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

Time bar (total: 10.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
1×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)

sample1.4s (14%)

Memory
28.9MiB live, 1 685.2MiB allocated
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 656.0ms
ival-sin: 243.0ms (37% of total)
ival-cos: 216.0ms (32.9% of total)
ival-mult: 151.0ms (23% of total)
ival-sub: 37.0ms (5.6% of total)
ival-true: 6.0ms (0.9% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain372.0ms (3.6%)

Memory
-151.6MiB live, 271.5MiB 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
52.0ms512×0valid
Compiler

Compiled 64 to 28 computations (56.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-cos: 12.0ms (36.3% of total)
ival-sin: 11.0ms (33.3% of total)
ival-mult: 7.0ms (21.2% of total)
ival-sub: 2.0ms (6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess59.0ms (0.6%)

Memory
-17.9MiB live, 101.4MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×iter limit
1×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)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.8MiB live, 1.8MiB 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)

simplify19.0ms (0.2%)

Memory
2.4MiB live, 44.9MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×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)

localize35.0ms (0.3%)

Memory
13.0MiB live, 87.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(cos.f64 y)
accuracy0.00390625
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
accuracy0.10546875
(*.f64 z (sin.f64 y))
accuracy0.12890625
(*.f64 x (cos.f64 y))
Samples
25.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-cos: 6.0ms (38.6% of total)
ival-sin: 5.0ms (32.2% of total)
ival-mult: 3.0ms (19.3% of total)
ival-sub: 1.0ms (6.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
-14.5MiB live, 22.2MiB 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
2.0ms
x
@-inf
(* x (cos y))
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)))

simplify269.0ms (2.6%)

Memory
56.1MiB live, 465.5MiB allocated
Algorithm
1×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
1×iter limit
1×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)))
(-.f64 x (*.f64 y (fma.f64 y (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 x #s(literal 1/2 binary64))) z)))
(- (* 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))

rewrite449.0ms (4.4%)

Memory
-35.2MiB live, 616.7MiB allocated
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
1×iter limit
1×node limit
1×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))))

eval43.0ms (0.4%)

Memory
7.8MiB live, 89.5MiB allocated
Compiler

Compiled 15 516 to 726 computations (95.3% saved)

prune62.0ms (0.6%)

Memory
21.8MiB live, 60.6MiB allocated
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New31114325
Fresh000
Picked101
Done000
Total31214326
Accuracy
99.9%
Counts
326 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.4%
(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)))
65.2%
(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)))))))
▶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))))
65.3%
(fma.f64 x (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
▶40.6%
(/.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))))
19.1%
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (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))))))))
99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
78.3%
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
53.0%
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y)))
▶53.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
53.0%
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 y (fma.f64 y (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 x #s(literal 1/2 binary64))) z))))
▶60.6%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
41.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
Compiler

Compiled 638 to 346 computations (45.8% saved)

simplify357.0ms (3.5%)

Memory
-23.6MiB live, 332.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.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))))
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-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 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)))
cost-diff0
(cos.f64 y)
cost-diff0
(*.f64 x (cos.f64 y))
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
cost-diff0
(*.f64 z y)
cost-diff0
(-.f64 x (*.f64 z y))
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
cost-diff0
(*.f64 z (sin.f64 y))
cost-diff0
(neg.f64 (*.f64 z (sin.f64 y)))
cost-diff0
(cos.f64 y)
cost-diff0
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
Rules
15 426×lower-fma.f32
15 418×lower-fma.f64
4 146×lower-*.f32
4 132×lower-*.f64
2 168×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033225
058225
1108225
2207225
3460225
41188221
52697219
64495219
76846219
08321212
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
(cos.f64 y)
y
x
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
(-.f64 x (*.f64 z y))
x
(*.f64 z y)
z
y
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(fma.f64 (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)
(/.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))))
(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))))
(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 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))
(cos.f64 y)
y
x
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (neg.f64 z) x))
(-.f64 x (*.f64 z y))
(fma.f64 y (neg.f64 z) x)
x
(*.f64 z y)
(*.f64 y z)
z
y
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
x
(cos.f64 y)
y
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))
(sin.f64 y)
y
(neg.f64 z)
z
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
x
(cos.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)))))) (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 x x (*.f64 z z)) (*.f64 (-.f64 x z) (+.f64 x z)))) (fma.f64 (cos.f64 y) x (*.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) (fma.f64 (cos.f64 (+.f64 y y)) (fma.f64 x x (*.f64 z z)) (*.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 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (cos.f64 (+.f64 y y)) x)))
(*.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))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(cos.f64 y)
(*.f64 z (sin.f64 y))
(sin.f64 y)

localize206.0ms (2%)

Memory
7.1MiB live, 283.5MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.344487382635048
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
accuracy10.216486484056908
(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))))))
accuracy14.493464540093663
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
accuracy29.478106621290205
(/.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))))
accuracy0
(neg.f64 z)
accuracy0
(cos.f64 y)
accuracy0.0625
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
accuracy0.12890625
(*.f64 x (cos.f64 y))
accuracy0
(cos.f64 y)
accuracy0.12890625
(*.f64 x (cos.f64 y))
accuracy25.174902785099327
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
accuracy0
(-.f64 x (*.f64 z y))
accuracy0
(*.f64 z y)
accuracy29.62472997207431
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
accuracy0
(neg.f64 (*.f64 z (sin.f64 y)))
accuracy0
(cos.f64 y)
accuracy0.0546875
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
accuracy0.10546875
(*.f64 z (sin.f64 y))
Samples
54.0ms83×1valid
48.0ms45×2valid
43.0ms128×0valid
Compiler

Compiled 222 to 32 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 114.0ms
ival-cos: 35.0ms (30.8% of total)
ival-mult: 20.0ms (17.6% of total)
ival-sin: 19.0ms (16.7% of total)
adjust: 14.0ms (12.3% of total)
ival-sub: 9.0ms (7.9% of total)
ival-add: 9.0ms (7.9% of total)
ival-div: 3.0ms (2.6% of total)
ival-neg: 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)

series62.0ms (0.6%)

Memory
25.5MiB live, 62.2MiB allocated
Counts
16 → 408
Calls
Call 1
Inputs
#<alt (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))>
#<alt (cos.f64 y)>
#<alt (neg.f64 (*.f64 z (sin.f64 y)))>
#<alt (*.f64 z (sin.f64 y))>
#<alt #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))>
#<alt (-.f64 x (*.f64 z y))>
#<alt (*.f64 z y)>
#<alt #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))>
#<alt (sin.f64 y)>
#<alt (neg.f64 z)>
#<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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))>
#<alt (/.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))))>
Outputs
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (- (* -1/2 (* x y)) z)))>
#<alt (+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* x (cos y))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* y z))>
#<alt (* y (- (* 1/6 (* (pow y 2) z)) z))>
#<alt (* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z))>
#<alt (* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (* (pow y 2) z)) (* 1/120 z))) (* -1/6 z))) z))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* y z)>
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))>
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#<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)))))>
Calls

102 calls:

TimeVariablePointExpression
36.0ms
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
y
@inf
(- x (* z y))
1.0ms
x
@0
(+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))))

simplify379.0ms (3.7%)

Memory
0.3MiB live, 544.2MiB allocated
Algorithm
1×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
04665165
115695014
256304940
087964690
Stop Event
1×iter limit
1×node limit
Counts
408 → 397
Calls
Call 1
Inputs
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* y z))
(* y (- (* 1/6 (* (pow y 2) z)) z))
(* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z))
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (* (pow y 2) z)) (* 1/120 z))) (* -1/6 z))) z))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* y z))
(- x (* y z))
(- x (* y z))
(- x (* y z))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (+ 1 (* -1 (/ (* y z) x))))
x
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (/ (* y z) x) 1)))
x
(+ x (* -1 (* y z)))
(+ 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))
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)
(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))))))
(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)))))
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)))))
Outputs
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 y z))
(+ x (* y (- (* -1/2 (* x y)) z)))
(fma.f64 y (-.f64 (*.f64 x (*.f64 y #s(literal -1/2 binary64))) z) x)
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z)) x)
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
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(*.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)))
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(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
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(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
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(* z (- (/ (* x (cos y)) z) (sin y)))
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(* -1 (* z (sin y)))
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(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(* -1 (* z (sin y)))
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(* -1 (* y z))
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(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 z)))
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (* (pow y 2) z)) (* 1/120 z))) (* -1/6 z))) z))
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(* y z)
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(* z (sin y))
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(*.f64 z (sin.f64 y))
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(- (* 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)))
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(* x (cos y))
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(*.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 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))))))))
(* 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 (cos.f64 y) (*.f64 x (*.f64 x x)))) (+.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 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))))))))
(/ (* 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 (*.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)))) (/.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 (fma.f64 z (*.f64 (sin.f64 y) (/.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)))))) (*.f64 x (cos.f64 y)))) (*.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))))))) x)) x)))

rewrite350.0ms (3.4%)

Memory
8.3MiB live, 619.3MiB allocated
Rules
6 568×lower-fma.f32
6 560×lower-fma.f64
4 762×lower-*.f32
4 748×lower-*.f64
4 214×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033149
058124
1219104
21616104
08305104
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
16 → 691
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
(cos.f64 y)
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
(-.f64 x (*.f64 z y))
(*.f64 z y)
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(sin.f64 y)
(neg.f64 z)
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(-.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))))
(/.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))))
Outputs
(+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) (neg.f64 z)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z))))) #s(literal -1 binary64)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.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 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.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 (cos.f64 y) x (*.f64 z (sin.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 (cos.f64 y) x (*.f64 z (sin.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 (cos.f64 y) x (*.f64 z (sin.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 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(-.f64 (fma.f64 (cos.f64 y) x #s(literal 0 binary64)) (*.f64 z (sin.f64 y)))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)) (-.f64 (neg.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (-.f64 (neg.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))) (neg.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 y) x) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 y) x) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)))))
(-.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)) (*.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (-.f64 (neg.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (*.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (-.f64 (neg.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))
(fma.f64 (*.f64 z (sin.f64 y)) #s(literal -1 binary64) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 (cos.f64 y) x))
(fma.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) z (*.f64 (cos.f64 y) x))
(neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))) (neg.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)))) (neg.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 y) x) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.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 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64))) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64))) (*.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (cos.f64 y) x) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.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 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))) #s(literal 1 binary64))))
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(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 (cos.f64 y) x) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.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 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 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 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))) (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (neg.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64))) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (cos.f64 y) x) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.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 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))) (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))) (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))

eval174.0ms (1.7%)

Memory
-32.8MiB live, 372.7MiB allocated
Compiler

Compiled 44 946 to 1 880 computations (95.8% saved)

prune125.0ms (1.2%)

Memory
5.5MiB live, 280.9MiB allocated
Pruning

28 alts after pruning (24 fresh and 4 done)

PrunedKeptTotal
New1 180221 202
Fresh729
Picked145
Done000
Total1 188281 216
Accuracy
100.0%
Counts
1 216 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.2%
(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)))))))
71.3%
(fma.f64 (sin.f64 y) (/.f64 (*.f64 z (neg.f64 z)) (+.f64 #s(literal 0 binary64) z)) (*.f64 x (cos.f64 y)))
✓99.8%
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
78.3%
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
✓99.8%
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
16.8%
(/.f64 #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (*.f64 (neg.f64 (*.f64 z z)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
▶99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))))
53.0%
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (-.f64 (*.f64 x (*.f64 y #s(literal -1/2 binary64))) z) x))
49.5%
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (-.f64 (/.f64 (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.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)))))
60.1%
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* 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)))))) (+ (* 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)))))
▶53.0%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z)) x))
▶20.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
29.4%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
29.3%
#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))))))
26.6%
#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))))
✓53.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
29.3%
#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))))
87.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))))
93.5%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))))
✓60.6%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
38.4%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #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)))))
38.4%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
38.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
▶40.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
41.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
49.0%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (-.f64 (/.f64 x z) y))))
17.6%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))
Compiler

Compiled 957 to 526 computations (45% saved)

simplify405.0ms (3.9%)

Memory
-14.7MiB live, 359.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 (*.f64 y #s(literal -2 binary64)))
cost-diff0
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* 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)))))
cost-diff128
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (/.f64 z (sin.f64 y))))
cost-diff0
(fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))
cost-diff0
(*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z)))
cost-diff0
#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 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
cost-diff3840
(/.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)))
cost-diff0
(fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64)))
cost-diff0
(fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z))
cost-diff0
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z)) x)
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z)) x))
cost-diff0
#s(approx (cos y) #s(literal 1 binary64))
cost-diff0
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
cost-diff0
(cos.f64 y)
cost-diff0
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z))))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))))
Rules
16 786×lower-fma.f32
16 772×lower-fma.f64
5 354×lower-*.f32
5 338×lower-*.f64
2 514×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056358
087378
1186377
2446311
31139305
43341303
56687303
08372298
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))
(cos.f64 y)
y
x
(*.f64 (sin.f64 y) (neg.f64 z))
(sin.f64 y)
(neg.f64 z)
z
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
x
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z)) x))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z)) x)
y
(fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z))
(fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64)))
x
#s(literal -1/2 binary64)
(*.f64 (*.f64 y z) #s(literal 1/6 binary64))
(*.f64 y z)
z
#s(literal 1/6 binary64)
(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 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
(/.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z)))
(fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))
(*.f64 y z)
y
z
(fma.f64 y z x)
x
(*.f64 x x)
(-.f64 x (*.f64 y z))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* 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)))))
(*.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))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
#s(literal 1/2 binary64)
(neg.f64 (/.f64 z (sin.f64 y)))
(/.f64 z (sin.f64 y))
z
(sin.f64 y)
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))
(cos.f64 y)
y
x
(*.f64 (sin.f64 y) (neg.f64 z))
(neg.f64 (*.f64 (sin.f64 y) z))
(sin.f64 y)
(neg.f64 z)
z
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
x
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64)))) z) x))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z)) x)
(fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64)))) z) x)
y
(fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z))
(-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64)))) z)
(fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64)))
(fma.f64 y (*.f64 z #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64)))
x
#s(literal -1/2 binary64)
(*.f64 (*.f64 y z) #s(literal 1/6 binary64))
(*.f64 y (*.f64 z #s(literal 1/6 binary64)))
(*.f64 y z)
z
#s(literal 1/6 binary64)
(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 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 y z)))
(/.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)))
(-.f64 x (*.f64 y z))
(*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z)))
(*.f64 (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x)) (-.f64 x (*.f64 y z)))
(fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))
(fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x))
(*.f64 y z)
y
z
(fma.f64 y z x)
x
(*.f64 x x)
(-.f64 x (*.f64 y z))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* 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 (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 (/.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (/.f64 z (sin.f64 y))))
(*.f64 (/.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
#s(literal 1/2 binary64)
(neg.f64 (/.f64 z (sin.f64 y)))
(/.f64 (neg.f64 z) (sin.f64 y))
(/.f64 z (sin.f64 y))
z
(sin.f64 y)

localize476.0ms (4.6%)

