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

Time bar (total: 10.2s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.4s (13.3%)

Memory
25.2MiB live, 1 591.3MiB allocated
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 776.0ms
ival-cos: 259.0ms (33.4% of total)
ival-mult: 227.0ms (29.3% of total)
ival-sin: 222.0ms (28.6% of total)
ival-sub: 59.0ms (7.6% of total)
ival-true: 6.0ms (0.8% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain101.0ms (1%)

Memory
32.4MiB live, 194.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
00-0-(sin.f64 y)
00-0-y
00-0-(*.f64 x (cos.f64 y))
00-0-z
00-0-(cos.f64 y)
00-0-x
00-0-(*.f64 z (sin.f64 y))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
50.0ms512×0valid
Compiler

Compiled 64 to 28 computations (56.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-sin: 13.0ms (37.6% of total)
ival-cos: 11.0ms (31.8% of total)
ival-mult: 8.0ms (23.1% of total)
ival-sub: 2.0ms (5.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess78.0ms (0.8%)

Memory
-39.5MiB live, 48.9MiB allocated
Algorithm
egg-herbie
Rules
208×lower-fma.f64
208×lower-fma.f32
178×distribute-lft-neg-in
166×associate-*r*
148×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 12 to 8 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
0.6MiB live, 0.6MiB 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)

simplify12.0ms (0.1%)

Memory
11.2MiB live, 11.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize48.0ms (0.5%)

Memory
-8.9MiB live, 64.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(cos.f64 y)
accuracy0.01171875
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
accuracy0.109375
(*.f64 x (cos.f64 y))
accuracy0.1171875
(*.f64 z (sin.f64 y))
Samples
37.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-cos: 19.0ms (65.5% of total)
ival-sin: 5.0ms (17.2% of total)
ival-mult: 3.0ms (10.3% of total)
ival-sub: 1.0ms (3.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
23.9MiB live, 23.9MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())
#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())
#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())
Outputs
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor inf z) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ (* x (cos y)) z) (sin y))) (taylor inf z) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ (* x (cos y)) z) (sin y))) (taylor inf z) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ (* x (cos y)) z) (sin y))) (taylor inf z) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor -inf z) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) (taylor -inf z) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) (taylor -inf z) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) (taylor -inf z) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y z))) (taylor 0 y) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* -1/2 (* x y)) z))) (taylor 0 y) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) (taylor 0 y) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/2 (* x (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) (taylor 0 y) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) (taylor 0 y) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow y 2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ z (* -1/6 (* (pow y 2) z)))) (taylor 0 y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) (taylor 0 y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) (taylor 0 y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (- (* x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (- (* x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (- (* x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (- (* x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor inf y) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor inf y) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor inf y) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor inf y) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (- (* x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (- (* x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (- (* x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (- (* x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf y) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf y) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf y) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf y) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor 0 x) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (- (* x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (- (* x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (- (* x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor inf x) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) (taylor inf x) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) (taylor inf x) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) (taylor inf x) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
Calls

9 calls:

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

simplify166.0ms (1.6%)

Memory
17.2MiB live, 198.2MiB allocated
Algorithm
egg-herbie
Rules
12 044×lower-fma.f64
12 044×lower-fma.f32
4 682×lower-*.f64
4 682×lower-*.f32
1 796×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097624
1292619
2840613
32068607
43600607
56269607
08467586
Stop Event
iter limit
node limit
Counts
96 → 94
Calls
Call 1
Inputs
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin 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)))
(* z (sin y))
(* z (sin y))
(* z (sin 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)))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
x
(+ 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))))))
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)))
(* 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)))))))
(- (* 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))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(cos y)
(cos y)
(cos y)
(cos y)
(* z (sin y))
(* z (sin y))
(* z (sin 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))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(cos y)
(cos y)
(cos y)
(cos 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))
(* x (cos 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))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* 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))
(* x (cos y))
(* x (cos y))
(* x (cos y))
Outputs
(* x (cos y))
(*.f64 (cos.f64 y) x)
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* -1 (* z (sin y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(* z (- (/ (* x (cos y)) z) (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* z (- (/ (* x (cos y)) z) (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* z (- (/ (* x (cos y)) z) (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* -1 (* z (sin y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ x (* y (- (* -1/2 (* x y)) z)))
(fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)
x
(+ x (* -1/2 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* y z)
(*.f64 z y)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) y)
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(*.f64 (fma.f64 (*.f64 z (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)
(- (* x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(- (* x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* -1 (* z (sin y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)

rewrite250.0ms (2.4%)

Memory
-3.0MiB live, 312.5MiB 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
iter limit
node limit
iter limit
Counts
4 → 231
Calls
Call 1
Inputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
(cos.f64 y)
(*.f64 z (sin.f64 y))
Outputs
(*.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 9 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (sin.f64 y) z) x) (cos.f64 y)) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)))))
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(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))
(cos.f64 y)
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (sin.f64 y))))
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 z)))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (sin.f64 y) #s(literal 1 binary64)))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))

eval110.0ms (1.1%)

Memory
-23.3MiB live, 127.1MiB allocated
Compiler

Compiled 15 516 to 719 computations (95.4% saved)

prune67.0ms (0.7%)

Memory
14.5MiB live, 131.7MiB allocated
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New30916325
Fresh000
Picked101
Done000
Total31016326
Accuracy
100.0%
Counts
326 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.7%
(fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (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 (sin.f64 y) z (*.f64 (cos.f64 y) x))))))
56.7%
(fma.f64 (*.f64 (neg.f64 (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x))
99.8%
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
67.7%
(fma.f64 x (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (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 (sin.f64 y) z (*.f64 (cos.f64 y) x))))))
42.8%
(/.f64 (fma.f64 (neg.f64 (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
24.1%
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)))) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z))) #s(literal 2 binary64)))
20.7%
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)))) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z))) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))))
99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))
74.6%
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
53.7%
(-.f64 #s(approx (* x (cos y)) (fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) x)) (*.f64 z (sin.f64 y)))
42.8%
(*.f64 (fma.f64 (neg.f64 (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))
51.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))
51.5%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x))
52.5%
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
39.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
62.8%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
Compiler

Compiled 1 092 to 450 computations (58.8% saved)

simplify172.0ms (1.7%)

Memory
0.9MiB live, 191.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (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 (sin.f64 y) z (*.f64 (cos.f64 y) x))))))
cost-diff128
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
cost-diff128
(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 (sin.f64 y) z (*.f64 (cos.f64 y) x)))))
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-diff128
(*.f64 (neg.f64 (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
cost-diff192
(+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))
cost-diff960
(fma.f64 (*.f64 (neg.f64 (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x))
cost-diff0
(sin.f64 y)
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 (neg.f64 z) (sin.f64 y))
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
cost-diff0
(*.f64 z y)
cost-diff0
(-.f64 x (*.f64 z y))
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 (neg.f64 z) (sin.f64 y))
cost-diff0
(cos.f64 y)
cost-diff0
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
Rules
8 626×lower-fma.f32
8 618×lower-fma.f64
2 872×lower-*.f32
2 854×lower-*.f64
1 564×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040344
069338
1132337
2304333
31150329
43776328
56837328
08176318
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(cos.f64 y)
y
x
(*.f64 (neg.f64 z) (sin.f64 y))
(neg.f64 z)
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 (neg.f64 z) (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(neg.f64 z)
z
(sin.f64 y)
y
(fma.f64 (*.f64 (neg.f64 (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x))
(*.f64 (neg.f64 (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
(neg.f64 (*.f64 z z))
(*.f64 z z)
z
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))
(cos.f64 (+.f64 y y))
(+.f64 y y)
y
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))
#s(literal 1 binary64)
(+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))
#s(literal 0 binary64)
(*.f64 (sin.f64 y) z)
(sin.f64 y)
(*.f64 (cos.f64 y) x)
(cos.f64 y)
x
(fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (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 (sin.f64 y) z (*.f64 (cos.f64 y) x))))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x)
(+.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
x
(/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(sin.f64 y)
z
(*.f64 (cos.f64 y) x)
(cos.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 (sin.f64 y) z (*.f64 (cos.f64 y) x)))))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(/.f64 (*.f64 z z) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
(*.f64 z z)
Outputs
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(cos.f64 y)
y
x
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (sin.f64 y) (neg.f64 z))
(neg.f64 z)
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 (neg.f64 z) y x))
(-.f64 x (*.f64 z y))
(fma.f64 (neg.f64 z) y x)
x
(*.f64 z y)
z
y
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z)))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (sin.f64 y) (neg.f64 z))
(neg.f64 z)
z
(sin.f64 y)
y
(fma.f64 (*.f64 (neg.f64 (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x))
(fma.f64 (/.f64 z (sin.f64 y)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 x (cos.f64 y)))
(*.f64 (neg.f64 (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
(*.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) z) z)
(neg.f64 (*.f64 z z))
(*.f64 (neg.f64 z) z)
(*.f64 z z)
z
(-.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))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))
(*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
(cos.f64 (+.f64 y y))
(+.f64 y y)
y
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))
#s(literal 1 binary64)
(+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))
(*.f64 (sin.f64 y) z)
#s(literal 0 binary64)
(*.f64 (sin.f64 y) z)
(sin.f64 y)
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(cos.f64 y)
x
(fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (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 (sin.f64 y) z (*.f64 (cos.f64 y) x))))))
(fma.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (*.f64 z z) (*.f64 (*.f64 (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x)
(*.f64 (fma.f64 (cos.f64 (+.f64 y y)) x x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))
(*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
(cos.f64 (+.f64 y y))
(+.f64 y y)
y
x
(/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
(/.f64 x (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(sin.f64 y)
z
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(cos.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 (sin.f64 y) z (*.f64 (cos.f64 y) x)))))
(*.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (*.f64 z z))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))
(*.f64 (*.f64 (/.f64 z (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
(/.f64 (*.f64 z z) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
(*.f64 (/.f64 z (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) z)
(*.f64 z z)

localize237.0ms (2.3%)

Memory
-6.5MiB live, 390.1MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.34272516425291405
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
accuracy7.719956898401872
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))
accuracy13.022456588453757
(/.f64 (*.f64 z z) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
accuracy15.564141523920235
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
accuracy0.24609375
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))
accuracy7.576133309987632
(*.f64 (neg.f64 (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
accuracy15.564141523920235
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
accuracy17.489976672039997
(fma.f64 (*.f64 (neg.f64 (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x))
accuracy0
(sin.f64 y)
accuracy0
(neg.f64 z)
accuracy0.1171875
(*.f64 (neg.f64 z) (sin.f64 y))
accuracy38.9155842236215
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
accuracy0
(*.f64 z y)
accuracy0.0078125
(-.f64 x (*.f64 z y))
accuracy30.416658740784417
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
accuracy0
(neg.f64 z)
accuracy0
(cos.f64 y)
accuracy0.07421875
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
accuracy0.1171875
(*.f64 (neg.f64 z) (sin.f64 y))
Samples
113.0ms96×1valid
50.0ms130×0valid
34.0ms30×2valid
Compiler

Compiled 344 to 40 computations (88.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 160.0ms
ival-cos: 43.0ms (26.9% of total)
ival-mult: 40.0ms (25% of total)
adjust: 21.0ms (13.1% of total)
ival-sin: 18.0ms (11.2% of total)
ival-add: 16.0ms (10% of total)
ival-div: 10.0ms (6.2% of total)
ival-neg: 6.0ms (3.7% of total)
ival-sub: 5.0ms (3.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series123.0ms (1.2%)

Memory
7.0MiB live, 162.1MiB allocated
Counts
19 → 504
Calls
Call 1
Inputs
#s(alt (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) (patch (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) #<representation binary64>) () ())
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 z) (sin.f64 y)) (patch (*.f64 (neg.f64 z) (sin.f64 y)) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) #<representation binary64>) () ())
#s(alt (-.f64 x (*.f64 z y)) (patch (-.f64 x (*.f64 z y)) #<representation binary64>) () ())
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())
#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (neg.f64 (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) (patch (fma.f64 (*.f64 (neg.f64 (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) (patch (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (patch (*.f64 (neg.f64 (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (patch (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (patch (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #<representation binary64>) () ())
#s(alt (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 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) (patch (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 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (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 (sin.f64 y) z (*.f64 (cos.f64 y) x)))))) (patch (fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (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 (sin.f64 y) z (*.f64 (cos.f64 y) x)))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 z z) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (patch (/.f64 (*.f64 z z) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) (patch (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) #<representation binary64>) () ())
Outputs
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) (patch (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) (patch (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) (patch (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) (patch (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) (sin.f64 y)) (patch (*.f64 (neg.f64 z) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) (sin.f64 y)) (patch (*.f64 (neg.f64 z) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) (sin.f64 y)) (patch (*.f64 (neg.f64 z) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) (sin.f64 y)) (patch (*.f64 (neg.f64 z) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (-.f64 x (*.f64 z y)) (patch (-.f64 x (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y z))) (taylor 0 z) (#s(alt (-.f64 x (*.f64 z y)) (patch (-.f64 x (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y z))) (taylor 0 z) (#s(alt (-.f64 x (*.f64 z y)) (patch (-.f64 x (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y z))) (taylor 0 z) (#s(alt (-.f64 x (*.f64 z y)) (patch (-.f64 x (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (neg.f64 (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) (patch (fma.f64 (*.f64 (neg.f64 (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (neg.f64 (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) (patch (fma.f64 (*.f64 (neg.f64 (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (neg.f64 (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) (patch (fma.f64 (*.f64 (neg.f64 (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (neg.f64 (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) (patch (fma.f64 (*.f64 (neg.f64 (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) (patch (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) (patch (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) (patch (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) (patch (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (taylor 0 z) (#s(alt (*.f64 (neg.f64 (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (patch (*.f64 (neg.f64 (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (taylor 0 z) (#s(alt (*.f64 (neg.f64 (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (patch (*.f64 (neg.f64 (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (taylor 0 z) (#s(alt (*.f64 (neg.f64 (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (patch (*.f64 (neg.f64 (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (taylor 0 z) (#s(alt (*.f64 (neg.f64 (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (patch (*.f64 (neg.f64 (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (* 1/2 (/ 1 (* x (cos y)))))) (taylor 0 z) (#s(alt (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 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) (patch (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 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (/ (* z (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 2)))) (* 1/2 (/ 1 (* x (cos y)))))) (taylor 0 z) (#s(alt (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 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) (patch (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 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (* z (+ (* -1 (/ (* z (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 3)))) (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2)))))) (* 1/2 (/ 1 (* x (cos y)))))) (taylor 0 z) (#s(alt (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 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) (patch (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 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) #<representation binary64>) () ())) ())
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#s(alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) (patch (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) x)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) (patch (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 3))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x))) x)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) (patch (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 4))) (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x))) x)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) (patch (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
34.0ms
y
@inf
((+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (* (neg z) (sin y)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (sin y) (+ (* (* (neg (* z z)) (- 1/2 (* 1/2 (cos (+ y y))))) (/ 1 (+ 0 (* (sin y) z)))) (* (cos y) x)) (+ 0 (* (sin y) z)) (* (neg (* z z)) (- 1/2 (* 1/2 (cos (+ y y))))) (- 1/2 (* 1/2 (cos (+ y y)))) (+ 1/2 (* 1/2 (cos (+ y y)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x))))) (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (/ 1 (+ 0 (* (sin y) z))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))
15.0ms
x
@-inf
((+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (* (neg z) (sin y)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (sin y) (+ (* (* (neg (* z z)) (- 1/2 (* 1/2 (cos (+ y y))))) (/ 1 (+ 0 (* (sin y) z)))) (* (cos y) x)) (+ 0 (* (sin y) z)) (* (neg (* z z)) (- 1/2 (* 1/2 (cos (+ y y))))) (- 1/2 (* 1/2 (cos (+ y y)))) (+ 1/2 (* 1/2 (cos (+ y y)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x))))) (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (/ 1 (+ 0 (* (sin y) z))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))
11.0ms
x
@inf
((+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (* (neg z) (sin y)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (sin y) (+ (* (* (neg (* z z)) (- 1/2 (* 1/2 (cos (+ y y))))) (/ 1 (+ 0 (* (sin y) z)))) (* (cos y) x)) (+ 0 (* (sin y) z)) (* (neg (* z z)) (- 1/2 (* 1/2 (cos (+ y y))))) (- 1/2 (* 1/2 (cos (+ y y)))) (+ 1/2 (* 1/2 (cos (+ y y)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x))))) (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (/ 1 (+ 0 (* (sin y) z))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))
9.0ms
z
@inf
((+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (* (neg z) (sin y)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (sin y) (+ (* (* (neg (* z z)) (- 1/2 (* 1/2 (cos (+ y y))))) (/ 1 (+ 0 (* (sin y) z)))) (* (cos y) x)) (+ 0 (* (sin y) z)) (* (neg (* z z)) (- 1/2 (* 1/2 (cos (+ y y))))) (- 1/2 (* 1/2 (cos (+ y y)))) (+ 1/2 (* 1/2 (cos (+ y y)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x))))) (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (/ 1 (+ 0 (* (sin y) z))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))
7.0ms
y
@0
((+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (* (neg z) (sin y)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (sin y) (+ (* (* (neg (* z z)) (- 1/2 (* 1/2 (cos (+ y y))))) (/ 1 (+ 0 (* (sin y) z)))) (* (cos y) x)) (+ 0 (* (sin y) z)) (* (neg (* z z)) (- 1/2 (* 1/2 (cos (+ y y))))) (- 1/2 (* 1/2 (cos (+ y y)))) (+ 1/2 (* 1/2 (cos (+ y y)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x))))) (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (/ 1 (+ 0 (* (sin y) z))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))

