*.f64
6 504×lower-*.f32
2 604×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07027002
123446677
279066665
083026406
Stop Event
iter limit
node limit
Counts
684 → 665
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)))))
(/ -1 (* z (sin y)))
(- (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y))))
(- (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(- (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(/ 1 (* x (cos y)))
(/ (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x)
(/ 1 (* x (cos y)))
(* -1 (/ (- (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(/ 1 x)
(+ (/ 1 x) (/ (* y z) (pow x 2)))
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x)) (+ (* -1/2 (/ z (pow x 2))) (* 1/6 (/ z (pow x 2))))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (* x (cos y)))
(+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2))))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(/ -1 (* z (sin y)))
(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
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(* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))
(* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 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)))
(* -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 (/ (* 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)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (* x (sin y))))))
(* x (+ (cos y) (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (* x (sin y))))))
(* x (+ (cos y) (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (* x (sin y))))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (* x (sin y))))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (* x (sin y))))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (* x (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 (* 2 y))))) (sin y)))
(* z (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 y)))) (sin y))) (/ (* x (cos y)) z)))
(* z (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 y)))) (sin y))) (/ (* x (cos y)) z)))
(* z (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 y)))) (sin y))) (/ (* x (cos y)) z)))
(* -1 (* z (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))
(* -1 (* z (+ (* -1 (/ (* x (cos y)) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))
(* -1 (* z (+ (* -1 (/ (* x (cos y)) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))
(* -1 (* z (+ (* -1 (/ (* x (cos y)) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (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))
(pow x 2)
(+ (* y (+ (* -1 (* x z)) (* x z))) (pow x 2))
(+ (* y (+ (* -1 (* x z)) (+ (* -1 (* y (pow z 2))) (* x z)))) (pow x 2))
(+ (* y (+ (* -1 (* x z)) (+ (* -1 (* y (pow z 2))) (* x z)))) (pow x 2))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (* -1 (pow z 2)) (/ (* x z) y))))
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (* -1 (pow z 2)) (+ (/ (* x z) y) (/ (pow x 2) (pow y 2))))))
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (* -1 (pow z 2)) (+ (/ (* x z) y) (/ (pow x 2) (pow y 2))))))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (* x z)) y)) (* -1 (pow z 2))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (+ (* -1 (/ (pow x 2) y)) (* x z))) y)) (* -1 (pow z 2))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (+ (* -1 (/ (pow x 2) y)) (* x z))) y)) (* -1 (pow z 2))))
(pow x 2)
(+ (* z (+ (* -1 (* x y)) (* x y))) (pow x 2))
(+ (* z (+ (* -1 (* x y)) (+ (* -1 (* (pow y 2) z)) (* x y)))) (pow x 2))
(+ (* z (+ (* -1 (* x y)) (+ (* -1 (* (pow y 2) z)) (* x y)))) (pow x 2))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow z 2) (+ (* -1 (/ (* x y) z)) (+ (* -1 (pow y 2)) (/ (* x y) z))))
(* (pow z 2) (+ (* -1 (/ (* x y) z)) (+ (* -1 (pow y 2)) (+ (/ (* x y) z) (/ (pow x 2) (pow z 2))))))
(* (pow z 2) (+ (* -1 (/ (* x y) z)) (+ (* -1 (pow y 2)) (+ (/ (* x y) z) (/ (pow x 2) (pow z 2))))))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (* x y)) (* x y)) z)) (* -1 (pow y 2))))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (* x y)) (+ (* -1 (/ (pow x 2) z)) (* x y))) z)) (* -1 (pow y 2))))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (* x y)) (+ (* -1 (/ (pow x 2) z)) (* x y))) z)) (* -1 (pow y 2))))
(* -1 (* (pow y 2) (pow z 2)))
(+ (* -1 (* (pow y 2) (pow z 2))) (* x (+ (* -1 (* y z)) (* y z))))
(+ (* -1 (* (pow y 2) (pow z 2))) (* x (+ x (+ (* -1 (* y z)) (* y z)))))
(+ (* -1 (* (pow y 2) (pow z 2))) (* x (+ x (+ (* -1 (* y z)) (* y z)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* -1 (/ (* y z) x)) (/ (* y z) x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (/ (* y z) x)))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (/ (* y z) x)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* -1 (/ (* y z) x)) (/ (* y z) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ (* -1 (* y z)) (* y z))) (/ (* (pow y 2) (pow z 2)) x)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ (* -1 (* y z)) (* y z))) (/ (* (pow y 2) (pow z 2)) x)) x))))
(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 (neg (* -2 y)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 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))
(* 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))
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 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 z y))
(+ x (* y (- (* -1/2 (* x y)) z)))
(fma.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z) x)
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) 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)
(- (* 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 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 (* z (sin y)))
(/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(- (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y))))
(fma.f64 x (/.f64 (cos.f64 y) (*.f64 (*.f64 z (neg.f64 z)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
(- (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(fma.f64 x (neg.f64 (fma.f64 x (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (/.f64 (cos.f64 y) (*.f64 z (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))))))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
(- (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(fma.f64 x (-.f64 (*.f64 x (neg.f64 (fma.f64 x (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))))) (/.f64 (cos.f64 y) (*.f64 z (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(/ (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x)
(/.f64 (fma.f64 z (/.f64 (sin.f64 y) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)
(/.f64 (fma.f64 z (/.f64 (sin.f64 y) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (fma.f64 (*.f64 z z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x (*.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (cos.f64 y)))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x)
(/.f64 (-.f64 (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 z (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 x (*.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))))) x)
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(* -1 (/ (- (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x))
(/.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(/.f64 (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (fma.f64 (*.f64 z z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x (*.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (cos.f64 y))))) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(neg.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (neg.f64 (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (/.f64 (*.f64 z (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (neg.f64 x)))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (/ 1 x) (/ (* y z) (pow x 2)))
(fma.f64 z (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(fma.f64 y (fma.f64 y (fma.f64 z (/.f64 z (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 z (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x)) (+ (* -1/2 (/ z (pow x 2))) (* 1/6 (/ z (pow x 2))))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(fma.f64 y (fma.f64 y (fma.f64 (-.f64 (*.f64 (/.f64 z (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 (fma.f64 z (/.f64 z (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 z x))) (neg.f64 y) (fma.f64 z (/.f64 z (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 z (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2))))
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(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(*.f64 y (fma.f64 y (*.f64 y (*.f64 z (fma.f64 (*.f64 y 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))
(*.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))
(* 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))

rewrite577.0ms (4%)

Memory
20.3MiB live, 375.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 516×lower-fma.f32
5 508×lower-fma.f64
4 788×lower-*.f32
4 772×lower-*.f64
4 734×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
045253
076231
1280210
21879210
08285210
Stop Event
iter limit
node limit
iter limit
Counts
24 → 1 218
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))
#s(approx (- x (* z y)) (*.f64 y (neg.f64 z)))
(*.f64 y (neg.f64 z))
(neg.f64 z)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))
(/.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 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
(fma.f64 y z x)
(fma.f64 (cos.f64 y) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
(cos.f64 y)
(neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))
#s(approx (* z (sin y)) (*.f64 y z))
(/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z))) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))
(+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))
(*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)))
(fma.f64 (cos.f64 y) x (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z))) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))))
(*.f64 z (sin.f64 y))
(*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(*.f64 (sin.f64 y) z)
Outputs
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))
(+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) (neg.f64 z))))
(+.f64 (*.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64)) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))) #s(literal 1 binary64)))
(-.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) #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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 (*.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 (/.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64)) (/.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)))
(-.f64 (-.f64 (*.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 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.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)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (-.f64 (*.f64 x (cos.f64 y)) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.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)) (*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (/.f64 (*.f64 (*.f64 z z) (-.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))))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))) (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) (neg.f64 z))))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 z z) (/.f64 (*.f64 (sin.f64 y) (*.f64 z (sin.f64 y))) (neg.f64 (sin.f64 y))) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 z (sin.f64 y)) (/.f64 (*.f64 (sin.f64 y) (*.f64 z (sin.f64 y))) (neg.f64 z)) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (*.f64 z z) (sin.f64 y)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 z)) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (*.f64 z z) z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (sin.f64 y))) (*.f64 x (cos.f64 y)))
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (*.f64 z z) (neg.f64 (sin.f64 y))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (*.f64 z z) (neg.f64 z)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (sin.f64 y)) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (*.f64 z z) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 z (neg.f64 (sin.f64 y))) (/.f64 (*.f64 (sin.f64 y) (*.f64 z (sin.f64 y))) z) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 z (neg.f64 z)) (/.f64 (*.f64 (sin.f64 y) (*.f64 z (sin.f64 y))) (sin.f64 y)) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 (sin.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (sin.f64 y) z) (/.f64 (*.f64 z (*.f64 z (sin.f64 y))) (neg.f64 (sin.f64 y))) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (sin.f64 y) (sin.f64 y)) (/.f64 (*.f64 z (*.f64 z (sin.f64 y))) (neg.f64 z)) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (sin.f64 y) (neg.f64 z)) (/.f64 (*.f64 z (*.f64 z (sin.f64 y))) (sin.f64 y)) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (*.f64 z (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (/.f64 (*.f64 z (*.f64 z (sin.f64 y))) z) (*.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 (sin.f64 y))) (/.f64 (*.f64 z z) z) (*.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 z)) (/.f64 (*.f64 z z) (sin.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)))) (sin.f64 y)) (/.f64 (*.f64 z z) (neg.f64 z)) (*.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)))) z) (/.f64 (*.f64 z z) (neg.f64 (sin.f64 y))) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (*.f64 z (sin.f64 y)) z) (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 (sin.f64 y))) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (*.f64 z (sin.f64 y)) z) (/.f64 (-.f64 (*.f64 z (sin.f64 y)) #s(literal 0 binary64)) (neg.f64 (sin.f64 y))) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 (sin.f64 y))) (/.f64 (*.f64 z (sin.f64 y)) z) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 (sin.f64 y))) (/.f64 (-.f64 (*.f64 z (sin.f64 y)) #s(literal 0 binary64)) z) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (*.f64 z (sin.f64 y)) (sin.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 z)) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (*.f64 z (sin.f64 y)) (sin.f64 y)) (/.f64 (-.f64 (*.f64 z (sin.f64 y)) #s(literal 0 binary64)) (neg.f64 z)) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 z)) (/.f64 (*.f64 z (sin.f64 y)) (sin.f64 y)) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 z)) (/.f64 (-.f64 (*.f64 z (sin.f64 y)) #s(literal 0 binary64)) (sin.f64 y)) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (*.f64 z (sin.f64 y)) #s(literal -1 binary64)) (/.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (*.f64 z (sin.f64 y)) #s(literal -1 binary64)) (/.f64 (-.f64 (*.f64 z (sin.f64 y)) #s(literal 0 binary64)) (*.f64 z (sin.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)))) #s(literal -1 binary64)) (/.f64 (*.f64 z z) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (*.f64 (*.f64 z (sin.f64 y)) z) z) (/.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (*.f64 (*.f64 z (sin.f64 y)) z) (sin.f64 y)) (/.f64 (sin.f64 y) (neg.f64 z)) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (*.f64 (*.f64 z (sin.f64 y)) z) (neg.f64 z)) (/.f64 (sin.f64 y) (sin.f64 y)) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (*.f64 (*.f64 z (sin.f64 y)) z) #s(literal -1 binary64)) (/.f64 (sin.f64 y) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (*.f64 (*.f64 z (sin.f64 y)) z) (neg.f64 (sin.f64 y))) (/.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y)) z) (/.f64 z (neg.f64 (sin.f64 y))) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y)) (sin.f64 y)) (/.f64 z (neg.f64 z)) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y)) (neg.f64 z)) (/.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 z (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y)) (neg.f64 (sin.f64 y))) (/.f64 z z) (*.f64 x (cos.f64 y)))
(neg.f64 (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.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 #s(literal 1 binary64) (/.f64 (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 x x)) (*.f64 (*.f64 z z) (-.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 (sin.f64 y) (neg.f64 z))) #s(literal 1 binary64))
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(*.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3/2 binary64)) (*.f64 z (sin.f64 y))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3/2 binary64)) (*.f64 z (sin.f64 y))))
(*.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3/2 binary64)) (*.f64 z (sin.f64 y))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3/2 binary64)) (-.f64 (*.f64 z (sin.f64 y)) #s(literal 0 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3/2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) z)) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3/2 binary64)) (sin.f64 y)))
(*.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3/2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3/2 binary64)) z))

eval499.0ms (3.5%)