Memory
23.7MiB live, 181.0MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.12890625
(/.f64 z (sin.f64 y))
accuracy14.493464540093663
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
accuracy15.091163681411956
(*.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))))
accuracy37.52819062373036
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* 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)))))
accuracy0.078125
(*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z)))
accuracy0.10384750976844201
(fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))
accuracy29.62472997207431
#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 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
accuracy43.207253230065454
(/.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)))
accuracy0.03515625
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z)) x)
accuracy0.0390625
(fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z))
accuracy0.30078125
(*.f64 (*.f64 y z) #s(literal 1/6 binary64))
accuracy30.051278947119897
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z)) x))
accuracy0.12890625
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
accuracy25.174902785099327
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
accuracy27.949287544109684
#s(approx (cos y) #s(literal 1 binary64))
accuracy0.0546875
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))
accuracy0.10546875
(*.f64 (sin.f64 y) (neg.f64 z))
accuracy0.21875
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z))))
accuracy0.28515625
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))))
Samples
222.0ms84×2valid
100.0ms127×0valid
75.0ms14×3valid
22.0ms31×1valid
Compiler

Compiled 309 to 55 computations (82.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 329.0ms
adjust: 150.0ms (45.6% of total)
ival-mult: 79.0ms (24% of total)
ival-cos: 52.0ms (15.8% of total)
ival-add: 17.0ms (5.2% of total)
ival-div: 11.0ms (3.3% of total)
ival-sub: 5.0ms (1.5% of total)
ival-sin: 5.0ms (1.5% of total)
ival-neg: 4.0ms (1.2% of total)
const: 4.0ms (1.2% of total)
exact: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series87.0ms (0.8%)

Memory
-2.8MiB live, 34.8MiB allocated
Counts
22 → 636
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z))))>
#<alt (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))>
#<alt (cos.f64 y)>
#<alt #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))>
#<alt (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))>
#<alt #s(approx (cos y) #s(literal 1 binary64))>
#<alt #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z)) x))>
#<alt (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z)) x)>
#<alt (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z))>
#<alt (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64)))>
#<alt (/.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)))>
#<alt #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 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))>
#<alt (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z)))>
#<alt (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))>
#<alt (*.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))))>
#<alt #s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* 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)))))>
#<alt (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))>
#<alt (cos.f64 (*.f64 y #s(literal -2 binary64)))>
#<alt (*.f64 (sin.f64 y) (neg.f64 z))>
#<alt (*.f64 (*.f64 y z) #s(literal 1/6 binary64))>
#<alt (/.f64 z (sin.f64 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 (* -1 (* z (sin y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* x (cos y))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))>
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))>
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))>
#<alt (/ 1 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 (+ (* -1 (* z (sin y))) (* x (cos y))))>
#<alt (/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))>
#<alt (/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))>
#<alt (/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))>
#<alt (/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))>
#<alt (/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))>
#<alt (/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))>
#<alt (/ 1 (+ (* -1 (* z (sin y))) (* x (cos 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 (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)))>
#<alt (/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)>
#<alt (/ (- (* -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)>
#<alt (/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (+ (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z)>
#<alt (/ -1 (* z (sin y)))>
#<alt (* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* x (cos y))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
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#<alt (+ (* -1 (* (pow y 3) (pow z 3))) (* x (+ (* -1 (* (pow y 2) (pow z 2))) (+ (* x (+ (* -1 (* y z)) (* y z))) (* (pow y 2) (pow z 2))))))>
#<alt (+ (* -1 (* (pow y 3) (pow z 3))) (* x (+ (* -1 (* (pow y 2) (pow z 2))) (+ (* x (+ x (+ (* -1 (* y z)) (* y z)))) (* (pow y 2) (pow z 2))))))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (+ (* -1 (/ (* y z) x)) (/ (* y z) x))))>
#<alt (* (pow x 3) (+ 1 (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (+ (/ (* y z) x) (/ (* (pow y 2) (pow z 2)) (pow x 2)))))))>
#<alt (* (pow x 3) (+ 1 (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (+ (* -1 (/ (* (pow y 3) (pow z 3)) (pow x 3))) (+ (/ (* y z) x) (/ (* (pow y 2) (pow z 2)) (pow x 2))))))))>
#<alt (pow x 3)>
#<alt (* -1 (* (pow x 3) (- (+ (* -1 (/ (* y z) x)) (/ (* y z) x)) 1)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (+ (* -1 (* y z)) (* y z))) (+ (* -1 (/ (* (pow y 2) (pow z 2)) x)) (/ (* (pow y 2) (pow z 2)) x))) x)) 1)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (+ (* -1 (* y z)) (* y z))) (* -1 (/ (+ (* -1 (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2)))) (/ (* (pow y 3) (pow z 3)) x)) x))) x)) 1)))>
#<alt (pow x 2)>
#<alt (+ (* x (* y z)) (pow x 2))>
#<alt (+ (* y (+ (* x z) (* y (pow z 2)))) (pow x 2))>
#<alt (+ (* y (+ (* x z) (* y (pow z 2)))) (pow x 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (+ (/ (* x z) y) (pow z 2)))>
#<alt (* (pow y 2) (+ (/ (* x z) y) (+ (/ (pow x 2) (pow y 2)) (pow z 2))))>
#<alt (* (pow y 2) (+ (/ (* x z) y) (+ (/ (pow x 2) (pow y 2)) (pow z 2))))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (+ (/ (* x z) y) (pow z 2)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (* -1 (/ (pow x 2) y))) y)) (pow z 2)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (* -1 (/ (pow x 2) y))) y)) (pow z 2)))>
#<alt (pow x 2)>
#<alt (+ (* x (* y z)) (pow x 2))>
#<alt (+ (* z (+ (* x y) (* (pow y 2) z))) (pow x 2))>
#<alt (+ (* z (+ (* x y) (* (pow y 2) z))) (pow x 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow z 2) (+ (/ (* x y) z) (pow y 2)))>
#<alt (* (pow z 2) (+ (/ (* x y) z) (+ (/ (pow x 2) (pow z 2)) (pow y 2))))>
#<alt (* (pow z 2) (+ (/ (* x y) z) (+ (/ (pow x 2) (pow z 2)) (pow y 2))))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow z 2) (+ (/ (* x y) z) (pow y 2)))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (pow x 2) z))) z)) (pow y 2)))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (pow x 2) z))) z)) (pow y 2)))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (+ (* x (* y z)) (* (pow y 2) (pow z 2)))>
#<alt (+ (* x (+ x (* y z))) (* (pow y 2) (pow z 2)))>
#<alt (+ (* x (+ x (* y z))) (* (pow y 2) (pow z 2)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ (* y z) x)))>
#<alt (* (pow x 2) (+ 1 (+ (/ (* y z) x) (/ (* (pow y 2) (pow z 2)) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (/ (* y z) x) (/ (* (pow y 2) (pow z 2)) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ (* y z) x)))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (* y z)) (* -1 (/ (* (pow y 2) (pow z 2)) x))) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (* y z)) (* -1 (/ (* (pow y 2) (pow z 2)) x))) x))))>
#<alt (* -1 (* y z))>
#<alt (* y (+ (* -1 z) (* -1 (* (pow y 2) (- (* -1/3 z) (* -1/6 z))))))>
#<alt (* y (+ (* -1 z) (* (pow y 2) (+ (* -1 (* (pow y 2) (- (* 2/45 z) (+ (* -1/6 (- (* -1/3 z) (* -1/6 z))) (* 1/120 z))))) (* -1 (- (* -1/3 z) (* -1/6 z)))))))>
#<alt (* y (+ (* -1 z) (* (pow y 2) (+ (* -1 (- (* -1/3 z) (* -1/6 z))) (* (pow y 2) (+ (* -1 (* (pow y 2) (- (* -1/315 z) (+ (* -1/6 (- (* 2/45 z) (+ (* -1/6 (- (* -1/3 z) (* -1/6 z))) (* 1/120 z)))) (+ (* -1/5040 z) (* 1/120 (- (* -1/3 z) (* -1/6 z)))))))) (* -1 (- (* 2/45 z) (+ (* -1/6 (- (* -1/3 z) (* -1/6 z))) (* 1/120 z))))))))))>
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))>
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))>
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))>
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))>
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))>
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))>
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))>
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))>
#<alt (* -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 x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (- (* y (- (* -1 x) (* -1/2 x))) z)))>
#<alt (+ x (* y (- (* y (- (+ (* -1 x) (* -1 (* y (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 x) (* -1/2 x))) x)))))) (* -1/2 x))) z)))>
#<alt (/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (+ (* z (- (* z (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (+ (* z (- (* z (- (+ (* -1 (/ (* z (* (sin y) (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3))))))) (* x (cos y)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y))))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))))>
#<alt (* z (- (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y)))) (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3))))))>
#<alt (* z (- (+ (* -1 (/ (* x (* (cos y) (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))))) (* (pow z 3) (sin y)))) (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y))))) (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3))))))>
#<alt (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))>
#<alt (* -1 (* z (- (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))) z)) (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))>
#<alt (* -1 (* z (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (* (cos y) (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))))) (* z (sin y)))) (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))) z)) (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))>
#<alt (* -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 (* -2 y))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 y))))>
#<alt 1>
#<alt (+ 1 (* -2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (* -1 (* y z))>
#<alt (* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))>
#<alt (* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z)))))>
#<alt (* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z))))))))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y 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 y)>
#<alt (/ (+ z (* 1/6 (* (pow y 2) z))) y)>
#<alt (/ (+ z (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z)))) y)>
#<alt (/ (+ z (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/5040 z) (+ (* 1/720 z) (* 1/6 (+ (* -1/36 z) (* 1/120 z))))))) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z)))) 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

159 calls:

TimeVariablePointExpression
43.0ms
y
@-inf
(+ (* y (+ (* x -1/2) (* (* y z) 1/6))) (neg z))
6.0ms
y
@-inf
(* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z)))
2.0ms
z
@0
(* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y))))
1.0ms
y
@inf
(* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y))))
1.0ms
x
@inf
(/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))

simplify407.0ms (4%)

