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

Time bar (total: 11.0s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

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

Compiled 11 to 10 computations (9.1% saved)

sample1.1s (10.3%)

Memory
-2.3MiB live, 1 577.2MiB allocated
Samples
851.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 651.0ms
ival-cos: 235.0ms (36.1% of total)
ival-sin: 226.0ms (34.7% of total)
ival-mult: 134.0ms (20.6% of total)
ival-sub: 47.0ms (7.2% of total)
ival-true: 6.0ms (0.9% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain137.0ms (1.2%)

Memory
32.0MiB live, 266.0MiB 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
81.0ms512×0valid
Compiler

Compiled 64 to 28 computations (56.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-sin: 13.0ms (34.7% of total)
ival-cos: 12.0ms (32.1% of total)
ival-mult: 7.0ms (18.7% of total)
ival-sub: 5.0ms (13.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess58.0ms (0.5%)

Memory
12.3MiB live, 49.0MiB allocated
Algorithm
egg-herbie
Rules
208×lower-fma.f64
208×lower-fma.f32
178×distribute-lft-neg-in
166×associate-*r*
148×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 12 to 8 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.7MiB live, 1.7MiB 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)

simplify15.0ms (0.1%)

Memory
-9.8MiB live, 28.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize43.0ms (0.4%)

Memory
-0.5MiB live, 81.4MiB 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)))
accuracy0.11328125
(*.f64 x (cos.f64 y))
accuracy0.13671875
(*.f64 z (sin.f64 y))
Samples
34.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-cos: 7.0ms (39.5% of total)
ival-sin: 6.0ms (33.9% of total)
ival-mult: 4.0ms (22.6% of total)
ival-sub: 1.0ms (5.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
-13.9MiB live, 23.4MiB 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 (* -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 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 (*.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 (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 (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)) (* 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 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 (* -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 (* -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 (* 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 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 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 (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 (* 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 (* 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 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 (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 (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 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 (* 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 (* 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 (* 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 (* 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 (* 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>) () ())) ())
Calls

24 calls:

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

simplify262.0ms (2.4%)

Memory
4.9MiB live, 344.4MiB allocated
Algorithm
egg-herbie
Rules
12 044×lower-fma.f64
12 044×lower-fma.f32
4 682×lower-*.f64
4 682×lower-*.f32
1 796×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097624
1292619
2837613
32075607
43601607
56258607
08452586
Stop Event
iter limit
node limit
Counts
96 → 94
Calls
Call 1
Inputs
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
Outputs
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ x (* y (- (* -1/2 (* x y)) z)))
(-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(-.f64 x (*.f64 y (fma.f64 y (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 x #s(literal 1/2 binary64))) z)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
x
(+ x (* -1/2 (* x (pow y 2))))
(fma.f64 y (*.f64 x (*.f64 y #s(literal -1/2 binary64))) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(fma.f64 (*.f64 y x) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(fma.f64 y (*.f64 y (*.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))) x)
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* y z)
(*.f64 z y)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(*.f64 y (fma.f64 z (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(*.f64 y (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) z))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))

rewrite382.0ms (3.5%)

Memory
35.1MiB live, 602.8MiB 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 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 (neg.f64 (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(+.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (neg.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))))
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) #s(literal -1 binary64)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(-.f64 (fma.f64 x (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y)))
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(cos.f64 y)
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eval41.0ms (0.4%)

Memory
-5.8MiB live, 106.1MiB allocated
Compiler

Compiled 15 516 to 726 computations (95.3% saved)

prune76.0ms (0.7%)

Memory
-13.7MiB live, 180.5MiB allocated
Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New30619325
Fresh000
Picked011
Done000
Total30620326
Accuracy
99.9%
Counts
326 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.6%
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y)))
74.9%
(fma.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
99.8%
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
74.9%
(fma.f64 x (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
48.2%
(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
31.8%
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
37.0%
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) (*.f64 #s(literal 0 binary64) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))))
99.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
42.8%
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
58.6%
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y)))
42.8%
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) z))))
47.6%
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 y (fma.f64 z (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z))))
69.0%
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
48.2%
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
40.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y)))
42.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
40.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 y (fma.f64 y (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 x #s(literal 1/2 binary64))) z))))
66.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
35.6%
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
Compiler

Compiled 984 to 502 computations (49% saved)

simplify275.0ms (2.5%)

Memory
11.4MiB live, 351.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
cost-diff128
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
cost-diff128
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
cost-diff6720
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
cost-diff0
#s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))
cost-diff0
(cos.f64 y)
cost-diff0
(*.f64 x (cos.f64 y))
cost-diff0
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 z (sin.f64 y))
cost-diff0
(neg.f64 (*.f64 z (sin.f64 y)))
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
cost-diff0
(*.f64 z y)
cost-diff0
(-.f64 x (*.f64 z y))
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
cost-diff0
(*.f64 x (cos.f64 y))
cost-diff0
(neg.f64 z)
cost-diff0
(sin.f64 y)
cost-diff0
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
Rules
11 876×lower-fma.f32
11 866×lower-fma.f64
4 338×lower-*.f32
4 318×lower-*.f64
2 950×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041304
073294
1141294
2274294
3671294
41818290
53479288
65318288
77944288
08518281
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(sin.f64 y)
y
(neg.f64 z)
z
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
(-.f64 x (*.f64 z y))
x
(*.f64 z y)
z
y
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
y
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
#s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))
(*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))
z
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(*.f64 y y)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(*.f64 y (*.f64 y y))
(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))
(cos.f64 (+.f64 y y))
(+.f64 y y)
y
(neg.f64 (*.f64 z z))
(*.f64 z z)
z
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
(*.f64 x x)
x
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(cos.f64 y)
(*.f64 z (sin.f64 y))
(sin.f64 y)
Outputs
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(sin.f64 y)
y
(neg.f64 z)
z
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 y z)))
(-.f64 x (*.f64 z y))
(-.f64 x (*.f64 y z))
x
(*.f64 z y)
(*.f64 y z)
z
y
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
z
(sin.f64 y)
y
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
#s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))
#s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))
(*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))
(*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))
z
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(*.f64 y y)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(*.f64 y (*.f64 y y))
(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) (fma.f64 x x (*.f64 z z)) (*.f64 (-.f64 x z) (+.f64 z x)))) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) (fma.f64 x x (*.f64 z z)) (*.f64 (-.f64 x z) (+.f64 z x))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))
(cos.f64 (+.f64 y y))
(+.f64 y y)
y
(neg.f64 (*.f64 z z))
(*.f64 z (neg.f64 z))
(*.f64 z z)
z
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
(*.f64 x x)
x
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(cos.f64 y)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(sin.f64 y)

localize296.0ms (2.7%)

Memory
-9.1MiB live, 261.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.5304359563123087
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
accuracy4.890033546232725
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
accuracy10.93447204763716
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
accuracy28.65852769141842
(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
accuracy0.08984375
(*.f64 y (*.f64 y y))
accuracy0.11328125
(*.f64 x (cos.f64 y))
accuracy2.159312471312772
(*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))
accuracy38.28923889290692
#s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))
accuracy0
(sin.f64 y)
accuracy0
(neg.f64 (*.f64 z (sin.f64 y)))
accuracy0.13671875
(*.f64 z (sin.f64 y))
accuracy41.145942432120115
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
accuracy0
(*.f64 z y)
accuracy0.01171875
(-.f64 x (*.f64 z y))
accuracy36.96441231445891
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
accuracy0
(neg.f64 z)
accuracy0
(cos.f64 y)
accuracy0.08984375
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
accuracy0.11328125
(*.f64 x (cos.f64 y))
Samples
171.0ms160×0valid
39.0ms57×1valid
34.0ms39×2valid
Compiler

Compiled 272 to 39 computations (85.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 212.0ms
ival-mult: 133.0ms (62.8% of total)
ival-cos: 30.0ms (14.2% of total)
adjust: 12.0ms (5.7% of total)
ival-add: 10.0ms (4.7% of total)
const: 8.0ms (3.8% of total)
ival-sin: 8.0ms (3.8% of total)
ival-sub: 4.0ms (1.9% of total)
ival-neg: 3.0ms (1.4% of total)
ival-div: 2.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series54.0ms (0.5%)