Memory
9.2MiB live, 284.0MiB allocated
Compiler

Compiled 53 283 to 4 353 computations (91.8% saved)

prune542.0ms (3.8%)

Memory
-17.2MiB live, 521.0MiB allocated
Pruning

50 alts after pruning (46 fresh and 4 done)

PrunedKeptTotal
New1 955371 992
Fresh18927
Picked415
Done033
Total1 977502 027
Accuracy
100.0%
Counts
2 027 → 50
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
99.8%
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
54.8%
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))))
56.9%
(fma.f64 (cos.f64 y) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
50.2%
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
50.3%
(fma.f64 #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
47.3%
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
75.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
57.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
31.8%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (fma.f64 z (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
57.5%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 (fma.f64 z (/.f64 (sin.f64 y) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x)))
36.3%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
42.1%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))))
76.1%
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
50.9%
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (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))))
50.9%
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))))
51.3%
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))))
40.5%
(*.f64 (fma.f64 (*.f64 (*.f64 x (cos.f64 y)) x) (cos.f64 y) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
27.1%
(*.f64 (fma.f64 x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z))))
50.4%
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (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))
50.2%
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z) x))
93.2%
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))))
57.8%
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x (cos.f64 y)))
42.2%
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (neg.f64 (*.f64 z (sin.f64 y))))
52.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
17.3%
#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))) (fma.f64 x x (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 y (neg.f64 z)))))))
13.6%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (/.f64 (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))) (*.f64 (-.f64 (*.f64 y z) x) (fma.f64 y z x))))))
12.5%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 #s(approx (+ (* y z) x) (*.f64 z y)) (-.f64 x (*.f64 y z))))))
10.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #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)))))))
18.5%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 x x)))))
26.8%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
23.0%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y z) x))) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
28.4%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))))
51.4%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))))
35.5%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x))))
12.4%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (neg.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 z (*.f64 y y)))) (/.f64 x (*.f64 y y)))) z)) (neg.f64 z)))))
29.6%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) x))))
18.9%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(literal -1 binary64) (*.f64 z y)))))
28.4%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))))
28.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))
51.4%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
40.7%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z))))) (*.f64 y (-.f64 (/.f64 x y) z))))
50.3%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z))))) (neg.f64 (*.f64 x (fma.f64 z (/.f64 y x) #s(literal -1 binary64))))))
9.7%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (/.f64 (neg.f64 (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))))
18.9%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))
26.9%
#s(approx (+ (* (cos y) x) (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin 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))) (neg.f64 (sin.f64 y))))
70.6%
#s(approx (+ (* (cos y) x) (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (*.f64 (sin.f64 y) x)) (neg.f64 (cos.f64 y))) (neg.f64 x)))
70.8%
#s(approx (+ (* (cos y) x) (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z)))) (*.f64 z (fma.f64 x (/.f64 (cos.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))))))
57.5%
#s(approx (* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* x (cos y)) (* z (sin 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))))
26.5%
#s(approx (* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (/.f64 z (sin.f64 y)))))
Compiler

Compiled 1 965 to 1 093 computations (44.4% saved)

simplify642.0ms (4.5%)

Memory
15.9MiB live, 412.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
cost-diff0
#s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))
cost-diff0
(cos.f64 y)
cost-diff0
(fma.f64 (cos.f64 y) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) x)))
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) x))))
cost-diff128
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x))
cost-diff320
(fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y))
cost-diff0
(*.f64 y y)
cost-diff0
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
cost-diff0
#s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
cost-diff0
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
cost-diff0
(neg.f64 z)
cost-diff0
(fma.f64 (neg.f64 z) y x)
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
cost-diff0
(cos.f64 y)
cost-diff0
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
cost-diff0
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))))
cost-diff704
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
Rules
8 046×lower-fma.f32
8 032×lower-fma.f64
3 836×lower-*.f32
3 818×lower-*.f64
2 264×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066476
0102466
1195429
2442421
31124416
43240414
56312414
08114400
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
x
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(cos.f64 y)
y
(/.f64 (*.f64 z (sin.f64 y)) x)
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
(fma.f64 (neg.f64 z) y x)
(neg.f64 z)
z
y
x
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
#s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 y y)
y
(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
x
(neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))
#s(approx (* z (sin y)) (*.f64 y z))
(*.f64 y z)
z
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) x)))
#s(literal 1 binary64)
#s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) x)
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x))
(/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)
(fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y))
y
(*.f64 y (/.f64 (*.f64 z z) x))
(/.f64 (*.f64 z z) x)
(*.f64 z z)
z
x
(*.f64 z y)
(fma.f64 (cos.f64 y) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
(cos.f64 y)
y
x
#s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))
(*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))
z
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))
#s(literal 1/6 binary64)
(*.f64 y y)
#s(literal -1 binary64)
Outputs
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y)))))
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
x
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
(cos.f64 y)
y
(/.f64 (*.f64 z (sin.f64 y)) x)
(*.f64 z (/.f64 (sin.f64 y) x))
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (-.f64 x (*.f64 y z)))
(fma.f64 (neg.f64 z) y x)
(-.f64 x (*.f64 y z))
(neg.f64 z)
z
y
x
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
(fma.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
#s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
#s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 y y)
y
(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
x
(neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))
#s(approx (* z (sin y)) (*.f64 y z))
(*.f64 y z)
z
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) x))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (fma.f64 (fma.f64 (*.f64 y z) (/.f64 z x) z) (/.f64 y x) #s(literal 1 binary64)) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (fma.f64 (fma.f64 (*.f64 y z) (/.f64 z x) z) (/.f64 y x) #s(literal 1 binary64)) x)))
#s(literal 1 binary64)
#s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) x))
#s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (fma.f64 (fma.f64 (*.f64 y z) (/.f64 z x) z) (/.f64 y x) #s(literal 1 binary64)) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) x)
(/.f64 (fma.f64 (fma.f64 (*.f64 y z) (/.f64 z x) z) (/.f64 y x) #s(literal 1 binary64)) x)
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x))
(fma.f64 (fma.f64 (*.f64 y z) (/.f64 z x) z) (/.f64 y x) #s(literal 1 binary64))
(/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)
(/.f64 (*.f64 y (fma.f64 (*.f64 y z) (/.f64 z x) z)) x)
(fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y))
(*.f64 y (fma.f64 (*.f64 y z) (/.f64 z x) z))
y
(*.f64 y (/.f64 (*.f64 z z) x))
(/.f64 (*.f64 y (*.f64 z z)) x)
(/.f64 (*.f64 z z) x)
(*.f64 z z)
z
x
(*.f64 z y)
(*.f64 y z)
(fma.f64 (cos.f64 y) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
(fma.f64 x (cos.f64 y) #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 (*.f64 y z) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(cos.f64 y)
y
x
#s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))
#s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 (*.f64 y z) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(*.f64 (*.f64 y z) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))
(*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))
z
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))
#s(literal 1/6 binary64)
(*.f64 y y)
#s(literal -1 binary64)

localize294.0ms (2.1%)

Memory
-3.3MiB live, 753.2MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(fma.f64 (cos.f64 y) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
accuracy99.8%
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))
accuracy92.9%
(*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))
accuracy50.4%
#s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))
accuracy91.1%
(*.f64 y (/.f64 (*.f64 z z) x))
accuracy85.3%
(/.f64 (*.f64 z z) x)
accuracy52.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) x))))
accuracy47.7%
#s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) x))
accuracy99.9%
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
accuracy99.5%
(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
accuracy50.6%
#s(approx (* z (sin y)) (*.f64 y z))
accuracy50.5%
#s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
accuracy100.0%
(fma.f64 (neg.f64 z) y x)
accuracy100.0%
(neg.f64 z)
accuracy52.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
accuracy100.0%
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
accuracy99.8%
(*.f64 z (sin.f64 y))
accuracy97.9%
(/.f64 (*.f64 z (sin.f64 y)) x)
accuracy93.1%
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
Samples
108.0ms95×1valid
81.0ms133×0valid
31.0ms28×2valid
Compiler

Compiled 338 to 62 computations (81.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 183.0ms
ival-cos: 48.0ms (26.2% of total)
ival-mult: 37.0ms (20.2% of total)
ival-div: 19.0ms (10.4% of total)
ival-sin: 18.0ms (9.8% of total)
adjust: 17.0ms (9.3% of total)
ival-sub: 16.0ms (8.7% of total)
ival-add: 16.0ms (8.7% of total)
const: 7.0ms (3.8% of total)
ival-neg: 4.0ms (2.2% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series40.0ms (0.3%)