Memory
8.2MiB live, 356.1MiB allocated
Algorithm
1×egg-herbie
Rules
7 714×lower-fma.f64
7 714×lower-fma.f32
6 532×lower-*.f64
6 532×lower-*.f32
4 308×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010028846
134448527
081418094
Stop Event
1×iter limit
1×node limit
Counts
636 → 624
Calls
Call 1
Inputs
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
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(/ z (sin y))
(/ z (sin y))
(/ z (sin y))
Outputs
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 y z))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x)
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z)) x)
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(* -1 (* z (sin y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.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 (-.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y)) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (-.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y)) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (-.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y)) (neg.f64 x))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.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 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(*.f64 z (-.f64 (*.f64 x (/.f64 (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 (neg.f64 z) (-.f64 (sin.f64 y) (*.f64 x (/.f64 (cos.f64 y) z))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(*.f64 (neg.f64 z) (-.f64 (sin.f64 y) (*.f64 x (/.f64 (cos.f64 y) z))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(*.f64 (neg.f64 z) (-.f64 (sin.f64 y) (*.f64 x (/.f64 (cos.f64 y) z))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (/ 1 x) (/ (* y z) (pow x 2)))
(fma.f64 y (/.f64 z (*.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 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 z z) (*.f64 x (*.f64 x 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 (fma.f64 (neg.f64 z) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 z z) (*.f64 x (*.f64 x x)))) x) (*.f64 (/.f64 z (*.f64 x x)) #s(literal -1/3 binary64))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 z z) (*.f64 x (*.f64 x x))))) (/.f64 z (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y))))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y))))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y))))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y))))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y))))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y))))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y))))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.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 (neg.f64 (/.f64 (cos.f64 y) (*.f64 (*.f64 z 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 (*.f64 z z)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (cos.f64 y) (*.f64 (*.f64 z 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 (fma.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 (*.f64 z z)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (cos.f64 y) (*.f64 (*.f64 z 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 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (fma.f64 (*.f64 z z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 (*.f64 z (sin.f64 y)) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) 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 (*.f64 x 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 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (*.f64 x 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 (+.f64 (/.f64 (fma.f64 (*.f64 z z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 (*.f64 z (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 x)) (/.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))
(/.f64 (+.f64 (/.f64 (+.f64 (/.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 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (neg.f64 x)) (/.f64 (*.f64 z (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x))
(/ 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))))
(fma.f64 z (/.f64 (sin.f64 y) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(+ (* 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))))
(fma.f64 z (fma.f64 z (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 (sin.f64 y) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 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))))
(fma.f64 z (fma.f64 z (fma.f64 z (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (/.f64 (sin.f64 y) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(/ -1 (* z (sin y)))
(/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/.f64 (fma.f64 x (/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 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)
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (fma.f64 x (/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 y))))) z)
(/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (+ (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z)
(/.f64 (-.f64 (fma.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 z (*.f64 z z)) (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (fma.f64 x (/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))) z)
(/ -1 (* z (sin y)))
(/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))
(/.f64 (fma.f64 x (/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (neg.f64 (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (*.f64 x (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z)) (neg.f64 z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (*.f64 (*.f64 x x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (neg.f64 z)) (/.f64 (*.f64 x (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) z)) (neg.f64 z))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 y z))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x)
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z)) x)
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(* -1 (* z (sin y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.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 (-.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y)) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (-.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y)) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (-.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y)) (neg.f64 x))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
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(* -1 (* z (sin y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(* -1 (* z (sin y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(* -1 (* z (sin y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(* -1 (* z (sin y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(* -1 (* z (sin y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(* -1 (* z (sin y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(* -1 (* z (sin y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(* 1/6 (* y z))
(*.f64 (*.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(*.f64 (*.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(*.f64 (*.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(*.f64 (*.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(*.f64 (*.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(*.f64 (*.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(*.f64 (*.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(*.f64 (*.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(*.f64 (*.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(*.f64 (*.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(*.f64 (*.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(*.f64 (*.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(*.f64 (*.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(*.f64 (*.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(*.f64 (*.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(*.f64 (*.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(*.f64 (*.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(*.f64 (*.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(*.f64 (*.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(*.f64 (*.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(*.f64 (*.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(*.f64 (*.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(*.f64 (*.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(*.f64 (*.f64 y z) #s(literal 1/6 binary64))
(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z y)
(/.f64 z y)
(/ (+ z (* 1/6 (* (pow y 2) z))) y)
(/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z (*.f64 y y)) z) y)
(/ (+ z (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z)))) y)
(/.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z #s(literal 7/360 binary64)) (*.f64 z #s(literal 1/6 binary64))) z) y)
(/ (+ z (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/5040 z) (+ (* 1/720 z) (* 1/6 (+ (* -1/36 z) (* 1/120 z))))))) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z)))) y)
(/.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (fma.f64 z #s(literal 1/840 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 z #s(literal -7/360 binary64)))) (neg.f64 (*.f64 y y)) (*.f64 z #s(literal 7/360 binary64))) (*.f64 z #s(literal 1/6 binary64))) z) 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))

rewrite381.0ms (3.7%)

Memory
4.4MiB live, 479.1MiB allocated
Rules
4 350×lower-*.f32
4 334×lower-*.f64
3 856×lower-fma.f32
3 842×lower-fma.f64
3 740×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
056305
087301
1368218
22951218
08560218
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 691
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))
(cos.f64 y)
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
#s(approx (cos y) #s(literal 1 binary64))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z)) x))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z)) x)
(fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z))
(fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
(*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z)))
(fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))
(*.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 (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* 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)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 (*.f64 y z) #s(literal 1/6 binary64))
(/.f64 z (sin.f64 y))
Outputs
(+.f64 (neg.f64 (*.f64 (sin.f64 y) z)) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 (sin.f64 y) z)))
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (sin.f64 y) z))) (*.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (sin.f64 y) z))))
(+.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 y) z)) #s(literal 1 binary64)) (*.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (sin.f64 y) z)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) #s(literal 1 binary64)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) 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 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) (*.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 x (cos.f64 y) (*.f64 (sin.f64 y) z))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))))
(-.f64 (/.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(-.f64 (/.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 x (cos.f64 y) (*.f64 (sin.f64 y) z))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z) (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (*.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 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z) (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (*.f64 (sin.f64 y) z)) (*.f64 x (cos.f64 y)))))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) 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 (sin.f64 y) z) #s(literal 3 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64)) (*.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (*.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64)) (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))) (/.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))))
(-.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 x (cos.f64 y) (*.f64 (sin.f64 y) z)))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64)) (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (*.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)))) (/.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (*.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)))) (neg.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (-.f64 (neg.f64 (*.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 (neg.f64 (*.f64 (sin.f64 y) z)) (*.f64 x (cos.f64 y)))))
(fma.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (sin.f64 y) z)) (*.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (sin.f64 y) z))))
(fma.f64 x (cos.f64 y) (neg.f64 (*.f64 (sin.f64 y) z)))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 (neg.f64 (*.f64 (sin.f64 y) z)) #s(literal 1 binary64) (*.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64)))
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 (sin.f64 y) z)))
(fma.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (sin.f64 y) z)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 x (cos.f64 y)))
(fma.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) z (*.f64 x (cos.f64 y)))
(neg.f64 (neg.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) 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 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))))
(/.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) 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 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))))))
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(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (neg.f64 z))) (neg.f64 (sin.f64 y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (sin.f64 y) z))) (*.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64))) (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (/.f64 (sin.f64 y) z))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sin.f64 y)) z)) (*.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64))) (*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 (sin.f64 y)) z)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (sin.f64 y) (neg.f64 z))) (*.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64))) (*.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 y) (neg.f64 z))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 (sin.f64 y) z))) (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))) (*.f64 (neg.f64 (sin.f64 y)) (sin.f64 y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (sin.f64 y)))) (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))) (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (neg.f64 (sin.f64 y)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (sin.f64 y) z)) (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64))) (*.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 y) z)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y))) (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (neg.f64 z)))) (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 z (sin.f64 y)))))) (*.f64 (neg.f64 (sin.f64 y)) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 z (sin.f64 y)) #s(literal 3 binary64))))) (*.f64 (neg.f64 (sin.f64 y)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 z (sin.f64 y)))))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (/.f64 z (sin.f64 y)))) (*.f64 (neg.f64 (sin.f64 y)) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 z (sin.f64 y)) #s(literal 2 binary64))))) (*.f64 (neg.f64 (sin.f64 y)) (+.f64 #s(literal 0 binary64) (/.f64 z (sin.f64 y)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y))) (*.f64 (neg.f64 (sin.f64 y)) (*.f64 #s(literal -1 binary64) (neg.f64 z)))) (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (neg.f64 (sin.f64 y)))))
(/.f64 (neg.f64 (*.f64 z #s(literal 1 binary64))) (neg.f64 (sin.f64 y)))
(pow.f64 (/.f64 (sin.f64 y) z) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (sin.f64 y) z) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z (sin.f64 y)))
(*.f64 z (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))))
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (sin.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z)
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))

eval198.0ms (1.9%)

Memory
5.7MiB live, 486.0MiB allocated
Compiler

Compiled 43 372 to 2 956 computations (93.2% saved)

prune182.0ms (1.8%)

Memory
-18.0MiB live, 479.3MiB allocated
Pruning

39 alts after pruning (33 fresh and 6 done)

PrunedKeptTotal
New1 367251 392
Fresh11819
Picked325
Done044
Total1 381391 420
Accuracy
100.0%
Counts
1 420 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.2%
(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)))))))
✓99.8%
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
▶78.3%
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
✓99.8%
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
16.8%
(/.f64 #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (*.f64 (neg.f64 (*.f64 z z)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
53.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* (sin y) (neg z))) (-.f64 x (*.f64 y z)))))
60.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* (sin y) (neg z))) (*.f64 x (cos.f64 y)))))
33.8%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* (sin y) (neg z)))) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
60.1%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* (sin y) (neg z)))) (/.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)))
40.1%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* (sin y) (neg z)))) (/.f64 #s(literal 1 binary64) x)))
53.0%
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x))
27.0%
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 z)) (sin.f64 y)))
60.1%
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* 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)))))) (+ (* 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)))))
17.7%
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (+.f64 (fma.f64 z #s(literal 2/45 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 z #s(literal -1/6 binary64)))) (*.f64 z #s(literal -1/120 binary64))) (neg.f64 (*.f64 y y)) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))))
▶17.6%
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (*.f64 y (neg.f64 z))))
87.3%
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))))
41.3%
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (*.f64 z (neg.f64 (sin.f64 y))))
▶93.4%
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))))
53.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y #s(approx (+ (* x -1/2) (* (* y z) 1/6)) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z)) x))
38.4%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y #s(approx (+ (* y (+ (* x -1/2) (* (* y z) 1/6))) (neg z)) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) x))
29.4%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
7.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (fma.f64 x (*.f64 y z) (*.f64 (*.f64 y z) (*.f64 y z)))) (-.f64 x (*.f64 y z))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
14.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 (*.f64 x x) (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))) (-.f64 x (*.f64 y z))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
14.9%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
15.0%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (-.f64 x (*.f64 y z))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
▶15.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
✓53.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
29.3%
#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))))
✓60.6%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
38.4%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #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)))))
38.4%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #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)))))
38.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
✓40.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
49.0%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 z (-.f64 (/.f64 x z) y))))
▶47.2%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 x (fma.f64 y (/.f64 z (neg.f64 x)) #s(literal 1 binary64)))))
3.1%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* y (+ (* y (+ (* x -1/2) (* (* y z) 1/6))) (neg z))) x) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y))) z)))
17.7%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* y (+ (* y (+ (* x -1/2) (* (* y z) 1/6))) (neg z))) x) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
38.4%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y)) (*.f64 x #s(literal -1/2 binary64))) x)))
Compiler

Compiled 1 322 to 706 computations (46.6% saved)

simplify207.0ms (2%)

Memory
1.4MiB live, 309.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
cost-diff0
(neg.f64 z)
cost-diff0
(sin.f64 y)
cost-diff0
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
cost-diff0
(*.f64 x (*.f64 x x))
cost-diff0
#s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (*.f64 x (*.f64 x x)))
cost-diff0
(/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)))
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
cost-diff0
(fma.f64 y (/.f64 z (neg.f64 x)) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 x (fma.f64 y (/.f64 z (neg.f64 x)) #s(literal 1 binary64))))
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 x (fma.f64 y (/.f64 z (neg.f64 x)) #s(literal 1 binary64)))))
cost-diff1024
(*.f64 x (fma.f64 y (/.f64 z (neg.f64 x)) #s(literal 1 binary64)))
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 y (neg.f64 z))
cost-diff0
#s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (*.f64 y (neg.f64 z)))
cost-diff0
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (*.f64 y (neg.f64 z))))
cost-diff0
(cos.f64 y)
cost-diff0
(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
cost-diff0
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))))
cost-diff704
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
Rules
9 076×lower-fma.f32
9 068×lower-fma.f64
4 598×lower-*.f32
4 582×lower-*.f64
1 528×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073421
099426
1204425
2447359
31359341
43549340
55994340
08053335
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
x
(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
(cos.f64 y)
y
(*.f64 z (/.f64 (sin.f64 y) x))
z
(/.f64 (sin.f64 y) x)
(sin.f64 y)
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (*.f64 y (neg.f64 z))))
#s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (*.f64 y (neg.f64 z)))
(*.f64 y (neg.f64 z))
y
(neg.f64 z)
z
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 x (fma.f64 y (/.f64 z (neg.f64 x)) #s(literal 1 binary64)))))
#s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 x (fma.f64 y (/.f64 z (neg.f64 x)) #s(literal 1 binary64))))
(*.f64 x (fma.f64 y (/.f64 z (neg.f64 x)) #s(literal 1 binary64)))
x
(fma.f64 y (/.f64 z (neg.f64 x)) #s(literal 1 binary64))
y
(/.f64 z (neg.f64 x))
z
(neg.f64 x)
#s(literal 1 binary64)
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
(/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)))
#s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
(fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))
(*.f64 y z)
y
z
(fma.f64 y z x)
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
(sin.f64 y)
y
(neg.f64 z)
z
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
x
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
x
(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(cos.f64 y)
y
(*.f64 z (/.f64 (sin.f64 y) x))
(/.f64 (*.f64 z (sin.f64 y)) x)
z
(/.f64 (sin.f64 y) x)
(sin.f64 y)
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (*.f64 y (neg.f64 z))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (neg.f64 (*.f64 y z))))
#s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (*.f64 y (neg.f64 z)))
#s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (neg.f64 (*.f64 y z)))
(*.f64 y (neg.f64 z))
(neg.f64 (*.f64 y z))
y
(neg.f64 z)
z
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 x (fma.f64 y (/.f64 z (neg.f64 x)) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (-.f64 x (*.f64 y z))))
#s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 x (fma.f64 y (/.f64 z (neg.f64 x)) #s(literal 1 binary64))))
#s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (-.f64 x (*.f64 y z)))
(*.f64 x (fma.f64 y (/.f64 z (neg.f64 x)) #s(literal 1 binary64)))
(-.f64 x (*.f64 y z))
x
(fma.f64 y (/.f64 z (neg.f64 x)) #s(literal 1 binary64))
y
(/.f64 z (neg.f64 x))
z
(neg.f64 x)
#s(literal 1 binary64)
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x))))
(/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)))
(/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x)))
#s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
(fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))
(fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x))
(*.f64 y z)
y
z
(fma.f64 y z x)
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(sin.f64 y)
y
(neg.f64 z)
z
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
x
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)

localize271.0ms (2.6%)