simplify228.0ms (2.2%)

Memory
34.2MiB live, 263.5MiB allocated
Algorithm
egg-herbie
Rules
7 688×lower-fma.f64
7 688×lower-fma.f32
6 784×lower-*.f64
6 784×lower-*.f32
4 590×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010059729
135269457
083159219
Stop Event
iter limit
node limit
Counts
504 → 494
Calls
Call 1
Inputs
(* 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)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* 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
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* y z)
(* y z)
(* y z)
(* y z)
(* 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 (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow z 2) (- (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (* 1/2 (/ 1 (* x (cos y))))))
(* (pow z 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (/ (* z (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 2)))) (* 1/2 (/ 1 (* x (cos y))))))
(* (pow z 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (* z (+ (* -1 (/ (* z (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 3)))) (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2)))))) (* 1/2 (/ 1 (* x (cos y))))))
(* (pow z 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (* z (+ (* z (+ (* -1 (/ (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 3) (pow (cos y) 3)))) (/ (* z (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 4) (pow (cos y) 4))))) (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2)))))) (* 1/2 (/ 1 (* x (cos 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 (- (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))) (* 1/2 (/ 1 (* x (cos y))))))) (/ (* (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 (- (+ (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (* z (- (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2))) (/ (* (pow (sin y) 3) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 4)))))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))) (* 1/2 (/ 1 (* x (cos y))))))) (/ (* (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 (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ (pow z 2) (* x (cos y)))
(* (pow z 2) (+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y)))))
(* (pow z 2) (+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))))
(* (pow z 2) (+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))
(* (pow z 2) (- (+ (* -1 (/ (* z (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 2)))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y))))))
(* (pow z 2) (- (+ (* z (- (/ (* z (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 3))) (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2))))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y))))))
(* (pow z 2) (- (+ (* z (- (* z (- (* -1 (/ (* z (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 3) (pow (cos y) 3)))))) (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2))))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 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 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -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 (* y z))
(* z (- (/ x z) y))
(* z (- (/ x z) y))
(* z (- (/ x z) y))
(* y z)
(* y z)
(* y z)
(* y z)
(* -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 (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* x (cos y)) z)))
(* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* x (cos y)) z)))
(* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* x (cos y)) z)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* z (- (* 1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))
(* z (- (+ (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (* z (pow (sin y) 2)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (+ (* -1/2 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (* 1/2 (/ 1 (sin y))))))
(* z (- (+ (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (* z (pow (sin y) 2)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (* (pow z 2) (pow (sin y) 3)))))) (+ (* -1/2 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (* 1/2 (/ 1 (sin y))) (* 1/2 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3))))))))
(* z (- (+ (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (* z (pow (sin y) 2)))) (+ (* -1/2 (/ (* (pow x 3) (* (pow (cos y) 3) (cos (* 2 y)))) (* (pow z 3) (pow (sin y) 4)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (* (pow z 2) (pow (sin y) 3))))))) (+ (* -1/2 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (* -1/2 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (* 1/2 (/ 1 (sin y))) (* 1/2 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))))))
(* z (- (* 1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))
(* z (- (+ (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (* z (pow (sin y) 2)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (+ (* -1/2 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (* 1/2 (/ 1 (sin y))))))
(* z (- (+ (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (* z (pow (sin y) 2)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (+ (* 1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (* (pow z 2) (pow (sin y) 3)))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y)))))) (+ (* -1/2 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (* 1/2 (/ 1 (sin y))) (* 1/2 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3))))))))
(* z (- (+ (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (* z (pow (sin y) 2)))) (+ (* -1/2 (/ (* (pow x 3) (* (pow (cos y) 3) (cos (* 2 y)))) (* (pow z 3) (pow (sin y) 4)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (+ (* 1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (* (pow z 2) (pow (sin y) 3)))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y))))))) (+ (* -1/2 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (* -1/2 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (* 1/2 (/ 1 (sin y))) (+ (* 1/2 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* (pow x 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 3) (pow (sin y) 2)))))))))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ z (sin y))
(* z (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))))
(* z (- (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2)))))
(* z (- (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2))))))
(/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
(* 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)))))
(* z (- (+ (* 1/2 (/ 1 (sin y))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2))))))
(* z (- (+ (* -1 (/ (* (pow x 3) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 3) (pow (sin y) 4)))) (* 1/2 (/ 1 (sin y)))) (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))))))
(* -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)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
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(* x (cos y))
(*.f64 (cos.f64 y) x)
(+ (* -1 (* z (sin y))) (* x (cos y)))
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(*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 z z) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) y))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (*.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (cos.f64 y)))) x)) (neg.f64 x)) (fma.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) (cos.f64 y)) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (cos.f64 y)))) (neg.f64 x))
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (* (pow z 3) (* (cos (* 2 y)) (pow (sin y) 3))) (pow (cos y) 4))) (+ (* -1/2 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 4))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x)) (+ (* -1/2 (/ (* (pow z 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* -1/2 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))))) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) x)) (+ (* -1/2 (/ (* z (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) x)) (* -1/2 (/ (cos (* 2 y)) (cos y)))) (* 1/2 (/ 1 (cos y))))))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 z z) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) y))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 z z) z) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) y))) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 z z) z) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) (sin.f64 y)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 x))) (*.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (cos.f64 y)))) (neg.f64 x))) (neg.f64 x)) (fma.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) (cos.f64 y)) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (cos.f64 y)))) (neg.f64 x))
(/ (pow z 2) (* x (cos y)))
(/.f64 (*.f64 z z) (*.f64 (cos.f64 y) x))
(* -1 (/ (+ (* -1 (/ (pow z 2) (cos y))) (/ (* (pow z 3) (sin y)) (* x (pow (cos y) 2)))) x))
(/.f64 (fma.f64 (*.f64 (*.f64 z z) z) (/.f64 (sin.f64 y) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (/.f64 (*.f64 (neg.f64 z) z) (cos.f64 y))) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (- (/ (* (pow z 4) (pow (sin y) 2)) (* x (pow (cos y) 3))) (/ (* (pow z 3) (sin y)) (pow (cos y) 2))) x)) (* -1 (/ (pow z 2) (cos y)))) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x)) (/.f64 (*.f64 (*.f64 (*.f64 z z) z) (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 x)) (/.f64 (*.f64 z z) (cos.f64 y))) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 5) (pow (sin y) 3)) (* x (pow (cos y) 4))) (/ (* (pow z 4) (pow (sin y) 2)) (pow (cos y) 3))) x)) (/ (* (pow z 3) (sin y)) (pow (cos y) 2))) x)) (* -1 (/ (pow z 2) (cos y)))) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) x)) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (neg.f64 x)) (/.f64 (*.f64 (*.f64 (*.f64 z z) z) (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 x)) (/.f64 (*.f64 z z) (cos.f64 y))) (neg.f64 x))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))
(*.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (*.f64 (cos.f64 y) x)))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) x))
(/.f64 (fma.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) (sin.f64 y)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)))) x)
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 3))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x))) x))
(/.f64 (neg.f64 (fma.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) (sin.f64 y)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x))) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 4))) (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x))) x))
(/.f64 (neg.f64 (fma.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) x)) (/.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (neg.f64 x)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) (sin.f64 y)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x))) (neg.f64 x))

rewrite786.0ms (7.7%)

Memory
-20.3MiB live, 1 042.9MiB allocated
Rules
5 090×lower-*.f32
5 072×lower-*.f64
4 240×lower-fma.f32
4 232×lower-fma.f64
3 930×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040225
069172
1272146
22189135
010237135
Stop Event
iter limit
node limit
iter limit
Counts
19 → 3 268
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(cos.f64 y)
(*.f64 (neg.f64 z) (sin.f64 y))
(neg.f64 z)
#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 (neg.f64 z) (sin.f64 y)))
(sin.f64 y)
(fma.f64 (*.f64 (neg.f64 (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x))
(+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))
(*.f64 (neg.f64 (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
(-.f64 #s(literal 1/2 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))))
(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 (sin.f64 y) z (*.f64 (cos.f64 y) x)))))
(fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (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 (sin.f64 y) z (*.f64 (cos.f64 y) x))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))
(/.f64 (*.f64 z z) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))
Outputs
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) z) z (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) z) z (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (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 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.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 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 z (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (*.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 (/.f64 z (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (/.f64 #s(literal 1 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 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))))
(pow.f64 (/.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) z) z (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z) (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (*.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 (/.f64 z (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 z (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) #s(literal -1 binary64))
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(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (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 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))
(*.f64 (*.f64 (neg.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 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) z) (/.f64 z (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) z) (/.f64 z (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(*.f64 (*.f64 (neg.f64 z) (/.f64 z (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (/.f64 z (fma.f64 (sin.f64 y) z (*.f64 x (cos.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 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 z (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (*.f64 (/.f64 z (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 (*.f64 (/.f64 z (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) z) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (/.f64 z (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 z) (/.f64 z (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (/.f64 z (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) z))
(*.f64 (*.f64 z z) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(*.f64 z (*.f64 (/.f64 z (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(pow.f64 (/.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64))) (*.f64 (neg.f64 z) (/.f64 z (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (*.f64 (neg.f64 z) (/.f64 z (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))) (fma.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (*.f64 z z)))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64))) (*.f64 (/.f64 z (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) z)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (*.f64 (/.f64 z (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) z)) (fma.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (*.f64 z z)))
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(/.f64 (*.f64 (*.f64 (/.f64 z (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) z) (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64)))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (*.f64 (/.f64 z (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) z) (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (fma.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 z z)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (*.f64 z z)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 z (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 z (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 z (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 z (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (/.f64 z (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64)))) (*.f64 (/.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (*.f64 z z)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (*.f64 (/.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (*.f64 z z)) (fma.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (*.f64 (neg.f64 z) z) (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64)))) (*.f64 (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (*.f64 (neg.f64 z) z) (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (*.f64 (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (fma.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64)))) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (fma.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64))) (*.f64 (neg.f64 z) z)) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64))) (*.f64 z z)) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (*.f64 (neg.f64 z) z)) (*.f64 (fma.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (*.f64 z z)) (*.f64 (fma.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (*.f64 z z))))
(/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (*.f64 z z))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (*.f64 z z)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (*.f64 z z)))
(neg.f64 (*.f64 (*.f64 (/.f64 z (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (/.f64 z (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) z) #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 z (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) z) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 z (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) z) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))) (*.f64 (/.f64 z (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) z)))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (/.f64 z (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 z (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) z)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))) (*.f64 (/.f64 z (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) z)))
(+.f64 (*.f64 (*.f64 (/.f64 z (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) z) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 z (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) z) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))))
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (/.f64 z (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))

eval848.0ms (8.3%)

Memory
-38.3MiB live, 1 264.0MiB allocated
Compiler

Compiled 249 599 to 4 909 computations (98% saved)

prune758.0ms (7.4%)

Memory
-32.4MiB live, 541.7MiB allocated
Pruning

36 alts after pruning (34 fresh and 2 done)

PrunedKeptTotal
New3 984314 015
Fresh8311
Picked325
Done000
Total3 995364 031
Accuracy
100.0%
Counts
4 031 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.7%
(fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) x) (*.f64 (*.f64 (/.f64 z (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
67.9%
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (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 (sin.f64 y) z (*.f64 (cos.f64 y) x))))))
56.7%
(fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #s(approx (/ (* z z) (+ (* (sin y) z) (* (cos y) x))) (/.f64 (*.f64 z z) x)))))
26.1%
(fma.f64 (*.f64 (neg.f64 (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (*.f64 (sin.f64 y) z)) (*.f64 (cos.f64 y) x))
99.8%
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
74.6%
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (neg.f64 z) (sin.f64 y)))
31.5%
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))
53.7%
(-.f64 #s(approx (* x (cos y)) (fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) x)) (*.f64 z (sin.f64 y)))
51.5%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))
51.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))
52.5%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
22.4%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 (*.f64 z y) (fma.f64 z y x) (*.f64 x x)) (fma.f64 (neg.f64 z) y x)) (fma.f64 (*.f64 z y) (fma.f64 z y x) (*.f64 x x))))
32.4%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)) (fma.f64 z y x)))
32.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)))))
39.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
13.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 z y) (fma.f64 z y x) (*.f64 x x))) (/.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 z y) (fma.f64 z y x) (*.f64 x x)))))
29.8%
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 x x) (fma.f64 z y x)) (/.f64 (*.f64 (*.f64 (*.f64 z y) z) y) (fma.f64 z y x))))
92.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
88.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) z))
32.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
23.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (sin.f64 y) z)))))
39.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
17.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))))
17.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))))
62.8%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
46.0%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
45.9%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x z) y) z)))
40.3%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y)))
49.5%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x)))
18.1%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))
17.7%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))) (*.f64 y y) (*.f64 #s(literal 1/6 binary64) z)) (*.f64 y y) (neg.f64 z)) y)))
17.7%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) y)))
35.4%
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) y (neg.f64 z)) y x))
62.4%
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (*.f64 (fma.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) (cos.f64 y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) x))
24.1%
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (sin.f64 y)) (neg.f64 z)))
62.5%
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (*.f64 x (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))))
Compiler