Memory
-20.4MiB live, 102.7MiB allocated
Counts
27 → 732
Calls
Call 1
Inputs
#<alt (*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))>
#<alt #s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))>
#<alt (cos.f64 y)>
#<alt #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))>
#<alt (fma.f64 (neg.f64 z) y x)>
#<alt (neg.f64 z)>
#<alt (fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))>
#<alt #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))>
#<alt (*.f64 y y)>
#<alt (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x))>
#<alt #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) x))))>
#<alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) x)))>
#<alt (fma.f64 (cos.f64 y) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))>
#<alt #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))>
#<alt (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))>
#<alt (/.f64 (*.f64 z (sin.f64 y)) x)>
#<alt (*.f64 z (sin.f64 y))>
#<alt #s(approx (* z (sin y)) (*.f64 y z))>
#<alt (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))>
#<alt #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) x))>
#<alt (/.f64 (*.f64 z z) x)>
#<alt (*.f64 y (/.f64 (*.f64 z z) x))>
#<alt (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))>
#<alt (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))>
Outputs
#<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>
#<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 (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (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 (* 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>
#<alt (+ 1 (* -1 (/ (* y z) x)))>
#<alt (+ 1 (* y (- (* -1/2 y) (/ z x))))>
#<alt (+ 1 (* y (- (* y (- (* 1/6 (/ (* y z) x)) 1/2)) (/ z x))))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (cos y)>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (* -1 (/ (* z (sin y)) x))>
#<alt (* z (- (/ (cos y) z) (/ (sin y) x)))>
#<alt (* z (- (/ (cos y) z) (/ (sin y) x)))>
#<alt (* z (- (/ (cos y) z) (/ (sin y) x)))>
#<alt (* -1 (/ (* z (sin y)) x))>
#<alt (* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))>
#<alt (* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))>
#<alt (* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))>
#<alt (* -1 (/ (* z (sin y)) x))>
#<alt (/ (- (* x (cos y)) (* z (sin y))) x)>
#<alt (/ (- (* x (cos y)) (* z (sin y))) x)>
#<alt (/ (- (* x (cos y)) (* z (sin y))) x)>
#<alt (cos y)>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (cos y)>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<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 (- (* 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)))>
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#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* y z) x)>
#<alt (* y (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x)))>
#<alt (* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* 1/120 (/ (* (pow y 2) z) x)))) (/ z x)))>
#<alt (* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* (pow y 2) (+ (* -1/5040 (/ (* (pow y 2) z) x)) (* 1/120 (/ z x)))))) (/ z x)))>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<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 (* 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>
#<alt (- (* 1/24 (pow y 2)) 1/2)>
#<alt (- (* 1/24 (pow y 2)) 1/2)>
#<alt (- (* 1/24 (pow y 2)) 1/2)>
#<alt (* 1/24 (pow y 2))>
#<alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* 1/24 (pow y 2))>
#<alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (/ 1 x)>
#<alt (+ (/ 1 x) (/ (* y z) (pow x 2)))>
#<alt (+ (* y (- (/ (* y (pow z 2)) (pow x 3)) (* -1 (/ z (pow x 2))))) (/ 1 x))>
#<alt (+ (* y (- (* y (- (/ (* y (pow z 3)) (pow x 4)) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))>
#<alt (/ -1 (* y z))>
#<alt (/ (- (* -1 (/ x (* y (pow z 2)))) (/ 1 z)) y)>
#<alt (/ (- (* -1 (/ (pow x 2) (* (pow y 2) (pow z 3)))) (+ (/ 1 z) (/ x (* y (pow z 2))))) y)>
#<alt (/ (- (* -1 (/ (pow x 3) (* (pow y 3) (pow z 4)))) (+ (/ 1 z) (+ (/ x (* y (pow z 2))) (/ (pow x 2) (* (pow y 2) (pow z 3)))))) y)>
#<alt (/ -1 (* y z))>
#<alt (* -1 (/ (+ (/ 1 z) (/ x (* y (pow z 2)))) y))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 2) (* y (pow z 3)))) (/ x (pow z 2))) y)) (/ 1 z)) y))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* y (pow z 4))) (* -1 (/ (pow x 2) (pow z 3)))) y)) (/ x (pow z 2))) y)) (/ 1 z)) y))>
#<alt (/ 1 x)>
#<alt (+ (/ 1 x) (/ (* y z) (pow x 2)))>
#<alt (+ (* z (- (/ (* (pow y 2) z) (pow x 3)) (* -1 (/ y (pow x 2))))) (/ 1 x))>
#<alt (+ (* z (- (* z (- (/ (* (pow y 3) z) (pow x 4)) (* -1 (/ (pow y 2) (pow x 3))))) (* -1 (/ y (pow x 2))))) (/ 1 x))>
#<alt (/ -1 (* y z))>
#<alt (/ (- (* -1 (/ x (* (pow y 2) z))) (/ 1 y)) z)>
#<alt (/ (- (* -1 (/ (pow x 2) (* (pow y 3) (pow z 2)))) (+ (/ 1 y) (/ x (* (pow y 2) z)))) z)>
#<alt (/ (- (* -1 (/ (pow x 3) (* (pow y 4) (pow z 3)))) (+ (/ 1 y) (+ (/ x (* (pow y 2) z)) (/ (pow x 2) (* (pow y 3) (pow z 2)))))) z)>
#<alt (/ -1 (* y z))>
#<alt (* -1 (/ (+ (/ 1 y) (/ x (* (pow y 2) z))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 2) (* (pow y 3) z))) (/ x (pow y 2))) z)) (/ 1 y)) z))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* (pow y 4) z)) (* -1 (/ (pow x 2) (pow y 3)))) z)) (/ x (pow y 2))) z)) (/ 1 y)) z))>
#<alt (/ -1 (* y z))>
#<alt (- (* -1 (/ x (* (pow y 2) (pow z 2)))) (/ 1 (* y z)))>
#<alt (- (* x (- (* -1 (/ x (* (pow y 3) (pow z 3)))) (/ 1 (* (pow y 2) (pow z 2))))) (/ 1 (* y z)))>
#<alt (- (* x (- (* x (- (* -1 (/ x (* (pow y 4) (pow z 4)))) (/ 1 (* (pow y 3) (pow z 3))))) (/ 1 (* (pow y 2) (pow z 2))))) (/ 1 (* y z)))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (/ (* y z) x)) x)>
#<alt (/ (- (+ 1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (* -1 (/ (* y z) x))) x)>
#<alt (/ (- (+ 1 (/ (* (pow y 3) (pow z 3)) (pow x 3))) (+ (* -1 (/ (* y z) x)) (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* -1 (/ (* y z) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 2) (pow z 2)) x) (* -1 (* y z))) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow y 3) (pow z 3)) x)) (* (pow y 2) (pow z 2))) x)) (* -1 (* y z))) x)) 1) x))>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (* y (pow z 2)) x)>
#<alt (/ (* y (pow z 2)) x)>
#<alt (/ (* y (pow z 2)) x)>
#<alt (/ (* y (pow z 2)) x)>
#<alt (/ (* y (pow z 2)) x)>
#<alt (/ (* y (pow z 2)) x)>
#<alt (/ (* y (pow z 2)) x)>
#<alt (/ (* y (pow z 2)) x)>
#<alt (/ (* y (pow z 2)) x)>
#<alt (/ (* y (pow z 2)) x)>
#<alt (/ (* y (pow z 2)) x)>
#<alt (/ (* y (pow z 2)) x)>
#<alt (/ (* y (pow z 2)) x)>
#<alt (/ (* y (pow z 2)) x)>
#<alt (/ (* y (pow z 2)) x)>
#<alt (/ (* y (pow z 2)) x)>
#<alt (/ (* y (pow z 2)) x)>
#<alt (/ (* y (pow z 2)) x)>
#<alt (/ (* y (pow z 2)) x)>
#<alt (/ (* y (pow z 2)) x)>
#<alt (/ (* y (pow z 2)) x)>
#<alt (/ (* y (pow z 2)) x)>
#<alt (/ (* y (pow z 2)) x)>
#<alt (/ (* y (pow z 2)) x)>
#<alt (/ (* y (pow z 2)) x)>
#<alt (/ (* y (pow z 2)) x)>
#<alt (/ (* y (pow z 2)) x)>
#<alt (/ (* y (pow z 2)) x)>
#<alt (/ (* y (pow z 2)) x)>
#<alt (/ (* y (pow z 2)) x)>
#<alt (/ (* y (pow z 2)) x)>
#<alt (/ (* y (pow z 2)) x)>
#<alt (/ (* y (pow z 2)) x)>
#<alt (/ (* y (pow z 2)) x)>
#<alt (/ (* y (pow z 2)) x)>
#<alt (/ (* y (pow z 2)) x)>
#<alt (* z (- (* 1/6 (pow y 2)) 1))>
#<alt (* z (- (* 1/6 (pow y 2)) 1))>
#<alt (* z (- (* 1/6 (pow y 2)) 1))>
#<alt (* z (- (* 1/6 (pow y 2)) 1))>
#<alt (* z (- (* 1/6 (pow y 2)) 1))>
#<alt (* z (- (* 1/6 (pow y 2)) 1))>
#<alt (* z (- (* 1/6 (pow y 2)) 1))>
#<alt (* z (- (* 1/6 (pow y 2)) 1))>
#<alt (* z (- (* 1/6 (pow y 2)) 1))>
#<alt (* z (- (* 1/6 (pow y 2)) 1))>
#<alt (* z (- (* 1/6 (pow y 2)) 1))>
#<alt (* z (- (* 1/6 (pow y 2)) 1))>
#<alt (* -1 z)>
#<alt (+ (* -1 z) (* 1/6 (* (pow y 2) z)))>
#<alt (+ (* -1 z) (* 1/6 (* (pow y 2) z)))>
#<alt (+ (* -1 z) (* 1/6 (* (pow y 2) z)))>
#<alt (* 1/6 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))>
#<alt (* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))>
#<alt (* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))>
#<alt (* 1/6 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))>
#<alt (* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))>
#<alt (* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))>
#<alt -1>
#<alt (- (* 1/6 (pow y 2)) 1)>
#<alt (- (* 1/6 (pow y 2)) 1)>
#<alt (- (* 1/6 (pow y 2)) 1)>
#<alt (* 1/6 (pow y 2))>
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))>
#<alt (* 1/6 (pow y 2))>
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))>
Calls

183 calls:

TimeVariablePointExpression
2.0ms
z
@inf
(+ (* y (* y (/ (* z z) x))) (* z y))
1.0ms
z
@0
(* y (* z (+ (* 1/6 (* y y)) -1)))
1.0ms
y
@-inf
(* x (- (cos y) (/ (* z (sin y)) x)))
1.0ms
y
@inf
(* x (- (cos y) (/ (* z (sin y)) x)))
1.0ms
y
@0
(* y (* z (+ (* 1/6 (* y y)) -1)))

simplify317.0ms (2.2%)