Memory
13.2MiB live, 540.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 z)
accuracy0.0625
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
accuracy0.12890625
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
accuracy27.949287544109684
#s(approx (cos y) #s(literal 1 binary64))
accuracy0.10384750976844201
(fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))
accuracy25.38096334190732
#s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (*.f64 x (*.f64 x x)))
accuracy29.62472997207431
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
accuracy43.207253230065454
(/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)))
accuracy0
#s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 x (fma.f64 y (/.f64 z (neg.f64 x)) #s(literal 1 binary64))))
accuracy2.709019928321976
(fma.f64 y (/.f64 z (neg.f64 x)) #s(literal 1 binary64))
accuracy5.0035425740439585
(*.f64 x (fma.f64 y (/.f64 z (neg.f64 x)) #s(literal 1 binary64)))
accuracy29.62472997207431
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 x (fma.f64 y (/.f64 z (neg.f64 x)) #s(literal 1 binary64)))))
accuracy0
(*.f64 y (neg.f64 z))
accuracy0
(neg.f64 z)
accuracy30.248120155453556
#s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (*.f64 y (neg.f64 z)))
accuracy37.52819062373036
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (*.f64 y (neg.f64 z))))
accuracy0.0078125
(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
accuracy0.109375
(/.f64 (sin.f64 y) x)
accuracy3.166180889168928
(*.f64 z (/.f64 (sin.f64 y) x))
accuracy4.1498986912728695
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
Samples
98.0ms80×2valid
64.0ms127×0valid
25.0ms14×3valid
25.0ms35×1valid
Compiler

Compiled 298 to 59 computations (80.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 178.0ms
ival-cos: 53.0ms (29.8% of total)
ival-mult: 41.0ms (23.1% of total)
adjust: 28.0ms (15.8% of total)
ival-add: 19.0ms (10.7% of total)
ival-div: 17.0ms (9.6% of total)
ival-sin: 8.0ms (4.5% of total)
ival-sub: 7.0ms (3.9% of total)
ival-neg: 4.0ms (2.3% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series52.0ms (0.5%)

Memory
-29.6MiB live, 47.3MiB allocated
Counts
23 → 660
Calls
Call 1
Inputs
#<alt (*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))>
#<alt #s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))))>
#<alt (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))>
#<alt (cos.f64 y)>
#<alt #s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (*.f64 y (neg.f64 z))))>
#<alt #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (*.f64 y (neg.f64 z)))>
#<alt (*.f64 y (neg.f64 z))>
#<alt (neg.f64 z)>
#<alt (*.f64 x (fma.f64 y (/.f64 z (neg.f64 x)) #s(literal 1 binary64)))>
#<alt #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 x (fma.f64 y (/.f64 z (neg.f64 x)) #s(literal 1 binary64)))))>
#<alt #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 x (fma.f64 y (/.f64 z (neg.f64 x)) #s(literal 1 binary64))))>
#<alt (fma.f64 y (/.f64 z (neg.f64 x)) #s(literal 1 binary64))>
#<alt #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))>
#<alt (/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)))>
#<alt #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (*.f64 x (*.f64 x x)))>
#<alt (*.f64 x (*.f64 x x))>
#<alt (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))>
#<alt (sin.f64 y)>
#<alt (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))>
#<alt (*.f64 z (/.f64 (sin.f64 y) x))>
#<alt (/.f64 (sin.f64 y) x)>
#<alt (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))>
#<alt #s(approx (cos 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 x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* x (cos y))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))>
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))>
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* 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 x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (- (* y (- (* -1 x) (* -1/2 x))) z)))>
#<alt (+ x (* y (- (* y (- (+ (* -1 x) (* -1 (* y (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 x) (* -1/2 x))) x)))))) (* -1/2 x))) z)))>
#<alt (/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (+ (* z (- (* z (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (+ (* z (- (* z (- (+ (* -1 (/ (* z (* (sin y) (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3))))))) (* x (cos y)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y))))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))))>
#<alt (* z (- (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y)))) (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3))))))>
#<alt (* z (- (+ (* -1 (/ (* x (* (cos y) (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))))) (* (pow z 3) (sin y)))) (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y))))) (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3))))))>
#<alt (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))>
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#<alt (* (pow z 3) (+ (* -1 (/ (* x (pow y 2)) z)) (+ (* -1 (/ (* (pow x 2) y) (pow z 2))) (+ (* -1 (pow y 3)) (+ (/ (* x (pow y 2)) z) (+ (/ (* (pow x 2) y) (pow z 2)) (/ (pow x 3) (pow z 3))))))))>
#<alt (* -1 (* (pow y 3) (pow z 3)))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (* x (pow y 2))) (* x (pow y 2))) z)) (pow y 3))))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (* x (pow y 2))) (+ (* -1 (/ (+ (* -1 (* (pow x 2) y)) (* (pow x 2) y)) z)) (* x (pow y 2)))) z)) (pow y 3))))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (* x (pow y 2))) (+ (* -1 (/ (+ (* -1 (* (pow x 2) y)) (+ (* -1 (/ (pow x 3) z)) (* (pow x 2) y))) z)) (* x (pow y 2)))) z)) (pow y 3))))>
#<alt (* -1 (* (pow y 3) (pow z 3)))>
#<alt (+ (* -1 (* (pow y 3) (pow z 3))) (* x (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2)))))>
#<alt (+ (* -1 (* (pow y 3) (pow z 3))) (* x (+ (* -1 (* (pow y 2) (pow z 2))) (+ (* x (+ (* -1 (* y z)) (* y z))) (* (pow y 2) (pow z 2))))))>
#<alt (+ (* -1 (* (pow y 3) (pow z 3))) (* x (+ (* -1 (* (pow y 2) (pow z 2))) (+ (* x (+ x (+ (* -1 (* y z)) (* y z)))) (* (pow y 2) (pow z 2))))))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (+ (* -1 (/ (* y z) x)) (/ (* y z) x))))>
#<alt (* (pow x 3) (+ 1 (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (+ (/ (* y z) x) (/ (* (pow y 2) (pow z 2)) (pow x 2)))))))>
#<alt (* (pow x 3) (+ 1 (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (+ (* -1 (/ (* (pow y 3) (pow z 3)) (pow x 3))) (+ (/ (* y z) x) (/ (* (pow y 2) (pow z 2)) (pow x 2))))))))>
#<alt (pow x 3)>
#<alt (* -1 (* (pow x 3) (- (+ (* -1 (/ (* y z) x)) (/ (* y z) x)) 1)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (+ (* -1 (* y z)) (* y z))) (+ (* -1 (/ (* (pow y 2) (pow z 2)) x)) (/ (* (pow y 2) (pow z 2)) x))) x)) 1)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (+ (* -1 (* y z)) (* y z))) (* -1 (/ (+ (* -1 (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2)))) (/ (* (pow y 3) (pow z 3)) x)) x))) x)) 1)))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<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)))>
#<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 (+ (* -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 y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<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 (/ (* 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 (/ y x)>
#<alt (* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))>
#<alt (* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))>
#<alt (* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (pow x 2)>
#<alt (+ (* x (* y z)) (pow x 2))>
#<alt (+ (* y (+ (* x z) (* y (pow z 2)))) (pow x 2))>
#<alt (+ (* y (+ (* x z) (* y (pow z 2)))) (pow x 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (+ (/ (* x z) y) (pow z 2)))>
#<alt (* (pow y 2) (+ (/ (* x z) y) (+ (/ (pow x 2) (pow y 2)) (pow z 2))))>
#<alt (* (pow y 2) (+ (/ (* x z) y) (+ (/ (pow x 2) (pow y 2)) (pow z 2))))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (+ (/ (* x z) y) (pow z 2)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (* -1 (/ (pow x 2) y))) y)) (pow z 2)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (* -1 (/ (pow x 2) y))) y)) (pow z 2)))>
#<alt (pow x 2)>
#<alt (+ (* x (* y z)) (pow x 2))>
#<alt (+ (* z (+ (* x y) (* (pow y 2) z))) (pow x 2))>
#<alt (+ (* z (+ (* x y) (* (pow y 2) z))) (pow x 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow z 2) (+ (/ (* x y) z) (pow y 2)))>
#<alt (* (pow z 2) (+ (/ (* x y) z) (+ (/ (pow x 2) (pow z 2)) (pow y 2))))>
#<alt (* (pow z 2) (+ (/ (* x y) z) (+ (/ (pow x 2) (pow z 2)) (pow y 2))))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow z 2) (+ (/ (* x y) z) (pow y 2)))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (pow x 2) z))) z)) (pow y 2)))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (pow x 2) z))) z)) (pow y 2)))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (+ (* x (* y z)) (* (pow y 2) (pow z 2)))>
#<alt (+ (* x (+ x (* y z))) (* (pow y 2) (pow z 2)))>
#<alt (+ (* x (+ x (* y z))) (* (pow y 2) (pow z 2)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ (* y z) x)))>
#<alt (* (pow x 2) (+ 1 (+ (/ (* y z) x) (/ (* (pow y 2) (pow z 2)) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (/ (* y z) x) (/ (* (pow y 2) (pow z 2)) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ (* y z) x)))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (* y z)) (* -1 (/ (* (pow y 2) (pow z 2)) x))) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (* y z)) (* -1 (/ (* (pow y 2) (pow z 2)) x))) 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)>
Calls

165 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(* x (- (cos y) (* z (/ (sin y) x))))
2.0ms
x
@0
(* x (- (cos y) (* z (/ (sin y) x))))
1.0ms
y
@-inf
(* x (- (cos y) (* z (/ (sin y) x))))
1.0ms
y
@inf
(* x (- (cos y) (* z (/ (sin y) x))))
1.0ms
x
@-inf
(* x (- (cos y) (* z (/ (sin y) x))))

simplify661.0ms (6.4%)