Memory
6.7MiB live, 83.3MiB allocated
Counts
19 → 468
Calls
Call 1
Inputs
#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<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))) (neg.f64 (*.f64 z (sin.f64 y)))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y)))) #<representation binary64>) () ())
#s(alt (neg.f64 (*.f64 z (sin.f64 y))) (patch (neg.f64 (*.f64 z (sin.f64 y))) #<representation binary64>) () ())
#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) (patch (-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) #<representation binary64>) () ())
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))) (patch #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (patch (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) #<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 (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (patch (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #<representation binary64>) () ())
#s(alt (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (patch (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #<representation binary64>) () ())
#s(alt (*.f64 y (*.f64 y y)) (patch (*.f64 y (*.f64 y y)) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y z))) (taylor 0 y) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) (taylor 0 y) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) (taylor 0 y) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor inf y) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor inf y) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor inf y) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor inf y) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor -inf y) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor -inf y) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor -inf y) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor -inf y) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor inf z) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) (taylor inf z) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) (taylor inf z) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) (taylor inf z) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor -inf z) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) (taylor -inf z) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) (taylor -inf z) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) (taylor -inf z) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor 0 x) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 x) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 x) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 x) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor inf x) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) (taylor inf x) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) (taylor inf x) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) (taylor inf x) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1/6 (pow y 2)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (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 (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<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 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 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 (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 (* 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 (* 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>) () ())) ())
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#s(alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (patch (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* z (* (sin y) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* x (cos y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (patch (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) (taylor 0 z) (#s(alt (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (patch (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) (taylor 0 z) (#s(alt (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (patch (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) (taylor 0 z) (#s(alt (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (patch (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) (taylor 0 z) (#s(alt (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (patch (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) (taylor inf z) (#s(alt (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (patch (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) (taylor inf z) (#s(alt (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (patch (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) (taylor inf z) (#s(alt (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (patch (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) (taylor inf z) (#s(alt (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (patch (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) (taylor -inf z) (#s(alt (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (patch (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) (taylor -inf z) (#s(alt (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (patch (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) (taylor -inf z) (#s(alt (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (patch (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) (taylor -inf z) (#s(alt (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (patch (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 y) (#s(alt (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (patch (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ z (* -1/6 (* (pow y 2) z)))) (taylor 0 y) (#s(alt (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (patch (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #<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 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (patch (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #<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 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (patch (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (* (pow y 5) z)) (taylor inf y) (#s(alt (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (patch (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))) (taylor inf y) (#s(alt (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (patch (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4))))) (taylor inf y) (#s(alt (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (patch (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4))))) (taylor inf y) (#s(alt (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (patch (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (* (pow y 5) z)) (taylor -inf y) (#s(alt (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (patch (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow y 5) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2)))))) (taylor -inf y) (#s(alt (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (patch (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2))))))) (taylor -inf y) (#s(alt (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (patch (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2))))))) (taylor -inf y) (#s(alt (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (patch (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor 0 y) (#s(alt (*.f64 y (*.f64 y y)) (patch (*.f64 y (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor 0 y) (#s(alt (*.f64 y (*.f64 y y)) (patch (*.f64 y (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor 0 y) (#s(alt (*.f64 y (*.f64 y y)) (patch (*.f64 y (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor 0 y) (#s(alt (*.f64 y (*.f64 y y)) (patch (*.f64 y (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor inf y) (#s(alt (*.f64 y (*.f64 y y)) (patch (*.f64 y (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor inf y) (#s(alt (*.f64 y (*.f64 y y)) (patch (*.f64 y (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor inf y) (#s(alt (*.f64 y (*.f64 y y)) (patch (*.f64 y (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor inf y) (#s(alt (*.f64 y (*.f64 y y)) (patch (*.f64 y (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor -inf y) (#s(alt (*.f64 y (*.f64 y y)) (patch (*.f64 y (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor -inf y) (#s(alt (*.f64 y (*.f64 y y)) (patch (*.f64 y (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor -inf y) (#s(alt (*.f64 y (*.f64 y y)) (patch (*.f64 y (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor -inf y) (#s(alt (*.f64 y (*.f64 y y)) (patch (*.f64 y (*.f64 y y)) #<representation binary64>) () ())) ())
Calls

117 calls:

TimeVariablePointExpression
8.0ms
z
@0
(+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))))
2.0ms
z
@0
(* z (+ (* (+ (* (* y y) 1/120) -1/6) (* y (* y y))) y))
1.0ms
y
@inf
(+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))))
1.0ms
y
@-inf
(+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))))
1.0ms
z
@inf
(neg z)

simplify316.0ms (2.9%)

Memory
-11.5MiB live, 426.7MiB allocated
Algorithm
egg-herbie
Rules
9 634×lower-fma.f64
9 634×lower-fma.f32
7 786×lower-*.f64
7 786×lower-*.f32
2 174×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04935749
116555528
259065460
083385167
Stop Event
iter limit
node limit
Counts
468 → 457
Calls
Call 1
Inputs
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (sin y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
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(* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))
(* x (- (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (+ (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))
(* x (- (+ (* -1 (/ (* z (* (sin y) (- (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3)))))) (* (pow x 3) (cos y)))) (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))) (+ (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x)))))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* z (* (sin y) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* x (cos y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x)))))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(* 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) (* 1/120 (* (pow y 2) z))))))
(* 1/120 (* (pow y 5) z))
(* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))
(* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))
(* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))
(* 1/120 (* (pow y 5) z))
(* -1 (* (pow y 5) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2))))))
(* -1 (* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2)))))))
(* -1 (* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2)))))))
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
Outputs
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 y z))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x)
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(* -1 (* z (sin y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(* -1 (* z (sin y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(* -1 (* z (sin y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
x
(+ x (* -1/2 (* x (pow y 2))))
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal 1/24 binary64))) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))) (*.f64 x #s(literal -1/2 binary64))) x)
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* z (sin y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 y z))
(+ x (* y (- (* -1/2 (* x y)) z)))
(fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x)
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(- (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(* -1 (* z (sin y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(* -1 (* z (sin y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(* -1 (* y z))
(*.f64 y (neg.f64 z))
(- x (* y z))
(-.f64 x (*.f64 y z))
(- x (* y z))
(-.f64 x (*.f64 y z))
(- x (* y z))
(-.f64 x (*.f64 y z))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(fma.f64 x (/.f64 (*.f64 y (neg.f64 z)) x) x)
(* x (+ 1 (* -1 (/ (* y z) x))))
(fma.f64 x (/.f64 (*.f64 y (neg.f64 z)) x) x)
(* x (+ 1 (* -1 (/ (* y z) x))))
(fma.f64 x (/.f64 (*.f64 y (neg.f64 z)) x) x)
x
(* -1 (* x (- (/ (* y z) x) 1)))
(fma.f64 x (/.f64 (*.f64 y (neg.f64 z)) x) x)
(* -1 (* x (- (/ (* y z) x) 1)))
(fma.f64 x (/.f64 (*.f64 y (neg.f64 z)) x) x)
(* -1 (* x (- (/ (* y z) x) 1)))
(fma.f64 x (/.f64 (*.f64 y (neg.f64 z)) x) x)
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 y z))
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 y z))
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 y z))
(* -1 (* y z))
(*.f64 y (neg.f64 z))
(* z (- (/ x z) y))
(*.f64 z (-.f64 (/.f64 x z) y))
(* z (- (/ x z) y))
(*.f64 z (-.f64 (/.f64 x z) y))
(* z (- (/ x z) y))
(*.f64 z (-.f64 (/.f64 x z) y))
(* -1 (* y z))
(*.f64 y (neg.f64 z))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(*.f64 z (-.f64 (/.f64 x z) y))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(*.f64 z (-.f64 (/.f64 x z) y))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(*.f64 z (-.f64 (/.f64 x z) y))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 y z))
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 y z))
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 y z))
(* -1 (* y z))
(*.f64 y (neg.f64 z))
(* y (- (/ x y) z))
(*.f64 y (-.f64 (/.f64 x y) z))
(* y (- (/ x y) z))
(*.f64 y (-.f64 (/.f64 x y) z))
(* y (- (/ x y) z))
(*.f64 y (-.f64 (/.f64 x y) z))
(* -1 (* y z))
(*.f64 y (neg.f64 z))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(*.f64 y (-.f64 (/.f64 x y) z))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(*.f64 y (-.f64 (/.f64 x y) z))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(*.f64 y (-.f64 (/.f64 x y) z))
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* -1 (* z (sin y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
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(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x)))))
(*.f64 x (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 z z) (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))) x)) x)))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* z (* (sin y) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* x (cos y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x)))))
(*.f64 x (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (fma.f64 z (*.f64 (*.f64 (neg.f64 (*.f64 z z)) (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))) (/.f64 (sin.f64 y) (*.f64 x (cos.f64 y)))) (*.f64 (*.f64 z z) (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))))) x)) x)))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 z (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y) y))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 z (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y) y))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 z (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y) y))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 z (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y) y))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 z (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y) y))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 z (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y) y))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 z (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y) y))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 z (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y) y))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 z (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y) y))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 z (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y) y))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 z (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y) y))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 z (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y) y))
(* y z)
(*.f64 y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(*.f64 y (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))) z))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(*.f64 z (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y) y))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(*.f64 z (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y) y))
(* 1/120 (* (pow y 5) z))
(*.f64 #s(literal 1/120 binary64) (*.f64 z (pow.f64 y #s(literal 5 binary64))))
(* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))
(*.f64 (pow.f64 y #s(literal 5 binary64)) (fma.f64 z #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 z (*.f64 y y)))))
(* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))
(*.f64 (pow.f64 y #s(literal 5 binary64)) (fma.f64 z #s(literal 1/120 binary64) (fma.f64 z (/.f64 #s(literal -1/6 binary64) (*.f64 y y)) (/.f64 z (*.f64 (*.f64 y y) (*.f64 y y))))))
(* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))
(*.f64 (pow.f64 y #s(literal 5 binary64)) (fma.f64 z #s(literal 1/120 binary64) (fma.f64 z (/.f64 #s(literal -1/6 binary64) (*.f64 y y)) (/.f64 z (*.f64 (*.f64 y y) (*.f64 y y))))))
(* 1/120 (* (pow y 5) z))
(*.f64 #s(literal 1/120 binary64) (*.f64 z (pow.f64 y #s(literal 5 binary64))))
(* -1 (* (pow y 5) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2))))))
(*.f64 (pow.f64 y #s(literal 5 binary64)) (fma.f64 z #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 z (*.f64 y y)))))
(* -1 (* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2)))))))
(*.f64 (pow.f64 y #s(literal 5 binary64)) (fma.f64 z #s(literal 1/120 binary64) (fma.f64 z (/.f64 #s(literal -1/6 binary64) (*.f64 y y)) (/.f64 z (*.f64 (*.f64 y y) (*.f64 y y))))))
(* -1 (* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2)))))))
(*.f64 (pow.f64 y #s(literal 5 binary64)) (fma.f64 z #s(literal 1/120 binary64) (fma.f64 z (/.f64 #s(literal -1/6 binary64) (*.f64 y y)) (/.f64 z (*.f64 (*.f64 y y) (*.f64 y y))))))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))

rewrite596.0ms (5.4%)