Memory
30.5MiB live, 668.7MiB allocated
Algorithm
egg-herbie
Rules
6 880×lower-fma.f64
6 880×lower-fma.f32
6 384×lower-*.f64
6 384×lower-*.f32
2 094×lower-neg.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05286918
116876749
250196722
082796466
Stop Event
iter limit
node limit
Counts
732 → 718
Calls
Call 1
Inputs
(* -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
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (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 (* 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
(+ 1 (* -1 (/ (* y z) x)))
(+ 1 (* y (- (* -1/2 y) (/ z x))))
(+ 1 (* y (- (* y (- (* 1/6 (/ (* y z) x)) 1/2)) (/ 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)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(* -1 (/ (* z (sin y)) x))
(* z (- (/ (cos y) z) (/ (sin y) x)))
(* z (- (/ (cos y) z) (/ (sin y) x)))
(* z (- (/ (cos y) z) (/ (sin y) x)))
(* -1 (/ (* z (sin y)) x))
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (/ (* z (sin y)) x))
(/ (- (* x (cos y)) (* z (sin y))) x)
(/ (- (* x (cos y)) (* z (sin y))) x)
(/ (- (* x (cos y)) (* z (sin y))) x)
(cos y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(cos y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
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)))
(- (* 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
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* -1 (* y z))
(* z (+ (* -1 y) (/ x z)))
(* z (+ (* -1 y) (/ x z)))
(* z (+ (* -1 y) (/ x z)))
(* -1 (* y z))
(* -1 (* z (+ y (* -1 (/ x z)))))
(* -1 (* z (+ y (* -1 (/ x z)))))
(* -1 (* z (+ y (* -1 (/ x z)))))
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* -1 (* y z))
(* y (+ (* -1 z) (/ x y)))
(* y (+ (* -1 z) (/ x y)))
(* y (+ (* -1 z) (/ x y)))
(* -1 (* y z))
(* -1 (* y (+ z (* -1 (/ x y)))))
(* -1 (* y (+ z (* -1 (/ x y)))))
(* -1 (* y (+ z (* -1 (/ x y)))))
(* -1 (* y z))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* 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)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
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(/ -1 (* y z))
(- (* -1 (/ x (* (pow y 2) (pow z 2)))) (/ 1 (* y z)))
(- (* x (- (* -1 (/ x (* (pow y 3) (pow z 3)))) (/ 1 (* (pow y 2) (pow z 2))))) (/ 1 (* y z)))
(- (* x (- (* x (- (* -1 (/ x (* (pow y 4) (pow z 4)))) (/ 1 (* (pow y 3) (pow z 3))))) (/ 1 (* (pow y 2) (pow z 2))))) (/ 1 (* y z)))
(/ 1 x)
(/ (+ 1 (/ (* y z) x)) x)
(/ (- (+ 1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (* -1 (/ (* y z) x))) x)
(/ (- (+ 1 (/ (* (pow y 3) (pow z 3)) (pow x 3))) (+ (* -1 (/ (* y z) x)) (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))))) x)
(/ 1 x)
(* -1 (/ (- (* -1 (/ (* y z) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow y 2) (pow z 2)) x) (* -1 (* y z))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow y 3) (pow z 3)) x)) (* (pow y 2) (pow z 2))) x)) (* -1 (* y z))) x)) 1) x))
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (* y (pow z 2)) x)
(/ (* y (pow z 2)) x)
(/ (* y (pow z 2)) x)
(/ (* y (pow z 2)) x)
(/ (* y (pow z 2)) x)
(/ (* y (pow z 2)) x)
(/ (* y (pow z 2)) x)
(/ (* y (pow z 2)) x)
(/ (* y (pow z 2)) x)
(/ (* y (pow z 2)) x)
(/ (* y (pow z 2)) x)
(/ (* y (pow z 2)) x)
(/ (* y (pow z 2)) x)
(/ (* y (pow z 2)) x)
(/ (* y (pow z 2)) x)
(/ (* y (pow z 2)) x)
(/ (* y (pow z 2)) x)
(/ (* y (pow z 2)) x)
(/ (* y (pow z 2)) x)
(/ (* y (pow z 2)) x)
(/ (* y (pow z 2)) x)
(/ (* y (pow z 2)) x)
(/ (* y (pow z 2)) x)
(/ (* y (pow z 2)) x)
(/ (* y (pow z 2)) x)
(/ (* y (pow z 2)) x)
(/ (* y (pow z 2)) x)
(/ (* y (pow z 2)) x)
(/ (* y (pow z 2)) x)
(/ (* y (pow z 2)) x)
(/ (* y (pow z 2)) x)
(/ (* y (pow z 2)) x)
(/ (* y (pow z 2)) x)
(/ (* y (pow z 2)) x)
(/ (* y (pow z 2)) x)
(/ (* y (pow z 2)) x)
(* z (- (* 1/6 (pow y 2)) 1))
(* z (- (* 1/6 (pow y 2)) 1))
(* z (- (* 1/6 (pow y 2)) 1))
(* z (- (* 1/6 (pow y 2)) 1))
(* z (- (* 1/6 (pow y 2)) 1))
(* z (- (* 1/6 (pow y 2)) 1))
(* z (- (* 1/6 (pow y 2)) 1))
(* z (- (* 1/6 (pow y 2)) 1))
(* z (- (* 1/6 (pow y 2)) 1))
(* z (- (* 1/6 (pow y 2)) 1))
(* z (- (* 1/6 (pow y 2)) 1))
(* z (- (* 1/6 (pow y 2)) 1))
(* -1 z)
(+ (* -1 z) (* 1/6 (* (pow y 2) z)))
(+ (* -1 z) (* 1/6 (* (pow y 2) z)))
(+ (* -1 z) (* 1/6 (* (pow y 2) z)))
(* 1/6 (* (pow y 2) z))
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(* 1/6 (* (pow y 2) z))
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
-1
(- (* 1/6 (pow y 2)) 1)
(- (* 1/6 (pow y 2)) 1)
(- (* 1/6 (pow y 2)) 1)
(* 1/6 (pow y 2))
(* (pow y 2) (- 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (- 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (- 1/6 (/ 1 (pow y 2))))
(* 1/6 (pow y 2))
(* (pow y 2) (- 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (- 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (- 1/6 (/ 1 (pow y 2))))
Outputs
(* -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 (fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y)))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(fma.f64 y (fma.f64 x (*.f64 y #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 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)) x)))
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z (neg.f64 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 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (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 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (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 (fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y)))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ x (* y (- (* -1/2 (* x y)) z)))
(fma.f64 y (fma.f64 x (*.f64 y #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 z (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))))
(* z (- (/ (* x (cos y)) z) (sin y)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))))
(* z (- (/ (* x (cos y)) z) (sin y)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (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 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (* y z) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))
(+ 1 (* y (- (* -1/2 y) (/ z x))))
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z (neg.f64 x))) #s(literal 1 binary64))
(+ 1 (* y (- (* y (- (* 1/6 (/ (* y z) x)) 1/2)) (/ z x))))
(fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 (/.f64 z x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 z x)) #s(literal 1 binary64))
(- (cos y) (/ (* z (sin y)) x))
(fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y))
(- (cos y) (/ (* z (sin y)) x))
(fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y))
(- (cos y) (/ (* z (sin y)) x))
(fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y))
(- (cos y) (/ (* z (sin y)) x))
(fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y))
(- (cos y) (/ (* z (sin y)) x))
(fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y))
(- (cos y) (/ (* z (sin y)) x))
(fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y))
(- (cos y) (/ (* z (sin y)) x))
(fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y))
(- (cos y) (/ (* z (sin y)) x))
(fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y))
(cos y)
(cos.f64 y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y))
(* -1 (/ (* z (sin y)) x))
(/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x))
(* z (- (/ (cos y) z) (/ (sin y) x)))
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))
(* z (- (/ (cos y) z) (/ (sin y) x)))
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))
(* z (- (/ (cos y) z) (/ (sin y) x)))
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))
(* -1 (/ (* z (sin y)) x))
(/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x))
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))
(* -1 (/ (* z (sin y)) x))
(/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x))
(/ (- (* x (cos y)) (* z (sin y))) x)
(-.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) (/.f64 (*.f64 z (sin.f64 y)) x))
(/ (- (* x (cos y)) (* z (sin y))) x)
(-.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) (/.f64 (*.f64 z (sin.f64 y)) x))
(/ (- (* x (cos y)) (* z (sin y))) x)
(-.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) (/.f64 (*.f64 z (sin.f64 y)) x))
(cos y)
(cos.f64 y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y))
(cos y)
(cos.f64 y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(fma.f64 (sin.f64 y) (/.f64 z (neg.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 (*.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)))
(- (* 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 (fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y)))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ x (* y (- (* -1/2 (* x y)) z)))
(fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) x)
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
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(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 x (/.f64 x (*.f64 z (*.f64 z (*.f64 y (*.f64 y y))))) (/.f64 x (*.f64 z (*.f64 y y))))) z)
(/ (- (* -1 (/ (pow x 3) (* (pow y 3) (pow z 4)))) (+ (/ 1 z) (+ (/ x (* y (pow z 2))) (/ (pow x 2) (* (pow y 2) (pow z 3)))))) y)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) z) (fma.f64 x (/.f64 x (*.f64 z (*.f64 z (*.f64 z (*.f64 y y))))) (/.f64 x (*.f64 z (*.f64 z y))))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) y)
(/ -1 (* y z))
(/.f64 #s(literal -1 binary64) (*.f64 z y))
(* -1 (/ (+ (/ 1 z) (/ x (* y (pow z 2)))) y))
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 z y)) (/.f64 x (*.f64 z (*.f64 z (*.f64 y y)))))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 2) (* y (pow z 3)))) (/ x (pow z 2))) y)) (/ 1 z)) y))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 z (*.f64 z z)))) (/.f64 x (*.f64 z z))) y)) (neg.f64 y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* y (pow z 4))) (* -1 (/ (pow x 2) (pow z 3)))) y)) (/ x (pow z 2))) y)) (/ 1 z)) y))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 x x) (/.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))) (/.f64 (*.f64 x x) (*.f64 z (*.f64 z z)))) y) (/.f64 x (*.f64 z z))) y)) (neg.f64 y))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (/ 1 x) (/ (* y z) (pow x 2)))
(fma.f64 z (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(+ (* z (- (/ (* (pow y 2) z) (pow x 3)) (* -1 (/ y (pow x 2))))) (/ 1 x))
(fma.f64 z (fma.f64 z (/.f64 (*.f64 y y) (*.f64 x (*.f64 x x))) (/.f64 y (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(+ (* z (- (* z (- (/ (* (pow y 3) z) (pow x 4)) (* -1 (/ (pow y 2) (pow x 3))))) (* -1 (/ y (pow x 2))))) (/ 1 x))
(fma.f64 z (fma.f64 z (fma.f64 z (/.f64 (*.f64 y (*.f64 y y)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 y y) (*.f64 x (*.f64 x x)))) (/.f64 y (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(/ -1 (* y z))
(/.f64 #s(literal -1 binary64) (*.f64 z y))
(/ (- (* -1 (/ x (* (pow y 2) z))) (/ 1 y)) z)
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 z y)) (/.f64 x (*.f64 z (*.f64 z (*.f64 y y)))))
(/ (- (* -1 (/ (pow x 2) (* (pow y 3) (pow z 2)))) (+ (/ 1 y) (/ x (* (pow y 2) z)))) z)
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 x (/.f64 x (*.f64 z (*.f64 z (*.f64 y (*.f64 y y))))) (/.f64 x (*.f64 z (*.f64 y y))))) z)
(/ (- (* -1 (/ (pow x 3) (* (pow y 4) (pow z 3)))) (+ (/ 1 y) (+ (/ x (* (pow y 2) z)) (/ (pow x 2) (* (pow y 3) (pow z 2)))))) z)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 x (/.f64 x (*.f64 z (*.f64 z (*.f64 y (*.f64 y y))))) (/.f64 x (*.f64 z (*.f64 y y))))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 z (*.f64 z z))))) z)
(/ -1 (* y z))
(/.f64 #s(literal -1 binary64) (*.f64 z y))
(* -1 (/ (+ (/ 1 y) (/ x (* (pow y 2) z))) z))
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 z y)) (/.f64 x (*.f64 z (*.f64 z (*.f64 y y)))))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 2) (* (pow y 3) z))) (/ x (pow y 2))) z)) (/ 1 y)) z))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 x (/.f64 x (*.f64 z (*.f64 y (*.f64 y y)))) (/.f64 x (*.f64 y y))) z)) (neg.f64 z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* (pow y 4) z)) (* -1 (/ (pow x 2) (pow y 3)))) z)) (/ x (pow y 2))) z)) (/ 1 y)) z))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 (/.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 (*.f64 y y) (*.f64 y y))))) z) (/.f64 x (*.f64 y y))) z)) (neg.f64 z))
(/ -1 (* y z))
(/.f64 #s(literal -1 binary64) (*.f64 z y))
(- (* -1 (/ x (* (pow y 2) (pow z 2)))) (/ 1 (* y z)))
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 z y)) (/.f64 x (*.f64 z (*.f64 z (*.f64 y y)))))
(- (* x (- (* -1 (/ x (* (pow y 3) (pow z 3)))) (/ 1 (* (pow y 2) (pow z 2))))) (/ 1 (* y z)))
(fma.f64 x (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 z (*.f64 y y)))) (/.f64 x (*.f64 z (*.f64 z (*.f64 z (*.f64 y (*.f64 y y))))))) (/.f64 #s(literal -1 binary64) (*.f64 z y)))
(- (* x (- (* x (- (* -1 (/ x (* (pow y 4) (pow z 4)))) (/ 1 (* (pow y 3) (pow z 3))))) (/ 1 (* (pow y 2) (pow z 2))))) (/ 1 (* y z)))
(fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 z (*.f64 z (*.f64 y (*.f64 y y)))))) (/.f64 x (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (pow.f64 z #s(literal 4 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 z (*.f64 y y))))) (/.f64 #s(literal -1 binary64) (*.f64 z y)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (/ (* y z) x)) x)
(/.f64 (fma.f64 z (/.f64 y x) #s(literal 1 binary64)) x)
(/ (- (+ 1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (* -1 (/ (* y z) x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (fma.f64 z (/.f64 (*.f64 y y) x) y)) x)) x)
(/ (- (+ 1 (/ (* (pow y 3) (pow z 3)) (pow x 3))) (+ (* -1 (/ (* y z) x)) (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))))) x)
(/.f64 (+.f64 (/.f64 (*.f64 z (fma.f64 z (/.f64 (*.f64 y y) x) y)) x) (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* -1 (/ (* y z) x)) 1) x))
(/.f64 (fma.f64 z (/.f64 y x) #s(literal 1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (/ (* (pow y 2) (pow z 2)) x) (* -1 (* y z))) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (fma.f64 z (/.f64 (*.f64 y y) x) y)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow y 3) (pow z 3)) x)) (* (pow y 2) (pow z 2))) x)) (* -1 (* y z))) x)) 1) x))
(/.f64 (+.f64 (/.f64 (fma.f64 z y (/.f64 (fma.f64 (*.f64 y y) (*.f64 y (/.f64 (*.f64 z (*.f64 z z)) x)) (*.f64 z (*.f64 z (*.f64 y y)))) x)) x) #s(literal 1 binary64)) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (* y (pow z 2)) x)
(*.f64 y (/.f64 (*.f64 z z) x))
(/ (* y (pow z 2)) x)
(*.f64 y (/.f64 (*.f64 z z) x))
(/ (* y (pow z 2)) x)
(*.f64 y (/.f64 (*.f64 z z) x))
(/ (* y (pow z 2)) x)
(*.f64 y (/.f64 (*.f64 z z) x))
(/ (* y (pow z 2)) x)
(*.f64 y (/.f64 (*.f64 z z) x))
(/ (* y (pow z 2)) x)
(*.f64 y (/.f64 (*.f64 z z) x))
(/ (* y (pow z 2)) x)
(*.f64 y (/.f64 (*.f64 z z) x))
(/ (* y (pow z 2)) x)
(*.f64 y (/.f64 (*.f64 z z) x))
(/ (* y (pow z 2)) x)
(*.f64 y (/.f64 (*.f64 z z) x))
(/ (* y (pow z 2)) x)
(*.f64 y (/.f64 (*.f64 z z) x))
(/ (* y (pow z 2)) x)
(*.f64 y (/.f64 (*.f64 z z) x))
(/ (* y (pow z 2)) x)
(*.f64 y (/.f64 (*.f64 z z) x))
(/ (* y (pow z 2)) x)
(*.f64 y (/.f64 (*.f64 z z) x))
(/ (* y (pow z 2)) x)
(*.f64 y (/.f64 (*.f64 z z) x))
(/ (* y (pow z 2)) x)
(*.f64 y (/.f64 (*.f64 z z) x))
(/ (* y (pow z 2)) x)
(*.f64 y (/.f64 (*.f64 z z) x))
(/ (* y (pow z 2)) x)
(*.f64 y (/.f64 (*.f64 z z) x))
(/ (* y (pow z 2)) x)
(*.f64 y (/.f64 (*.f64 z z) x))
(/ (* y (pow z 2)) x)
(*.f64 y (/.f64 (*.f64 z z) x))
(/ (* y (pow z 2)) x)
(*.f64 y (/.f64 (*.f64 z z) x))
(/ (* y (pow z 2)) x)
(*.f64 y (/.f64 (*.f64 z z) x))
(/ (* y (pow z 2)) x)
(*.f64 y (/.f64 (*.f64 z z) x))
(/ (* y (pow z 2)) x)
(*.f64 y (/.f64 (*.f64 z z) x))
(/ (* y (pow z 2)) x)
(*.f64 y (/.f64 (*.f64 z z) x))
(/ (* y (pow z 2)) x)
(*.f64 y (/.f64 (*.f64 z z) x))
(/ (* y (pow z 2)) x)
(*.f64 y (/.f64 (*.f64 z z) x))
(/ (* y (pow z 2)) x)
(*.f64 y (/.f64 (*.f64 z z) x))
(/ (* y (pow z 2)) x)
(*.f64 y (/.f64 (*.f64 z z) x))
(/ (* y (pow z 2)) x)
(*.f64 y (/.f64 (*.f64 z z) x))
(/ (* y (pow z 2)) x)
(*.f64 y (/.f64 (*.f64 z z) x))
(/ (* y (pow z 2)) x)
(*.f64 y (/.f64 (*.f64 z z) x))
(/ (* y (pow z 2)) x)
(*.f64 y (/.f64 (*.f64 z z) x))
(/ (* y (pow z 2)) x)
(*.f64 y (/.f64 (*.f64 z z) x))
(/ (* y (pow z 2)) x)
(*.f64 y (/.f64 (*.f64 z z) x))
(/ (* y (pow z 2)) x)
(*.f64 y (/.f64 (*.f64 z z) x))
(/ (* y (pow z 2)) x)
(*.f64 y (/.f64 (*.f64 z z) x))
(* z (- (* 1/6 (pow y 2)) 1))
(*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(* z (- (* 1/6 (pow y 2)) 1))
(*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(* z (- (* 1/6 (pow y 2)) 1))
(*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(* z (- (* 1/6 (pow y 2)) 1))
(*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(* z (- (* 1/6 (pow y 2)) 1))
(*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(* z (- (* 1/6 (pow y 2)) 1))
(*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(* z (- (* 1/6 (pow y 2)) 1))
(*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(* z (- (* 1/6 (pow y 2)) 1))
(*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(* z (- (* 1/6 (pow y 2)) 1))
(*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(* z (- (* 1/6 (pow y 2)) 1))
(*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(* z (- (* 1/6 (pow y 2)) 1))
(*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(* z (- (* 1/6 (pow y 2)) 1))
(*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(* -1 z)
(neg.f64 z)
(+ (* -1 z) (* 1/6 (* (pow y 2) z)))
(*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(+ (* -1 z) (* 1/6 (* (pow y 2) z)))
(*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(+ (* -1 z) (* 1/6 (* (pow y 2) z)))
(*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(* 1/6 (* (pow y 2) z))
(*.f64 z (*.f64 y (*.f64 y #s(literal 1/6 binary64))))
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(*.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal 1/6 binary64)) (/.f64 z (*.f64 y y))))
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(*.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal 1/6 binary64)) (/.f64 z (*.f64 y y))))
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(*.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal 1/6 binary64)) (/.f64 z (*.f64 y y))))
(* 1/6 (* (pow y 2) z))
(*.f64 z (*.f64 y (*.f64 y #s(literal 1/6 binary64))))
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(*.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal 1/6 binary64)) (/.f64 z (*.f64 y y))))
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(*.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal 1/6 binary64)) (/.f64 z (*.f64 y y))))
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(*.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal 1/6 binary64)) (/.f64 z (*.f64 y y))))
-1
#s(literal -1 binary64)
(- (* 1/6 (pow y 2)) 1)
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))
(- (* 1/6 (pow y 2)) 1)
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))
(- (* 1/6 (pow y 2)) 1)
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))
(* 1/6 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/6 binary64)))
(* (pow y 2) (- 1/6 (/ 1 (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))
(* (pow y 2) (- 1/6 (/ 1 (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))
(* (pow y 2) (- 1/6 (/ 1 (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))
(* 1/6 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/6 binary64)))
(* (pow y 2) (- 1/6 (/ 1 (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))
(* (pow y 2) (- 1/6 (/ 1 (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))
(* (pow y 2) (- 1/6 (/ 1 (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))