Memory
22.0MiB live, 459.9MiB allocated
Algorithm
1×egg-herbie
Rules
12 262×lower-fma.f64
12 262×lower-fma.f32
7 426×lower-*.f64
7 426×lower-*.f32
4 434×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07487463
125897008
083636735
Stop Event
1×iter limit
1×node limit
Counts
660 → 640
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)))))
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
1
(+ 1 (* -1 (/ (* 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)
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)))
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(pow x 3)
(* -1 (* (pow x 3) (- (+ (* -1 (/ (* y z) x)) (/ (* y z) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (+ (* -1 (* y z)) (* y z))) (+ (* -1 (/ (* (pow y 2) (pow z 2)) x)) (/ (* (pow y 2) (pow z 2)) x))) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (+ (* -1 (* y z)) (* y z))) (* -1 (/ (+ (* -1 (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2)))) (/ (* (pow y 3) (pow z 3)) x)) x))) x)) 1)))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
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)
(* 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))
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* y z) x)
(* y (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x)))
(* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* 1/120 (/ (* (pow y 2) z) x)))) (/ z x)))
(* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* (pow y 2) (+ (* -1/5040 (/ (* (pow y 2) z) x)) (* 1/120 (/ z x)))))) (/ z x)))
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ y x)
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(pow x 2)
(+ (* x (* y z)) (pow x 2))
(+ (* y (+ (* x z) (* y (pow z 2)))) (pow x 2))
(+ (* y (+ (* x z) (* y (pow z 2)))) (pow x 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (+ (/ (* x z) y) (pow z 2)))
(* (pow y 2) (+ (/ (* x z) y) (+ (/ (pow x 2) (pow y 2)) (pow z 2))))
(* (pow y 2) (+ (/ (* x z) y) (+ (/ (pow x 2) (pow y 2)) (pow z 2))))
(* (pow y 2) (pow z 2))
(* (pow y 2) (+ (/ (* x z) y) (pow z 2)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (* -1 (/ (pow x 2) y))) y)) (pow z 2)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (* -1 (/ (pow x 2) y))) y)) (pow z 2)))
(pow x 2)
(+ (* x (* y z)) (pow x 2))
(+ (* z (+ (* x y) (* (pow y 2) z))) (pow x 2))
(+ (* z (+ (* x y) (* (pow y 2) z))) (pow x 2))
(* (pow y 2) (pow z 2))
(* (pow z 2) (+ (/ (* x y) z) (pow y 2)))
(* (pow z 2) (+ (/ (* x y) z) (+ (/ (pow x 2) (pow z 2)) (pow y 2))))
(* (pow z 2) (+ (/ (* x y) z) (+ (/ (pow x 2) (pow z 2)) (pow y 2))))
(* (pow y 2) (pow z 2))
(* (pow z 2) (+ (/ (* x y) z) (pow y 2)))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (pow x 2) z))) z)) (pow y 2)))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (pow x 2) z))) z)) (pow y 2)))
(* (pow y 2) (pow z 2))
(+ (* x (* y z)) (* (pow y 2) (pow z 2)))
(+ (* x (+ x (* y z))) (* (pow y 2) (pow z 2)))
(+ (* x (+ x (* y z))) (* (pow y 2) (pow z 2)))
(pow x 2)
(* (pow x 2) (+ 1 (/ (* y z) x)))
(* (pow x 2) (+ 1 (+ (/ (* y z) x) (/ (* (pow y 2) (pow z 2)) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (/ (* y z) x) (/ (* (pow y 2) (pow z 2)) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (* y z) x)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (* y z)) (* -1 (/ (* (pow y 2) (pow z 2)) x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (* y z)) (* -1 (/ (* (pow y 2) (pow z 2)) x))) 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)
Outputs
(* -1 (* z (sin y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+ (* -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 (-.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y)) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (-.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y)) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (-.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y)) (neg.f64 x))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x)
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(fma.f64 y (fma.f64 y (fma.f64 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 (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
(* x (- (cos y) (/ (* z (sin y)) x)))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
(* x (- (cos y) (/ (* z (sin y)) x)))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
(* x (- (cos y) (/ (* z (sin y)) x)))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
(* x (- (cos y) (/ (* z (sin y)) x)))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
(* x (- (cos y) (/ (* z (sin y)) x)))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
(* x (- (cos y) (/ (* z (sin y)) x)))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
(* x (- (cos y) (/ (* 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 (* 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 (sin.f64 y) (neg.f64 z))
(* 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 (sin.f64 y) (neg.f64 z))
(* -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)))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x)
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+ (* -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 (-.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y)) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (-.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y)) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (-.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y)) (neg.f64 x))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(* 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 (sin.f64 y) (neg.f64 z))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (* 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 (fma.f64 y (fma.f64 y (*.f64 (/.f64 z x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (/.f64 z (neg.f64 x))) #s(literal 1 binary64))
(- (cos y) (/ (* z (sin y)) x))
(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
(- (cos y) (/ (* z (sin y)) x))
(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
(- (cos y) (/ (* z (sin y)) x))
(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
(- (cos y) (/ (* z (sin y)) x))
(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
(- (cos y) (/ (* z (sin y)) x))
(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
(- (cos y) (/ (* z (sin y)) x))
(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
(- (cos y) (/ (* z (sin y)) x))
(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
(- (cos y) (/ (* z (sin y)) x))
(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
(cos y)
(cos.f64 y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
(* -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 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) x)
(/ (- (* x (cos y)) (* z (sin y))) x)
(/.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) x)
(/ (- (* x (cos y)) (* z (sin y))) x)
(/.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) x)
(cos y)
(cos.f64 y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
(cos y)
(cos.f64 y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
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(*.f64 z (/.f64 (sin.f64 y) x))
(/ (* z (sin y)) x)
(*.f64 z (/.f64 (sin.f64 y) x))
(/ (* z (sin y)) x)
(*.f64 z (/.f64 (sin.f64 y) x))
(/ y x)
(/.f64 y x)
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y y) x) (/.f64 #s(literal 1 binary64) x)))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
(*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 y y) x) (/.f64 #s(literal -1/6 binary64) x)) y) y (/.f64 #s(literal 1 binary64) x)))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 y y) x) (/.f64 #s(literal 1/120 binary64) x)) (/.f64 #s(literal -1/6 binary64) x)) (/.f64 #s(literal 1 binary64) x)))
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(pow x 2)
(*.f64 x x)
(+ (* x (* y z)) (pow x 2))
(*.f64 x (fma.f64 z y x))
(+ (* y (+ (* x z) (* y (pow z 2)))) (pow x 2))
(fma.f64 z (fma.f64 z (*.f64 y y) (*.f64 y x)) (*.f64 x x))
(+ (* y (+ (* x z) (* y (pow z 2)))) (pow x 2))
(fma.f64 z (fma.f64 z (*.f64 y y) (*.f64 y x)) (*.f64 x x))
(* (pow y 2) (pow z 2))
(*.f64 (*.f64 z y) (*.f64 z y))
(* (pow y 2) (+ (/ (* x z) y) (pow z 2)))
(*.f64 y (*.f64 y (fma.f64 z z (/.f64 (*.f64 z x) y))))
(* (pow y 2) (+ (/ (* x z) y) (+ (/ (pow x 2) (pow y 2)) (pow z 2))))
(*.f64 (*.f64 y y) (fma.f64 x (/.f64 z y) (fma.f64 z z (/.f64 (*.f64 x x) (*.f64 y y)))))
(* (pow y 2) (+ (/ (* x z) y) (+ (/ (pow x 2) (pow y 2)) (pow z 2))))
(*.f64 (*.f64 y y) (fma.f64 x (/.f64 z y) (fma.f64 z z (/.f64 (*.f64 x x) (*.f64 y y)))))
(* (pow y 2) (pow z 2))
(*.f64 (*.f64 z y) (*.f64 z y))
(* (pow y 2) (+ (/ (* x z) y) (pow z 2)))
(*.f64 y (*.f64 y (fma.f64 z z (/.f64 (*.f64 z x) y))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (* -1 (/ (pow x 2) y))) y)) (pow z 2)))
(*.f64 (*.f64 y y) (-.f64 (*.f64 z z) (/.f64 (neg.f64 (fma.f64 z x (/.f64 (*.f64 x x) y))) y)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (* -1 (/ (pow x 2) y))) y)) (pow z 2)))
(*.f64 (*.f64 y y) (-.f64 (*.f64 z z) (/.f64 (neg.f64 (fma.f64 z x (/.f64 (*.f64 x x) y))) y)))
(pow x 2)
(*.f64 x x)
(+ (* x (* y z)) (pow x 2))
(*.f64 x (fma.f64 z y x))
(+ (* z (+ (* x y) (* (pow y 2) z))) (pow x 2))
(fma.f64 z (fma.f64 z (*.f64 y y) (*.f64 y x)) (*.f64 x x))
(+ (* z (+ (* x y) (* (pow y 2) z))) (pow x 2))
(fma.f64 z (fma.f64 z (*.f64 y y) (*.f64 y x)) (*.f64 x x))
(* (pow y 2) (pow z 2))
(*.f64 (*.f64 z y) (*.f64 z y))
(* (pow z 2) (+ (/ (* x y) z) (pow y 2)))
(*.f64 (*.f64 z z) (fma.f64 y y (/.f64 (*.f64 y x) z)))
(* (pow z 2) (+ (/ (* x y) z) (+ (/ (pow x 2) (pow z 2)) (pow y 2))))
(*.f64 (*.f64 z z) (fma.f64 x (/.f64 y z) (fma.f64 y y (/.f64 (*.f64 x x) (*.f64 z z)))))
(* (pow z 2) (+ (/ (* x y) z) (+ (/ (pow x 2) (pow z 2)) (pow y 2))))
(*.f64 (*.f64 z z) (fma.f64 x (/.f64 y z) (fma.f64 y y (/.f64 (*.f64 x x) (*.f64 z z)))))
(* (pow y 2) (pow z 2))
(*.f64 (*.f64 z y) (*.f64 z y))
(* (pow z 2) (+ (/ (* x y) z) (pow y 2)))
(*.f64 (*.f64 z z) (fma.f64 y y (/.f64 (*.f64 y x) z)))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (pow x 2) z))) z)) (pow y 2)))
(*.f64 (*.f64 z z) (-.f64 (*.f64 y y) (/.f64 (neg.f64 (fma.f64 y x (/.f64 (*.f64 x x) z))) z)))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (pow x 2) z))) z)) (pow y 2)))
(*.f64 (*.f64 z z) (-.f64 (*.f64 y y) (/.f64 (neg.f64 (fma.f64 y x (/.f64 (*.f64 x x) z))) z)))
(* (pow y 2) (pow z 2))
(*.f64 (*.f64 z y) (*.f64 z y))
(+ (* x (* y z)) (* (pow y 2) (pow z 2)))
(*.f64 z (fma.f64 z (*.f64 y y) (*.f64 y x)))
(+ (* x (+ x (* y z))) (* (pow y 2) (pow z 2)))
(fma.f64 z (fma.f64 z (*.f64 y y) (*.f64 y x)) (*.f64 x x))
(+ (* x (+ x (* y z))) (* (pow y 2) (pow z 2)))
(fma.f64 z (fma.f64 z (*.f64 y y) (*.f64 y x)) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ (* y z) x)))
(*.f64 x (*.f64 x (fma.f64 y (/.f64 z x) #s(literal 1 binary64))))
(* (pow x 2) (+ 1 (+ (/ (* y z) x) (/ (* (pow y 2) (pow z 2)) (pow x 2)))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (/.f64 (*.f64 z z) (*.f64 x x)) (fma.f64 y (/.f64 z x) #s(literal 1 binary64))))
(* (pow x 2) (+ 1 (+ (/ (* y z) x) (/ (* (pow y 2) (pow z 2)) (pow x 2)))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (/.f64 (*.f64 z z) (*.f64 x x)) (fma.f64 y (/.f64 z x) #s(literal 1 binary64))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ (* y z) x)))
(*.f64 x (*.f64 x (fma.f64 y (/.f64 z x) #s(literal 1 binary64))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (* y z)) (* -1 (/ (* (pow y 2) (pow z 2)) x))) x))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y))) x)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (* y z)) (* -1 (/ (* (pow y 2) (pow z 2)) x))) x))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y))) x)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)

rewrite287.0ms (2.8%)

Memory
15.5MiB live, 498.7MiB allocated
Rules
4 862×lower-*.f32
4 846×lower-*.f64
4 390×lower-fma.f32
4 382×lower-fma.f64
3 660×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073385
099372
1398273
23020273
08788271
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 284
Calls
Call 1
Inputs
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))))
(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) 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)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (*.f64 y (neg.f64 z))))
#s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (*.f64 y (neg.f64 z)))
(*.f64 y (neg.f64 z))
(neg.f64 z)
(*.f64 x (fma.f64 y (/.f64 z (neg.f64 x)) #s(literal 1 binary64)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 x (fma.f64 y (/.f64 z (neg.f64 x)) #s(literal 1 binary64)))))
#s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 x (fma.f64 y (/.f64 z (neg.f64 x)) #s(literal 1 binary64))))
(fma.f64 y (/.f64 z (neg.f64 x)) #s(literal 1 binary64))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
(/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)))
#s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
(sin.f64 y)
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
(*.f64 z (/.f64 (sin.f64 y) x))
(/.f64 (sin.f64 y) x)
(fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))
#s(approx (cos y) #s(literal 1 binary64))
Outputs
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 x (neg.f64 (/.f64 (*.f64 z (sin.f64 y)) x))))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (neg.f64 (/.f64 (*.f64 z (sin.f64 y)) x)) x))
(fma.f64 x (cos.f64 y) (*.f64 x (neg.f64 (/.f64 (*.f64 z (sin.f64 y)) x))))
(fma.f64 x (cos.f64 y) (*.f64 (neg.f64 (/.f64 (*.f64 z (sin.f64 y)) x)) x))
(fma.f64 (cos.f64 y) x (*.f64 x (neg.f64 (/.f64 (*.f64 z (sin.f64 y)) x))))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 (/.f64 (*.f64 z (sin.f64 y)) x)) x))
(/.f64 (*.f64 x (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(/.f64 (*.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 x x)))) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 3 binary64))) x) (fma.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 x x))) x) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (*.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 x x))))) (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 x x))) x)) (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))))
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
(*.f64 (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)) x)
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))))
(+.f64 (cos.f64 y) (neg.f64 (/.f64 (*.f64 z (sin.f64 y)) x)))
(+.f64 (neg.f64 (/.f64 (*.f64 z (sin.f64 y)) x)) (cos.f64 y))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(-.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 z (/.f64 (sin.f64 y) 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)) (*.f64 x x)) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))))
(fma.f64 z (neg.f64 (/.f64 (sin.f64 y) x)) (cos.f64 y))
(fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y))
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))
(fma.f64 (neg.f64 (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) x) (cos.f64 y))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y))
(fma.f64 (neg.f64 (/.f64 (sin.f64 y) x)) z (cos.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
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(exp.f64 (*.f64 (log.f64 (/.f64 x (sin.f64 y))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 x)))
(/.f64 (sin.f64 y) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (sin.f64 y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (sin.f64 y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (sin.f64 y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (sin.f64 y)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (sin.f64 y))) x)
(/.f64 (/.f64 (sin.f64 y) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (/.f64 (sin.f64 y) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 y)))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64))) (neg.f64 x))
(pow.f64 (/.f64 x (sin.f64 y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (sin.f64 y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) x))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64)))
(+.f64 (*.f64 x x) (*.f64 y (*.f64 z (fma.f64 y z x))))
(+.f64 (*.f64 y (*.f64 z (fma.f64 y z x))) (*.f64 x x))
(+.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 x (*.f64 y z) (*.f64 x x)))
(+.f64 (fma.f64 x x (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 x (*.f64 y z)))
(-.f64 (/.f64 (*.f64 y (*.f64 (*.f64 z (fma.f64 y z x)) (*.f64 y (*.f64 z (fma.f64 y z x))))) (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 (neg.f64 x) x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 (neg.f64 x) x))))
(fma.f64 x x (*.f64 y (*.f64 z (fma.f64 y z x))))
(fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x))
(fma.f64 y (*.f64 z (*.f64 y z)) (fma.f64 x (*.f64 y z) (*.f64 x x)))
(fma.f64 z (*.f64 y (*.f64 y z)) (fma.f64 x (*.f64 y z) (*.f64 x x)))
(fma.f64 z (*.f64 y (fma.f64 y z x)) (*.f64 x x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 y (*.f64 z (fma.f64 y z x))))
(fma.f64 (*.f64 z z) (*.f64 y y) (fma.f64 x (*.f64 y z) (*.f64 x x)))
(fma.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z)) (fma.f64 x (*.f64 y z) (*.f64 x x)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 y (*.f64 z (fma.f64 y z x))))
(fma.f64 (*.f64 y z) (*.f64 y z) (fma.f64 x (*.f64 y z) (*.f64 x x)))
(fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 y (*.f64 z (fma.f64 y z x))))
(fma.f64 (fma.f64 y z x) (*.f64 y z) (*.f64 x x))
(fma.f64 (*.f64 y y) (*.f64 z z) (fma.f64 x (*.f64 y z) (*.f64 x x)))
(fma.f64 (*.f64 z (fma.f64 y z x)) y (*.f64 x x))
(fma.f64 (*.f64 (*.f64 y z) z) y (fma.f64 x (*.f64 y z) (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 y z) y) z (fma.f64 x (*.f64 y z) (*.f64 x x)))
(fma.f64 (*.f64 (fma.f64 y z x) y) z (*.f64 x x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 y (*.f64 z (fma.f64 y z x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 (*.f64 z (fma.f64 y z x)) (*.f64 y (*.f64 z (fma.f64 y z x)))) (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 y (*.f64 z (fma.f64 y z x)))))) (fma.f64 (*.f64 y (*.f64 z (fma.f64 y z x))) (*.f64 y (*.f64 (*.f64 z (fma.f64 y z x)) (*.f64 y (*.f64 z (fma.f64 y z x))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 (neg.f64 x) x)) (*.f64 (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x)) (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 (neg.f64 x) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (*.f64 (*.f64 z (fma.f64 y z x)) (*.f64 y (*.f64 z (fma.f64 y z x)))) (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 y (*.f64 z (fma.f64 y z x)))))) (fma.f64 (*.f64 y (*.f64 z (fma.f64 y z x))) (*.f64 y (*.f64 (*.f64 z (fma.f64 y z x)) (*.f64 y (*.f64 z (fma.f64 y z x))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 (neg.f64 x) x)) (*.f64 (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x)) (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 (neg.f64 x) x))))))
(/.f64 (fma.f64 (*.f64 y (*.f64 z (fma.f64 y z x))) (*.f64 y (*.f64 (*.f64 z (fma.f64 y z x)) (*.f64 y (*.f64 z (fma.f64 y z x))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 y (*.f64 (*.f64 z (fma.f64 y z x)) (*.f64 y (*.f64 z (fma.f64 y z x)))) (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 y (*.f64 z (fma.f64 y z x)))))))
(/.f64 (fma.f64 (*.f64 y (*.f64 z (fma.f64 y z x))) (*.f64 y (*.f64 (*.f64 z (fma.f64 y z x)) (*.f64 y (*.f64 z (fma.f64 y z x))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 (*.f64 y (*.f64 (*.f64 z (fma.f64 y z x)) (*.f64 y (*.f64 z (fma.f64 y z x))))) (*.f64 (*.f64 x x) (*.f64 y (*.f64 z (fma.f64 y z x)))))))
(/.f64 (*.f64 (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x)) (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 (neg.f64 x) x))) (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 z (fma.f64 y z x))) (*.f64 y (*.f64 (*.f64 z (fma.f64 y z x)) (*.f64 y (*.f64 z (fma.f64 y z x))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 y (*.f64 (*.f64 z (fma.f64 y z x)) (*.f64 y (*.f64 z (fma.f64 y z x)))) (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 y (*.f64 z (fma.f64 y z x))))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 z (fma.f64 y z x))) (*.f64 y (*.f64 (*.f64 z (fma.f64 y z x)) (*.f64 y (*.f64 z (fma.f64 y z x))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 (*.f64 y (*.f64 (*.f64 z (fma.f64 y z x)) (*.f64 y (*.f64 z (fma.f64 y z x))))) (*.f64 (*.f64 x x) (*.f64 y (*.f64 z (fma.f64 y z x))))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x)) (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 (neg.f64 x) x)))) (neg.f64 (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 (neg.f64 x) x))))
(/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 (*.f64 z (fma.f64 y z x)) (*.f64 y (*.f64 z (fma.f64 y z x)))))) (-.f64 (*.f64 x x) (*.f64 y (*.f64 z (fma.f64 y z x)))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 (*.f64 z (fma.f64 y z x)) (*.f64 y (*.f64 z (fma.f64 y z x))))) (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 (neg.f64 x) x))) (*.f64 (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 (neg.f64 x) x)) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 (neg.f64 x) x)) (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 (neg.f64 x) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 z (fma.f64 y z x))) (*.f64 y (*.f64 (*.f64 z (fma.f64 y z x)) (*.f64 y (*.f64 z (fma.f64 y z x))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (neg.f64 (neg.f64 (fma.f64 y (*.f64 (*.f64 z (fma.f64 y z x)) (*.f64 y (*.f64 z (fma.f64 y z x)))) (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 y (*.f64 z (fma.f64 y z x)))))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x)) (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 (neg.f64 x) x))))) (neg.f64 (neg.f64 (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 (*.f64 z (fma.f64 y z x)) (*.f64 y (*.f64 z (fma.f64 y z x))))))) (neg.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 z (fma.f64 y z x))))))
(pow.f64 (/.f64 (fma.f64 y (*.f64 (*.f64 z (fma.f64 y z x)) (*.f64 y (*.f64 z (fma.f64 y z x)))) (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 y (*.f64 z (fma.f64 y z x)))))) (fma.f64 (*.f64 y (*.f64 z (fma.f64 y z x))) (*.f64 y (*.f64 (*.f64 z (fma.f64 y z x)) (*.f64 y (*.f64 z (fma.f64 y z x))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 (neg.f64 x) x)) (*.f64 (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x)) (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 (neg.f64 x) x)))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 y (*.f64 z (fma.f64 y z x))) (*.f64 y (*.f64 (*.f64 z (fma.f64 y z x)) (*.f64 y (*.f64 z (fma.f64 y z x))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 (*.f64 z (fma.f64 y z x)) (*.f64 y (*.f64 z (fma.f64 y z x)))) (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 y (*.f64 z (fma.f64 y z x))))))))
(*.f64 (*.f64 (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x)) (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 (neg.f64 x) x))))
#s(approx (cos y) #s(literal 1 binary64))