Compiled 1 503 to 788 computations (47.6% saved)

simplify171.0ms (1.7%)

Memory
37.1MiB live, 113.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))
cost-diff0
(*.f64 x (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y)))
cost-diff0
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (*.f64 x (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))))
cost-diff128
(*.f64 #s(literal 2 binary64) y)
cost-diff0
(fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) y (neg.f64 z)) y x)
cost-diff0
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) y (neg.f64 z)) y x))
cost-diff320
(-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x)))
cost-diff2304
(-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))
cost-diff0
(fma.f64 y (/.f64 z x) #s(literal -1 binary64))
cost-diff0
#s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
cost-diff1024
(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 (neg.f64 y) z)
cost-diff0
#s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))
cost-diff0
(neg.f64 z)
cost-diff0
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
cost-diff704
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)
Rules
13 470×lower-fma.f32
13 458×lower-fma.f64
4 516×lower-*.f32
4 504×lower-*.f64
1 838×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061428
093427
1183382
2391357
31214357
44452341
08294333
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))
(neg.f64 z)
z
(/.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
(cos.f64 y)
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))
#s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))
(*.f64 (neg.f64 y) z)
(neg.f64 y)
y
z
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))
(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(fma.f64 y (/.f64 z x) #s(literal -1 binary64))
y
(/.f64 z x)
z
x
#s(literal -1 binary64)
(neg.f64 x)
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) y (neg.f64 z)) y x))
(fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) y (neg.f64 z)) y x)
(fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) y (neg.f64 z))
(-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x)))
(neg.f64 x)
x
(-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))
(fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x))
#s(literal -1/2 binary64)
(/.f64 (*.f64 z z) x)
(*.f64 z z)
z
y
(neg.f64 z)
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (*.f64 x (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))))
(*.f64 x (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y)))
x
(/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(cos.f64 (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
#s(literal 1/2 binary64)
(cos.f64 y)
Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)))
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))
(fma.f64 (/.f64 (neg.f64 z) x) (sin.f64 y) (cos.f64 y))
(neg.f64 z)
z
(/.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
(cos.f64 y)
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))
#s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))
(*.f64 (neg.f64 y) z)
(neg.f64 y)
y
z
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (fma.f64 (neg.f64 z) y x)))
#s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))
#s(approx (- x (* z y)) (fma.f64 (neg.f64 z) y x))
(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(fma.f64 (neg.f64 z) y x)
(fma.f64 y (/.f64 z x) #s(literal -1 binary64))
(fma.f64 (/.f64 z x) y #s(literal -1 binary64))
y
(/.f64 z x)
z
x
#s(literal -1 binary64)
(neg.f64 x)
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) y (neg.f64 z)) y x))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y z) (neg.f64 y) x))
(fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) y (neg.f64 z)) y x)
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y z) (neg.f64 y) x)
(fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) y (neg.f64 z))
(neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y z))
(-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x)))
(*.f64 #s(literal -1/2 binary64) x)
(neg.f64 x)
x
(-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))
(*.f64 #s(literal -1/2 binary64) x)
(fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x))
(fma.f64 #s(literal -1/2 binary64) x (*.f64 (/.f64 z x) z))
#s(literal -1/2 binary64)
(/.f64 (*.f64 z z) x)
(*.f64 (/.f64 z x) z)
(*.f64 z z)
z
y
(neg.f64 z)
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (*.f64 x (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (*.f64 (/.f64 x (cos.f64 y)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 x (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y)))
(*.f64 (/.f64 x (cos.f64 y)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
x
(/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))
(/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(cos.f64 (*.f64 #s(literal 2 binary64) y))
(cos.f64 (+.f64 y y))
(*.f64 #s(literal 2 binary64) y)
(+.f64 y y)
#s(literal 2 binary64)
y
#s(literal 1/2 binary64)
(cos.f64 y)

localize385.0ms (3.8%)

Memory
-21.7MiB live, 295.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.09375
(*.f64 x (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y)))
accuracy0.197597509768442
(/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))
accuracy0.31471764471603
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy19.36210854706333
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (*.f64 x (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))))
accuracy0.04296875
(fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) y (neg.f64 z)) y x)
accuracy6.964432850284695
(/.f64 (*.f64 z z) x)
accuracy25.467509607409838
(-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))
accuracy27.95283929428919
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) y (neg.f64 z)) y x))
accuracy0
#s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))
accuracy2.1952763200254446
(fma.f64 y (/.f64 z x) #s(literal -1 binary64))
accuracy4.101483293527319
(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
accuracy27.32448216365682
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
accuracy0
(*.f64 (neg.f64 y) z)
accuracy0
(neg.f64 y)
accuracy27.32448216365682
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))
accuracy30.224280615072395
#s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))
accuracy0
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
accuracy0.078125
(/.f64 (sin.f64 y) x)
accuracy0.1015625
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))
accuracy1.57312263884838
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)
Samples
182.0ms105×1valid
95.0ms133×0valid
10.0ms18×1exit
Compiler

Compiled 353 to 59 computations (83.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 201.0ms
ival-cos: 78.0ms (38.9% of total)
ival-mult: 41.0ms (20.4% of total)
ival-sub: 21.0ms (10.5% of total)
ival-add: 14.0ms (7% of total)
ival-sin: 14.0ms (7% of total)
adjust: 13.0ms (6.5% of total)
ival-div: 13.0ms (6.5% of total)
ival-neg: 4.0ms (2% of total)
exact: 1.0ms (0.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series118.0ms (1.1%)

Memory
22.7MiB live, 135.7MiB allocated
Counts
23 → 636
Calls
Call 1
Inputs
#s(alt (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x) (patch (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x) #<representation binary64>) () ())
#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) (patch (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) #<representation binary64>) () ())
#s(alt #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)) (patch #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 y) z) (patch (*.f64 (neg.f64 y) z) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)) (patch (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)) #<representation binary64>) () ())
#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) #<representation binary64>) () ())
#s(alt #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))) (patch #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))) #<representation binary64>) () ())
#s(alt (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (patch (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x)) (patch (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x)) #<representation binary64>) () ())
#s(alt (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) (patch (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) y (neg.f64 z)) y x)) (patch #s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) y (neg.f64 z)) y x)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) y (neg.f64 z)) y x) (patch (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) y (neg.f64 z)) y x) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) y) (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (*.f64 x (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y)))) (patch #s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (*.f64 x (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y)))) #<representation binary64>) () ())
#s(alt (*.f64 x (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))) (patch (*.f64 x (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y)) (patch (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y)) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 y) x) (patch (/.f64 (sin.f64 y) x) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 z z) x) (patch (/.f64 (*.f64 z z) x) #<representation binary64>) () ())
#s(alt (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x) (patch (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x) (patch (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x) (patch (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x) (patch (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) (patch (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ (cos y) (* -1 (/ (* z (sin y)) x))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) (patch (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ (cos y) (* -1 (/ (* z (sin y)) x))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) (patch (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ (cos y) (* -1 (/ (* z (sin y)) x))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) (patch (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)) (patch #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y z))) (taylor 0 z) (#s(alt #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)) (patch #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y z))) (taylor 0 z) (#s(alt #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)) (patch #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y z))) (taylor 0 z) (#s(alt #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)) (patch #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 y) z) (patch (*.f64 (neg.f64 y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 y) z) (patch (*.f64 (neg.f64 y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 y) z) (patch (*.f64 (neg.f64 y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 y) z) (patch (*.f64 (neg.f64 y) z) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)) (patch (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y z))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)) (patch (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y z))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)) (patch (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y z))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)) (patch (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))) (patch #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1/2 (/ (* (pow z 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* -1/2 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3)))) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) x)) (+ (* -1/2 (/ (* z (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) x)) (* -1/2 (/ (cos (* 2 y)) (cos y)))) (* 1/2 (/ 1 (cos y)))))) (taylor -inf x) (#s(alt #s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (*.f64 x (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y)))) (patch #s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (*.f64 x (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (* (pow z 3) (* (cos (* 2 y)) (pow (sin y) 3))) (pow (cos y) 4))) (+ (* -1/2 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 4))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x)) (+ (* -1/2 (/ (* (pow z 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* -1/2 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))))) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) x)) (+ (* -1/2 (/ (* z (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) x)) (* -1/2 (/ (cos (* 2 y)) (cos y)))) (* 1/2 (/ 1 (cos y)))))) (taylor -inf x) (#s(alt #s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (*.f64 x (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y)))) (patch #s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (*.f64 x (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (taylor -inf x) (#s(alt (*.f64 x (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))) (patch (*.f64 x (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (taylor -inf x) (#s(alt (*.f64 x (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))) (patch (*.f64 x (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (taylor -inf x) (#s(alt (*.f64 x (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))) (patch (*.f64 x (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (taylor -inf x) (#s(alt (*.f64 x (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))) (patch (*.f64 x (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) x) (taylor -inf x) (#s(alt (/.f64 (sin.f64 y) x) (patch (/.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) x) (taylor -inf x) (#s(alt (/.f64 (sin.f64 y) x) (patch (/.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) x) (taylor -inf x) (#s(alt (/.f64 (sin.f64 y) x) (patch (/.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) x) (taylor -inf x) (#s(alt (/.f64 (sin.f64 y) x) (patch (/.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) x) (taylor -inf x) (#s(alt (/.f64 (*.f64 z z) x) (patch (/.f64 (*.f64 z z) x) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) x) (taylor -inf x) (#s(alt (/.f64 (*.f64 z z) x) (patch (/.f64 (*.f64 z z) x) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) x) (taylor -inf x) (#s(alt (/.f64 (*.f64 z z) x) (patch (/.f64 (*.f64 z z) x) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) x) (taylor -inf x) (#s(alt (/.f64 (*.f64 z z) x) (patch (/.f64 (*.f64 z z) x) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
27.0ms
y
@0
((* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) (/ (sin y) x)) (cos y)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg y) z) (neg y) (* (+ (* y (/ z x)) -1) (neg x)) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (+ (* y (/ z x)) -1) (- (+ (* -1/2 x) (/ (* z z) x)) (/ (* z z) x)) (- (neg x) (- (+ (* -1/2 x) (/ (* z z) x)) (/ (* z z) x))) (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (+ (* (+ (* (- (neg x) (- (+ (* -1/2 x) (/ (* z z) x)) (/ (* z z) x))) y) (neg z)) y) x) (* 2 y) (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (* x (/ (+ (* (cos (* 2 y)) 1/2) 1/2) (cos y))) (/ (+ (* (cos (* 2 y)) 1/2) 1/2) (cos y)) (/ (sin y) x) (/ (* z z) x) (+ (* (cos (* 2 y)) 1/2) 1/2))
20.0ms
x
@0
((* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) (/ (sin y) x)) (cos y)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg y) z) (neg y) (* (+ (* y (/ z x)) -1) (neg x)) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (+ (* y (/ z x)) -1) (- (+ (* -1/2 x) (/ (* z z) x)) (/ (* z z) x)) (- (neg x) (- (+ (* -1/2 x) (/ (* z z) x)) (/ (* z z) x))) (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (+ (* (+ (* (- (neg x) (- (+ (* -1/2 x) (/ (* z z) x)) (/ (* z z) x))) y) (neg z)) y) x) (* 2 y) (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (* x (/ (+ (* (cos (* 2 y)) 1/2) 1/2) (cos y))) (/ (+ (* (cos (* 2 y)) 1/2) 1/2) (cos y)) (/ (sin y) x) (/ (* z z) x) (+ (* (cos (* 2 y)) 1/2) 1/2))
6.0ms
y
@-inf
((* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) (/ (sin y) x)) (cos y)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg y) z) (neg y) (* (+ (* y (/ z x)) -1) (neg x)) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (+ (* y (/ z x)) -1) (- (+ (* -1/2 x) (/ (* z z) x)) (/ (* z z) x)) (- (neg x) (- (+ (* -1/2 x) (/ (* z z) x)) (/ (* z z) x))) (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (+ (* (+ (* (- (neg x) (- (+ (* -1/2 x) (/ (* z z) x)) (/ (* z z) x))) y) (neg z)) y) x) (* 2 y) (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (* x (/ (+ (* (cos (* 2 y)) 1/2) 1/2) (cos y))) (/ (+ (* (cos (* 2 y)) 1/2) 1/2) (cos y)) (/ (sin y) x) (/ (* z z) x) (+ (* (cos (* 2 y)) 1/2) 1/2))
6.0ms
y
@inf
((* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) (/ (sin y) x)) (cos y)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg y) z) (neg y) (* (+ (* y (/ z x)) -1) (neg x)) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (+ (* y (/ z x)) -1) (- (+ (* -1/2 x) (/ (* z z) x)) (/ (* z z) x)) (- (neg x) (- (+ (* -1/2 x) (/ (* z z) x)) (/ (* z z) x))) (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (+ (* (+ (* (- (neg x) (- (+ (* -1/2 x) (/ (* z z) x)) (/ (* z z) x))) y) (neg z)) y) x) (* 2 y) (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (* x (/ (+ (* (cos (* 2 y)) 1/2) 1/2) (cos y))) (/ (+ (* (cos (* 2 y)) 1/2) 1/2) (cos y)) (/ (sin y) x) (/ (* z z) x) (+ (* (cos (* 2 y)) 1/2) 1/2))
5.0ms
x
@-inf
((* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) (/ (sin y) x)) (cos y)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg y) z) (neg y) (* (+ (* y (/ z x)) -1) (neg x)) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (+ (* y (/ z x)) -1) (- (+ (* -1/2 x) (/ (* z z) x)) (/ (* z z) x)) (- (neg x) (- (+ (* -1/2 x) (/ (* z z) x)) (/ (* z z) x))) (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (+ (* (+ (* (- (neg x) (- (+ (* -1/2 x) (/ (* z z) x)) (/ (* z z) x))) y) (neg z)) y) x) (* 2 y) (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (* x (/ (+ (* (cos (* 2 y)) 1/2) 1/2) (cos y))) (/ (+ (* (cos (* 2 y)) 1/2) 1/2) (cos y)) (/ (sin y) x) (/ (* z z) x) (+ (* (cos (* 2 y)) 1/2) 1/2))

simplify255.0ms (2.5%)