rewrite322.0ms (2.2%)

Memory
-22.1MiB live, 688.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 454×lower-*.f32
5 436×lower-*.f64
4 042×lower-fma.f32
4 028×lower-fma.f64
3 368×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066398
0102390
1444355
23344355
08560348
Stop Event
iter limit
node limit
iter limit
Counts
27 → 420
Calls
Call 1
Inputs
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(cos.f64 y)
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
(fma.f64 (neg.f64 z) y x)
(neg.f64 z)
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
#s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 y y)
(fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) x)))
(fma.f64 (cos.f64 y) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
#s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))
(*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(/.f64 (*.f64 z (sin.f64 y)) x)
(*.f64 z (sin.f64 y))
#s(approx (* z (sin y)) (*.f64 y z))
(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
#s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) x))
(/.f64 (*.f64 z z) x)
(*.f64 y (/.f64 (*.f64 z z) x))
(*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))
Outputs
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 x (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x))))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x)) x))
(fma.f64 x (cos.f64 y) (*.f64 x (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x))))
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(fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))
(fma.f64 (*.f64 y #s(literal 1/24 binary64)) y #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/576 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 y y) #s(literal -1/48 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/576 binary64) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64)) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/576 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 y y) #s(literal -1/48 binary64))))
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/576 binary64)) (*.f64 (*.f64 y y) #s(literal -1/48 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/576 binary64) #s(literal -1/4 binary64)) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/576 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 y y) #s(literal -1/48 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/576 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/576 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 y #s(literal 1/24 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/576 binary64)) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/576 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 y y) #s(literal -1/48 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/576 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/576 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 y y) #s(literal -1/48 binary64)))))
(*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/576 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 y (/.f64 (*.f64 z z) x) z)) x)) x))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 y (/.f64 (*.f64 z z) x) z)) x)) x))))
(/.f64 #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 y (/.f64 (*.f64 z z) x) z)) x)) x)) #s(literal 1 binary64))
(/.f64 (neg.f64 #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 y (/.f64 (*.f64 z z) x) z)) x)) x))) #s(literal -1 binary64))
#s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 y (/.f64 (*.f64 z z) x) z)) x)) x))
(pow.f64 #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 y (/.f64 (*.f64 z z) x) z)) x)) x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 y (/.f64 (*.f64 z z) x) z)) x)) x))) #s(literal -1 binary64))
(*.f64 #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 y (/.f64 (*.f64 z z) x) z)) x)) x)) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 z z))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (*.f64 z z) (neg.f64 x)))
(neg.f64 (/.f64 (*.f64 z z) (neg.f64 x)))
(neg.f64 (/.f64 (*.f64 z (neg.f64 z)) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 z z)) #s(literal 1 binary64)))
(/.f64 (*.f64 z z) x)
(/.f64 (*.f64 z (neg.f64 z)) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 z z))))
(/.f64 (neg.f64 (*.f64 z (neg.f64 z))) (neg.f64 (neg.f64 x)))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64)) x)
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) (*.f64 z z))) (*.f64 x x))
(pow.f64 (/.f64 x (*.f64 z z)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (*.f64 z z)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 z (/.f64 z x))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) x))
(*.f64 (neg.f64 z) (/.f64 z (neg.f64 x)))
(*.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 z (neg.f64 z)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z z) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z z))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)))
(*.f64 (/.f64 z x) z)
(/.f64 y (/.f64 x (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (*.f64 z z))))
(/.f64 (*.f64 y (*.f64 z z)) x)
(/.f64 (neg.f64 (*.f64 y (*.f64 z z))) (neg.f64 x))
(/.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 x (*.f64 z z)))
(/.f64 (*.f64 y (*.f64 z (neg.f64 z))) (neg.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 z z)))
(/.f64 (*.f64 (*.f64 z (neg.f64 z)) y) (neg.f64 x))
(pow.f64 (/.f64 x (*.f64 y (*.f64 z z))) #s(literal -1 binary64))
(*.f64 y (/.f64 (*.f64 z z) x))
(*.f64 z (*.f64 (/.f64 z x) y))
(*.f64 (*.f64 z z) (*.f64 (/.f64 #s(literal 1 binary64) x) y))
(*.f64 (/.f64 (*.f64 z z) x) y)
(*.f64 (*.f64 y z) (/.f64 z x))
(*.f64 (*.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (neg.f64 z) (*.f64 z (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))
(+.f64 (*.f64 z (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) (neg.f64 z))
(-.f64 (*.f64 z (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) z)
(-.f64 (fma.f64 z (*.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal 0 binary64)) z)
(fma.f64 z #s(literal -1 binary64) (*.f64 z (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))
(fma.f64 z (*.f64 y (*.f64 y #s(literal 1/6 binary64))) (neg.f64 z))
(fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) z) (neg.f64 z))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) z) (neg.f64 z))
(fma.f64 #s(literal -1 binary64) z (*.f64 z (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))
(fma.f64 (*.f64 y (*.f64 y #s(literal 1/6 binary64))) z (neg.f64 z))
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 y z) (neg.f64 z))
(fma.f64 (*.f64 z (*.f64 y y)) #s(literal 1/6 binary64) (neg.f64 z))
(fma.f64 (*.f64 z #s(literal 1/6 binary64)) (*.f64 y y) (neg.f64 z))
(fma.f64 (*.f64 z (*.f64 y #s(literal 1/6 binary64))) y (neg.f64 z))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/216 binary64)) (*.f64 z (*.f64 z z)) (neg.f64 (*.f64 z (*.f64 z z)))) (fma.f64 (*.f64 z (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) (*.f64 z (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) (-.f64 (*.f64 z z) (*.f64 (*.f64 z (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) (neg.f64 z)))))
(/.f64 (-.f64 (*.f64 (*.f64 z (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) (*.f64 z (*.f64 y (*.f64 y #s(literal 1/6 binary64))))) (*.f64 z z)) (-.f64 (*.f64 z (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) (neg.f64 z)))
(/.f64 (*.f64 z (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/216 binary64) #s(literal -1 binary64))) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))
(/.f64 (*.f64 z (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64))) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/216 binary64) #s(literal -1 binary64)) z) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) z) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) z)
(+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))
(+.f64 (*.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/216 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/216 binary64) #s(literal -1 binary64)) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/216 binary64) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/216 binary64) #s(literal -1 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/216 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/216 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
(*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))