Memory
-127.3MiB live, 560.2MiB allocated
Rules
7 642×lower-fma.f32
7 632×lower-fma.f64
5 548×lower-*.f32
5 528×lower-*.f64
4 828×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041206
073173
1262153
21985153
09438153
Stop Event
iter limit
node limit
iter limit
Counts
19 → 603
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(sin.f64 y)
(neg.f64 z)
(*.f64 x (cos.f64 y))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
(-.f64 x (*.f64 z y))
(*.f64 z y)
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
(cos.f64 y)
#s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))
(*.f64 y (*.f64 y y))
Outputs
(+.f64 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 (sin.f64 y) z)))
(+.f64 (neg.f64 (*.f64 (sin.f64 y) z)) (*.f64 x (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) #s(literal -1 binary64)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))))
(-.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) (/.f64 (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))
(-.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(-.f64 (fma.f64 x (cos.f64 y) #s(literal 0 binary64)) (*.f64 (sin.f64 y) z))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) (/.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))) (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 (sin.f64 y) z))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 (sin.f64 y) z))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (neg.f64 (*.f64 (cos.f64 y) (*.f64 x (*.f64 (sin.f64 y) z))))))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (neg.f64 (*.f64 (cos.f64 y) (*.f64 x (*.f64 (sin.f64 y) z))))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z (neg.f64 z))) (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (/.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z (neg.f64 z))) (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(-.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (-.f64 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 (sin.f64 y) z)))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (-.f64 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 (sin.f64 y) z)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z (neg.f64 z))) (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))) (-.f64 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 (sin.f64 y) z)))) (/.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z (neg.f64 z))) (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))) (-.f64 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 (sin.f64 y) z)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64)) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z (neg.f64 z))) (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))))) (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z (neg.f64 z))) (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))))))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (neg.f64 (*.f64 (sin.f64 y) z)))
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 (sin.f64 y) z)))
(fma.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64) (*.f64 x (cos.f64 y)))
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 x (cos.f64 y)))
(fma.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) z (*.f64 x (cos.f64 y)))
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(/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) (neg.f64 y))) z) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) (neg.f64 y)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)))))) (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z)))))) (neg.f64 (fma.f64 (*.f64 z (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)))) (*.f64 z (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)))) (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 (*.f64 z (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)))) (*.f64 y z))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 z (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)))) (*.f64 z (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 z (*.f64 y z))))) (neg.f64 (-.f64 (*.f64 z (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)))) (*.f64 y z))))
(/.f64 (neg.f64 (*.f64 z (fma.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)))) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y))))))))
(/.f64 (neg.f64 (*.f64 z (*.f64 (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) (neg.f64 y))))) (neg.f64 (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y y))) z)) (neg.f64 (fma.f64 y (-.f64 y (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)))) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y))))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) (neg.f64 y))) z)) (neg.f64 (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) (neg.f64 y))))
(/.f64 (fma.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)))))) (*.f64 z (*.f64 z z)))) (fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 (*.f64 z (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)))) (*.f64 z (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y z) (*.f64 z (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y))))))))
(*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))
(*.f64 (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) z)
(exp.f64 (*.f64 (log.f64 y) #s(literal 3 binary64)))
(pow.f64 y #s(literal 3 binary64))
(pow.f64 (*.f64 y y) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 3 binary64))
(*.f64 y (*.f64 y y))
(*.f64 (*.f64 y y) y)
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))

eval163.0ms (1.5%)

Memory
35.4MiB live, 362.6MiB allocated
Compiler

Compiled 42 612 to 1 988 computations (95.3% saved)

prune227.0ms (2.1%)

Memory
-14.5MiB live, 475.9MiB allocated
Pruning

43 alts after pruning (40 fresh and 3 done)

PrunedKeptTotal
New1 125361 161
Fresh10414
Picked325
Done011
Total1 138431 181
Accuracy
100.0%
Counts
1 181 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.9%
(fma.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
69.0%
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
42.8%
(fma.f64 #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (neg.f64 z) (*.f64 x (cos.f64 y)))
45.8%
(fma.f64 #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) (neg.f64 z) (*.f64 x (cos.f64 y)))
50.2%
(/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
48.1%
(/.f64 (fma.f64 (/.f64 (*.f64 z (neg.f64 z)) (+.f64 (cos.f64 (+.f64 y y)) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
50.0%
(/.f64 (fma.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 z)) z (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
99.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))
99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
42.8%
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
58.6%
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y)))
39.7%
(-.f64 (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
39.8%
(-.f64 (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
39.9%
(-.f64 #s(approx (* x (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))) (*.f64 x #s(literal -1/2 binary64))) x)) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
39.8%
(-.f64 #s(approx (* x (cos y)) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal 1/24 binary64))) x)) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
48.2%
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
98.9%
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 z (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))))
40.3%
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x))
61.7%
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (-.f64 (/.f64 (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y)))))
65.8%
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
28.8%
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (/.f64 z (sin.f64 y)))))
91.3%
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 (neg.f64 x) (fma.f64 z (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (cos.f64 y)))))
52.2%
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 z (-.f64 (*.f64 (*.f64 x (cos.f64 y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)))))
42.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
12.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) x)))))
16.9%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (*.f64 y (*.f64 z (*.f64 y z))))) (*.f64 (fma.f64 y z x) (fma.f64 y z x))))
18.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
16.9%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (fma.f64 x x (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 y (neg.f64 z)))))))
25.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
18.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))))))
25.6%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
23.6%
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x))))
25.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
84.6%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))))
92.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))))
66.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
35.6%
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
9.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))))
9.5%
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))) z)))))
9.8%
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
35.6%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (-.f64 (/.f64 x z) y))))
31.5%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (-.f64 (/.f64 x y) z))))
9.5%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (neg (* z (sin y))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
Compiler

Compiled 2 113 to 1 097 computations (48.1% saved)

simplify180.0ms (1.6%)

Memory
11.0MiB live, 295.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
cost-diff0
(fma.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 z)) z (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
cost-diff0
(/.f64 (fma.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 z)) z (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
cost-diff128
(*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 z))
cost-diff0
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) x))))
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) x)))))
cost-diff320
(fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) x)))
cost-diff576
(-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) x))
cost-diff0
(fma.f64 y z x)
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
cost-diff1088
(/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))
cost-diff0
(*.f64 y z)
cost-diff0
#s(approx (* z (sin y)) (*.f64 y z))
cost-diff0
(neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
cost-diff0
(*.f64 x (cos.f64 y))
cost-diff0
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))
Rules
7 042×lower-fma.f32
7 028×lower-fma.f64
3 810×lower-*.f32
3 776×lower-*.f64
1 468×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055481
0101455
1196409
2418400
31257400
43862400
08475394
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(*.f64 (sin.f64 y) z)
(sin.f64 y)
z
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
(neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))
#s(approx (* z (sin y)) (*.f64 y z))
(*.f64 y z)
y
z
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))
#s(literal 1 binary64)
(/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))
(fma.f64 y z x)
y
z
x
(*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))
(-.f64 x (*.f64 y z))
(*.f64 y z)
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) x)))))
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) x))))
(fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x)))
(*.f64 y (*.f64 y y))
y
(*.f64 y y)
(neg.f64 (*.f64 z (*.f64 z z)))
(*.f64 z (*.f64 z z))
z
(*.f64 z z)
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
(fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) x)))
(*.f64 z (*.f64 y z))
(*.f64 y z)
(-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) x))
(*.f64 (*.f64 y (neg.f64 z)) x)
(*.f64 y (neg.f64 z))
(neg.f64 z)
(/.f64 (fma.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 z)) z (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 z)) z (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 z))
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(cos.f64 (+.f64 y y))
(+.f64 y y)
y
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
(neg.f64 z)
z
(*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
x
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(cos.f64 y)
(*.f64 z (sin.f64 y))
(sin.f64 y)
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(*.f64 (sin.f64 y) z)
(sin.f64 y)
z
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
(neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))
#s(approx (* z (sin y)) (*.f64 y z))
(*.f64 y z)
y
z
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 y z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))
(-.f64 x (*.f64 y z))
#s(literal 1 binary64)
(/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))
(/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))
(fma.f64 y z x)
y
z
x
(*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))
(-.f64 x (*.f64 y z))
(*.f64 y z)
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y (*.f64 y (*.f64 z (*.f64 z z)))))) (fma.f64 z (*.f64 y (fma.f64 y z x)) (*.f64 x x))))
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) x))))
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y (*.f64 y (*.f64 z (*.f64 z z)))))) (fma.f64 z (*.f64 y (fma.f64 y z x)) (*.f64 x x)))
(fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x)))
(-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y (*.f64 y (*.f64 z (*.f64 z z))))))
(*.f64 y (*.f64 y y))
y
(*.f64 y y)
(neg.f64 (*.f64 z (*.f64 z z)))
(*.f64 z (*.f64 z z))
z
(*.f64 z z)
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
(fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) x)))
(fma.f64 z (*.f64 y (fma.f64 y z x)) (*.f64 x x))
(*.f64 z (*.f64 y z))
(*.f64 y (*.f64 z z))
(*.f64 y z)
(-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) x))
(*.f64 x (fma.f64 y z x))
(*.f64 (*.f64 y (neg.f64 z)) x)
(*.f64 y (*.f64 x (neg.f64 z)))
(*.f64 y (neg.f64 z))
(neg.f64 (*.f64 y z))
(neg.f64 z)
(/.f64 (fma.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 z)) z (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 (fma.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)))
(fma.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 z)) z (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(fma.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 z))
(*.f64 z (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(cos.f64 (+.f64 y y))
(+.f64 y y)
y
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
(neg.f64 z)
z
(*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
x
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
(*.f64 x (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))
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))
(cos.f64 y)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(sin.f64 y)

localize283.0ms (2.6%)