Memory
-9.3MiB live, 381.7MiB allocated
Algorithm
egg-herbie
Rules
8 896×lower-fma.f64
8 896×lower-fma.f32
6 328×lower-*.f64
6 328×lower-*.f32
3 606×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06028905
120298506
274178466
081378096
Stop Event
iter limit
node limit
Counts
636 → 616
Calls
Call 1
Inputs
(* 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)))
(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)
(* -1 z)
(* -1 z)
(* -1 z)
(* 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
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* 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
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
-1
(- (/ (* y z) x) 1)
(- (/ (* y z) x) 1)
(- (/ (* y z) x) 1)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1 (+ x (* -1/2 x)))
(* -1 (+ x (* -1/2 x)))
(* -1 (+ x (* -1/2 x)))
(* -1 (+ x (* -1/2 x)))
(/ (* 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 (- (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))) (* 1/2 (/ 1 (* x (cos y))))))) (/ (* (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 (- (+ (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (* z (- (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2))) (/ (* (pow (sin y) 3) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 4)))))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))) (* 1/2 (/ 1 (* x (cos y))))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+ x (* -1 (* (pow y 2) (+ x (* -1/2 x)))))
(+ x (+ (* -1 (* y z)) (* -1 (* (pow y 2) (+ x (* -1/2 x))))))
(+ x (+ (* -1 (* y z)) (* -1 (* (pow y 2) (+ x (* -1/2 x))))))
(+ x (+ (* -1 (* y z)) (* -1 (* (pow y 2) (+ x (* -1/2 x))))))
(/ (* 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 (- (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))) (* 1/2 (/ 1 (* x (cos y))))))) (/ (* (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 (- (+ (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (* z (- (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2))) (/ (* (pow (sin y) 3) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 4)))))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))) (* 1/2 (/ 1 (* x (cos y))))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(* -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)))
(* 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)) x))
(* 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)
(* -1 z)
(* -1 z)
(* -1 z)
(* -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 (* y z))
(* z (- (/ x z) y))
(* z (- (/ x z) y))
(* z (- (/ x z) y))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* z (+ (* -1 y) (/ x z)))
(* z (+ (* -1 y) (/ x z)))
(* z (+ (* -1 y) (/ x z)))
(* -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 (* y z))
(* z (- (/ x z) y))
(* z (- (/ x z) y))
(* z (- (/ x z) y))
(/ (* y z) x)
(* z (- (/ y x) (/ 1 z)))
(* z (- (/ y x) (/ 1 z)))
(* z (- (/ y x) (/ 1 z)))
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1 (+ x (* -1/2 x)))
(* -1 (+ x (* -1/2 x)))
(* -1 (+ x (* -1/2 x)))
(* -1 (+ x (* -1/2 x)))
(* z (- (* 1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))
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(*.f64 (-.f64 (fma.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) (cos.f64 y)) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (cos.f64 y))) (/.f64 (fma.f64 (*.f64 z (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (cos.f64 y)) (fma.f64 (*.f64 (*.f64 z z) (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 (*.f64 z z) z) (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) y))) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (*.f64 (*.f64 z z) z) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) z) (*.f64 z z)) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))))) (neg.f64 x)))) (neg.f64 x))) x)) (neg.f64 x))
(* -1 (* x (- (* 1/2 (pow y 2)) 1)))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (- (+ (* 1/2 (pow y 2)) (/ (* y z) x)) 1)))
(*.f64 (fma.f64 (/.f64 z x) y (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 x))
(* -1 (* x (- (+ (* 1/2 (pow y 2)) (/ (* y z) x)) 1)))
(*.f64 (fma.f64 (/.f64 z x) y (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 x))
(* -1 (* x (- (+ (* 1/2 (pow y 2)) (/ (* y z) x)) 1)))
(*.f64 (fma.f64 (/.f64 z x) y (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 x))
(* -1 (* x (- (* -1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))
(*.f64 (fma.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) (cos.f64 y)) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (cos.f64 y))) (neg.f64 x))
(* -1 (* x (- (+ (* -1 (/ (+ (* -1/2 (/ (* z (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (pow (cos y) 2)))) x)) (* -1/2 (/ (cos (* 2 y)) (cos y)))) (* 1/2 (/ 1 (cos y))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) (cos.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) x)) (neg.f64 x))
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1/2 (/ (* (pow z 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* -1/2 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3)))) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) x)) (+ (* -1/2 (/ (* z (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) x)) (* -1/2 (/ (cos (* 2 y)) (cos y)))) (* 1/2 (/ 1 (cos y))))))
(*.f64 (-.f64 (fma.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) (cos.f64 y)) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (cos.f64 y))) (/.f64 (fma.f64 (*.f64 z (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 z z) (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) #s(literal -1/2 binary64) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (cos.f64 y)))) (neg.f64 x))) x)) (neg.f64 x))
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (* (pow z 3) (* (cos (* 2 y)) (pow (sin y) 3))) (pow (cos y) 4))) (+ (* -1/2 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 4))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x)) (+ (* -1/2 (/ (* (pow z 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* -1/2 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))))) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) x)) (+ (* -1/2 (/ (* z (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) x)) (* -1/2 (/ (cos (* 2 y)) (cos y)))) (* 1/2 (/ 1 (cos y))))))
(*.f64 (-.f64 (fma.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) (cos.f64 y)) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (cos.f64 y))) (/.f64 (fma.f64 (*.f64 z (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (cos.f64 y)) (fma.f64 (*.f64 (*.f64 z z) (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 (*.f64 z z) z) (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) y))) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (*.f64 (*.f64 z z) z) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) z) (*.f64 z z)) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))))) (neg.f64 x)))) (neg.f64 x))) x)) (neg.f64 x))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
(/ (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 z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)

rewrite223.0ms (2.2%)

Memory
-10.5MiB live, 346.8MiB allocated
Rules
4 478×lower-/.f32
4 470×lower-/.f64
3 764×lower-fma.f32
3 752×lower-fma.f64
3 696×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061360
093356
1397238
23268229
08492225
Stop Event
iter limit
node limit
iter limit
Counts
23 → 460
Calls
Call 1
Inputs
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))
(neg.f64 z)
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))
#s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))
(*.f64 (neg.f64 y) z)
(neg.f64 y)
(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))
(fma.f64 y (/.f64 z x) #s(literal -1 binary64))
(-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))
(-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x)))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) y (neg.f64 z)) y x))
(fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) y (neg.f64 z)) y x)
(*.f64 #s(literal 2 binary64) y)
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (*.f64 x (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))))
(*.f64 x (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y)))
(/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))
(/.f64 (sin.f64 y) x)
(/.f64 (*.f64 z z) x)
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Outputs
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)
(*.f64 x (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)))
(/.f64 (neg.f64 (*.f64 (-.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 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) x)) (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (neg.f64 (cos.f64 y)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) (/.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 (neg.f64 (*.f64 x (-.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 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (neg.f64 (cos.f64 y)))))
(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) (/.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 (-.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 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) x) (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (neg.f64 (cos.f64 y))))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64))) x) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) (/.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 x (-.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 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (neg.f64 (cos.f64 y))))
(/.f64 (*.f64 x (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64)))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) (/.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 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) x (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) x))
(fma.f64 (cos.f64 y) x (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))))
(fma.f64 x (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) (*.f64 (cos.f64 y) x))
(fma.f64 x (cos.f64 y) (*.f64 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) x))
(fma.f64 x (cos.f64 y) (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))))
(+.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) x) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x))
(*.f64 (-.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 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (neg.f64 (cos.f64 y)))))
(*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) (/.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)))))
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(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (fma.f64 (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (cos.f64 (+.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) #s(literal -1/4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)))))
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64)))
(+.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))

eval147.0ms (1.4%)

Memory
5.4MiB live, 318.3MiB allocated
Compiler

Compiled 27 423 to 2 261 computations (91.8% saved)

prune227.0ms (2.2%)

Memory
-34.8MiB live, 456.2MiB allocated
Pruning

43 alts after pruning (39 fresh and 4 done)

PrunedKeptTotal
New1 130201 150
Fresh101929
Picked325
Done022
Total1 143431 186
Accuracy
100.0%
Counts
1 186 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.7%
(fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #s(approx (/ (* z z) (+ (* (sin y) z) (* (cos y) x))) (/.f64 (*.f64 z z) x)))))
26.1%
(fma.f64 (*.f64 (neg.f64 (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (*.f64 (sin.f64 y) z)) (*.f64 (cos.f64 y) x))
99.8%
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
74.6%
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (neg.f64 z) (sin.f64 y)))
51.5%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))
51.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))
52.5%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
32.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)))))
39.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
13.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 z y) (fma.f64 z y x) (*.f64 x x))) (/.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 z y) (fma.f64 z y x) (*.f64 x x)))))
29.8%
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 x x) (fma.f64 z y x)) (/.f64 (*.f64 (*.f64 (*.f64 z y) z) y) (fma.f64 z y x))))
88.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z))
89.4%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (sin.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 z)) (cos.f64 y)) x))
92.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (neg.f64 z) (*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y)) (cos.f64 y)) x))
32.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
23.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (sin.f64 y) z)))))
39.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
17.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))))
17.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))))
62.8%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
49.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 (neg.f64 y) x) z #s(literal 1 binary64))) x))
32.0%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x))
38.5%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
49.4%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 x))))
46.0%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
45.9%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x z) y) z)))
40.3%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y)))
18.1%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))
46.0%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 #s(approx (+ (* y (/ z x)) -1) (*.f64 (-.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) y)) y)) (neg.f64 x))))
49.2%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 #s(approx (+ (* y (/ z x)) -1) (*.f64 (-.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) z)) (neg.f64 x))))
17.7%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))) (*.f64 y y) (*.f64 #s(literal 1/6 binary64) z)) (*.f64 y y) (neg.f64 z)) y)))
17.7%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) y)))
39.6%
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 0 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 0 binary64)))) y (neg.f64 z)) y x))
98.9%
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))))
62.5%
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) (cos.f64 y)))
62.7%
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (/.f64 x (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 1 binary64)))))
62.2%
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
36.3%
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (*.f64 x #s(approx (/ (+ (* (cos (* 2 y)) 1/2) 1/2) (cos y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
36.4%
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (*.f64 x #s(approx (/ (+ (* (cos (* 2 y)) 1/2) 1/2) (cos y)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
36.3%
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (*.f64 x #s(approx (/ (+ (* (cos (* 2 y)) 1/2) 1/2) (cos y)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)))))
23.8%
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (neg.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y)))))
3.0%
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) #s(approx (+ (* (+ (* (- (neg x) (- (+ (* -1/2 x) (/ (* z z) x)) (/ (* z z) x))) y) (neg z)) y) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal -1/2 binary64))))
36.4%
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) #s(approx (* x (/ (+ (* (cos (* 2 y)) 1/2) 1/2) (cos y))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -2/45 binary64) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/24 binary64) x))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/48 binary64) x (*.f64 #s(literal -1/720 binary64) x)))) (*.f64 y y) (-.f64 (*.f64 #s(literal 1/3 binary64) x) (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/24 binary64) x)))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)))
Compiler

Compiled 1 590 to 879 computations (44.7% saved)

simplify129.0ms (1.3%)

Memory
-0.5MiB live, 233.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (sin.f64 y) z)
cost-diff0
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
cost-diff1280
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))
cost-diff0
(fma.f64 z y x)
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)))))
cost-diff1088
(/.f64 (fma.f64 z y x) (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x))))
cost-diff0
(fma.f64 (/.f64 (neg.f64 y) x) z #s(literal 1 binary64))
cost-diff0
#s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 (neg.f64 y) x) z #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 (neg.f64 y) x) z #s(literal 1 binary64))) x)
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 (neg.f64 y) x) z #s(literal 1 binary64))) x))
cost-diff0
#s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
cost-diff0
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))))
cost-diff128
(*.f64 (neg.f64 z) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
cost-diff128
(*.f64 #s(literal 2 binary64) y)
cost-diff13632
(fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
Rules
10 748×lower-fma.f32
10 738×lower-fma.f64
5 180×lower-*.f32
5 166×lower-*.f64
1 736×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064443
098449
1195403
2458381
31674377
45761377
08280372
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))))
(fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(cos.f64 (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
#s(literal 1/2 binary64)
(/.f64 x (cos.f64 y))
x
(cos.f64 y)
(*.f64 (neg.f64 z) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(neg.f64 z)
z
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(sin.f64 y)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
(*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)
#s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 (neg.f64 y) x) z #s(literal 1 binary64))) x))
(*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 (neg.f64 y) x) z #s(literal 1 binary64))) x)
#s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 (neg.f64 y) x) z #s(literal 1 binary64)))
(fma.f64 (/.f64 (neg.f64 y) x) z #s(literal 1 binary64))
(/.f64 (neg.f64 y) x)
(neg.f64 y)
y
x
z
#s(literal 1 binary64)
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x))))
#s(literal 1 binary64)
(/.f64 (fma.f64 z y x) (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)))
(fma.f64 z y x)
z
y
x
(*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x))
(fma.f64 (neg.f64 z) y x)
(neg.f64 z)
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))
#s(literal -1 binary64)
(*.f64 (sin.f64 y) z)
(sin.f64 y)
y
z
Outputs
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) (cos.f64 y)) (fma.f64 (/.f64 (sin.f64 y) (cos.f64 y)) z (neg.f64 x))))
(fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) (cos.f64 y)) (fma.f64 (/.f64 (sin.f64 y) (cos.f64 y)) z (neg.f64 x)))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(cos.f64 (*.f64 #s(literal 2 binary64) y))
(cos.f64 (+.f64 y y))
(*.f64 #s(literal 2 binary64) y)
(+.f64 y y)
#s(literal 2 binary64)
y
#s(literal 1/2 binary64)
(/.f64 x (cos.f64 y))
x
(cos.f64 y)
(*.f64 (neg.f64 z) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (cos.f64 (+.f64 y y)) z z) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(neg.f64 z)
z
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(*.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(sin.f64 y)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
(*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)
#s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 (neg.f64 y) x) z #s(literal 1 binary64))) x))
(*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 (neg.f64 y) x) z #s(literal 1 binary64))) x)
#s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 (neg.f64 y) x) z #s(literal 1 binary64)))
(fma.f64 (/.f64 (neg.f64 y) x) z #s(literal 1 binary64))
(/.f64 (neg.f64 y) x)
(neg.f64 y)
y
x
z
#s(literal 1 binary64)
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 y) z x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x))))
(fma.f64 (neg.f64 y) z x)
#s(literal 1 binary64)
(/.f64 (fma.f64 z y x) (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) z x))
(fma.f64 z y x)
z
y
x
(*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x))
(*.f64 (fma.f64 (neg.f64 y) z x) (fma.f64 z y x))
(fma.f64 (neg.f64 z) y x)
(fma.f64 (neg.f64 y) z x)
(neg.f64 z)
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))
(*.f64 (sin.f64 y) (neg.f64 z))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))
#s(literal -1 binary64)
(*.f64 (sin.f64 y) z)
(sin.f64 y)
y
z

localize210.0ms (2.1%)