eval152.0ms (1.1%)

Memory
15.4MiB live, 320.0MiB allocated
Compiler

Compiled 25 495 to 2 044 computations (92% saved)

prune152.0ms (1.1%)

Memory
-1.6MiB live, 370.2MiB allocated
Pruning

59 alts after pruning (53 fresh and 6 done)

PrunedKeptTotal
New1 165221 187
Fresh103141
Picked325
Done044
Total1 178591 237
Accuracy
100.0%
Counts
1 237 → 59
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
99.8%
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
54.8%
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))))
50.0%
(fma.f64 #s(approx (cos y) (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))) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
50.2%
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
50.2%
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
50.3%
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
18.4%
(fma.f64 #s(approx (cos y) #s(approx (+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
51.0%
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
47.3%
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
75.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
57.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
31.8%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (fma.f64 z (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
57.5%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 (fma.f64 z (/.f64 (sin.f64 y) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x)))
36.3%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
42.1%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))))
76.1%
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
50.9%
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (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))))
50.9%
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))))
51.3%
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))))
40.5%
(*.f64 (fma.f64 (*.f64 (*.f64 x (cos.f64 y)) x) (cos.f64 y) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
27.1%
(*.f64 (fma.f64 x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z))))
50.4%
#s(approx (/ 1 (/ 1 (- (* 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))
50.2%
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) x))
86.9%
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))))
89.3%
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x (fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y))))
57.8%
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x (cos.f64 y)))
44.7%
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z (neg.f64 x))) #s(literal 1 binary64)))))
35.5%
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x)))))
36.4%
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) #s(literal 1 binary64))))
42.2%
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (neg.f64 (*.f64 z (sin.f64 y))))
52.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
17.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (fma.f64 x (-.f64 x (*.f64 y (neg.f64 z))) (*.f64 y (*.f64 z (*.f64 y z))))))
13.6%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (/.f64 (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))) (*.f64 (-.f64 (*.f64 y z) x) (fma.f64 y z x))))))
12.5%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 #s(approx (+ (* y z) x) (*.f64 z y)) (-.f64 x (*.f64 y z))))))
10.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #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)))))))
18.5%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 x x)))))
17.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y (neg.f64 z))) (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))))))
26.8%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
28.4%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))))
51.4%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))))
35.5%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (fma.f64 z (/.f64 y x) #s(literal 1 binary64)) x))))
35.5%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x))))
9.5%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 x (/.f64 x (*.f64 z (*.f64 z (*.f64 y (*.f64 y y))))) (/.f64 x (*.f64 z (*.f64 y y))))) z))))
14.6%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(approx (+ 1 (/ (+ (* y (* y (/ (* z z) x))) (* z y)) x)) (*.f64 (*.f64 z z) (fma.f64 y (/.f64 y (*.f64 x x)) (/.f64 (+.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) z)))) x))))
15.4%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(approx (+ 1 (/ (+ (* y (* y (/ (* z z) x))) (* z y)) x)) (*.f64 y (*.f64 y (fma.f64 z (/.f64 z (*.f64 x x)) (/.f64 (+.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) y)) y))))) x))))
18.9%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(literal -1 binary64) (*.f64 z y)))))
11.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z)))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z))))))
28.4%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))))
28.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))
17.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y (neg.f64 z))) (*.f64 y (*.f64 z (*.f64 y z)))))))
51.4%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
50.3%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z))))) (*.f64 (fma.f64 z (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x))))
40.7%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z))))) (*.f64 y (-.f64 (/.f64 x y) z))))
9.7%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (/.f64 (neg.f64 (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))))
18.9%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))
26.9%
#s(approx (+ (* (cos y) x) (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin 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))) (neg.f64 (sin.f64 y))))
26.5%
#s(approx (+ (* (cos y) x) (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z)))) (neg.f64 (*.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)))))
57.5%
#s(approx (* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* x (cos y)) (* z (sin 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))))
Compiler

Compiled 3 423 to 1 060 computations (69% saved)

regimes161.0ms (1.1%)

Memory
2.6MiB live, 197.0MiB allocated
Counts
110 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) #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 (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y 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 (/ 1 (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z))))) (*.f64 y (-.f64 (/.f64 x y) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) x))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z) x))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z))))) (neg.f64 (*.f64 x (fma.f64 z (/.f64 y x) #s(literal -1 binary64))))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z))))) (*.f64 (fma.f64 z (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x))))
(fma.f64 #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (/.f64 (neg.f64 (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(literal -1 binary64) (*.f64 z y)))))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))))
#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 (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z (neg.f64 x))) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (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))
#s(approx (/ 1 (/ 1 (- (* 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))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 x x)))))
(fma.f64 #s(approx (cos y) #s(approx (+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (fma.f64 z (/.f64 y x) #s(literal 1 binary64)) x))))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (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))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (fma.f64 z (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 #s(approx (+ (* y z) x) (*.f64 z y)) (-.f64 x (*.f64 y z))))))
#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))))))
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (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))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))))
(fma.f64 #s(approx (cos y) (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))) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (*.f64 y (*.f64 z (*.f64 y z))))) (*.f64 (fma.f64 y z x) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (fma.f64 x (-.f64 x (*.f64 y (neg.f64 z))) (*.f64 y (*.f64 z (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #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)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.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 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y (neg.f64 z))) (*.f64 y (*.f64 z (*.f64 y z)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (fma.f64 x x (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 y (neg.f64 z)))))))
#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))) (fma.f64 x x (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 y (neg.f64 z)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y (neg.f64 z))) (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(approx (+ 1 (/ (+ (* y (* y (/ (* z z) x))) (* z y)) x)) (*.f64 y (*.f64 y (fma.f64 z (/.f64 z (*.f64 x x)) (/.f64 (+.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) y)) y))))) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(approx (+ 1 (/ (+ (* y (* y (/ (* z z) x))) (* z y)) x)) (*.f64 (*.f64 z z) (fma.f64 y (/.f64 y (*.f64 x x)) (/.f64 (+.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) z)))) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 x (/.f64 x (*.f64 z (*.f64 z (*.f64 y (*.f64 y y))))) (/.f64 x (*.f64 z (*.f64 y y))))) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z)))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (neg.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 z (*.f64 y y)))) (/.f64 x (*.f64 y y)))) z)) (neg.f64 z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (/.f64 (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))) (*.f64 (-.f64 (*.f64 y z) x) (fma.f64 y z x))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y z) x))) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (/ 1 (/ 1 (- (* 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 z (neg.f64 (sin.f64 y))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (neg.f64 (*.f64 z (sin.f64 y))))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y)))
(fma.f64 (cos.f64 y) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
(fma.f64 (cos.f64 y) x #s(approx (neg (* z (sin y))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
(fma.f64 (cos.f64 y) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 y (fma.f64 z (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))))
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) 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))))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x (fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))))
#s(approx (* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* x (cos y)) (* z (sin 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 (* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (/.f64 z (sin.f64 y)))))
#s(approx (+ (* (cos y) x) (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z)))) (neg.f64 (*.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)))))
#s(approx (+ (* (cos y) x) (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin 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))) (neg.f64 (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(/.f64 (fma.f64 x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)))) (fma.f64 x #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z)))
(*.f64 (fma.f64 x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z))))
#s(approx (+ (* (cos y) x) (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (*.f64 (sin.f64 y) x)) (neg.f64 (cos.f64 y))) (neg.f64 x)))
#s(approx (+ (* (cos y) x) (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z)))) (*.f64 z (fma.f64 x (/.f64 (cos.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 (cos.f64 y) x (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z))) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))))
(*.f64 #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)))) (/.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 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (exp.f64 (log.f64 (*.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 (fma.f64 z (/.f64 (sin.f64 y) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (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)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.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 (neg.f64 (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y))) (-.f64 (*.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 (fma.f64 (*.f64 (*.f64 x (cos.f64 y)) x) (cos.f64 y) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(*.f64 (fma.f64 (/.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 y))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (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)))))
(*.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))
#s(approx (* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 (neg.f64 x) (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)))))
(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
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
Calls

4 calls:

60.0ms
x
32.0ms
z
32.0ms
y
31.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
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)

regimes96.0ms (0.7%)