Memory
3.0MiB live, 403.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy1.2743553604582705
(fma.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 z)) z (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
accuracy2.504902614744523
(*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 z))
accuracy10.93447204763716
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
accuracy28.65852769141842
(/.f64 (fma.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 z)) z (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
accuracy6.439022537953502
(*.f64 (*.f64 y (neg.f64 z)) x)
accuracy17.71050639180091
(fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x)))
accuracy36.96441231445891
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) x)))))
accuracy41.448934910732476
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) x))))
accuracy0.08431625976844202
(*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))
accuracy0.20703125
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))
accuracy34.7383880855624
(/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))
accuracy36.96441231445891
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
accuracy0
(*.f64 y z)
accuracy0
(neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))
accuracy38.05264134145382
#s(approx (* z (sin y)) (*.f64 y z))
accuracy41.145942432120115
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
accuracy0.11328125
(*.f64 x (cos.f64 y))
accuracy0.13671875
(*.f64 (sin.f64 y) z)
accuracy0.19921875
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))
accuracy0.26171875
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))
Samples
72.0ms160×0valid
48.0ms58×1valid
39.0ms38×2valid
Compiler

Compiled 434 to 54 computations (87.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 123.0ms
ival-mult: 41.0ms (33.5% of total)
ival-cos: 30.0ms (24.5% of total)
ival-add: 13.0ms (10.6% of total)
ival-div: 12.0ms (9.8% of total)
adjust: 11.0ms (9% of total)
ival-sub: 6.0ms (4.9% of total)
ival-sin: 6.0ms (4.9% of total)
ival-neg: 3.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series109.0ms (1%)

Memory
3.8MiB live, 112.8MiB allocated
Counts
24 → 768
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())
#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())
#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) #<representation binary64>) () ())
#s(alt (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))) (patch (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))) #<representation binary64>) () ())
#s(alt #s(approx (* z (sin y)) (*.f64 y z)) (patch #s(approx (* z (sin y)) (*.f64 y z)) #<representation binary64>) () ())
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))) (patch (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))) #<representation binary64>) () ())
#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))) #<representation binary64>) () ())
#s(alt (fma.f64 y z x) (patch (fma.f64 y z x) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) x)) (patch (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) x)) #<representation binary64>) () ())
#s(alt (fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) x))) (patch (fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) x))) #<representation binary64>) () ())
#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) x))))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) x))))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) x)))) (patch (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) x)))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 z)) (patch (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 z)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 z)) z (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (patch (/.f64 (fma.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 z)) z (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 z)) z (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (patch (fma.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 z)) z (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) #<representation binary64>) () ())
#s(alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (sin.f64 y) z) (patch (*.f64 (sin.f64 y) z) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (patch (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (patch (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y (neg.f64 z)) x) (patch (*.f64 (*.f64 y (neg.f64 z)) x) #<representation binary64>) () ())
Outputs
#s(alt (* -1 (* z (sin y))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y z))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* -1/2 (* x y)) z))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ (* x (cos y)) z) (sin y))) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ (* x (cos y)) z) (sin y))) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ (* x (cos y)) z) (sin y))) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* z (sin y))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (* y z))) (taylor inf y) (#s(alt (*.f64 (*.f64 y (neg.f64 z)) x) (patch (*.f64 (*.f64 y (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor inf y) (#s(alt (*.f64 (*.f64 y (neg.f64 z)) x) (patch (*.f64 (*.f64 y (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor inf y) (#s(alt (*.f64 (*.f64 y (neg.f64 z)) x) (patch (*.f64 (*.f64 y (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor -inf y) (#s(alt (*.f64 (*.f64 y (neg.f64 z)) x) (patch (*.f64 (*.f64 y (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor -inf y) (#s(alt (*.f64 (*.f64 y (neg.f64 z)) x) (patch (*.f64 (*.f64 y (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor -inf y) (#s(alt (*.f64 (*.f64 y (neg.f64 z)) x) (patch (*.f64 (*.f64 y (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor -inf y) (#s(alt (*.f64 (*.f64 y (neg.f64 z)) x) (patch (*.f64 (*.f64 y (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor 0 z) (#s(alt (*.f64 (*.f64 y (neg.f64 z)) x) (patch (*.f64 (*.f64 y (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor 0 z) (#s(alt (*.f64 (*.f64 y (neg.f64 z)) x) (patch (*.f64 (*.f64 y (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor 0 z) (#s(alt (*.f64 (*.f64 y (neg.f64 z)) x) (patch (*.f64 (*.f64 y (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor 0 z) (#s(alt (*.f64 (*.f64 y (neg.f64 z)) x) (patch (*.f64 (*.f64 y (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor inf z) (#s(alt (*.f64 (*.f64 y (neg.f64 z)) x) (patch (*.f64 (*.f64 y (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor inf z) (#s(alt (*.f64 (*.f64 y (neg.f64 z)) x) (patch (*.f64 (*.f64 y (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor inf z) (#s(alt (*.f64 (*.f64 y (neg.f64 z)) x) (patch (*.f64 (*.f64 y (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor inf z) (#s(alt (*.f64 (*.f64 y (neg.f64 z)) x) (patch (*.f64 (*.f64 y (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor -inf z) (#s(alt (*.f64 (*.f64 y (neg.f64 z)) x) (patch (*.f64 (*.f64 y (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor -inf z) (#s(alt (*.f64 (*.f64 y (neg.f64 z)) x) (patch (*.f64 (*.f64 y (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor -inf z) (#s(alt (*.f64 (*.f64 y (neg.f64 z)) x) (patch (*.f64 (*.f64 y (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor -inf z) (#s(alt (*.f64 (*.f64 y (neg.f64 z)) x) (patch (*.f64 (*.f64 y (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor 0 x) (#s(alt (*.f64 (*.f64 y (neg.f64 z)) x) (patch (*.f64 (*.f64 y (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor 0 x) (#s(alt (*.f64 (*.f64 y (neg.f64 z)) x) (patch (*.f64 (*.f64 y (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor 0 x) (#s(alt (*.f64 (*.f64 y (neg.f64 z)) x) (patch (*.f64 (*.f64 y (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor 0 x) (#s(alt (*.f64 (*.f64 y (neg.f64 z)) x) (patch (*.f64 (*.f64 y (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor inf x) (#s(alt (*.f64 (*.f64 y (neg.f64 z)) x) (patch (*.f64 (*.f64 y (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor inf x) (#s(alt (*.f64 (*.f64 y (neg.f64 z)) x) (patch (*.f64 (*.f64 y (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor inf x) (#s(alt (*.f64 (*.f64 y (neg.f64 z)) x) (patch (*.f64 (*.f64 y (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor inf x) (#s(alt (*.f64 (*.f64 y (neg.f64 z)) x) (patch (*.f64 (*.f64 y (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor -inf x) (#s(alt (*.f64 (*.f64 y (neg.f64 z)) x) (patch (*.f64 (*.f64 y (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor -inf x) (#s(alt (*.f64 (*.f64 y (neg.f64 z)) x) (patch (*.f64 (*.f64 y (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor -inf x) (#s(alt (*.f64 (*.f64 y (neg.f64 z)) x) (patch (*.f64 (*.f64 y (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor -inf x) (#s(alt (*.f64 (*.f64 y (neg.f64 z)) x) (patch (*.f64 (*.f64 y (neg.f64 z)) x) #<representation binary64>) () ())) ())
Calls

192 calls:

TimeVariablePointExpression
14.0ms
x
@inf
(- (* x x) (* (* y (neg z)) x))
8.0ms
y
@0
(+ (* (* y (* y y)) (neg (* z (* z z)))) (* x (* x x)))
2.0ms
x
@inf
(/ (+ (* (* y (* y y)) (neg (* z (* z z)))) (* x (* x x))) (+ (* y (* z (* y z))) (- (* x x) (* (* y (neg z)) x))))
1.0ms
y
@-inf
(/ (+ (* (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg z)) z) (* x (* x (+ (* 1/2 (cos (+ y y))) 1/2)))) (+ (* x (cos y)) (* z (sin y))))
1.0ms
y
@inf
(/ (+ (* (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg z)) z) (* x (* x (+ (* 1/2 (cos (+ y y))) 1/2)))) (+ (* x (cos y)) (* z (sin y))))

simplify601.0ms (5.5%)