Memory
7.6MiB live, 414.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.1171875
(*.f64 (sin.f64 y) z)
accuracy0.24609375
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))
accuracy0.8107185863639721
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))
accuracy38.9155842236215
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
accuracy0.13119125976844204
(*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x))
accuracy0.16796875
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x))))
accuracy30.416658740784417
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)))))
accuracy31.44465960967763
(/.f64 (fma.f64 z y x) (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)))
accuracy0
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 (neg.f64 y) x) z #s(literal 1 binary64))) x))
accuracy4.300696551782804
(fma.f64 (/.f64 (neg.f64 y) x) z #s(literal 1 binary64))
accuracy4.610884509701578
(*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 (neg.f64 y) x) z #s(literal 1 binary64))) x)
accuracy29.06533296915215
#s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 (neg.f64 y) x) z #s(literal 1 binary64)))
accuracy0
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
accuracy4.610884509701578
(*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)
accuracy39.48134763282461
#s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64))
accuracy0.16796875
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
accuracy0.20541000976844204
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
accuracy0.3096761358465573
(fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
accuracy0.34272516425291405
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Samples
89.0ms189×0valid
73.0ms67×1valid
Compiler

Compiled 348 to 59 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 134.0ms
ival-mult: 39.0ms (29.1% of total)
ival-cos: 30.0ms (22.4% of total)
ival-div: 22.0ms (16.4% of total)
ival-sin: 13.0ms (9.7% of total)
ival-add: 13.0ms (9.7% of total)
adjust: 6.0ms (4.5% of total)
ival-neg: 3.0ms (2.2% of total)
ival-sub: 3.0ms (2.2% of total)
ival-pow2: 3.0ms (2.2% of total)
exact: 1.0ms (0.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series150.0ms (1.5%)

Memory
-0.3MiB live, 157.3MiB allocated
Counts
23 → 684
Calls
Call 1
Inputs
#s(alt (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) (patch (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) y) (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 z) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (patch (*.f64 (neg.f64 z) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))) (patch #s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))) #<representation binary64>) () ())
#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) (patch #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 (neg.f64 y) x) z #s(literal 1 binary64))) x)) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 (neg.f64 y) x) z #s(literal 1 binary64))) x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 (neg.f64 y) x) z #s(literal 1 binary64))) x) (patch (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 (neg.f64 y) x) z #s(literal 1 binary64))) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 (neg.f64 y) x) z #s(literal 1 binary64))) (patch #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 (neg.f64 y) x) z #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (neg.f64 y) x) z #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (neg.f64 y) x) z #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 z y x) (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x))) (patch (/.f64 (fma.f64 z y x) (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x))) #<representation binary64>) () ())
#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x))))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x))))) #<representation binary64>) () ())
#s(alt (fma.f64 z y x) (patch (fma.f64 z y x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))) #<representation binary64>) () ())
#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)) (patch (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())
#s(alt (*.f64 (sin.f64 y) z) (patch (*.f64 (sin.f64 y) z) #<representation binary64>) () ())
#s(alt (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (patch (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)) (patch (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)) #<representation binary64>) () ())
Outputs
#s(alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) (patch (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) (patch (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) (patch (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) (patch (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (patch (*.f64 (neg.f64 z) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (patch (*.f64 (neg.f64 z) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (patch (*.f64 (neg.f64 z) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (patch (*.f64 (neg.f64 z) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (taylor 0 z) (#s(alt #s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))) (patch #s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 z) (#s(alt #s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))) (patch #s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (* z (- (* 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)))) (* 1/2 (/ 1 (* x (cos y))))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))) (patch #s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (* z (- (+ (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (* z (- (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2))) (/ (* (pow (sin y) 3) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 4)))))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))) (* 1/2 (/ 1 (* x (cos y))))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))) (patch #s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor 0 z) (#s(alt #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) (patch #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (cos y) (* -1 (/ (* z (sin y)) x))) (taylor 0 z) (#s(alt #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) (patch #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (cos y) (* -1 (/ (* z (sin y)) x))) (taylor 0 z) (#s(alt #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) (patch #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (cos y) (* -1 (/ (* z (sin y)) x))) (taylor 0 z) (#s(alt #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) (patch #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 (neg.f64 y) x) z #s(literal 1 binary64))) x)) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 (neg.f64 y) x) z #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ())
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#s(alt (* x (cos y)) (taylor -inf x) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)) (patch (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (* y z)) (* y z)) x)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)) (patch (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (* y z)) (+ (* y z) (/ (* (pow y 2) (pow z 2)) x))) x)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)) (patch (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (* y z)) (+ (* y z) (/ (* (pow y 2) (pow z 2)) x))) x)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)) (patch (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
14.0ms
y
@0
((+ (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y))) (* (neg z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))))) (* 2 y) (* (neg z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2)))) (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (- (* x (cos y)) (* z (sin y))) (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (+ (* (neg z) (/ (sin y) x)) (cos y)) (- (* x (cos y)) (* z (sin y))) (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (+ (* (neg z) (/ (sin y) x)) (cos y)) (+ (* (/ (neg y) x) z) 1) (/ 1 (/ (+ (* z y) x) (* (+ (* z y) x) (+ (* (neg z) y) x)))) (/ (+ (* z y) x) (* (+ (* z y) x) (+ (* (neg z) y) x))) (- (* x (cos y)) (* z (sin y))) (+ (* z y) x) (/ 1 (/ -1 (* (sin y) z))) (- (* x (cos y)) (* z (sin y))) (/ -1 (* (sin y) z)) (* (sin y) z) (+ (* (cos (* 2 y)) 1/2) 1/2) (pow (cos y) 2) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) (* (+ (* z y) x) (+ (* (neg z) y) x)))
13.0ms
y
@inf
((+ (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y))) (* (neg z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))))) (* 2 y) (* (neg z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2)))) (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (- (* x (cos y)) (* z (sin y))) (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (+ (* (neg z) (/ (sin y) x)) (cos y)) (- (* x (cos y)) (* z (sin y))) (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (+ (* (neg z) (/ (sin y) x)) (cos y)) (+ (* (/ (neg y) x) z) 1) (/ 1 (/ (+ (* z y) x) (* (+ (* z y) x) (+ (* (neg z) y) x)))) (/ (+ (* z y) x) (* (+ (* z y) x) (+ (* (neg z) y) x))) (- (* x (cos y)) (* z (sin y))) (+ (* z y) x) (/ 1 (/ -1 (* (sin y) z))) (- (* x (cos y)) (* z (sin y))) (/ -1 (* (sin y) z)) (* (sin y) z) (+ (* (cos (* 2 y)) 1/2) 1/2) (pow (cos y) 2) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) (* (+ (* z y) x) (+ (* (neg z) y) x)))
8.0ms
z
@inf
((+ (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y))) (* (neg z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))))) (* 2 y) (* (neg z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2)))) (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (- (* x (cos y)) (* z (sin y))) (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (+ (* (neg z) (/ (sin y) x)) (cos y)) (- (* x (cos y)) (* z (sin y))) (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (+ (* (neg z) (/ (sin y) x)) (cos y)) (+ (* (/ (neg y) x) z) 1) (/ 1 (/ (+ (* z y) x) (* (+ (* z y) x) (+ (* (neg z) y) x)))) (/ (+ (* z y) x) (* (+ (* z y) x) (+ (* (neg z) y) x))) (- (* x (cos y)) (* z (sin y))) (+ (* z y) x) (/ 1 (/ -1 (* (sin y) z))) (- (* x (cos y)) (* z (sin y))) (/ -1 (* (sin y) z)) (* (sin y) z) (+ (* (cos (* 2 y)) 1/2) 1/2) (pow (cos y) 2) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) (* (+ (* z y) x) (+ (* (neg z) y) x)))
6.0ms
y
@-inf
((+ (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y))) (* (neg z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))))) (* 2 y) (* (neg z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2)))) (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (- (* x (cos y)) (* z (sin y))) (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (+ (* (neg z) (/ (sin y) x)) (cos y)) (- (* x (cos y)) (* z (sin y))) (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (+ (* (neg z) (/ (sin y) x)) (cos y)) (+ (* (/ (neg y) x) z) 1) (/ 1 (/ (+ (* z y) x) (* (+ (* z y) x) (+ (* (neg z) y) x)))) (/ (+ (* z y) x) (* (+ (* z y) x) (+ (* (neg z) y) x))) (- (* x (cos y)) (* z (sin y))) (+ (* z y) x) (/ 1 (/ -1 (* (sin y) z))) (- (* x (cos y)) (* z (sin y))) (/ -1 (* (sin y) z)) (* (sin y) z) (+ (* (cos (* 2 y)) 1/2) 1/2) (pow (cos y) 2) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) (* (+ (* z y) x) (+ (* (neg z) y) x)))
5.0ms
z
@0
((+ (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y))) (* (neg z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))))) (* 2 y) (* (neg z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2)))) (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (- (* x (cos y)) (* z (sin y))) (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (+ (* (neg z) (/ (sin y) x)) (cos y)) (- (* x (cos y)) (* z (sin y))) (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (+ (* (neg z) (/ (sin y) x)) (cos y)) (+ (* (/ (neg y) x) z) 1) (/ 1 (/ (+ (* z y) x) (* (+ (* z y) x) (+ (* (neg z) y) x)))) (/ (+ (* z y) x) (* (+ (* z y) x) (+ (* (neg z) y) x))) (- (* x (cos y)) (* z (sin y))) (+ (* z y) x) (/ 1 (/ -1 (* (sin y) z))) (- (* x (cos y)) (* z (sin y))) (/ -1 (* (sin y) z)) (* (sin y) z) (+ (* (cos (* 2 y)) 1/2) 1/2) (pow (cos y) 2) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) (* (+ (* z y) x) (+ (* (neg z) y) x)))

simplify436.0ms (4.3%)