eval216.0ms (2.1%)

Memory
-21.5MiB live, 253.8MiB allocated
Compiler

Compiled 17 762 to 1 373 computations (92.3% saved)

prune138.0ms (1.3%)

Memory
9.9MiB live, 293.5MiB allocated
Pruning

50 alts after pruning (41 fresh and 9 done)

PrunedKeptTotal
New93918957
Fresh52328
Picked235
Done066
Total94650996
Accuracy
100.0%
Counts
996 → 50
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.2%
(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)))))))
51.0%
(fma.f64 (sin.f64 y) (/.f64 (*.f64 z (neg.f64 z)) (+.f64 #s(literal 0 binary64) z)) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
✓99.8%
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
✓78.3%
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
✓99.8%
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
53.1%
(fma.f64 #s(approx (sin y) (fma.f64 (*.f64 y (*.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)) y)) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
53.1%
(fma.f64 #s(approx (sin y) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y)) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
60.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* (sin y) (neg z))) (*.f64 x (cos.f64 y)))))
33.8%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* (sin y) (neg z)))) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
60.1%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* (sin y) (neg z)))) (/.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)))
40.1%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* (sin y) (neg z)))) (/.f64 #s(literal 1 binary64) x)))
53.0%
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x))
27.0%
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 z)) (sin.f64 y)))
60.1%
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* 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)))))) (+ (* 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)))))
7.7%
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (*.f64 y (/.f64 (*.f64 z (neg.f64 z)) (+.f64 #s(literal 0 binary64) z)))))
17.7%
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (*.f64 y (-.f64 (*.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal 2/45 binary64)) (fma.f64 z #s(literal 1/36 binary64) (*.f64 z #s(literal 1/120 binary64))))))) z))))
✓17.6%
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (*.f64 y (neg.f64 z))))
41.3%
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (*.f64 (sin.f64 y) (neg.f64 z)))
87.3%
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))))
93.4%
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (*.f64 x (fma.f64 (neg.f64 (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) x) (cos.f64 y))))
89.3%
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))))
71.9%
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (*.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (/.f64 (sin.f64 y) x)))))
35.0%
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (*.f64 x #s(approx (- (cos y) (* z (/ (sin y) x))) (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x)))))
53.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y #s(approx (+ (* x -1/2) (* (* y z) 1/6)) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z)) x))
38.4%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y #s(approx (+ (* y (+ (* x -1/2) (* (* y z) 1/6))) (neg z)) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) x))
29.4%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
7.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (fma.f64 x (*.f64 y z) (*.f64 (*.f64 y z) (*.f64 y z)))) (-.f64 x (*.f64 y z))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
14.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 (*.f64 x x) (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))) (-.f64 x (*.f64 y z))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
14.9%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
15.0%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (-.f64 x (*.f64 y z))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
15.0%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (*.f64 x (*.f64 x x))) #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x (fma.f64 z y x)))))
15.4%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (*.f64 x (*.f64 x x))) #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x))))
✓53.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
29.3%
#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))))
✓60.6%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
38.4%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #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)))))
38.4%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #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)))))
38.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
✓40.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
43.8%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (fma.f64 (/.f64 z (neg.f64 x)) (*.f64 y x) x)))
47.1%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (+.f64 (/.f64 (*.f64 x (*.f64 y z)) (neg.f64 x)) x)))
51.1%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 (fma.f64 z (/.f64 y (neg.f64 x)) #s(literal 1 binary64)) x)))
49.0%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 z (-.f64 (/.f64 x z) y))))
✓47.2%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 x (fma.f64 y (/.f64 z (neg.f64 x)) #s(literal 1 binary64)))))
51.0%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 x #s(approx (+ (* y (/ z (neg x))) 1) (*.f64 (neg.f64 z) (+.f64 (/.f64 y x) (/.f64 #s(literal -1 binary64) z)))))))
47.1%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 x #s(approx (+ (* y (/ z (neg x))) 1) (*.f64 (neg.f64 y) (+.f64 (/.f64 z x) (/.f64 #s(literal -1 binary64) y)))))))
3.1%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* y (+ (* y (+ (* x -1/2) (* (* y z) 1/6))) (neg z))) x) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y))) z)))
17.7%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* y (+ (* y (+ (* x -1/2) (* (* y z) 1/6))) (neg z))) x) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
38.4%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y)) (*.f64 x #s(literal -1/2 binary64))) x)))
Compiler

Compiled 2 139 to 744 computations (65.2% saved)

regimes123.0ms (1.2%)

Memory
-9.5MiB live, 187.7MiB allocated
Counts
80 → 1
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin 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))) (*.f64 x #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y #s(approx (+ (* y (+ (* x -1/2) (* (* y z) 1/6))) (neg z)) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (-.f64 (/.f64 x z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 z (-.f64 (/.f64 x z) y))))
#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 (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (-.f64 (*.f64 x (*.f64 y #s(literal -1/2 binary64))) z) x))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* y (+ (* y (+ (* x -1/2) (* (* y z) 1/6))) (neg z))) x) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y))) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* y (+ (* y (+ (* x -1/2) (* (* y z) 1/6))) (neg z))) x) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* (sin y) (neg z)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 x (fma.f64 y (/.f64 z (neg.f64 x)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 (fma.f64 z (/.f64 y (neg.f64 x)) #s(literal 1 binary64)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (fma.f64 (/.f64 z (neg.f64 x)) (*.f64 y x) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y #s(approx (+ (* x -1/2) (* (* y z) 1/6)) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (+.f64 (/.f64 (*.f64 x (*.f64 y z)) (neg.f64 x)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (*.f64 x (*.f64 x x))) #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (*.f64 y (/.f64 (*.f64 z (neg.f64 z)) (+.f64 #s(literal 0 binary64) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #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 (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 y (fma.f64 y (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 x #s(literal 1/2 binary64))) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* (sin y) (neg z))) (-.f64 x (*.f64 y z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y)) (*.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (*.f64 x (*.f64 x x))) #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x (fma.f64 z y x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 x #s(approx (+ (* y (/ z (neg x))) 1) (*.f64 (neg.f64 y) (+.f64 (/.f64 z x) (/.f64 #s(literal -1 binary64) y)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 x #s(approx (+ (* y (/ z (neg x))) 1) (*.f64 (neg.f64 z) (+.f64 (/.f64 y x) (/.f64 #s(literal -1 binary64) z)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #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)))))
(fma.f64 #s(approx (sin y) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y)) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#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 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* (sin y) (neg z)))) (fma.f64 y (/.f64 z (*.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 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (-.f64 x (*.f64 y z))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
(fma.f64 #s(approx (sin y) (fma.f64 (*.f64 y (*.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)) y)) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (*.f64 y (-.f64 (*.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal 2/45 binary64)) (fma.f64 z #s(literal 1/36 binary64) (*.f64 z #s(literal 1/120 binary64))))))) 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 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (+.f64 (fma.f64 z #s(literal 2/45 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 z #s(literal -1/6 binary64)))) (*.f64 z #s(literal -1/120 binary64))) (neg.f64 (*.f64 y y)) (*.f64 z #s(literal 1/6 binary64))) (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 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (fma.f64 x (*.f64 y z) (*.f64 (*.f64 y z) (*.f64 y z)))) (-.f64 x (*.f64 y z))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 (*.f64 x x) (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))) (-.f64 x (*.f64 y z))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (*.f64 z (neg.f64 (sin.f64 y))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (*.f64 x #s(approx (- (cos y) (* z (/ (sin y) x))) (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x)))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (*.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (/.f64 (sin.f64 y) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* (sin y) (neg z))) (*.f64 x (cos.f64 y)))))
(fma.f64 (sin.f64 y) (/.f64 (*.f64 z (neg.f64 z)) (+.f64 #s(literal 0 binary64) z)) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
(-.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 (*.f64 z (sin.f64 y)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* 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 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (*.f64 x (fma.f64 (neg.f64 (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) 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)))))) (+ (* 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 (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 z)) (sin.f64 y)))
(fma.f64 (sin.f64 y) (/.f64 (*.f64 z (neg.f64 z)) (+.f64 #s(literal 0 binary64) z)) (*.f64 x (cos.f64 y)))
(/.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 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))))
(/.f64 #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (*.f64 (neg.f64 (*.f64 z z)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 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 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* (sin y) (neg z)))) (/.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))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (-.f64 (/.f64 (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.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)))))
(fma.f64 x (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(fma.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (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))))))))
Outputs
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
Calls

4 calls:

47.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
25.0ms
x
24.0ms
y
23.0ms
z
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes77.0ms (0.7%)