Memory
-6.7MiB live, 322.1MiB allocated
Algorithm
egg-herbie
Rules
7 960×lower-fma.f64
7 960×lower-fma.f32
6 494×lower-*.f64
6 494×lower-*.f32
3 950×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0106710231
137429742
087769320
Stop Event
iter limit
node limit
Counts
768 → 749
Calls
Call 1
Inputs
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(/ -1 (* z (sin y)))
(- (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y))))
(- (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(- (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(/ 1 (* x (cos y)))
(/ (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x)
(/ 1 (* x (cos y)))
(* -1 (/ (- (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(/ 1 x)
(+ (/ 1 x) (/ (* y z) (pow x 2)))
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x)) (+ (* -1/2 (/ z (pow x 2))) (* 1/6 (/ z (pow x 2))))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (* x (cos y)))
(+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2))))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(/ -1 (* z (sin y)))
(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
(/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (+ (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z)
(/ -1 (* z (sin y)))
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* y z))
(* y (- (* 1/6 (* (pow y 2) z)) z))
(* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z))
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (* (pow y 2) z)) (* 1/120 z))) (* -1/6 z))) z))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* -1 (* y z))
(* y (- (/ x y) z))
(* y (- (/ x y) z))
(* y (- (/ x y) z))
(* -1 (* y z))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* -1 (* y z))
(* z (- (/ x z) y))
(* z (- (/ x z) y))
(* z (- (/ x z) y))
(* -1 (* y z))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* -1 (* y z))
(- x (* y z))
(- x (* y z))
(- x (* y z))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (+ 1 (* -1 (/ (* y z) x))))
x
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (/ (* y z) x) 1)))
(/ 1 x)
(+ (/ 1 x) (/ (* y z) (pow x 2)))
(+ (* y (- (/ (* y (pow z 2)) (pow x 3)) (* -1 (/ z (pow x 2))))) (/ 1 x))
(+ (* y (- (* y (- (/ (* y (pow z 3)) (pow x 4)) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(/ -1 (* y z))
(/ (- (* -1 (/ x (* y (pow z 2)))) (/ 1 z)) y)
(/ (- (* -1 (/ (pow x 2) (* (pow y 2) (pow z 3)))) (+ (/ 1 z) (/ x (* y (pow z 2))))) y)
(/ (- (* -1 (/ (pow x 3) (* (pow y 3) (pow z 4)))) (+ (/ 1 z) (+ (/ x (* y (pow z 2))) (/ (pow x 2) (* (pow y 2) (pow z 3)))))) y)
(/ -1 (* y z))
(* -1 (/ (+ (/ 1 z) (/ x (* y (pow z 2)))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 2) (* y (pow z 3)))) (/ x (pow z 2))) y)) (/ 1 z)) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* y (pow z 4))) (* -1 (/ (pow x 2) (pow z 3)))) y)) (/ x (pow z 2))) y)) (/ 1 z)) y))
(/ 1 x)
(+ (/ 1 x) (/ (* y z) (pow x 2)))
(+ (* z (- (/ (* (pow y 2) z) (pow x 3)) (* -1 (/ y (pow x 2))))) (/ 1 x))
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(* x (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (+ (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))
(* x (- (+ (* -1 (/ (* z (* (sin y) (- (* -1 (/ (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3)))))) (* (pow x 3) (cos y)))) (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))) (+ (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x)))))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* z (* (sin y) (- (/ (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* x (cos y)))) (/ (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x)))))
(pow x 2)
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (* -1 (pow z 2)))) (pow x 2))
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* 1/3 (pow x 2)) (* 1/3 (pow z 2))))))) (pow x 2))
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* 1/3 (pow x 2)) (+ (* 1/3 (pow z 2)) (* (pow y 2) (+ (* -2/45 (pow x 2)) (* -2/45 (pow z 2)))))))))) (pow x 2))
(+ (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(+ (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(+ (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(+ (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(+ (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))
(* (pow z 2) (+ (* -1 (+ 1/2 (* -1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))))
(* (pow z 2) (+ (* -1 (+ 1/2 (* -1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))))
(* (pow z 2) (+ (* -1 (+ 1/2 (* -1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))))
(* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))
(* (pow z 2) (+ (* -1 (+ 1/2 (* -1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))))
(* (pow z 2) (+ (* -1 (+ 1/2 (* -1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))))
(* (pow z 2) (+ (* -1 (+ 1/2 (* -1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))))
(* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y))))))
(pow y 2)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(+ 1/2 (* -1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 y)))))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(pow x 2)
(+ (* y (+ (* -1 (* x z)) (* x z))) (pow x 2))
(+ (* y (+ (* -1 (* x z)) (+ (* -1 (* y (pow z 2))) (* x z)))) (pow x 2))
(+ (* y (+ (* -1 (* x z)) (+ (* -1 (* y (pow z 2))) (* x z)))) (pow x 2))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (* -1 (pow z 2)) (/ (* x z) y))))
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (* -1 (pow z 2)) (+ (/ (* x z) y) (/ (pow x 2) (pow y 2))))))
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (* -1 (pow z 2)) (+ (/ (* x z) y) (/ (pow x 2) (pow y 2))))))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (* x z)) y)) (* -1 (pow z 2))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (+ (* -1 (/ (pow x 2) y)) (* x z))) y)) (* -1 (pow z 2))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (+ (* -1 (/ (pow x 2) y)) (* x z))) y)) (* -1 (pow z 2))))
(pow x 2)
(+ (* z (+ (* -1 (* x y)) (* x y))) (pow x 2))
(+ (* z (+ (* -1 (* x y)) (+ (* -1 (* (pow y 2) z)) (* x y)))) (pow x 2))
(+ (* z (+ (* -1 (* x y)) (+ (* -1 (* (pow y 2) z)) (* x y)))) (pow x 2))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow z 2) (+ (* -1 (/ (* x y) z)) (+ (* -1 (pow y 2)) (/ (* x y) z))))
(* (pow z 2) (+ (* -1 (/ (* x y) z)) (+ (* -1 (pow y 2)) (+ (/ (* x y) z) (/ (pow x 2) (pow z 2))))))
(* (pow z 2) (+ (* -1 (/ (* x y) z)) (+ (* -1 (pow y 2)) (+ (/ (* x y) z) (/ (pow x 2) (pow z 2))))))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (* x y)) (* x y)) z)) (* -1 (pow y 2))))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (* x y)) (+ (* -1 (/ (pow x 2) z)) (* x y))) z)) (* -1 (pow y 2))))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (* x y)) (+ (* -1 (/ (pow x 2) z)) (* x y))) z)) (* -1 (pow y 2))))
(* -1 (* (pow y 2) (pow z 2)))
(+ (* -1 (* (pow y 2) (pow z 2))) (* x (+ (* -1 (* y z)) (* y z))))
(+ (* -1 (* (pow y 2) (pow z 2))) (* x (+ x (+ (* -1 (* y z)) (* y z)))))
(+ (* -1 (* (pow y 2) (pow z 2))) (* x (+ x (+ (* -1 (* y z)) (* y z)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* -1 (/ (* y z) x)) (/ (* y z) x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (/ (* y z) x)))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (/ (* y z) x)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* -1 (/ (* y z) x)) (/ (* y z) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ (* -1 (* y z)) (* y z))) (/ (* (pow y 2) (pow z 2)) x)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ (* -1 (* y z)) (* y z))) (/ (* (pow y 2) (pow z 2)) x)) x))))
(pow x 3)
(+ (* -1 (* (pow y 3) (pow z 3))) (pow x 3))
(+ (* -1 (* (pow y 3) (pow z 3))) (pow x 3))
(+ (* -1 (* (pow y 3) (pow z 3))) (pow x 3))
(* -1 (* (pow y 3) (pow z 3)))
(* (pow y 3) (+ (* -1 (pow z 3)) (/ (pow x 3) (pow y 3))))
(* (pow y 3) (+ (* -1 (pow z 3)) (/ (pow x 3) (pow y 3))))
(* (pow y 3) (+ (* -1 (pow z 3)) (/ (pow x 3) (pow y 3))))
(* -1 (* (pow y 3) (pow z 3)))
(* -1 (* (pow y 3) (+ (* -1 (/ (pow x 3) (pow y 3))) (pow z 3))))
(* -1 (* (pow y 3) (+ (* -1 (/ (pow x 3) (pow y 3))) (pow z 3))))
(* -1 (* (pow y 3) (+ (* -1 (/ (pow x 3) (pow y 3))) (pow z 3))))
(pow x 3)
(+ (* -1 (* (pow y 3) (pow z 3))) (pow x 3))
(+ (* -1 (* (pow y 3) (pow z 3))) (pow x 3))
(+ (* -1 (* (pow y 3) (pow z 3))) (pow x 3))
(* -1 (* (pow y 3) (pow z 3)))
(* (pow z 3) (+ (* -1 (pow y 3)) (/ (pow x 3) (pow z 3))))
(* (pow z 3) (+ (* -1 (pow y 3)) (/ (pow x 3) (pow z 3))))
(* (pow z 3) (+ (* -1 (pow y 3)) (/ (pow x 3) (pow z 3))))
(* -1 (* (pow y 3) (pow z 3)))
(* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (pow y 3))))
(* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (pow y 3))))
(* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (pow y 3))))
(* -1 (* (pow y 3) (pow z 3)))
(+ (* -1 (* (pow y 3) (pow z 3))) (pow x 3))
(+ (* -1 (* (pow y 3) (pow z 3))) (pow x 3))
(+ (* -1 (* (pow y 3) (pow z 3))) (pow x 3))
(pow x 3)
(* (pow x 3) (+ 1 (* -1 (/ (* (pow y 3) (pow z 3)) (pow x 3)))))
(* (pow x 3) (+ 1 (* -1 (/ (* (pow y 3) (pow z 3)) (pow x 3)))))
(* (pow x 3) (+ 1 (* -1 (/ (* (pow y 3) (pow z 3)) (pow x 3)))))
(pow x 3)
(* -1 (* (pow x 3) (- (/ (* (pow y 3) (pow z 3)) (pow x 3)) 1)))
(* -1 (* (pow x 3) (- (/ (* (pow y 3) (pow z 3)) (pow x 3)) 1)))
(* -1 (* (pow x 3) (- (/ (* (pow y 3) (pow z 3)) (pow x 3)) 1)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
Outputs
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (-.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y)) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (-.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y)) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (-.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y)) (neg.f64 x))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ x (* y (- (* -1/2 (* x y)) z)))
(fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x)
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal 1/6 binary64))) (neg.f64 z)) x)
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(*.f64 (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) z) (sin.f64 y)) (neg.f64 z))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(*.f64 (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) z) (sin.f64 y)) (neg.f64 z))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(*.f64 (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) z) (sin.f64 y)) (neg.f64 z))
(/ -1 (* z (sin y)))
(/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(- (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y))))
(fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
(- (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(fma.f64 x (neg.f64 (fma.f64 x (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 z (*.f64 z z)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (cos.f64 y) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
(- (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(fma.f64 x (fma.f64 x (neg.f64 (fma.f64 x (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 z (*.f64 z z)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (cos.f64 y) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(/ (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x)
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(pow x 2)
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(+ (* z (+ (* -1 (* x y)) (+ (* -1 (* (pow y 2) z)) (* x y)))) (pow x 2))
(fma.f64 z (+.f64 (neg.f64 (fma.f64 y x (*.f64 z (*.f64 y y)))) (*.f64 y x)) (*.f64 x x))
(* -1 (* (pow y 2) (pow z 2)))
(*.f64 (*.f64 z z) (*.f64 y (neg.f64 y)))
(* (pow z 2) (+ (* -1 (/ (* x y) z)) (+ (* -1 (pow y 2)) (/ (* x y) z))))
(*.f64 (*.f64 z z) (+.f64 (neg.f64 (fma.f64 x (/.f64 y z) (*.f64 y y))) (/.f64 (*.f64 y x) z)))
(* (pow z 2) (+ (* -1 (/ (* x y) z)) (+ (* -1 (pow y 2)) (+ (/ (* x y) z) (/ (pow x 2) (pow z 2))))))
(*.f64 (*.f64 z z) (+.f64 (neg.f64 (fma.f64 x (/.f64 y z) (*.f64 y y))) (fma.f64 x (/.f64 y z) (/.f64 (*.f64 x x) (*.f64 z z)))))
(* (pow z 2) (+ (* -1 (/ (* x y) z)) (+ (* -1 (pow y 2)) (+ (/ (* x y) z) (/ (pow x 2) (pow z 2))))))
(*.f64 (*.f64 z z) (+.f64 (neg.f64 (fma.f64 x (/.f64 y z) (*.f64 y y))) (fma.f64 x (/.f64 y z) (/.f64 (*.f64 x x) (*.f64 z z)))))
(* -1 (* (pow y 2) (pow z 2)))
(*.f64 (*.f64 z z) (*.f64 y (neg.f64 y)))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (* x y)) (* x y)) z)) (* -1 (pow y 2))))
(*.f64 (*.f64 z z) (fma.f64 y (neg.f64 y) (/.f64 #s(literal 0 binary64) z)))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (* x y)) (+ (* -1 (/ (pow x 2) z)) (* x y))) z)) (* -1 (pow y 2))))
(*.f64 (*.f64 z z) (neg.f64 (fma.f64 y y (/.f64 (+.f64 (neg.f64 (fma.f64 y x (/.f64 (*.f64 x x) z))) (*.f64 y x)) z))))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (* x y)) (+ (* -1 (/ (pow x 2) z)) (* x y))) z)) (* -1 (pow y 2))))
(*.f64 (*.f64 z z) (neg.f64 (fma.f64 y y (/.f64 (+.f64 (neg.f64 (fma.f64 y x (/.f64 (*.f64 x x) z))) (*.f64 y x)) z))))
(* -1 (* (pow y 2) (pow z 2)))
(*.f64 (*.f64 z z) (*.f64 y (neg.f64 y)))
(+ (* -1 (* (pow y 2) (pow z 2))) (* x (+ (* -1 (* y z)) (* y z))))
(-.f64 (*.f64 z #s(literal 0 binary64)) (*.f64 (*.f64 z y) (*.f64 z y)))
(+ (* -1 (* (pow y 2) (pow z 2))) (* x (+ x (+ (* -1 (* y z)) (* y z)))))
(-.f64 (*.f64 x x) (*.f64 (*.f64 z y) (*.f64 z y)))
(+ (* -1 (* (pow y 2) (pow z 2))) (* x (+ x (+ (* -1 (* y z)) (* y z)))))
(-.f64 (*.f64 x x) (*.f64 (*.f64 z y) (*.f64 z y)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* -1 (/ (* y z) x)) (/ (* y z) x))))
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (/ (* y z) x)))))
(*.f64 (*.f64 x x) (+.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) (fma.f64 y (/.f64 z x) (*.f64 (*.f64 y (neg.f64 y)) (/.f64 (*.f64 z z) (*.f64 x x))))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (/ (* y z) x)))))
(*.f64 (*.f64 x x) (+.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) (fma.f64 y (/.f64 z x) (*.f64 (*.f64 y (neg.f64 y)) (/.f64 (*.f64 z z) (*.f64 x x))))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* -1 (/ (* y z) x)) (/ (* y z) x))))
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ (* -1 (* y z)) (* y z))) (/ (* (pow y 2) (pow z 2)) x)) x))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) (/.f64 (*.f64 z z) x) #s(literal 0 binary64)) x)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ (* -1 (* y z)) (* y z))) (/ (* (pow y 2) (pow z 2)) x)) x))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) (/.f64 (*.f64 z z) x) #s(literal 0 binary64)) x)))
(pow x 3)
(*.f64 x (*.f64 x x))
(+ (* -1 (* (pow y 3) (pow z 3))) (pow x 3))
(-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))))
(+ (* -1 (* (pow y 3) (pow z 3))) (pow x 3))
(-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))))
(+ (* -1 (* (pow y 3) (pow z 3))) (pow x 3))
(-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))))
(* -1 (* (pow y 3) (pow z 3)))
(*.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y (neg.f64 y))))
(* (pow y 3) (+ (* -1 (pow z 3)) (/ (pow x 3) (pow y 3))))
(*.f64 (*.f64 y (*.f64 y y)) (-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 z (*.f64 z z))))
(* (pow y 3) (+ (* -1 (pow z 3)) (/ (pow x 3) (pow y 3))))
(*.f64 (*.f64 y (*.f64 y y)) (-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 z (*.f64 z z))))
(* (pow y 3) (+ (* -1 (pow z 3)) (/ (pow x 3) (pow y 3))))
(*.f64 (*.f64 y (*.f64 y y)) (-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 z (*.f64 z z))))
(* -1 (* (pow y 3) (pow z 3)))
(*.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y (neg.f64 y))))
(* -1 (* (pow y 3) (+ (* -1 (/ (pow x 3) (pow y 3))) (pow z 3))))
(*.f64 (-.f64 (*.f64 z (*.f64 z z)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (neg.f64 y))))
(* -1 (* (pow y 3) (+ (* -1 (/ (pow x 3) (pow y 3))) (pow z 3))))
(*.f64 (-.f64 (*.f64 z (*.f64 z z)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (neg.f64 y))))
(* -1 (* (pow y 3) (+ (* -1 (/ (pow x 3) (pow y 3))) (pow z 3))))
(*.f64 (-.f64 (*.f64 z (*.f64 z z)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (neg.f64 y))))
(pow x 3)
(*.f64 x (*.f64 x x))
(+ (* -1 (* (pow y 3) (pow z 3))) (pow x 3))
(-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))))
(+ (* -1 (* (pow y 3) (pow z 3))) (pow x 3))
(-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))))
(+ (* -1 (* (pow y 3) (pow z 3))) (pow x 3))
(-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))))
(* -1 (* (pow y 3) (pow z 3)))
(*.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y (neg.f64 y))))
(* (pow z 3) (+ (* -1 (pow y 3)) (/ (pow x 3) (pow z 3))))
(*.f64 (*.f64 z (*.f64 z z)) (-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (*.f64 y (*.f64 y y))))
(* (pow z 3) (+ (* -1 (pow y 3)) (/ (pow x 3) (pow z 3))))
(*.f64 (*.f64 z (*.f64 z z)) (-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (*.f64 y (*.f64 y y))))
(* (pow z 3) (+ (* -1 (pow y 3)) (/ (pow x 3) (pow z 3))))
(*.f64 (*.f64 z (*.f64 z z)) (-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (*.f64 y (*.f64 y y))))
(* -1 (* (pow y 3) (pow z 3)))
(*.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y (neg.f64 y))))
(* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (pow y 3))))
(*.f64 (*.f64 z (*.f64 z (neg.f64 z))) (-.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z)))))
(* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (pow y 3))))
(*.f64 (*.f64 z (*.f64 z (neg.f64 z))) (-.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z)))))
(* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (pow y 3))))
(*.f64 (*.f64 z (*.f64 z (neg.f64 z))) (-.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z)))))
(* -1 (* (pow y 3) (pow z 3)))
(*.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y (neg.f64 y))))
(+ (* -1 (* (pow y 3) (pow z 3))) (pow x 3))
(-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))))
(+ (* -1 (* (pow y 3) (pow z 3))) (pow x 3))
(-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))))
(+ (* -1 (* (pow y 3) (pow z 3))) (pow x 3))
(-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))))
(pow x 3)
(*.f64 x (*.f64 x x))
(* (pow x 3) (+ 1 (* -1 (/ (* (pow y 3) (pow z 3)) (pow x 3)))))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 y (*.f64 y (neg.f64 y))) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)))
(* (pow x 3) (+ 1 (* -1 (/ (* (pow y 3) (pow z 3)) (pow x 3)))))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 y (*.f64 y (neg.f64 y))) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)))
(* (pow x 3) (+ 1 (* -1 (/ (* (pow y 3) (pow z 3)) (pow x 3)))))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 y (*.f64 y (neg.f64 y))) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)))
(pow x 3)
(*.f64 x (*.f64 x x))
(* -1 (* (pow x 3) (- (/ (* (pow y 3) (pow z 3)) (pow x 3)) 1)))
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (neg.f64 (*.f64 x (*.f64 x x))))
(* -1 (* (pow x 3) (- (/ (* (pow y 3) (pow z 3)) (pow x 3)) 1)))
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (neg.f64 (*.f64 x (*.f64 x x))))
(* -1 (* (pow x 3) (- (/ (* (pow y 3) (pow z 3)) (pow x 3)) 1)))
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (neg.f64 (*.f64 x (*.f64 x x))))
(* -1 (* x (* y z)))
(*.f64 (*.f64 y (neg.f64 x)) z)
(* -1 (* x (* y z)))
(*.f64 (*.f64 y (neg.f64 x)) z)
(* -1 (* x (* y z)))
(*.f64 (*.f64 y (neg.f64 x)) z)
(* -1 (* x (* y z)))
(*.f64 (*.f64 y (neg.f64 x)) z)
(* -1 (* x (* y z)))
(*.f64 (*.f64 y (neg.f64 x)) z)
(* -1 (* x (* y z)))
(*.f64 (*.f64 y (neg.f64 x)) z)
(* -1 (* x (* y z)))
(*.f64 (*.f64 y (neg.f64 x)) z)
(* -1 (* x (* y z)))
(*.f64 (*.f64 y (neg.f64 x)) z)
(* -1 (* x (* y z)))
(*.f64 (*.f64 y (neg.f64 x)) z)
(* -1 (* x (* y z)))
(*.f64 (*.f64 y (neg.f64 x)) z)
(* -1 (* x (* y z)))
(*.f64 (*.f64 y (neg.f64 x)) z)
(* -1 (* x (* y z)))
(*.f64 (*.f64 y (neg.f64 x)) z)
(* -1 (* x (* y z)))
(*.f64 (*.f64 y (neg.f64 x)) z)
(* -1 (* x (* y z)))
(*.f64 (*.f64 y (neg.f64 x)) z)
(* -1 (* x (* y z)))
(*.f64 (*.f64 y (neg.f64 x)) z)
(* -1 (* x (* y z)))
(*.f64 (*.f64 y (neg.f64 x)) z)
(* -1 (* x (* y z)))
(*.f64 (*.f64 y (neg.f64 x)) z)
(* -1 (* x (* y z)))
(*.f64 (*.f64 y (neg.f64 x)) z)
(* -1 (* x (* y z)))
(*.f64 (*.f64 y (neg.f64 x)) z)
(* -1 (* x (* y z)))
(*.f64 (*.f64 y (neg.f64 x)) z)
(* -1 (* x (* y z)))
(*.f64 (*.f64 y (neg.f64 x)) z)
(* -1 (* x (* y z)))
(*.f64 (*.f64 y (neg.f64 x)) z)
(* -1 (* x (* y z)))
(*.f64 (*.f64 y (neg.f64 x)) z)
(* -1 (* x (* y z)))
(*.f64 (*.f64 y (neg.f64 x)) z)
(* -1 (* x (* y z)))
(*.f64 (*.f64 y (neg.f64 x)) z)
(* -1 (* x (* y z)))
(*.f64 (*.f64 y (neg.f64 x)) z)
(* -1 (* x (* y z)))
(*.f64 (*.f64 y (neg.f64 x)) z)
(* -1 (* x (* y z)))
(*.f64 (*.f64 y (neg.f64 x)) z)
(* -1 (* x (* y z)))
(*.f64 (*.f64 y (neg.f64 x)) z)
(* -1 (* x (* y z)))
(*.f64 (*.f64 y (neg.f64 x)) z)
(* -1 (* x (* y z)))
(*.f64 (*.f64 y (neg.f64 x)) z)
(* -1 (* x (* y z)))
(*.f64 (*.f64 y (neg.f64 x)) z)
(* -1 (* x (* y z)))
(*.f64 (*.f64 y (neg.f64 x)) z)
(* -1 (* x (* y z)))
(*.f64 (*.f64 y (neg.f64 x)) z)
(* -1 (* x (* y z)))
(*.f64 (*.f64 y (neg.f64 x)) z)
(* -1 (* x (* y z)))
(*.f64 (*.f64 y (neg.f64 x)) z)