Memory
24.3MiB live, 256.6MiB allocated
Algorithm
egg-herbie
Rules
10 688×lower-fma.f64
10 688×lower-fma.f32
6 540×lower-*.f64
6 540×lower-*.f32
4 746×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08989539
130488980
085088631
Stop Event
iter limit
node limit
Counts
684 → 667
Calls
Call 1
Inputs
(/ (* 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)))
(+ (* -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)))
(+ (* -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)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(* -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))
(+ (* -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 (- (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))) (* 1/2 (/ 1 (* x (cos y))))))) (/ (* (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 (- (+ (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (* z (- (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2))) (/ (* (pow (sin y) 3) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 4)))))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))) (* 1/2 (/ 1 (* x (cos y))))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (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)))
(* x (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)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* 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)))
(* x (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)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
1
(+ 1 (* -1 (/ (* y z) x)))
(+ 1 (* -1 (/ (* y z) x)))
(+ 1 (* -1 (/ (* y z) x)))
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(/ 1 x)
(+ (/ 1 x) (/ (* y z) (pow x 2)))
(+ (* z (- (/ (* (pow y 2) z) (pow x 3)) (* -1 (/ y (pow x 2))))) (/ 1 x))
(+ (* z (- (* z (- (/ (* (pow y 3) z) (pow x 4)) (* -1 (/ (pow y 2) (pow x 3))))) (* -1 (/ y (pow x 2))))) (/ 1 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)))
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(* -1 (* z (sin y)))
(* -1 (* z (sin 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)))
(+ (* -1 (* z (sin y))) (* x (cos 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))
(pow x 2)
(+ (* z (+ (* -1 (* x y)) (* x y))) (pow x 2))
(+ (* z (+ (* -1 (* x y)) (+ (* -1 (* (pow y 2) z)) (* x y)))) (pow x 2))
(+ (* z (+ (* -1 (* x y)) (+ (* -1 (* (pow y 2) z)) (* x y)))) (pow x 2))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(* z (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y)))))
(* z (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y)))))
(* z (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y)))))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(* z (- (* 1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))
(* z (- (+ (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (* z (pow (sin y) 2)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (+ (* -1/2 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (* 1/2 (/ 1 (sin y))))))
(* z (- (+ (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (* z (pow (sin y) 2)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (+ (* 1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (* (pow z 2) (pow (sin y) 3)))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y)))))) (+ (* -1/2 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (* 1/2 (/ 1 (sin y))) (* 1/2 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3))))))))
(* z (- (+ (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (* z (pow (sin y) 2)))) (+ (* -1/2 (/ (* (pow x 3) (* (pow (cos y) 3) (cos (* 2 y)))) (* (pow z 3) (pow (sin y) 4)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (+ (* 1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (* (pow z 2) (pow (sin y) 3)))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y))))))) (+ (* -1/2 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (* -1/2 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (* 1/2 (/ 1 (sin y))) (+ (* 1/2 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* (pow x 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 3) (pow (sin y) 2)))))))))
(* -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)))
(* 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)) x))
(* 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)))
(* 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)))
(* 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)) x))
(* 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 (/ (* y z) x))
(* z (+ (* -1 (/ y x)) (/ 1 z)))
(* z (+ (* -1 (/ y x)) (/ 1 z)))
(* z (+ (* -1 (/ y x)) (/ 1 z)))
(* -1 (* y z))
(* z (+ (* -1 y) (/ x z)))
(* z (+ (* -1 y) (/ x z)))
(* z (+ (* -1 y) (/ x z)))
(/ -1 (* y z))
(/ (- (* -1 (/ x (* (pow y 2) z))) (/ 1 y)) z)
(/ (- (* -1 (/ (pow x 2) (* (pow y 3) (pow z 2)))) (+ (/ 1 y) (/ x (* (pow y 2) z)))) z)
(/ (- (* -1 (/ (pow x 3) (* (pow y 4) (pow z 3)))) (+ (/ 1 y) (+ (/ x (* (pow y 2) z)) (/ (pow x 2) (* (pow y 3) (pow z 2)))))) z)
(* -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)))
(* y z)
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin 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 (sin y)))
(/ -1 (* z (sin y)))
(/ -1 (* z (sin y)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow z 2) (+ (* -1 (/ (* x y) z)) (+ (* -1 (pow y 2)) (/ (* x y) z))))
(* (pow z 2) (+ (* -1 (/ (* x y) z)) (+ (* -1 (pow y 2)) (+ (/ (* x y) z) (/ (pow x 2) (pow z 2))))))
(* (pow z 2) (+ (* -1 (/ (* x y) z)) (+ (* -1 (pow y 2)) (+ (/ (* x y) z) (/ (pow x 2) (pow z 2))))))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y)))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))))
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y)))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))))
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y)))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
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(* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
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(- (* x (+ (* x (+ (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))) (+ (* 1/2 (/ 1 (* z (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* z (sin y))))))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
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(* -1 (* 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)))
(+ (* -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))
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x)
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x)
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x)
(* -1 (* 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)))
(+ (* -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))
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x)
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x)
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x)
(* -1 (/ (* y z) x))
(/ (+ x (* -1 (* y z))) x)
(/ (+ x (* -1 (* y z))) x)
(/ (+ x (* -1 (* y z))) x)
(* -1 (* y z))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(/ -1 (* y z))
(- (* -1 (/ x (* (pow y 2) (pow z 2)))) (/ 1 (* y z)))
(- (* x (- (* -1 (/ x (* (pow y 3) (pow z 3)))) (/ 1 (* (pow y 2) (pow z 2))))) (/ 1 (* y z)))
(- (* x (- (* x (- (* -1 (/ x (* (pow y 4) (pow z 4)))) (/ 1 (* (pow y 3) (pow z 3))))) (/ 1 (* (pow y 2) (pow z 2))))) (/ 1 (* y z)))
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* y z)
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* -1 (* (pow y 2) (pow z 2)))
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(+ (* -1 (* (pow y 2) (pow z 2))) (* x (+ x (+ (* -1 (* y z)) (* y z)))))
(+ (* -1 (* (pow y 2) (pow z 2))) (* x (+ x (+ (* -1 (* y z)) (* y z)))))
(* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ 1 (cos y))) (* 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 (/ 1 (cos y))) (* 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 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y))))))
(* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* -1/2 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (+ (* -1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))))
(* x (- (+ (* -1/2 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (+ (* -1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ (* (pow z 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 3)))) (* 1/2 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3))))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))))
(* x (- (+ (* -1/2 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (+ (* -1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (* x (pow (cos y) 2)))) (+ (* -1/2 (/ (* (pow z 3) (* (cos (* 2 y)) (pow (sin y) 3))) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1/2 (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ (* (pow z 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 3)))) (+ (* 1/2 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 2))))))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (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))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* 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)))
(* 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))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* 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 (/ (* y z) x)))
(+ 1 (* -1 (/ (* y z) x)))
(+ 1 (* -1 (/ (* y z) x)))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (+ 1 (* -1 (/ (* y z) x))))
(/ 1 x)
(/ (+ 1 (/ (* y z) x)) x)
(/ (- (+ 1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (* -1 (/ (* y z) x))) x)
(/ (- (+ 1 (/ (* (pow y 3) (pow z 3)) (pow x 3))) (+ (* -1 (/ (* y z) x)) (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))))) x)
(* 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
(* x (+ 1 (/ (* y z) x)))
(* x (+ 1 (/ (* y z) x)))
(* x (+ 1 (/ (* y z) x)))
(* 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))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* -1 (/ (* y z) x)) (/ (* y z) x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (/ (* y z) x)))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (/ (* y z) x)))))
(/ (* 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))) (/ (* 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))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))
(* -1 (* x (- (* -1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))
(* -1 (* x (- (+ (* -1 (/ (+ (* -1/2 (/ (* z (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (pow (cos y) 2)))) x)) (* -1/2 (/ (cos (* 2 y)) (cos y)))) (* 1/2 (/ 1 (cos y))))))
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1/2 (/ (* (pow z 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* -1/2 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3)))) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) x)) (+ (* -1/2 (/ (* z (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) x)) (* -1/2 (/ (cos (* 2 y)) (cos y)))) (* 1/2 (/ 1 (cos y))))))
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (* (pow z 3) (* (cos (* 2 y)) (pow (sin y) 3))) (pow (cos y) 4))) (+ (* -1/2 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 4))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x)) (+ (* -1/2 (/ (* (pow z 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* -1/2 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))))) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) x)) (+ (* -1/2 (/ (* z (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) x)) (* -1/2 (/ (cos (* 2 y)) (cos y)))) (* 1/2 (/ 1 (cos y))))))
(* x (cos y))
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(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
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(* 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))))
(cos y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) 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 (* 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))))
(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 (/ (* y z) x)))
(+ 1 (* -1 (/ (* y z) x)))
(+ 1 (* -1 (/ (* y z) x)))
x
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (/ (* y z) x) 1)))
(/ 1 x)
(* -1 (/ (- (* -1 (/ (* y z) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow y 2) (pow z 2)) x) (* -1 (* y z))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow y 3) (pow z 3)) x)) (* (pow y 2) (pow z 2))) x)) (* -1 (* y z))) x)) 1) x))
(* 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
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* 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))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (* y z)) (* y z)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (* y z)) (+ (* y z) (/ (* (pow y 2) (pow z 2)) x))) x))))
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Outputs
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(*.f64 x (/.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y)))
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(+ (* -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)))
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(fma.f64 z (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x (/.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(*.f64 z (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(*.f64 z (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(*.f64 z (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(*.f64 z (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(*.f64 x (/.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 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)))
(fma.f64 z (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x (/.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))))
(+ (* z (- (* z (- (* 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)))) (* 1/2 (/ 1 (* x (cos y))))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
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(+ (* z (- (* z (- (+ (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (* z (- (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2))) (/ (* (pow (sin y) 3) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 4)))))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))) (* 1/2 (/ 1 (* x (cos y))))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (sin.f64 y) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) x) x)))) z (-.f64 (-.f64 (*.f64 (/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (*.f64 (cos.f64 y) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 y) x))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x)))) z (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z (*.f64 x (/.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(+ (* -1 (* z (sin y))) (* x (cos y)))
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(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y))) (neg.f64 x))
(cos y)
(cos.f64 y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y))) (neg.f64 x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y))) (neg.f64 x))
(cos y)
(cos.f64 y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (* y z) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))
(+ 1 (* -1 (/ (* y z) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))
(+ 1 (* -1 (/ (* y z) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))
x
(* -1 (* x (- (/ (* y z) x) 1)))
(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (- (/ (* y z) x) 1)))
(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (- (/ (* y z) x) 1)))
(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* -1 (/ (* y z) x)) 1) x))
(/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (/ (* (pow y 2) (pow z 2)) x) (* -1 (* y z))) x)) 1) x))
(/.f64 (-.f64 (/.f64 (fma.f64 z y (/.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow y 3) (pow z 3)) x)) (* (pow y 2) (pow z 2))) x)) (* -1 (* y z))) x)) 1) x))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) y) (/.f64 (*.f64 (*.f64 z z) z) x) (*.f64 (*.f64 (*.f64 y y) z) z))) (neg.f64 x)) (*.f64 z y)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y))) (neg.f64 x))
x
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(fma.f64 (*.f64 y x) (/.f64 z x) x)
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(fma.f64 (*.f64 y x) (/.f64 z x) x)
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(fma.f64 (*.f64 y x) (/.f64 z x) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y))) (neg.f64 x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (* y z)) (* y z)) x))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) x)) x) x)
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (* y z)) (+ (* y z) (/ (* (pow y 2) (pow z 2)) x))) x))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) (/.f64 (*.f64 z z) x) #s(literal 0 binary64)) x)) x) x)
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (* y z)) (+ (* y z) (/ (* (pow y 2) (pow z 2)) x))) x))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) (/.f64 (*.f64 z z) x) #s(literal 0 binary64)) x)) x) x)

rewrite316.0ms (3.1%)

Memory
3.5MiB live, 284.8MiB allocated
Rules
4 270×lower-/.f32
4 256×lower-/.f64
3 768×lower-fma.f32
3 758×lower-fma.f64
3 656×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064388
098385
1413286
23209244
08398244
Stop Event
iter limit
node limit
iter limit
Counts
23 → 615
Calls
Call 1
Inputs
(fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) y)
(*.f64 (neg.f64 z) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
(*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)
#s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 (neg.f64 y) x) z #s(literal 1 binary64))) x))
(*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 (neg.f64 y) x) z #s(literal 1 binary64))) x)
#s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 (neg.f64 y) x) z #s(literal 1 binary64)))
(fma.f64 (/.f64 (neg.f64 y) x) z #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x))))
(/.f64 (fma.f64 z y x) (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)))))
(fma.f64 z y x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))
(*.f64 (sin.f64 y) z)
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x))
Outputs
(*.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) z))))
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) z) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) (neg.f64 z)) (-.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) (neg.f64 z)) (*.f64 (cos.f64 y) x))))))
(pow.f64 (/.f64 (fma.f64 (cos.f64 y) x (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) z)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) z) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) (neg.f64 z)) (-.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) (neg.f64 z)) (*.f64 (cos.f64 y) x)))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) z) #s(literal 3 binary64))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) z) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (neg.f64 (-.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) (neg.f64 z)) (*.f64 (cos.f64 y) x))))
(/.f64 (neg.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))) (pow.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) z) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 y) x (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) z)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) z) #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) (neg.f64 z)) (-.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) (neg.f64 z)) (*.f64 (cos.f64 y) x)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) z) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) (neg.f64 z)) (*.f64 (cos.f64 y) x)))
(/.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))) (pow.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) z) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (cos.f64 y) x (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) z))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) z) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) z) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (cos.f64 y) x) (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) (neg.f64 z)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) z) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) (neg.f64 z)) (-.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) (neg.f64 z)) (*.f64 (cos.f64 y) x))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) z) #s(literal 2 binary64))) (fma.f64 (cos.f64 y) x (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) z)))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) z) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) z) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (cos.f64 y) x) (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) (neg.f64 z))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) z) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) (neg.f64 z)) (-.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) (neg.f64 z)) (*.f64 (cos.f64 y) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (cos.f64 y) x (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) z)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) z) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) (neg.f64 z)) (-.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) (neg.f64 z)) (*.f64 (cos.f64 y) x)))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) z) #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) x (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) z)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) z) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) (neg.f64 z)) (-.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) (neg.f64 z)) (*.f64 (cos.f64 y) x)))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) z) #s(literal 3 binary64))))))
(fma.f64 (*.f64 (/.f64 x (cos.f64 y)) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y)))) #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) (neg.f64 z)))
(fma.f64 (*.f64 (*.f64 (neg.f64 z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (sin.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (cos.f64 y) x))
(fma.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) #s(literal -1 binary64)) z (*.f64 (cos.f64 y) x))
(fma.f64 (*.f64 (neg.f64 z) (/.f64 (tan.f64 y) (cos.f64 y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 y) x))
(fma.f64 (*.f64 (neg.f64 z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 (tan.f64 y) (cos.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (cos.f64 y))) (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) (neg.f64 z)))
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(/.f64 (*.f64 (*.f64 (fma.f64 z y x) (fma.f64 z y (neg.f64 x))) (*.f64 (fma.f64 z y x) (fma.f64 z y (neg.f64 x)))) (*.f64 (fma.f64 z y (neg.f64 x)) (neg.f64 (fma.f64 z y x))))
(/.f64 (*.f64 (*.f64 (fma.f64 z y x) (fma.f64 z y (neg.f64 x))) (fma.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (*.f64 (neg.f64 (fma.f64 z y x)) (fma.f64 (*.f64 (*.f64 z y) z) y (*.f64 x (fma.f64 (neg.f64 y) z x)))))
(/.f64 (*.f64 (*.f64 (fma.f64 z y x) (fma.f64 z y (neg.f64 x))) (fma.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (*.f64 (fma.f64 z y (neg.f64 x)) (fma.f64 (*.f64 (*.f64 z y) z) y (*.f64 (fma.f64 z y x) x))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (*.f64 (fma.f64 (*.f64 (*.f64 z y) z) y (*.f64 (fma.f64 z y x) x)) (fma.f64 (*.f64 (*.f64 z y) z) y (*.f64 x (fma.f64 (neg.f64 y) z x)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (*.f64 (fma.f64 (*.f64 (*.f64 z y) z) y (*.f64 x (fma.f64 (neg.f64 y) z x))) (fma.f64 (*.f64 (*.f64 z y) z) y (*.f64 (fma.f64 z y x) x))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) (*.f64 (fma.f64 z y x) (fma.f64 z y (neg.f64 x)))) (*.f64 (fma.f64 (*.f64 (*.f64 z y) z) y (*.f64 (fma.f64 z y x) x)) (fma.f64 z y (neg.f64 x))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) (*.f64 (fma.f64 z y x) (fma.f64 z y (neg.f64 x)))) (*.f64 (fma.f64 (*.f64 (*.f64 z y) z) y (*.f64 x (fma.f64 (neg.f64 y) z x))) (neg.f64 (fma.f64 z y x))))
(fma.f64 (*.f64 (fma.f64 z y x) (neg.f64 z)) y (*.f64 (fma.f64 z y x) x))
(fma.f64 (*.f64 (fma.f64 z y x) y) (neg.f64 z) (*.f64 (fma.f64 z y x) x))
(fma.f64 (*.f64 (neg.f64 y) z) (fma.f64 z y x) (*.f64 (fma.f64 z y x) x))
(fma.f64 (*.f64 z y) (fma.f64 (neg.f64 y) z x) (*.f64 x (fma.f64 (neg.f64 y) z x)))
(fma.f64 (fma.f64 (neg.f64 y) z x) (*.f64 z y) (*.f64 (fma.f64 (neg.f64 y) z x) x))
(fma.f64 (fma.f64 (neg.f64 y) z x) x (*.f64 (fma.f64 (neg.f64 y) z x) (*.f64 z y)))
(fma.f64 (fma.f64 z y x) (*.f64 (neg.f64 y) z) (*.f64 (fma.f64 z y x) x))
(fma.f64 (fma.f64 z y x) x (*.f64 (*.f64 (fma.f64 z y x) y) (neg.f64 z)))
(fma.f64 (neg.f64 z) (*.f64 y (fma.f64 z y x)) (*.f64 (fma.f64 z y x) x))
(fma.f64 x (-.f64 x (*.f64 (neg.f64 y) z)) (*.f64 (*.f64 (fma.f64 z y x) y) (neg.f64 z)))
(fma.f64 x (fma.f64 (neg.f64 y) z x) (*.f64 (*.f64 z y) (fma.f64 (neg.f64 y) z x)))
(fma.f64 x (fma.f64 z y x) (*.f64 (*.f64 (fma.f64 z y x) y) (neg.f64 z)))
(fma.f64 y (*.f64 (neg.f64 z) (fma.f64 z y x)) (*.f64 (fma.f64 z y x) x))
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 z y x) (*.f64 z y)) (*.f64 (fma.f64 z y x) (*.f64 z y))) (-.f64 (*.f64 (*.f64 (fma.f64 z y x) y) (neg.f64 z)) (*.f64 (fma.f64 z y x) x))) (/.f64 (*.f64 (*.f64 (fma.f64 z y x) x) (*.f64 (fma.f64 z y x) x)) (-.f64 (*.f64 (*.f64 (fma.f64 z y x) y) (neg.f64 z)) (*.f64 (fma.f64 z y x) x))))
(+.f64 (*.f64 (*.f64 z y) (fma.f64 (neg.f64 y) z x)) (*.f64 x (fma.f64 (neg.f64 y) z x)))
(+.f64 (*.f64 (fma.f64 (neg.f64 y) z x) (*.f64 z y)) (*.f64 (fma.f64 (neg.f64 y) z x) x))
(+.f64 (*.f64 (fma.f64 (neg.f64 y) z x) x) (*.f64 (fma.f64 (neg.f64 y) z x) (*.f64 z y)))
(+.f64 (*.f64 (fma.f64 z y x) x) (*.f64 (*.f64 (fma.f64 z y x) y) (neg.f64 z)))
(+.f64 (*.f64 (*.f64 (fma.f64 z y x) y) (neg.f64 z)) (*.f64 (fma.f64 z y x) x))
(+.f64 (*.f64 x (fma.f64 (neg.f64 y) z x)) (*.f64 (*.f64 z y) (fma.f64 (neg.f64 y) z x)))

eval383.0ms (3.7%)