Memory
25.3MiB live, 135.1MiB allocated
Counts
58 → 1
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin 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))) (*.f64 x #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y #s(approx (+ (* y (+ (* x -1/2) (* (* y z) 1/6))) (neg z)) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (-.f64 (/.f64 x z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 z (-.f64 (/.f64 x z) y))))
#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 (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (-.f64 (*.f64 x (*.f64 y #s(literal -1/2 binary64))) z) x))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* y (+ (* y (+ (* x -1/2) (* (* y z) 1/6))) (neg z))) x) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y))) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* y (+ (* y (+ (* x -1/2) (* (* y z) 1/6))) (neg z))) x) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* (sin y) (neg z)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 x (fma.f64 y (/.f64 z (neg.f64 x)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 (fma.f64 z (/.f64 y (neg.f64 x)) #s(literal 1 binary64)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (fma.f64 (/.f64 z (neg.f64 x)) (*.f64 y x) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y #s(approx (+ (* x -1/2) (* (* y z) 1/6)) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (+.f64 (/.f64 (*.f64 x (*.f64 y z)) (neg.f64 x)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (*.f64 x (*.f64 x x))) #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (*.f64 y (/.f64 (*.f64 z (neg.f64 z)) (+.f64 #s(literal 0 binary64) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #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 (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 y (fma.f64 y (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 x #s(literal 1/2 binary64))) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* (sin y) (neg z))) (-.f64 x (*.f64 y z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y)) (*.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (*.f64 x (*.f64 x x))) #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x (fma.f64 z y x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 x #s(approx (+ (* y (/ z (neg x))) 1) (*.f64 (neg.f64 y) (+.f64 (/.f64 z x) (/.f64 #s(literal -1 binary64) y)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 x #s(approx (+ (* y (/ z (neg x))) 1) (*.f64 (neg.f64 z) (+.f64 (/.f64 y x) (/.f64 #s(literal -1 binary64) z)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #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)))))
(fma.f64 #s(approx (sin y) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y)) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#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 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* (sin y) (neg z)))) (fma.f64 y (/.f64 z (*.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 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (-.f64 x (*.f64 y z))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
(fma.f64 #s(approx (sin y) (fma.f64 (*.f64 y (*.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)) y)) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (*.f64 y (-.f64 (*.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal 2/45 binary64)) (fma.f64 z #s(literal 1/36 binary64) (*.f64 z #s(literal 1/120 binary64))))))) 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 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (+.f64 (fma.f64 z #s(literal 2/45 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 z #s(literal -1/6 binary64)))) (*.f64 z #s(literal -1/120 binary64))) (neg.f64 (*.f64 y y)) (*.f64 z #s(literal 1/6 binary64))) (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 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (fma.f64 x (*.f64 y z) (*.f64 (*.f64 y z) (*.f64 y z)))) (-.f64 x (*.f64 y z))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 (*.f64 x x) (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))) (-.f64 x (*.f64 y z))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (*.f64 z (neg.f64 (sin.f64 y))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (*.f64 x #s(approx (- (cos y) (* z (/ (sin y) x))) (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x)))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (*.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (/.f64 (sin.f64 y) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* (sin y) (neg z))) (*.f64 x (cos.f64 y)))))
(fma.f64 (sin.f64 y) (/.f64 (*.f64 z (neg.f64 z)) (+.f64 #s(literal 0 binary64) z)) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
(-.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:

21.0ms
z
18.0ms
x
18.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
16.0ms
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)

regimes77.0ms (0.7%)

Memory
11.2MiB live, 169.4MiB allocated
Counts
57 → 3
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin 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))) (*.f64 x #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y #s(approx (+ (* y (+ (* x -1/2) (* (* y z) 1/6))) (neg z)) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (-.f64 (/.f64 x z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 z (-.f64 (/.f64 x z) y))))
#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 (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (-.f64 (*.f64 x (*.f64 y #s(literal -1/2 binary64))) z) x))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* y (+ (* y (+ (* x -1/2) (* (* y z) 1/6))) (neg z))) x) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y))) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* y (+ (* y (+ (* x -1/2) (* (* y z) 1/6))) (neg z))) x) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* (sin y) (neg z)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 x (fma.f64 y (/.f64 z (neg.f64 x)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 (fma.f64 z (/.f64 y (neg.f64 x)) #s(literal 1 binary64)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (fma.f64 (/.f64 z (neg.f64 x)) (*.f64 y x) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y #s(approx (+ (* x -1/2) (* (* y z) 1/6)) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (+.f64 (/.f64 (*.f64 x (*.f64 y z)) (neg.f64 x)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (*.f64 x (*.f64 x x))) #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (*.f64 y (/.f64 (*.f64 z (neg.f64 z)) (+.f64 #s(literal 0 binary64) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #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 (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 y (fma.f64 y (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 x #s(literal 1/2 binary64))) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* (sin y) (neg z))) (-.f64 x (*.f64 y z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y)) (*.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (*.f64 x (*.f64 x x))) #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x (fma.f64 z y x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 x #s(approx (+ (* y (/ z (neg x))) 1) (*.f64 (neg.f64 y) (+.f64 (/.f64 z x) (/.f64 #s(literal -1 binary64) y)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 x #s(approx (+ (* y (/ z (neg x))) 1) (*.f64 (neg.f64 z) (+.f64 (/.f64 y x) (/.f64 #s(literal -1 binary64) z)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #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)))))
(fma.f64 #s(approx (sin y) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y)) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#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 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* (sin y) (neg z)))) (fma.f64 y (/.f64 z (*.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 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (-.f64 x (*.f64 y z))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
(fma.f64 #s(approx (sin y) (fma.f64 (*.f64 y (*.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)) y)) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (*.f64 y (-.f64 (*.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal 2/45 binary64)) (fma.f64 z #s(literal 1/36 binary64) (*.f64 z #s(literal 1/120 binary64))))))) 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 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (+.f64 (fma.f64 z #s(literal 2/45 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 z #s(literal -1/6 binary64)))) (*.f64 z #s(literal -1/120 binary64))) (neg.f64 (*.f64 y y)) (*.f64 z #s(literal 1/6 binary64))) (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 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (fma.f64 x (*.f64 y z) (*.f64 (*.f64 y z) (*.f64 y z)))) (-.f64 x (*.f64 y z))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 (*.f64 x x) (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))) (-.f64 x (*.f64 y z))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (*.f64 z (neg.f64 (sin.f64 y))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (*.f64 x #s(approx (- (cos y) (* z (/ (sin y) x))) (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x)))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (*.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (/.f64 (sin.f64 y) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* (sin y) (neg z))) (*.f64 x (cos.f64 y)))))
(fma.f64 (sin.f64 y) (/.f64 (*.f64 z (neg.f64 z)) (+.f64 #s(literal 0 binary64) z)) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
Outputs
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 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)))
Calls

4 calls:

20.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
18.0ms
x
18.0ms
z
18.0ms
y
Results
AccuracySegmentsBranch
87.3%3x
80.5%2y
89.8%3z
80.0%2(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes22.0ms (0.2%)

Memory
-14.0MiB live, 40.5MiB allocated
Counts
52 → 3
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin 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))) (*.f64 x #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y #s(approx (+ (* y (+ (* x -1/2) (* (* y z) 1/6))) (neg z)) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (-.f64 (/.f64 x z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 z (-.f64 (/.f64 x z) y))))
#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 (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (-.f64 (*.f64 x (*.f64 y #s(literal -1/2 binary64))) z) x))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* y (+ (* y (+ (* x -1/2) (* (* y z) 1/6))) (neg z))) x) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y))) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* y (+ (* y (+ (* x -1/2) (* (* y z) 1/6))) (neg z))) x) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* (sin y) (neg z)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 x (fma.f64 y (/.f64 z (neg.f64 x)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 (fma.f64 z (/.f64 y (neg.f64 x)) #s(literal 1 binary64)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (fma.f64 (/.f64 z (neg.f64 x)) (*.f64 y x) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y #s(approx (+ (* x -1/2) (* (* y z) 1/6)) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (+.f64 (/.f64 (*.f64 x (*.f64 y z)) (neg.f64 x)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (*.f64 x (*.f64 x x))) #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (*.f64 y (/.f64 (*.f64 z (neg.f64 z)) (+.f64 #s(literal 0 binary64) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #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 (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 y (fma.f64 y (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 x #s(literal 1/2 binary64))) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* (sin y) (neg z))) (-.f64 x (*.f64 y z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y)) (*.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (*.f64 x (*.f64 x x))) #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x (fma.f64 z y x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 x #s(approx (+ (* y (/ z (neg x))) 1) (*.f64 (neg.f64 y) (+.f64 (/.f64 z x) (/.f64 #s(literal -1 binary64) y)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 x #s(approx (+ (* y (/ z (neg x))) 1) (*.f64 (neg.f64 z) (+.f64 (/.f64 y x) (/.f64 #s(literal -1 binary64) z)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #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)))))
(fma.f64 #s(approx (sin y) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y)) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#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 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* (sin y) (neg z)))) (fma.f64 y (/.f64 z (*.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 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (-.f64 x (*.f64 y z))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
(fma.f64 #s(approx (sin y) (fma.f64 (*.f64 y (*.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)) y)) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (*.f64 y (-.f64 (*.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal 2/45 binary64)) (fma.f64 z #s(literal 1/36 binary64) (*.f64 z #s(literal 1/120 binary64))))))) 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 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (+.f64 (fma.f64 z #s(literal 2/45 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 z #s(literal -1/6 binary64)))) (*.f64 z #s(literal -1/120 binary64))) (neg.f64 (*.f64 y y)) (*.f64 z #s(literal 1/6 binary64))) (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 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (fma.f64 x (*.f64 y z) (*.f64 (*.f64 y z) (*.f64 y z)))) (-.f64 x (*.f64 y z))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 (*.f64 x x) (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))) (-.f64 x (*.f64 y z))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (*.f64 z (neg.f64 (sin.f64 y))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
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

1 calls:

15.0ms
z
Results
AccuracySegmentsBranch
89.8%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes84.0ms (0.8%)

Memory
-24.7MiB live, 132.5MiB allocated
Counts
51 → 4
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin 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))) (*.f64 x #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y #s(approx (+ (* y (+ (* x -1/2) (* (* y z) 1/6))) (neg z)) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (-.f64 (/.f64 x z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 z (-.f64 (/.f64 x z) y))))
#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 (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (-.f64 (*.f64 x (*.f64 y #s(literal -1/2 binary64))) z) x))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* y (+ (* y (+ (* x -1/2) (* (* y z) 1/6))) (neg z))) x) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y))) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* y (+ (* y (+ (* x -1/2) (* (* y z) 1/6))) (neg z))) x) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* (sin y) (neg z)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 x (fma.f64 y (/.f64 z (neg.f64 x)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 (fma.f64 z (/.f64 y (neg.f64 x)) #s(literal 1 binary64)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (fma.f64 (/.f64 z (neg.f64 x)) (*.f64 y x) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y #s(approx (+ (* x -1/2) (* (* y z) 1/6)) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (+.f64 (/.f64 (*.f64 x (*.f64 y z)) (neg.f64 x)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (*.f64 x (*.f64 x x))) #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (*.f64 y (/.f64 (*.f64 z (neg.f64 z)) (+.f64 #s(literal 0 binary64) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #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 (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 y (fma.f64 y (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 x #s(literal 1/2 binary64))) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* (sin y) (neg z))) (-.f64 x (*.f64 y z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y)) (*.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (*.f64 x (*.f64 x x))) #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x (fma.f64 z y x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 x #s(approx (+ (* y (/ z (neg x))) 1) (*.f64 (neg.f64 y) (+.f64 (/.f64 z x) (/.f64 #s(literal -1 binary64) y)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 x #s(approx (+ (* y (/ z (neg x))) 1) (*.f64 (neg.f64 z) (+.f64 (/.f64 y x) (/.f64 #s(literal -1 binary64) z)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #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)))))
(fma.f64 #s(approx (sin y) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y)) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#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 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* (sin y) (neg z)))) (fma.f64 y (/.f64 z (*.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 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (-.f64 x (*.f64 y z))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
(fma.f64 #s(approx (sin y) (fma.f64 (*.f64 y (*.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)) y)) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (*.f64 y (-.f64 (*.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal 2/45 binary64)) (fma.f64 z #s(literal 1/36 binary64) (*.f64 z #s(literal 1/120 binary64))))))) 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 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (+.f64 (fma.f64 z #s(literal 2/45 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 z #s(literal -1/6 binary64)))) (*.f64 z #s(literal -1/120 binary64))) (neg.f64 (*.f64 y y)) (*.f64 z #s(literal 1/6 binary64))) (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 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (fma.f64 x (*.f64 y z) (*.f64 (*.f64 y z) (*.f64 y z)))) (-.f64 x (*.f64 y z))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 (*.f64 x x) (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))) (-.f64 x (*.f64 y z))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (*.f64 z (neg.f64 (sin.f64 y))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (*.f64 (sin.f64 y) (neg.f64 z)))
Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
(fma.f64 #s(approx (sin y) (fma.f64 (*.f64 y (*.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)) y)) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
Calls

4 calls:

32.0ms
x
17.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
16.0ms
y
14.0ms
z
Results
AccuracySegmentsBranch
64.0%3(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
79.9%4y
75.2%3x
74.5%3z
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes32.0ms (0.3%)