rewrite447.0ms (4.1%)

Memory
-11.4MiB live, 407.1MiB allocated
Rules
4 812×lower-/.f32
4 800×lower-/.f64
4 702×lower-*.f32
4 668×lower-*.f64
3 822×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055355
0101305
1371231
22621231
08450230
Stop Event
iter limit
node limit
iter limit
Counts
24 → 1 017
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))
(*.f64 x (cos.f64 y))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
(neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))
#s(approx (* z (sin y)) (*.f64 y z))
(*.f64 y z)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))
(/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
(fma.f64 y z x)
(-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) x))
(fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) x)))))
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) x))))
(*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 z))
(/.f64 (fma.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 z)) z (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 z)) z (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(*.f64 (sin.f64 y) z)
(*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))
(fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 y (neg.f64 z)) x)
Outputs
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))
(+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) (neg.f64 z))))
(+.f64 (*.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64)) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) #s(literal 1 binary64)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 x (*.f64 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 x (cos.f64 y) (*.f64 (sin.f64 y) z))))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 x (*.f64 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 x (cos.f64 y) (*.f64 (sin.f64 y) z))))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))) (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))))
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(neg.f64 (*.f64 x (*.f64 y z)))
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(*.f64 (neg.f64 z) (*.f64 y x))
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(*.f64 (*.f64 x y) (neg.f64 z))

eval386.0ms (3.5%)

Memory
40.4MiB live, 494.7MiB allocated
Compiler

Compiled 68 730 to 4 004 computations (94.2% saved)

prune617.0ms (5.6%)

Memory
-24.7MiB live, 750.1MiB allocated
Pruning

60 alts after pruning (55 fresh and 5 done)

PrunedKeptTotal
New1 897351 932
Fresh152035
Picked325
Done033
Total1 915601 975
Accuracy
100.0%
Counts
1 975 → 60
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.0%
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
42.8%
(fma.f64 #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (neg.f64 z) (*.f64 x (cos.f64 y)))
45.8%
(fma.f64 #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) (neg.f64 z) (*.f64 x (cos.f64 y)))
46.5%
(pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
50.2%
(/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
49.9%
(/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal -1/4 binary64)) (neg.f64 z)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) z (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
46.4%
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
99.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))
32.0%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* (sin y) z))) (/.f64 (fma.f64 x (/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z))))
36.4%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* (sin y) z))) (/.f64 #s(literal 1 binary64) x)))
35.5%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* (sin y) z))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))))
99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
42.8%
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
58.6%
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y)))
39.7%
(-.f64 (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
39.8%
(-.f64 (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
39.9%
(-.f64 #s(approx (* x (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))) (*.f64 x #s(literal -1/2 binary64))) x)) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
39.8%
(-.f64 #s(approx (* x (cos y)) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal 1/24 binary64))) x)) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
48.2%
(*.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))))
40.3%
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x))
61.7%
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (-.f64 (/.f64 (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y)))))
65.8%
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
28.8%
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (/.f64 z (sin.f64 y)))))
91.3%
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 (neg.f64 x) (fma.f64 z (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (cos.f64 y)))))
65.8%
#s(approx (/ (+ (* (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg z)) z) (* x (* x (+ (* 1/2 (cos (+ y y))) 1/2)))) (+ (* x (cos y)) (* z (sin y)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
98.9%
#s(approx (/ (+ (* (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg z)) z) (* x (* x (+ (* 1/2 (cos (+ y y))) 1/2)))) (+ (* x (cos y)) (* z (sin y)))) (-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
29.1%
#s(approx (/ (+ (* (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg z)) z) (* x (* x (+ (* 1/2 (cos (+ y y))) 1/2)))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y)))))
84.6%
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* (sin y) z)))) (*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))))
66.2%
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* (sin y) z)))) (*.f64 x (cos.f64 y)))
42.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
12.9%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (neg.f64 z)) (*.f64 z z) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) x)))))
12.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)))))
25.6%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
25.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
25.5%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (fma.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 y z))) (fma.f64 y z x)) (/.f64 (*.f64 x (fma.f64 y z x)) x) (*.f64 (*.f64 y z) (-.f64 x (*.f64 y z)))))))
23.6%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (fma.f64 x x (*.f64 (neg.f64 (*.f64 z (*.f64 y z))) y)))))
14.9%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (/.f64 (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))) (*.f64 (-.f64 (*.f64 y z) x) (fma.f64 y z x))))))
7.9%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 #s(approx (+ (* y z) x) (*.f64 z y)) (-.f64 x (*.f64 y z))))))
21.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (fma.f64 y (-.f64 (fma.f64 y (*.f64 z (neg.f64 z)) (*.f64 z x)) (*.f64 z x)) (*.f64 x x))))))
4.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 (*.f64 z z) (*.f64 y (neg.f64 y)))))))
13.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 (*.f64 z z) (neg.f64 (fma.f64 y y (/.f64 (+.f64 (neg.f64 (fma.f64 y x (/.f64 (*.f64 x x) z))) (*.f64 y x)) z))))))))
21.0%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 x x)))))
21.0%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* y z) x) (*.f64 y (+.f64 z (/.f64 x y)))) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
35.6%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x))))
9.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 (/.f64 x (*.f64 y (*.f64 z z))) (/.f64 #s(literal 1 binary64) z)) (neg.f64 y)))))
6.4%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 (/.f64 x (neg.f64 (*.f64 z (*.f64 y y)))) (/.f64 #s(literal -1 binary64) y)) z))))
9.8%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(literal -1 binary64) (*.f64 z y)))))
23.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) (/.f64 (-.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))))
25.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))
41.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
92.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))))
35.6%
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
9.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))))
9.5%
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 z (*.f64 y y)) #s(literal -1/6 binary64) z)))))
9.5%
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))) z)))))
9.8%
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
35.6%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (* y (* y y)) (neg (* z (* z z)))) (* x (* x x))) (+ (* y (* z (* y z))) (- (* x x) (* (* y (neg z)) x)))) (*.f64 z (-.f64 (/.f64 x z) y))))
31.5%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (* y (* y y)) (neg (* z (* z z)))) (* x (* x x))) (+ (* y (* z (* y z))) (- (* x x) (* (* y (neg z)) x)))) (*.f64 y (-.f64 (/.f64 x y) z))))
39.5%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (* y (* y y)) (neg (* z (* z z)))) (* x (* x x))) (+ (* y (* z (* y z))) (- (* x x) (* (* y (neg z)) x)))) (*.f64 x (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)))))
9.5%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (neg (* z (sin y))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
Compiler