Memory
-4.5MiB live, 429.9MiB allocated
Compiler

Compiled 38 377 to 3 013 computations (92.1% saved)

prune279.0ms (2.7%)

Memory
-5.8MiB live, 645.2MiB allocated
Pruning

50 alts after pruning (44 fresh and 6 done)

PrunedKeptTotal
New1 412251 437
Fresh151934
Picked235
Done134
Total1 430501 480
Accuracy
100.0%
Counts
1 480 → 50
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.1%
(fma.f64 (*.f64 (neg.f64 (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (*.f64 (sin.f64 y) z)) (*.f64 (cos.f64 y) x))
99.8%
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
74.6%
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (neg.f64 z) (sin.f64 y)))
51.5%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))
52.5%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
10.6%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 z y) z) y (*.f64 (fma.f64 z y x) x))))
14.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) (*.f64 #s(approx (+ (* z y) x) (*.f64 z y)) (fma.f64 (neg.f64 z) y x)))))
9.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) #s(approx (* (+ (* z y) x) (+ (* (neg z) y) x)) (*.f64 (fma.f64 (neg.f64 y) (*.f64 z z) #s(literal 0 binary64)) y)))))
8.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) #s(approx (* (+ (* z y) x) (+ (* (neg z) y) x)) (*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) (fma.f64 (neg.f64 y) y (/.f64 (*.f64 y x) z))) (*.f64 z z))))))
8.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) #s(approx (* (+ (* z y) x) (+ (* (neg z) y) x)) (*.f64 (*.f64 (neg.f64 z) z) (*.f64 y y))))))
20.8%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) #s(approx (* (+ (* z y) x) (+ (* (neg z) y) x)) (*.f64 x x)))))
39.0%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z)))
39.0%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) (sin.f64 y))))
25.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* z y) x) (fma.f64 (*.f64 y x) (/.f64 z x) x)) (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)))))
39.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
18.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (* (sin y) z) (*.f64 z y)))))
10.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 (*.f64 z y) z) y (*.f64 (fma.f64 z y x) x)))))
37.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* z y) x) (* (+ (* z y) x) (+ (* (neg z) y) x))) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x))))
38.4%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* z y) x) (* (+ (* z y) x) (+ (* (neg z) y) x))) (/.f64 #s(literal 1 binary64) x))))
17.8%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (* (sin y) z)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y))))
88.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z))
10.6%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z y) z) y (*.f64 (fma.f64 z y x) x)))))
39.0%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) z))
51.9%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y x)) (fma.f64 (neg.f64 y) z x)) (fma.f64 z y x)))
39.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
17.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))))
62.8%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
49.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 (neg.f64 y) x) z #s(literal 1 binary64))) x))
32.0%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x))
46.0%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(approx (+ (* (/ (neg y) x) z) 1) (*.f64 (-.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y)))) x))
49.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(approx (+ (* (/ (neg y) x) z) 1) (*.f64 (neg.f64 z) (-.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))))) x))
11.6%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(approx (+ (* (/ (neg y) x) z) 1) (*.f64 (neg.f64 y) (/.f64 z x)))) x))
38.5%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
45.9%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ (+ (* z y) x) (* (+ (* z y) x) (+ (* (neg z) y) x)))) (*.f64 (-.f64 (/.f64 x z) y) z)))
40.3%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ (+ (* z y) x) (* (+ (* z y) x) (+ (* (neg z) y) x)))) (*.f64 (-.f64 (/.f64 x y) z) y)))
17.7%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ -1 (* (sin y) z))) (*.f64 (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))) (*.f64 y y) (*.f64 #s(literal 1/6 binary64) z)) (*.f64 y y) (neg.f64 z)) y)))
17.7%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ -1 (* (sin y) z))) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
18.1%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))
17.7%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) y)))
39.6%
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 0 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 0 binary64)))) y (neg.f64 z)) y x))
99.5%
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) (neg.f64 z))))
62.5%
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) (cos.f64 y)))
62.7%
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (/.f64 x (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 1 binary64)))))
62.2%
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
36.3%
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (*.f64 x #s(approx (/ (+ (* (cos (* 2 y)) 1/2) 1/2) (cos y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
36.4%
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (*.f64 x #s(approx (/ (+ (* (cos (* 2 y)) 1/2) 1/2) (cos y)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
36.3%
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (*.f64 x #s(approx (/ (+ (* (cos (* 2 y)) 1/2) 1/2) (cos y)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)))))
23.8%
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (neg.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y)))))
3.0%
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) #s(approx (+ (* (+ (* (- (neg x) (- (+ (* -1/2 x) (/ (* z z) x)) (/ (* z z) x))) y) (neg z)) y) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal -1/2 binary64))))
36.4%
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) #s(approx (* x (/ (+ (* (cos (* 2 y)) 1/2) 1/2) (cos y))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -2/45 binary64) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/24 binary64) x))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/48 binary64) x (*.f64 #s(literal -1/720 binary64) x)))) (*.f64 y y) (-.f64 (*.f64 #s(literal 1/3 binary64) x) (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/24 binary64) x)))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)))
Compiler

Compiled 2 764 to 865 computations (68.7% saved)

regimes150.0ms (1.5%)

Memory
12.7MiB live, 203.1MiB allocated
Counts
93 → 1
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) #s(approx (+ (* (+ (* (- (neg x) (- (+ (* -1/2 x) (/ (* z z) x)) (/ (* z z) x))) y) (neg z)) y) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal -1/2 binary64))))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (*.f64 x #s(approx (/ (+ (* (cos (* 2 y)) 1/2) 1/2) (cos y)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)))))
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#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))))
(fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) x) (*.f64 (*.f64 (/.f64 z (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(fma.f64 x (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (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 (sin.f64 y) z (*.f64 (cos.f64 y) x))))))
(fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (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 (sin.f64 y) z (*.f64 (cos.f64 y) x))))))
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (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 (sin.f64 y) z (*.f64 (cos.f64 y) x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)))) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)))) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z))) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))))
Outputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Calls

4 calls:

59.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
30.0ms
z
28.0ms
y
28.0ms
x
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)

regimes119.0ms (1.2%)

Memory
-5.6MiB live, 152.3MiB allocated
Counts
63 → 3
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) #s(approx (+ (* (+ (* (- (neg x) (- (+ (* -1/2 x) (/ (* z z) x)) (/ (* z z) x))) y) (neg z)) y) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal -1/2 binary64))))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (*.f64 x #s(approx (/ (+ (* (cos (* 2 y)) 1/2) 1/2) (cos y)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x z) y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ (+ (* z y) x) (* (+ (* z y) x) (+ (* (neg z) y) x)))) (*.f64 (-.f64 (/.f64 x y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ (+ (* z y) x) (* (+ (* z y) x) (+ (* (neg z) y) x)))) (*.f64 (-.f64 (/.f64 x z) y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ -1 (* (sin y) z))) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* z y) x) (* (+ (* z y) x) (+ (* (neg z) y) x))) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(approx (+ (* (/ (neg y) x) z) 1) (*.f64 (neg.f64 y) (/.f64 z x)))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 (neg.f64 y) x) z #s(literal 1 binary64))) x))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (*.f64 x #s(approx (/ (+ (* (cos (* 2 y)) 1/2) 1/2) (cos y)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (* (sin y) z) (*.f64 z y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) #s(approx (* (+ (* z y) x) (+ (* (neg z) y) x)) (*.f64 x x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)) (fma.f64 z y x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 #s(approx (+ (* y (/ z x)) -1) (*.f64 (-.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) z)) (neg.f64 x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 #s(approx (+ (* y (/ z x)) -1) (*.f64 (-.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) y)) y)) (neg.f64 x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(approx (+ (* (/ (neg y) x) z) 1) (*.f64 (neg.f64 z) (-.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(approx (+ (* (/ (neg y) x) z) 1) (*.f64 (-.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y)))) x))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (*.f64 x #s(approx (/ (+ (* (cos (* 2 y)) 1/2) 1/2) (cos y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* z y) x) (* (+ (* z y) x) (+ (* (neg z) y) x))) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y x)) (fma.f64 (neg.f64 y) z x)) (fma.f64 z y x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) #s(approx (* (+ (* z y) x) (+ (* (neg z) y) x)) (*.f64 (*.f64 (neg.f64 z) z) (*.f64 y y))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) #s(approx (* (+ (* z y) x) (+ (* (neg z) y) x)) (*.f64 (fma.f64 (neg.f64 y) (*.f64 z z) #s(literal 0 binary64)) y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) (*.f64 #s(approx (+ (* z y) x) (*.f64 z y)) (fma.f64 (neg.f64 z) y x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))) (*.f64 y y) (*.f64 #s(literal 1/6 binary64) z)) (*.f64 y y) (neg.f64 z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ -1 (* (sin y) z))) (*.f64 (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))) (*.f64 y y) (*.f64 #s(literal 1/6 binary64) z)) (*.f64 y y) (neg.f64 z)) y)))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 0 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 0 binary64)))) y (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (* (sin y) z)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 x x) (fma.f64 z y x)) (/.f64 (*.f64 (*.f64 (*.f64 z y) z) y) (fma.f64 z y x))))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) y (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* z y) x) (fma.f64 (*.f64 y x) (/.f64 z x) x)) (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 (*.f64 z y) (fma.f64 z y x) (*.f64 x x)) (fma.f64 (neg.f64 z) y x)) (fma.f64 (*.f64 z y) (fma.f64 z y x) (*.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 z y) z) y (*.f64 (fma.f64 z y x) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z y) z) y (*.f64 (fma.f64 z y x) x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) #s(approx (* (+ (* z y) x) (+ (* (neg z) y) x)) (*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) (fma.f64 (neg.f64 y) y (/.f64 (*.f64 y x) z))) (*.f64 z z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 (*.f64 z y) z) y (*.f64 (fma.f64 z y x) x)))))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) #s(approx (* x (/ (+ (* (cos (* 2 y)) 1/2) 1/2) (cos y))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -2/45 binary64) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/24 binary64) x))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/48 binary64) x (*.f64 #s(literal -1/720 binary64) x)))) (*.f64 y y) (-.f64 (*.f64 #s(literal 1/3 binary64) x) (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/24 binary64) x)))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 z y) (fma.f64 z y x) (*.f64 x x))) (/.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 z y) (fma.f64 z y x) (*.f64 x x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) z))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) (sin.f64 y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z)))
(-.f64 #s(approx (* x (cos y)) (fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) x)) (*.f64 z (sin.f64 y)))
Outputs
#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)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
Calls

4 calls:

41.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
34.0ms
z
21.0ms
x
20.0ms
y
Results
AccuracySegmentsBranch
86.7%3x
81.5%4y
84.9%3z
76.9%2(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes77.0ms (0.8%)

Memory
7.1MiB live, 168.4MiB allocated
Counts
55 → 4
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) #s(approx (+ (* (+ (* (- (neg x) (- (+ (* -1/2 x) (/ (* z z) x)) (/ (* z z) x))) y) (neg z)) y) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal -1/2 binary64))))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (*.f64 x #s(approx (/ (+ (* (cos (* 2 y)) 1/2) 1/2) (cos y)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x z) y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ (+ (* z y) x) (* (+ (* z y) x) (+ (* (neg z) y) x)))) (*.f64 (-.f64 (/.f64 x y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ (+ (* z y) x) (* (+ (* z y) x) (+ (* (neg z) y) x)))) (*.f64 (-.f64 (/.f64 x z) y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ -1 (* (sin y) z))) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* z y) x) (* (+ (* z y) x) (+ (* (neg z) y) x))) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(approx (+ (* (/ (neg y) x) z) 1) (*.f64 (neg.f64 y) (/.f64 z x)))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 (neg.f64 y) x) z #s(literal 1 binary64))) x))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (*.f64 x #s(approx (/ (+ (* (cos (* 2 y)) 1/2) 1/2) (cos y)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (* (sin y) z) (*.f64 z y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) #s(approx (* (+ (* z y) x) (+ (* (neg z) y) x)) (*.f64 x x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)) (fma.f64 z y x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 #s(approx (+ (* y (/ z x)) -1) (*.f64 (-.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) z)) (neg.f64 x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 #s(approx (+ (* y (/ z x)) -1) (*.f64 (-.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) y)) y)) (neg.f64 x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(approx (+ (* (/ (neg y) x) z) 1) (*.f64 (neg.f64 z) (-.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(approx (+ (* (/ (neg y) x) z) 1) (*.f64 (-.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y)))) x))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (*.f64 x #s(approx (/ (+ (* (cos (* 2 y)) 1/2) 1/2) (cos y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* z y) x) (* (+ (* z y) x) (+ (* (neg z) y) x))) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y x)) (fma.f64 (neg.f64 y) z x)) (fma.f64 z y x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) #s(approx (* (+ (* z y) x) (+ (* (neg z) y) x)) (*.f64 (*.f64 (neg.f64 z) z) (*.f64 y y))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) #s(approx (* (+ (* z y) x) (+ (* (neg z) y) x)) (*.f64 (fma.f64 (neg.f64 y) (*.f64 z z) #s(literal 0 binary64)) y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) (*.f64 #s(approx (+ (* z y) x) (*.f64 z y)) (fma.f64 (neg.f64 z) y x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))) (*.f64 y y) (*.f64 #s(literal 1/6 binary64) z)) (*.f64 y y) (neg.f64 z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ -1 (* (sin y) z))) (*.f64 (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))) (*.f64 y y) (*.f64 #s(literal 1/6 binary64) z)) (*.f64 y y) (neg.f64 z)) y)))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 0 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 0 binary64)))) y (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (* (sin y) z)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 x x) (fma.f64 z y x)) (/.f64 (*.f64 (*.f64 (*.f64 z y) z) y) (fma.f64 z y x))))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) y (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* z y) x) (fma.f64 (*.f64 y x) (/.f64 z x) x)) (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 (*.f64 z y) (fma.f64 z y x) (*.f64 x x)) (fma.f64 (neg.f64 z) y x)) (fma.f64 (*.f64 z y) (fma.f64 z y x) (*.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 z y) z) y (*.f64 (fma.f64 z y x) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z y) z) y (*.f64 (fma.f64 z y x) x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) #s(approx (* (+ (* z y) x) (+ (* (neg z) y) x)) (*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) (fma.f64 (neg.f64 y) y (/.f64 (*.f64 y x) z))) (*.f64 z z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 (*.f64 z y) z) y (*.f64 (fma.f64 z y x) x)))))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) #s(approx (* x (/ (+ (* (cos (* 2 y)) 1/2) 1/2) (cos y))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -2/45 binary64) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/24 binary64) x))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/48 binary64) x (*.f64 #s(literal -1/720 binary64) x)))) (*.f64 y y) (-.f64 (*.f64 #s(literal 1/3 binary64) x) (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/24 binary64) x)))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 z y) (fma.f64 z y x) (*.f64 x x))) (/.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 z y) (fma.f64 z y x) (*.f64 x x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
Calls