Memory
25.3MiB live, 63.5MiB allocated
Counts
48 → 3
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin 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))) (*.f64 x #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y #s(approx (+ (* y (+ (* x -1/2) (* (* y z) 1/6))) (neg z)) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (-.f64 (/.f64 x z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 z (-.f64 (/.f64 x z) y))))
#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 (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (-.f64 (*.f64 x (*.f64 y #s(literal -1/2 binary64))) z) x))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* y (+ (* y (+ (* x -1/2) (* (* y z) 1/6))) (neg z))) x) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y))) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* y (+ (* y (+ (* x -1/2) (* (* y z) 1/6))) (neg z))) x) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* (sin y) (neg z)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 x (fma.f64 y (/.f64 z (neg.f64 x)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 (fma.f64 z (/.f64 y (neg.f64 x)) #s(literal 1 binary64)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (fma.f64 (/.f64 z (neg.f64 x)) (*.f64 y x) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y #s(approx (+ (* x -1/2) (* (* y z) 1/6)) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (+.f64 (/.f64 (*.f64 x (*.f64 y z)) (neg.f64 x)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (*.f64 x (*.f64 x x))) #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (*.f64 y (/.f64 (*.f64 z (neg.f64 z)) (+.f64 #s(literal 0 binary64) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #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 (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 y (fma.f64 y (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 x #s(literal 1/2 binary64))) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* (sin y) (neg z))) (-.f64 x (*.f64 y z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y)) (*.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (*.f64 x (*.f64 x x))) #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x (fma.f64 z y x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 x #s(approx (+ (* y (/ z (neg x))) 1) (*.f64 (neg.f64 y) (+.f64 (/.f64 z x) (/.f64 #s(literal -1 binary64) y)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 x #s(approx (+ (* y (/ z (neg x))) 1) (*.f64 (neg.f64 z) (+.f64 (/.f64 y x) (/.f64 #s(literal -1 binary64) z)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #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)))))
(fma.f64 #s(approx (sin y) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y)) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#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 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* (sin y) (neg z)))) (fma.f64 y (/.f64 z (*.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 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (-.f64 x (*.f64 y z))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
(fma.f64 #s(approx (sin y) (fma.f64 (*.f64 y (*.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)) y)) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (*.f64 y (-.f64 (*.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal 2/45 binary64)) (fma.f64 z #s(literal 1/36 binary64) (*.f64 z #s(literal 1/120 binary64))))))) 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 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (+.f64 (fma.f64 z #s(literal 2/45 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 z #s(literal -1/6 binary64)))) (*.f64 z #s(literal -1/120 binary64))) (neg.f64 (*.f64 y y)) (*.f64 z #s(literal 1/6 binary64))) (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 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (fma.f64 x (*.f64 y z) (*.f64 (*.f64 y z) (*.f64 y z)))) (-.f64 x (*.f64 y z))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 (*.f64 x x) (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))) (-.f64 x (*.f64 y z))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
(fma.f64 #s(approx (sin y) (fma.f64 (*.f64 y (*.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)) y)) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
Calls

2 calls:

15.0ms
y
13.0ms
x
Results
AccuracySegmentsBranch
69.0%3x
75.2%3y
Compiler

Compiled 8 to 6 computations (25% saved)

regimes118.0ms (1.2%)

Memory
-7.2MiB live, 112.9MiB allocated
Counts
47 → 1
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin 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))) (*.f64 x #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y #s(approx (+ (* y (+ (* x -1/2) (* (* y z) 1/6))) (neg z)) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (-.f64 (/.f64 x z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 z (-.f64 (/.f64 x z) y))))
#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 (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (-.f64 (*.f64 x (*.f64 y #s(literal -1/2 binary64))) z) x))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* y (+ (* y (+ (* x -1/2) (* (* y z) 1/6))) (neg z))) x) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y))) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* y (+ (* y (+ (* x -1/2) (* (* y z) 1/6))) (neg z))) x) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* (sin y) (neg z)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 x (fma.f64 y (/.f64 z (neg.f64 x)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 (fma.f64 z (/.f64 y (neg.f64 x)) #s(literal 1 binary64)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (fma.f64 (/.f64 z (neg.f64 x)) (*.f64 y x) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y #s(approx (+ (* x -1/2) (* (* y z) 1/6)) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (+.f64 (/.f64 (*.f64 x (*.f64 y z)) (neg.f64 x)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (*.f64 x (*.f64 x x))) #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (*.f64 y (/.f64 (*.f64 z (neg.f64 z)) (+.f64 #s(literal 0 binary64) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #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 (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 y (fma.f64 y (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 x #s(literal 1/2 binary64))) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* (sin y) (neg z))) (-.f64 x (*.f64 y z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y)) (*.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (*.f64 x (*.f64 x x))) #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x (fma.f64 z y x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 x #s(approx (+ (* y (/ z (neg x))) 1) (*.f64 (neg.f64 y) (+.f64 (/.f64 z x) (/.f64 #s(literal -1 binary64) y)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 x #s(approx (+ (* y (/ z (neg x))) 1) (*.f64 (neg.f64 z) (+.f64 (/.f64 y x) (/.f64 #s(literal -1 binary64) z)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #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)))))
(fma.f64 #s(approx (sin y) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y)) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#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 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* (sin y) (neg z)))) (fma.f64 y (/.f64 z (*.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 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (-.f64 x (*.f64 y z))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
(fma.f64 #s(approx (sin y) (fma.f64 (*.f64 y (*.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)) y)) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (*.f64 y (-.f64 (*.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal 2/45 binary64)) (fma.f64 z #s(literal 1/36 binary64) (*.f64 z #s(literal 1/120 binary64))))))) 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 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (+.f64 (fma.f64 z #s(literal 2/45 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 z #s(literal -1/6 binary64)))) (*.f64 z #s(literal -1/120 binary64))) (neg.f64 (*.f64 y y)) (*.f64 z #s(literal 1/6 binary64))) (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 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (fma.f64 x (*.f64 y z) (*.f64 (*.f64 y z) (*.f64 y z)))) (-.f64 x (*.f64 y z))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 (*.f64 x x) (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))) (-.f64 x (*.f64 y z))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
Calls

4 calls:

71.0ms
y
16.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
15.0ms
z
13.0ms
x
Results
AccuracySegmentsBranch
53.7%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
53.7%1x
53.7%1z
53.7%1y
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes10.0ms (0.1%)

Memory
-13.1MiB live, 25.4MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (*.f64 y (neg.f64 z))))
Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))
Calls

4 calls:

3.0ms
z
2.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
44.6%3x
45.1%3z
40.2%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
40.2%1y
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes4.0ms (0%)

Memory
12.5MiB live, 12.5MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
1.0ms
z
1.0ms
x
Results
AccuracySegmentsBranch
40.2%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
40.2%1x
40.2%1z
Compiler

Compiled 20 to 14 computations (30% saved)

bsearch58.0ms (0.6%)

Memory
4.7MiB live, 81.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
35.0ms
2.8754432187676467e-139
1.5065169595240742e-130
20.0ms
-2.503256744009873e-119
-1.4599320715084254e-124
Samples
45.0ms288×0valid
Compiler

Compiled 411 to 284 computations (30.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-cos: 26.0ms (69.7% of total)
ival-sin: 6.0ms (16.1% of total)
ival-mult: 4.0ms (10.7% of total)
ival-sub: 1.0ms (2.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
3.4MiB live, 3.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
2.8754432187676467e-139
1.5065169595240742e-130
1.0ms
-2.503256744009873e-119
-1.4599320715084254e-124
Compiler

Compiled 411 to 284 computations (30.9% saved)

bsearch105.0ms (1%)

Memory
-7.6MiB live, 200.0MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
21.0ms
1.7969924539877242e-26
3.323367369916194e-7
28.0ms
-9.642728548622436e+38
-26773219588.29545
52.0ms
-1.2676463921337993e+118
-8.90479990163672e+112
Samples
80.0ms496×0valid
Compiler

Compiled 1 055 to 626 computations (40.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-sin: 42.0ms (62% of total)
ival-cos: 16.0ms (23.6% of total)
ival-mult: 7.0ms (10.3% of total)
ival-sub: 2.0ms (3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch28.0ms (0.3%)

Memory
-16.1MiB live, 61.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
1.7969924539877242e-26
3.323367369916194e-7
25.0ms
-2673609859.6620193
-0.010404926586582026
Samples
19.0ms160×0valid
Compiler

Compiled 834 to 476 computations (42.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-cos: 5.0ms (40.8% of total)
ival-sin: 4.0ms (32.6% of total)
ival-mult: 2.0ms (16.3% of total)
ival-sub: 1.0ms (8.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch29.0ms (0.3%)

Memory
13.3MiB live, 49.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
19.0ms
1.8831522928715777e+217
1.0411435886413583e+222
8.0ms
-4.333462602927964e+237
-2.5774872577744664e+237
Samples
20.0ms192×0valid
Compiler

Compiled 243 to 158 computations (35% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-cos: 8.0ms (53.5% of total)
ival-sin: 4.0ms (26.8% of total)
ival-mult: 2.0ms (13.4% of total)
ival-sub: 1.0ms (6.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify17.0ms (0.2%)

Memory
-15.0MiB live, 25.0MiB allocated
Algorithm
1×egg-herbie
Rules
22×*-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
067352
193352
2113352
3121352
4125352
5126352
Stop Event
1×saturated
Calls
Call 1
Inputs
(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 -1548108335651699/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (if (<=.f64 z #s(literal 3621228318366551/24973988402527937851052777838345330445988785141319769206873255677002973910558124960962448824507935769278615448971252983163583805434306282450321408 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 -1548108335651699/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976 binary64)) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 3621228318366551/24973988402527937851052777838345330445988785141319769206873255677002973910558124960962448824507935769278615448971252983163583805434306282450321408 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 -299999999999999987169819040575957512300442602135347507185575726983550642943261859699871623379506848514756468075921408 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal -27000000000 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y)))) (if (<=.f64 y #s(literal 1558380939346983/4722366482869645213696 binary64)) (fma.f64 #s(approx (sin y) (fma.f64 (*.f64 y (*.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)) y)) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))))))
(if (<=.f64 y #s(literal -3/2 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 1558380939346983/4722366482869645213696 binary64)) (fma.f64 #s(approx (sin y) (fma.f64 (*.f64 y (*.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)) y)) (neg.f64 z) (*.f64 x #s(approx (cos 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))) (-.f64 x (*.f64 z y)))
(if (<=.f64 z #s(literal -2799999999999999832575291680126657641389300154150307577188314308995606861700790109864892201123573385069322919441743725569065188830847406334678131588145926951301821800715618663516767945389387800611137740205366353758322078930233157721522176 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z)))) (if (<=.f64 z #s(literal 19999999999999999203710111496503539612900094584489084752976236251379344503312719734017529007804987593656193384146066220878431578296418582937435957034940955208676500285654445083383444294643727169939482492775850179559424 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
Outputs
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(if (<=.f64 z #s(literal -1548108335651699/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (if (<=.f64 z #s(literal 3621228318366551/24973988402527937851052777838345330445988785141319769206873255677002973910558124960962448824507935769278615448971252983163583805434306282450321408 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 -1548108335651699/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (if (<=.f64 z #s(literal 3621228318366551/24973988402527937851052777838345330445988785141319769206873255677002973910558124960962448824507935769278615448971252983163583805434306282450321408 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -1548108335651699/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976 binary64)) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 3621228318366551/24973988402527937851052777838345330445988785141319769206873255677002973910558124960962448824507935769278615448971252983163583805434306282450321408 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 -1548108335651699/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976 binary64)) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 3621228318366551/24973988402527937851052777838345330445988785141319769206873255677002973910558124960962448824507935769278615448971252983163583805434306282450321408 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 y #s(literal -299999999999999987169819040575957512300442602135347507185575726983550642943261859699871623379506848514756468075921408 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal -27000000000 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y)))) (if (<=.f64 y #s(literal 1558380939346983/4722366482869645213696 binary64)) (fma.f64 #s(approx (sin y) (fma.f64 (*.f64 y (*.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)) y)) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))))))
(if (<=.f64 y #s(literal -299999999999999987169819040575957512300442602135347507185575726983550642943261859699871623379506848514756468075921408 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal -27000000000 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) (if (<=.f64 y #s(literal 1558380939346983/4722366482869645213696 binary64)) (fma.f64 #s(approx (sin y) (fma.f64 (*.f64 y (*.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)) y)) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)))))
(if (<=.f64 y #s(literal -3/2 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 1558380939346983/4722366482869645213696 binary64)) (fma.f64 #s(approx (sin y) (fma.f64 (*.f64 y (*.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)) y)) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
(if (<=.f64 y #s(literal -3/2 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 1558380939346983/4722366482869645213696 binary64)) (fma.f64 #s(approx (sin y) (fma.f64 (*.f64 y (*.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)) y)) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 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 -2799999999999999832575291680126657641389300154150307577188314308995606861700790109864892201123573385069322919441743725569065188830847406334678131588145926951301821800715618663516767945389387800611137740205366353758322078930233157721522176 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z)))) (if (<=.f64 z #s(literal 19999999999999999203710111496503539612900094584489084752976236251379344503312719734017529007804987593656193384146066220878431578296418582937435957034940955208676500285654445083383444294643727169939482492775850179559424 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))

soundness1.0s (10%)

Memory
10.0MiB live, 653.6MiB allocated
Rules
12 262×lower-fma.f64
12 262×lower-fma.f32
12 044×lower-fma.f64
12 044×lower-fma.f32
10 986×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07487463
125897008
083636735
097624
1292619
2837613
32075607
43601607
56258607
08452586
04665165
115695014
256304940
087964690
0819
01319
13319
221019
3196419
0837919
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 445 to 197 computations (55.7% saved)

preprocess81.0ms (0.8%)

Memory
-8.6MiB live, 104.9MiB allocated
Compiler

Compiled 458 to 120 computations (73.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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