Memory
22.1MiB live, 133.9MiB allocated
Counts
79 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) #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 (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y 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 (/ 1 (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z))))) (*.f64 y (-.f64 (/.f64 x y) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) x))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z) x))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z))))) (neg.f64 (*.f64 x (fma.f64 z (/.f64 y x) #s(literal -1 binary64))))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z))))) (*.f64 (fma.f64 z (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x))))
(fma.f64 #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (/.f64 (neg.f64 (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(literal -1 binary64) (*.f64 z y)))))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))))
#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 (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z (neg.f64 x))) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (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))
#s(approx (/ 1 (/ 1 (- (* 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))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 x x)))))
(fma.f64 #s(approx (cos y) #s(approx (+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (fma.f64 z (/.f64 y x) #s(literal 1 binary64)) x))))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (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))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (fma.f64 z (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 #s(approx (+ (* y z) x) (*.f64 z y)) (-.f64 x (*.f64 y z))))))
#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))))))
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (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))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))))
(fma.f64 #s(approx (cos y) (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))) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (*.f64 y (*.f64 z (*.f64 y z))))) (*.f64 (fma.f64 y z x) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (fma.f64 x (-.f64 x (*.f64 y (neg.f64 z))) (*.f64 y (*.f64 z (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #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)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.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 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y (neg.f64 z))) (*.f64 y (*.f64 z (*.f64 y z)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (fma.f64 x x (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 y (neg.f64 z)))))))
#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))) (fma.f64 x x (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 y (neg.f64 z)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y (neg.f64 z))) (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(approx (+ 1 (/ (+ (* y (* y (/ (* z z) x))) (* z y)) x)) (*.f64 y (*.f64 y (fma.f64 z (/.f64 z (*.f64 x x)) (/.f64 (+.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) y)) y))))) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(approx (+ 1 (/ (+ (* y (* y (/ (* z z) x))) (* z y)) x)) (*.f64 (*.f64 z z) (fma.f64 y (/.f64 y (*.f64 x x)) (/.f64 (+.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) z)))) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 x (/.f64 x (*.f64 z (*.f64 z (*.f64 y (*.f64 y y))))) (/.f64 x (*.f64 z (*.f64 y y))))) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z)))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (neg.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 z (*.f64 y y)))) (/.f64 x (*.f64 y y)))) z)) (neg.f64 z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (/.f64 (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))) (*.f64 (-.f64 (*.f64 y z) x) (fma.f64 y z x))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y z) x))) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (/ 1 (/ 1 (- (* 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 z (neg.f64 (sin.f64 y))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (neg.f64 (*.f64 z (sin.f64 y))))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y)))
(fma.f64 (cos.f64 y) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
(fma.f64 (cos.f64 y) x #s(approx (neg (* z (sin y))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
(fma.f64 (cos.f64 y) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 y (fma.f64 z (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))))
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) 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))))
Outputs
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
Calls

4 calls:

24.0ms
z
23.0ms
y
23.0ms
x
20.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
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)

regimes145.0ms (1%)

Memory
-7.7MiB live, 110.9MiB allocated
Counts
78 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) #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 (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y 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 (/ 1 (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z))))) (*.f64 y (-.f64 (/.f64 x y) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) x))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z) x))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z))))) (neg.f64 (*.f64 x (fma.f64 z (/.f64 y x) #s(literal -1 binary64))))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z))))) (*.f64 (fma.f64 z (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x))))
(fma.f64 #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (/.f64 (neg.f64 (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(literal -1 binary64) (*.f64 z y)))))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))))
#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 (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z (neg.f64 x))) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (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))
#s(approx (/ 1 (/ 1 (- (* 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))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 x x)))))
(fma.f64 #s(approx (cos y) #s(approx (+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (fma.f64 z (/.f64 y x) #s(literal 1 binary64)) x))))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (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))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (fma.f64 z (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 #s(approx (+ (* y z) x) (*.f64 z y)) (-.f64 x (*.f64 y z))))))
#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))))))
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (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))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))))
(fma.f64 #s(approx (cos y) (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))) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (*.f64 y (*.f64 z (*.f64 y z))))) (*.f64 (fma.f64 y z x) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (fma.f64 x (-.f64 x (*.f64 y (neg.f64 z))) (*.f64 y (*.f64 z (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #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)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.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 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y (neg.f64 z))) (*.f64 y (*.f64 z (*.f64 y z)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (fma.f64 x x (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 y (neg.f64 z)))))))
#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))) (fma.f64 x x (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 y (neg.f64 z)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y (neg.f64 z))) (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(approx (+ 1 (/ (+ (* y (* y (/ (* z z) x))) (* z y)) x)) (*.f64 y (*.f64 y (fma.f64 z (/.f64 z (*.f64 x x)) (/.f64 (+.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) y)) y))))) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(approx (+ 1 (/ (+ (* y (* y (/ (* z z) x))) (* z y)) x)) (*.f64 (*.f64 z z) (fma.f64 y (/.f64 y (*.f64 x x)) (/.f64 (+.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) z)))) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 x (/.f64 x (*.f64 z (*.f64 z (*.f64 y (*.f64 y y))))) (/.f64 x (*.f64 z (*.f64 y y))))) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z)))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (neg.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 z (*.f64 y y)))) (/.f64 x (*.f64 y y)))) z)) (neg.f64 z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (/.f64 (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))) (*.f64 (-.f64 (*.f64 y z) x) (fma.f64 y z x))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y z) x))) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (/ 1 (/ 1 (- (* 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 z (neg.f64 (sin.f64 y))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (neg.f64 (*.f64 z (sin.f64 y))))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y)))
(fma.f64 (cos.f64 y) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
(fma.f64 (cos.f64 y) x #s(approx (neg (* z (sin y))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
(fma.f64 (cos.f64 y) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 y (fma.f64 z (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))))
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) z))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Outputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Calls

4 calls:

63.0ms
x
34.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
23.0ms
z
20.0ms
y
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)

regimes96.0ms (0.7%)

Memory
15.2MiB live, 138.3MiB allocated
Counts
77 → 3
Calls
Call 1
Inputs
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) #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 (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y 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 (/ 1 (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z))))) (*.f64 y (-.f64 (/.f64 x y) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) x))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z) x))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z))))) (neg.f64 (*.f64 x (fma.f64 z (/.f64 y x) #s(literal -1 binary64))))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z))))) (*.f64 (fma.f64 z (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x))))
(fma.f64 #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (/.f64 (neg.f64 (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(literal -1 binary64) (*.f64 z y)))))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))))
#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 (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z (neg.f64 x))) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (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))
#s(approx (/ 1 (/ 1 (- (* 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))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 x x)))))
(fma.f64 #s(approx (cos y) #s(approx (+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (fma.f64 z (/.f64 y x) #s(literal 1 binary64)) x))))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (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))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (fma.f64 z (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 #s(approx (+ (* y z) x) (*.f64 z y)) (-.f64 x (*.f64 y z))))))
#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))))))
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (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))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))))
(fma.f64 #s(approx (cos y) (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))) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (*.f64 y (*.f64 z (*.f64 y z))))) (*.f64 (fma.f64 y z x) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (fma.f64 x (-.f64 x (*.f64 y (neg.f64 z))) (*.f64 y (*.f64 z (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #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)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.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 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y (neg.f64 z))) (*.f64 y (*.f64 z (*.f64 y z)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (fma.f64 x x (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 y (neg.f64 z)))))))
#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))) (fma.f64 x x (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 y (neg.f64 z)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y (neg.f64 z))) (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(approx (+ 1 (/ (+ (* y (* y (/ (* z z) x))) (* z y)) x)) (*.f64 y (*.f64 y (fma.f64 z (/.f64 z (*.f64 x x)) (/.f64 (+.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) y)) y))))) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(approx (+ 1 (/ (+ (* y (* y (/ (* z z) x))) (* z y)) x)) (*.f64 (*.f64 z z) (fma.f64 y (/.f64 y (*.f64 x x)) (/.f64 (+.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) z)))) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 x (/.f64 x (*.f64 z (*.f64 z (*.f64 y (*.f64 y y))))) (/.f64 x (*.f64 z (*.f64 y y))))) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z)))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (neg.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 z (*.f64 y y)))) (/.f64 x (*.f64 y y)))) z)) (neg.f64 z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (/.f64 (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))) (*.f64 (-.f64 (*.f64 y z) x) (fma.f64 y z x))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y z) x))) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (/ 1 (/ 1 (- (* 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 z (neg.f64 (sin.f64 y))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (neg.f64 (*.f64 z (sin.f64 y))))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y)))
(fma.f64 (cos.f64 y) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
(fma.f64 (cos.f64 y) x #s(approx (neg (* z (sin y))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
(fma.f64 (cos.f64 y) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 y (fma.f64 z (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))))
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) z))))
Outputs
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
Calls

4 calls:

26.0ms
y
23.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
22.0ms
x
20.0ms
z
Results
AccuracySegmentsBranch
83.9%3x
83.4%3y
87.4%3z
78.3%2(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes84.0ms (0.6%)

Memory
-21.8MiB live, 99.6MiB allocated
Counts
64 → 4
Calls
Call 1
Inputs
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) #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 (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y 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 (/ 1 (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z))))) (*.f64 y (-.f64 (/.f64 x y) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) x))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z) x))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z))))) (neg.f64 (*.f64 x (fma.f64 z (/.f64 y x) #s(literal -1 binary64))))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z))))) (*.f64 (fma.f64 z (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x))))
(fma.f64 #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (/.f64 (neg.f64 (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(literal -1 binary64) (*.f64 z y)))))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))))
#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 (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z (neg.f64 x))) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (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))
#s(approx (/ 1 (/ 1 (- (* 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))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 x x)))))
(fma.f64 #s(approx (cos y) #s(approx (+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (fma.f64 z (/.f64 y x) #s(literal 1 binary64)) x))))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (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))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (fma.f64 z (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 #s(approx (+ (* y z) x) (*.f64 z y)) (-.f64 x (*.f64 y z))))))
#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))))))
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (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))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))))
(fma.f64 #s(approx (cos y) (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))) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (*.f64 y (*.f64 z (*.f64 y z))))) (*.f64 (fma.f64 y z x) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (fma.f64 x (-.f64 x (*.f64 y (neg.f64 z))) (*.f64 y (*.f64 z (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #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)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.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 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y (neg.f64 z))) (*.f64 y (*.f64 z (*.f64 y z)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (fma.f64 x x (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 y (neg.f64 z)))))))
#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))) (fma.f64 x x (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 y (neg.f64 z)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y (neg.f64 z))) (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(approx (+ 1 (/ (+ (* y (* y (/ (* z z) x))) (* z y)) x)) (*.f64 y (*.f64 y (fma.f64 z (/.f64 z (*.f64 x x)) (/.f64 (+.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) y)) y))))) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(approx (+ 1 (/ (+ (* y (* y (/ (* z z) x))) (* z y)) x)) (*.f64 (*.f64 z z) (fma.f64 y (/.f64 y (*.f64 x x)) (/.f64 (+.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) z)))) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 x (/.f64 x (*.f64 z (*.f64 z (*.f64 y (*.f64 y y))))) (/.f64 x (*.f64 z (*.f64 y y))))) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z)))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (neg.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 z (*.f64 y y)))) (/.f64 x (*.f64 y y)))) z)) (neg.f64 z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (/.f64 (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))) (*.f64 (-.f64 (*.f64 y z) x) (fma.f64 y z x))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y z) x))) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (/ 1 (/ 1 (- (* 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 z (neg.f64 (sin.f64 y))))
#s(approx (/ 1 (/ 1 (- (* 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)))
(fma.f64 #s(approx (cos y) (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))) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
#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))))
Calls