4 calls:

20.0ms
z
19.0ms
x
17.0ms
y
17.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Results
AccuracySegmentsBranch
62.8%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
79.8%4y
77.1%3z
77.6%3x
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes21.0ms (0.2%)

Memory
3.7MiB live, 41.2MiB allocated
Counts
54 → 3
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) #s(approx (+ (* (+ (* (- (neg x) (- (+ (* -1/2 x) (/ (* z z) x)) (/ (* z z) x))) y) (neg z)) y) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal -1/2 binary64))))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (*.f64 x #s(approx (/ (+ (* (cos (* 2 y)) 1/2) 1/2) (cos y)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x z) y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ (+ (* z y) x) (* (+ (* z y) x) (+ (* (neg z) y) x)))) (*.f64 (-.f64 (/.f64 x y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ (+ (* z y) x) (* (+ (* z y) x) (+ (* (neg z) y) x)))) (*.f64 (-.f64 (/.f64 x z) y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ -1 (* (sin y) z))) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* z y) x) (* (+ (* z y) x) (+ (* (neg z) y) x))) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(approx (+ (* (/ (neg y) x) z) 1) (*.f64 (neg.f64 y) (/.f64 z x)))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 (neg.f64 y) x) z #s(literal 1 binary64))) x))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (*.f64 x #s(approx (/ (+ (* (cos (* 2 y)) 1/2) 1/2) (cos y)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (* (sin y) z) (*.f64 z y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) #s(approx (* (+ (* z y) x) (+ (* (neg z) y) x)) (*.f64 x x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)) (fma.f64 z y x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 #s(approx (+ (* y (/ z x)) -1) (*.f64 (-.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) z)) (neg.f64 x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 #s(approx (+ (* y (/ z x)) -1) (*.f64 (-.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) y)) y)) (neg.f64 x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(approx (+ (* (/ (neg y) x) z) 1) (*.f64 (neg.f64 z) (-.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(approx (+ (* (/ (neg y) x) z) 1) (*.f64 (-.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y)))) x))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (*.f64 x #s(approx (/ (+ (* (cos (* 2 y)) 1/2) 1/2) (cos y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* z y) x) (* (+ (* z y) x) (+ (* (neg z) y) x))) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y x)) (fma.f64 (neg.f64 y) z x)) (fma.f64 z y x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) #s(approx (* (+ (* z y) x) (+ (* (neg z) y) x)) (*.f64 (*.f64 (neg.f64 z) z) (*.f64 y y))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) #s(approx (* (+ (* z y) x) (+ (* (neg z) y) x)) (*.f64 (fma.f64 (neg.f64 y) (*.f64 z z) #s(literal 0 binary64)) y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) (*.f64 #s(approx (+ (* z y) x) (*.f64 z y)) (fma.f64 (neg.f64 z) y x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))) (*.f64 y y) (*.f64 #s(literal 1/6 binary64) z)) (*.f64 y y) (neg.f64 z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ -1 (* (sin y) z))) (*.f64 (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))) (*.f64 y y) (*.f64 #s(literal 1/6 binary64) z)) (*.f64 y y) (neg.f64 z)) y)))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 0 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 0 binary64)))) y (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (* (sin y) z)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 x x) (fma.f64 z y x)) (/.f64 (*.f64 (*.f64 (*.f64 z y) z) y) (fma.f64 z y x))))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) y (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* z y) x) (fma.f64 (*.f64 y x) (/.f64 z x) x)) (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 (*.f64 z y) (fma.f64 z y x) (*.f64 x x)) (fma.f64 (neg.f64 z) y x)) (fma.f64 (*.f64 z y) (fma.f64 z y x) (*.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 z y) z) y (*.f64 (fma.f64 z y x) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z y) z) y (*.f64 (fma.f64 z y x) x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) #s(approx (* (+ (* z y) x) (+ (* (neg z) y) x)) (*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) (fma.f64 (neg.f64 y) y (/.f64 (*.f64 y x) z))) (*.f64 z z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 (*.f64 z y) z) y (*.f64 (fma.f64 z y x) x)))))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) #s(approx (* x (/ (+ (* (cos (* 2 y)) 1/2) 1/2) (cos y))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -2/45 binary64) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/24 binary64) x))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/48 binary64) x (*.f64 #s(literal -1/720 binary64) x)))) (*.f64 y y) (-.f64 (*.f64 #s(literal 1/3 binary64) x) (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/24 binary64) x)))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 z y) (fma.f64 z y x) (*.f64 x x))) (/.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 z y) (fma.f64 z y x) (*.f64 x x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
Calls

1 calls:

18.0ms
y
Results
AccuracySegmentsBranch
77.8%3y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes76.0ms (0.7%)

Memory
-5.8MiB live, 146.4MiB allocated
Counts
53 → 1
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) #s(approx (+ (* (+ (* (- (neg x) (- (+ (* -1/2 x) (/ (* z z) x)) (/ (* z z) x))) y) (neg z)) y) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal -1/2 binary64))))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (*.f64 x #s(approx (/ (+ (* (cos (* 2 y)) 1/2) 1/2) (cos y)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x z) y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ (+ (* z y) x) (* (+ (* z y) x) (+ (* (neg z) y) x)))) (*.f64 (-.f64 (/.f64 x y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ (+ (* z y) x) (* (+ (* z y) x) (+ (* (neg z) y) x)))) (*.f64 (-.f64 (/.f64 x z) y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ -1 (* (sin y) z))) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* z y) x) (* (+ (* z y) x) (+ (* (neg z) y) x))) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(approx (+ (* (/ (neg y) x) z) 1) (*.f64 (neg.f64 y) (/.f64 z x)))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 (neg.f64 y) x) z #s(literal 1 binary64))) x))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (*.f64 x #s(approx (/ (+ (* (cos (* 2 y)) 1/2) 1/2) (cos y)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (* (sin y) z) (*.f64 z y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) #s(approx (* (+ (* z y) x) (+ (* (neg z) y) x)) (*.f64 x x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)) (fma.f64 z y x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 #s(approx (+ (* y (/ z x)) -1) (*.f64 (-.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) z)) (neg.f64 x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 #s(approx (+ (* y (/ z x)) -1) (*.f64 (-.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) y)) y)) (neg.f64 x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(approx (+ (* (/ (neg y) x) z) 1) (*.f64 (neg.f64 z) (-.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(approx (+ (* (/ (neg y) x) z) 1) (*.f64 (-.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y)))) x))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (*.f64 x #s(approx (/ (+ (* (cos (* 2 y)) 1/2) 1/2) (cos y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* z y) x) (* (+ (* z y) x) (+ (* (neg z) y) x))) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y x)) (fma.f64 (neg.f64 y) z x)) (fma.f64 z y x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) #s(approx (* (+ (* z y) x) (+ (* (neg z) y) x)) (*.f64 (*.f64 (neg.f64 z) z) (*.f64 y y))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) #s(approx (* (+ (* z y) x) (+ (* (neg z) y) x)) (*.f64 (fma.f64 (neg.f64 y) (*.f64 z z) #s(literal 0 binary64)) y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) (*.f64 #s(approx (+ (* z y) x) (*.f64 z y)) (fma.f64 (neg.f64 z) y x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))) (*.f64 y y) (*.f64 #s(literal 1/6 binary64) z)) (*.f64 y y) (neg.f64 z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ -1 (* (sin y) z))) (*.f64 (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))) (*.f64 y y) (*.f64 #s(literal 1/6 binary64) z)) (*.f64 y y) (neg.f64 z)) y)))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 0 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 0 binary64)))) y (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (* (sin y) z)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 x x) (fma.f64 z y x)) (/.f64 (*.f64 (*.f64 (*.f64 z y) z) y) (fma.f64 z y x))))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) y (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* z y) x) (fma.f64 (*.f64 y x) (/.f64 z x) x)) (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 (*.f64 z y) (fma.f64 z y x) (*.f64 x x)) (fma.f64 (neg.f64 z) y x)) (fma.f64 (*.f64 z y) (fma.f64 z y x) (*.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 z y) z) y (*.f64 (fma.f64 z y x) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z y) z) y (*.f64 (fma.f64 z y x) x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) #s(approx (* (+ (* z y) x) (+ (* (neg z) y) x)) (*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) (fma.f64 (neg.f64 y) y (/.f64 (*.f64 y x) z))) (*.f64 z z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 (*.f64 z y) z) y (*.f64 (fma.f64 z y x) x)))))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) #s(approx (* x (/ (+ (* (cos (* 2 y)) 1/2) 1/2) (cos y))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -2/45 binary64) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/24 binary64) x))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/48 binary64) x (*.f64 #s(literal -1/720 binary64) x)))) (*.f64 y y) (-.f64 (*.f64 #s(literal 1/3 binary64) x) (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/24 binary64) x)))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 z y) (fma.f64 z y x) (*.f64 x x))) (/.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 z y) (fma.f64 z y x) (*.f64 x x)))))
Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
Calls

4 calls:

18.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
17.0ms
z
17.0ms
x
15.0ms
y
Results
AccuracySegmentsBranch
52.5%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
52.5%1z
52.5%1x
52.5%1y
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes12.0ms (0.1%)

Memory
-25.2MiB live, 22.4MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
Calls

4 calls:

5.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
2.0ms
x
2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
52.5%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
52.5%1x
52.5%1y
52.5%1z
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes7.0ms (0.1%)

Memory
23.2MiB live, 23.2MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))
Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
Calls

4 calls:

2.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
2.0ms
z
2.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
38.5%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
44.6%3x
42.4%3y
43.3%2z
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes5.0ms (0%)

Memory
-24.8MiB live, 14.9MiB 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 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
Calls

3 calls:

2.0ms
y
1.0ms
z
1.0ms
x
Results
AccuracySegmentsBranch
38.5%1y
38.5%1x
38.5%1z
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch33.0ms (0.3%)

Memory
18.1MiB live, 97.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
9.210041825384167e+116
3.364617261229206e+121
15.0ms
-2.8372542453596347e+25
-1.4383156055187664e+23
Samples
22.0ms240×0valid
Compiler

Compiled 345 to 239 computations (30.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-cos: 6.0ms (37.3% of total)
ival-sin: 6.0ms (37.3% of total)
ival-mult: 3.0ms (18.6% of total)
ival-sub: 1.0ms (6.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch70.0ms (0.7%)

Memory
-16.9MiB live, 103.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
38.0ms
8.770202759645477e-20
2.0016447544424086e-9
15.0ms
-1.351146258842585e-5
-1.0572931525699704e-16
13.0ms
-3.8055848715329543e+230
-1.7505826070537582e+230
Samples
51.0ms400×0valid
Compiler

Compiled 490 to 319 computations (34.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-cos: 28.0ms (66.4% of total)
ival-sin: 7.0ms (16.6% of total)
ival-mult: 5.0ms (11.9% of total)
ival-sub: 2.0ms (4.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
3.5MiB live, 3.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
8.770202759645477e-20
2.0016447544424086e-9
1.0ms
-1.351146258842585e-5
-1.0572931525699704e-16
Compiler

Compiled 395 to 254 computations (35.7% saved)

bsearch15.0ms (0.1%)

Memory
25.4MiB live, 25.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
-6.250416294132738e+25
-1.4696045424471256e+24
Samples
10.0ms112×0valid
Compiler

Compiled 148 to 98 computations (33.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-cos: 3.0ms (43.3% of total)
ival-sin: 2.0ms (28.8% of total)
ival-mult: 1.0ms (14.4% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify9.0ms (0.1%)

Memory
-21.7MiB live, 17.2MiB allocated
Algorithm
egg-herbie
Rules
24×*-commutative_binary64
16×+-commutative_binary64
16×sub-neg_binary64
10×neg-sub0_binary64
10×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058279
184279
2101279
3109279
4113279
5114279
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -10499999999999999555403776 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 x #s(literal 2400000000000000009345789433497870626275654845504993963566880677600881888545549925788566546044102057161926408187727052800 binary64)) (-.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 (cos.f64 y) x))))
(if (<=.f64 y #s(literal -380000000000000007671525530042951490817617506576277693365931989666292612064506224391406290843455243210661899492542348012232838766610804031758300377407415517221739144937877146224432870028434877745892802087735722279853720674345418752 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 y #s(literal -3984496719921263/295147905179352825856 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 4835703278458517/2417851639229258349412352 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)))))
(if (<=.f64 y #s(literal -3984496719921263/295147905179352825856 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 4835703278458517/2417851639229258349412352 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
(if (<=.f64 z #s(literal -47999999999999999194693632 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
Outputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(if (<=.f64 x #s(literal -10499999999999999555403776 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 x #s(literal 2400000000000000009345789433497870626275654845504993963566880677600881888545549925788566546044102057161926408187727052800 binary64)) (-.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 (cos.f64 y) x))))
(if (<=.f64 x #s(literal -10499999999999999555403776 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 x #s(literal 2400000000000000009345789433497870626275654845504993963566880677600881888545549925788566546044102057161926408187727052800 binary64)) (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 (sin.f64 y) z)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
(if (<=.f64 y #s(literal -380000000000000007671525530042951490817617506576277693365931989666292612064506224391406290843455243210661899492542348012232838766610804031758300377407415517221739144937877146224432870028434877745892802087735722279853720674345418752 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 y #s(literal -3984496719921263/295147905179352825856 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 4835703278458517/2417851639229258349412352 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)))))
(if (<=.f64 y #s(literal -3984496719921263/295147905179352825856 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 4835703278458517/2417851639229258349412352 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
(if (<=.f64 z #s(literal -47999999999999999194693632 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))

soundness802.0ms (7.8%)

Memory
12.7MiB live, 449.0MiB allocated
Rules
12 044×lower-fma.f64
12 044×lower-fma.f32
8 896×lower-fma.f64
8 896×lower-fma.f32
7 688×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010059729
135269457
083159219
097624
1292619
2840613
32068607
43600607
56269607
08467586
06028905
120298506
274178466
081378096
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 294 to 146 computations (50.3% saved)

preprocess65.0ms (0.6%)

Memory
4.6MiB live, 122.8MiB allocated
Compiler

Compiled 282 to 88 computations (68.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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