3 calls:

42.0ms
y
19.0ms
x
19.0ms
z
Results
AccuracySegmentsBranch
83.1%4y
74.1%3x
76.2%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes78.0ms (0.5%)

Memory
4.3MiB live, 119.9MiB allocated
Counts
61 → 3
Calls
Call 1
Inputs
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) #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 (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y 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 (/ 1 (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z))))) (*.f64 y (-.f64 (/.f64 x y) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) x))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z) x))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z))))) (neg.f64 (*.f64 x (fma.f64 z (/.f64 y x) #s(literal -1 binary64))))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z))))) (*.f64 (fma.f64 z (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x))))
(fma.f64 #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (/.f64 (neg.f64 (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(literal -1 binary64) (*.f64 z y)))))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))))
#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 (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z (neg.f64 x))) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (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))
#s(approx (/ 1 (/ 1 (- (* 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))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 x x)))))
(fma.f64 #s(approx (cos y) #s(approx (+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (fma.f64 z (/.f64 y x) #s(literal 1 binary64)) x))))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (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))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (fma.f64 z (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 #s(approx (+ (* y z) x) (*.f64 z y)) (-.f64 x (*.f64 y z))))))
#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))))))
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (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))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))))
(fma.f64 #s(approx (cos y) (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))) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (*.f64 y (*.f64 z (*.f64 y z))))) (*.f64 (fma.f64 y z x) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (fma.f64 x (-.f64 x (*.f64 y (neg.f64 z))) (*.f64 y (*.f64 z (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #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)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.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 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y (neg.f64 z))) (*.f64 y (*.f64 z (*.f64 y z)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (fma.f64 x x (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 y (neg.f64 z)))))))
#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))) (fma.f64 x x (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 y (neg.f64 z)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y (neg.f64 z))) (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(approx (+ 1 (/ (+ (* y (* y (/ (* z z) x))) (* z y)) x)) (*.f64 y (*.f64 y (fma.f64 z (/.f64 z (*.f64 x x)) (/.f64 (+.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) y)) y))))) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(approx (+ 1 (/ (+ (* y (* y (/ (* z z) x))) (* z y)) x)) (*.f64 (*.f64 z z) (fma.f64 y (/.f64 y (*.f64 x x)) (/.f64 (+.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) z)))) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 x (/.f64 x (*.f64 z (*.f64 z (*.f64 y (*.f64 y y))))) (/.f64 x (*.f64 z (*.f64 y y))))) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z)))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (neg.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 z (*.f64 y y)))) (/.f64 x (*.f64 y y)))) z)) (neg.f64 z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (/.f64 (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))) (*.f64 (-.f64 (*.f64 y z) x) (fma.f64 y z x))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y z) x))) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (/ 1 (/ 1 (- (* 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)))
(fma.f64 #s(approx (cos y) (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))) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
Calls

3 calls:

40.0ms
y
17.0ms
z
17.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Results
AccuracySegmentsBranch
68.9%3z
61.8%3(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
74.5%3y
Compiler

Compiled 20 to 14 computations (30% saved)

regimes71.0ms (0.5%)

Memory
17.9MiB live, 133.8MiB allocated
Counts
59 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) #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 (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y 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 (/ 1 (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z))))) (*.f64 y (-.f64 (/.f64 x y) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) x))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z) x))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z))))) (neg.f64 (*.f64 x (fma.f64 z (/.f64 y x) #s(literal -1 binary64))))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z))))) (*.f64 (fma.f64 z (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x))))
(fma.f64 #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (/.f64 (neg.f64 (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(literal -1 binary64) (*.f64 z y)))))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))))
#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 (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z (neg.f64 x))) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (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))
#s(approx (/ 1 (/ 1 (- (* 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))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 x x)))))
(fma.f64 #s(approx (cos y) #s(approx (+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (fma.f64 z (/.f64 y x) #s(literal 1 binary64)) x))))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (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))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (fma.f64 z (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 #s(approx (+ (* y z) x) (*.f64 z y)) (-.f64 x (*.f64 y z))))))
#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))))))
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (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))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))))
(fma.f64 #s(approx (cos y) (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))) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (*.f64 y (*.f64 z (*.f64 y z))))) (*.f64 (fma.f64 y z x) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (fma.f64 x (-.f64 x (*.f64 y (neg.f64 z))) (*.f64 y (*.f64 z (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #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)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.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 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y (neg.f64 z))) (*.f64 y (*.f64 z (*.f64 y z)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (fma.f64 x x (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 y (neg.f64 z)))))))
#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))) (fma.f64 x x (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 y (neg.f64 z)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y (neg.f64 z))) (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(approx (+ 1 (/ (+ (* y (* y (/ (* z z) x))) (* z y)) x)) (*.f64 y (*.f64 y (fma.f64 z (/.f64 z (*.f64 x x)) (/.f64 (+.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) y)) y))))) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(approx (+ 1 (/ (+ (* y (* y (/ (* z z) x))) (* z y)) x)) (*.f64 (*.f64 z z) (fma.f64 y (/.f64 y (*.f64 x x)) (/.f64 (+.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) z)))) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 x (/.f64 x (*.f64 z (*.f64 z (*.f64 y (*.f64 y y))))) (/.f64 x (*.f64 z (*.f64 y y))))) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z)))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (neg.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 z (*.f64 y y)))) (/.f64 x (*.f64 y y)))) z)) (neg.f64 z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (/.f64 (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))) (*.f64 (-.f64 (*.f64 y z) x) (fma.f64 y z x))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y z) x))) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
Calls

4 calls:

18.0ms
y
18.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
17.0ms
x
15.0ms
z
Results
AccuracySegmentsBranch
52.1%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
52.1%1z
52.1%1x
52.1%1y
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes9.0ms (0.1%)

Memory
-18.6MiB live, 20.4MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) #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 (*.f64 z y)))
Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
Calls

4 calls:

3.0ms
x
2.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
52.1%1z
52.1%1x
52.1%1y
52.1%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes7.0ms (0%)

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

4 calls:

2.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
1.0ms
x
1.0ms
y
1.0ms
z
Results
AccuracySegmentsBranch
39.4%2z
40.5%3x
36.4%1y
36.4%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes3.0ms (0%)

Memory
7.6MiB live, 7.6MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
x
1.0ms
z
Results
AccuracySegmentsBranch
36.4%1x
36.4%1z
Compiler

Compiled 8 to 6 computations (25% saved)

bsearch41.0ms (0.3%)

Memory
-14.1MiB live, 65.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
3.0817352078004424e-181
2.7653577441248454e-178
20.0ms
-1.8093760019344273e-55
-4.2828704993332055e-62
Samples
26.0ms272×0valid
Compiler

Compiled 389 to 269 computations (30.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-cos: 9.0ms (45.9% of total)
ival-sin: 5.0ms (25.5% of total)
ival-mult: 4.0ms (20.4% of total)
ival-sub: 1.0ms (5.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch77.0ms (0.5%)

Memory
-30.8MiB live, 108.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
28.0ms
1.3722503830422422e+42
4.3558297167000825e+45
20.0ms
2834.176686299195
2066365.7900729456
25.0ms
-2.2536797018040915e+28
-168083714694478500.0
Samples
56.0ms416×0valid
Compiler

Compiled 941 to 550 computations (41.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-cos: 23.0ms (51.8% of total)
ival-sin: 13.0ms (29.3% of total)
ival-mult: 6.0ms (13.5% of total)
ival-sub: 2.0ms (4.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
3.5MiB live, 3.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2834.176686299195
2066365.7900729456
1.0ms
-2.2536797018040915e+28
-168083714694478500.0
Compiler

Compiled 789 to 446 computations (43.5% saved)

bsearch18.0ms (0.1%)

Memory
21.8MiB live, 21.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
1.511262292689267e+111
3.2098293674426267e+119
Samples
11.0ms144×0valid
Compiler

Compiled 186 to 122 computations (34.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-cos: 3.0ms (38% of total)
ival-mult: 2.0ms (25.3% of total)
ival-sin: 2.0ms (25.3% of total)
ival-sub: 1.0ms (12.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify13.0ms (0.1%)

Memory
-15.0MiB live, 22.8MiB allocated
Algorithm
egg-herbie
Rules
26×*-commutative_binary64
16×+-commutative_binary64
16×sub-neg_binary64
14×cancel-sign-sub-inv_binary64
10×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087374
1113374
2133374
3141374
4145374
5146374
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 z #s(literal -5201597758707563/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 4927435867031971/18249762470488780874564686422801165299572914028994239722316770071597100668834709546023651245269485599114569238294377629242754818885501751993010645278888856753007978697441059800331496768986415104 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 y #s(literal -170000000000000000 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 2900 binary64)) (fma.f64 #s(approx (cos y) (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))) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) (if (<=.f64 y #s(literal 1949999999999999847676257110705609470115840 binary64)) #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)))))))
(if (<=.f64 y #s(literal -170000000000000000 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 2900 binary64)) (fma.f64 #s(approx (cos y) (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))) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) #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 z #s(literal 6500000000000000101136204841534479657743309079986899316903508772800419577570912071222405034447808409895340825640960 binary64)) #s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) #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 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) #s(literal 1 binary64))))
Outputs
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 (sin.f64 y) z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))
(if (<=.f64 z #s(literal -5201597758707563/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 4927435867031971/18249762470488780874564686422801165299572914028994239722316770071597100668834709546023651245269485599114569238294377629242754818885501751993010645278888856753007978697441059800331496768986415104 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -5201597758707563/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (sin.f64 y) z)) (if (<=.f64 z #s(literal 4927435867031971/18249762470488780874564686422801165299572914028994239722316770071597100668834709546023651245269485599114569238294377629242754818885501751993010645278888856753007978697441059800331496768986415104 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (sin.f64 y) z))))
(if (<=.f64 y #s(literal -170000000000000000 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 2900 binary64)) (fma.f64 #s(approx (cos y) (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))) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) (if (<=.f64 y #s(literal 1949999999999999847676257110705609470115840 binary64)) #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)))))))
(if (<=.f64 y #s(literal -170000000000000000 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 2900 binary64)) (fma.f64 #s(approx (cos y) (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))) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) (if (<=.f64 y #s(literal 1949999999999999847676257110705609470115840 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) #s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 (sin.f64 y) z))))))
(if (<=.f64 y #s(literal -170000000000000000 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 2900 binary64)) (fma.f64 #s(approx (cos y) (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))) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) #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 z #s(literal 6500000000000000101136204841534479657743309079986899316903508772800419577570912071222405034447808409895340825640960 binary64)) #s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) #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 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) #s(literal 1 binary64))))

soundness3.1s (21.9%)

Memory
28.3MiB live, 1 018.6MiB allocated
Rules
12 044×lower-fma.f64
12 044×lower-fma.f32
10 986×lower-fma.f64
10 986×lower-fma.f32
9 230×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07027002
123446677
279066665
083026406
05286918
116876749
250196722
082796466
097624
1292619
2837613
32075607
43601607
56258607
08452586
0819
01319
13319
221019
3196419
0837919
037158
066131
1244111
21799111
08953111
04665353
115675202
256205128
087874866
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 573 to 266 computations (53.6% saved)

preprocess160.0ms (1.1%)

Memory
-23.1MiB live, 134.3MiB allocated
Compiler

Compiled 422 to 120 computations (71.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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