Compiled 2 618 to 1 419 computations (45.8% saved)

simplify217.0ms (2%)

Memory
-8.7MiB live, 302.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))
cost-diff0
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
cost-diff0
#s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))
cost-diff0
(fma.f64 #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (neg.f64 z) (*.f64 x (cos.f64 y)))
cost-diff0
(*.f64 y (*.f64 y y))
cost-diff0
(fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x)))
cost-diff0
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x))))
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)))))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 y z x))
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (-.f64 x (*.f64 y z)))
cost-diff1792
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x))
cost-diff0
(neg.f64 z)
cost-diff0
(fma.f64 (neg.f64 z) y x)
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
cost-diff0
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
cost-diff0
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
cost-diff0
#s(approx (/ (+ (* (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg z)) z) (* x (* x (+ (* 1/2 (cos (+ y y))) 1/2)))) (+ (* x (cos y)) (* z (sin y)))) (-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
cost-diff13888
(-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
Rules
11 958×lower-fma.f32
11 940×lower-fma.f64
4 924×lower-*.f32
4 892×lower-*.f64
2 118×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077577
0126511
1262501
2646480
31968480
45337480
08212476
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ (* (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg z)) z) (* x (* x (+ (* 1/2 (cos (+ y y))) 1/2)))) (+ (* x (cos y)) (* z (sin y)))) (-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
x
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
(cos.f64 y)
(/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
(fma.f64 (neg.f64 z) y x)
(neg.f64 z)
z
y
x
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (-.f64 x (*.f64 y z)))
(/.f64 #s(literal 1 binary64) (fma.f64 y z x))
#s(literal 1 binary64)
(fma.f64 y z x)
y
z
x
(-.f64 x (*.f64 y z))
(*.f64 y z)
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)))))
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x))))
(fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x)))
(*.f64 y (*.f64 y y))
y
(*.f64 y y)
(neg.f64 (*.f64 z (*.f64 z z)))
(*.f64 z (*.f64 z z))
z
(*.f64 z z)
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
(fma.f64 y (*.f64 z (*.f64 y z)) #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)))
(*.f64 z (*.f64 y z))
(*.f64 y z)
#s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x))
(fma.f64 #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (neg.f64 z) (*.f64 x (cos.f64 y)))
#s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))
y
(*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(*.f64 y y)
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(*.f64 y (*.f64 y y))
(neg.f64 z)
z
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
Outputs
#s(approx (/ (+ (* (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg z)) z) (* x (* x (+ (* 1/2 (cos (+ y y))) 1/2)))) (+ (* x (cos y)) (* z (sin y)))) (-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg z)) z) (* x (* x (+ (* 1/2 (cos (+ y y))) 1/2)))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (-.f64 x (/.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))))
(-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (-.f64 x (/.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (cos.f64 (*.f64 y #s(literal -2 binary64))) x))
x
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
(cos.f64 y)
(/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
#s(literal 2 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 x (*.f64 y z)))
(fma.f64 (neg.f64 z) y x)
(-.f64 x (*.f64 y z))
(neg.f64 z)
z
y
x
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 y z)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x))
(-.f64 x (*.f64 y z))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (-.f64 x (*.f64 y z)))
(/.f64 (-.f64 x (*.f64 y z)) (fma.f64 y z x))
(/.f64 #s(literal 1 binary64) (fma.f64 y z x))
#s(literal 1 binary64)
(fma.f64 y z x)
y
z
x
(-.f64 x (*.f64 y z))
(*.f64 y z)
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 y (*.f64 y (*.f64 y (*.f64 z (*.f64 z (neg.f64 z))))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 y (*.f64 z z)) #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)))))
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x))))
(/.f64 (fma.f64 y (*.f64 y (*.f64 y (*.f64 z (*.f64 z (neg.f64 z))))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 y (*.f64 z z)) #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x))))
(fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x)))
(fma.f64 y (*.f64 y (*.f64 y (*.f64 z (*.f64 z (neg.f64 z))))) (*.f64 x (*.f64 x x)))
(*.f64 y (*.f64 y y))
y
(*.f64 y y)
(neg.f64 (*.f64 z (*.f64 z z)))
(*.f64 z (*.f64 z (neg.f64 z)))
(*.f64 z (*.f64 z z))
z
(*.f64 z z)
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
(fma.f64 y (*.f64 z (*.f64 y z)) #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)))
(fma.f64 y (*.f64 y (*.f64 z z)) #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)))
(*.f64 z (*.f64 y z))
(*.f64 y (*.f64 z z))
(*.f64 y z)
#s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x))
(fma.f64 #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (neg.f64 z) (*.f64 x (cos.f64 y)))
(fma.f64 (neg.f64 z) #s(approx (sin y) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y)) (*.f64 x (cos.f64 y)))
#s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))
#s(approx (sin y) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y))
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y)
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
y
(*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
(*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(*.f64 y y)
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(*.f64 y (*.f64 y y))
(neg.f64 z)
z
(*.f64 x (cos.f64 y))
x
(cos.f64 y)

localize272.0ms (2.5%)

Memory
11.7MiB live, 492.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.08984375
(*.f64 y (*.f64 y y))
accuracy0.11328125
(*.f64 x (cos.f64 y))
accuracy0.13671875
(*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
accuracy38.3949202960531
#s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))
accuracy17.71050639180091
(fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x)))
accuracy26.421521183772136
#s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x))
accuracy36.96441231445891
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)))))
accuracy41.448934910732476
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x))))
accuracy0.021816259768442016
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x))
accuracy0.5675474827814277
(/.f64 #s(literal 1 binary64) (fma.f64 y z x))
accuracy9.354940500716076
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (-.f64 x (*.f64 y z)))
accuracy36.96441231445891
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
accuracy0
(fma.f64 (neg.f64 z) y x)
accuracy0
(neg.f64 z)
accuracy36.96441231445891
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
accuracy0.201503759768442
(/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
accuracy0.236660009768442
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
accuracy0.28125
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
accuracy0.5304359563123087
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
Samples
127.0ms218×0valid
47.0ms38×1valid
Compiler

Compiled 459 to 75 computations (83.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 142.0ms
ival-mult: 53.0ms (37.4% of total)
ival-cos: 30.0ms (21.2% of total)
ival-add: 17.0ms (12% of total)
const: 10.0ms (7.1% of total)
ival-div: 8.0ms (5.6% of total)
ival-sin: 6.0ms (4.2% of total)
adjust: 5.0ms (3.5% of total)
ival-sub: 5.0ms (3.5% of total)
ival-neg: 4.0ms (2.8% of total)
ival-pow2: 3.0ms (2.1% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series75.0ms (0.7%)

Memory
-12.7MiB live, 144.1MiB allocated
Counts
25 → 660
Calls
Call 1
Inputs
#s(alt (-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (patch (-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg z)) z) (* x (* x (+ (* 1/2 (cos (+ y y))) 1/2)))) (+ (* x (cos y)) (* z (sin y)))) (-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (patch #s(approx (/ (+ (* (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg z)) z) (* x (* x (+ (* 1/2 (cos (+ y y))) 1/2)))) (+ (* x (cos y)) (* z (sin y)))) (-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (patch (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) #<representation binary64>) () ())
#s(alt (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 z) y x) (patch (fma.f64 (neg.f64 z) y x) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x)) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (-.f64 x (*.f64 y z))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (-.f64 x (*.f64 y z))) #<representation binary64>) () ())
#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) #<representation binary64>) () ())
#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x))))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x))))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)))) (patch (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (patch (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())
#s(alt (*.f64 y (*.f64 y y)) (patch (*.f64 y (*.f64 y y)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (neg.f64 z) (*.f64 x (cos.f64 y))) (patch (fma.f64 #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (neg.f64 z) (*.f64 x (cos.f64 y))) #<representation binary64>) () ())
#s(alt #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (patch #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) (patch (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) #<representation binary64>) () ())
#s(alt (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (patch (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -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 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (patch (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)) (patch #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (patch (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())
Outputs
#s(alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (taylor 0 x) (#s(alt (-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (patch (-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (taylor 0 x) (#s(alt (-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (patch (-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (taylor 0 x) (#s(alt (-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (patch (-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (taylor 0 x) (#s(alt (-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (patch (-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (taylor inf x) (#s(alt (-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (patch (-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 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)))))) (taylor inf x) (#s(alt (-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (patch (-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 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)))))) (taylor inf x) (#s(alt (-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (patch (-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 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)))))) (taylor inf x) (#s(alt (-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (patch (-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (taylor -inf x) (#s(alt (-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (patch (-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (patch (-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (patch (-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (patch (-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (patch (-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (+ (* x (* y z)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)) (patch #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (* y z)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)) (patch #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (* y z)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)) (patch #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor inf y) (#s(alt #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)) (patch #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ (pow x 2) y) (* -1 (* x z)))) (taylor inf y) (#s(alt #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)) (patch #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ (pow x 2) y) (* -1 (* x z)))) (taylor inf y) (#s(alt #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)) (patch #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ (pow x 2) y) (* -1 (* x z)))) (taylor inf y) (#s(alt #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)) (patch #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf y) (#s(alt #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)) (patch #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) (* x z)))) (taylor -inf y) (#s(alt #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)) (patch #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) (* x z)))) (taylor -inf y) (#s(alt #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)) (patch #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) (* x z)))) (taylor -inf y) (#s(alt #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)) (patch #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 z) (#s(alt #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)) (patch #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (* y z)) (pow x 2)) (taylor 0 z) (#s(alt #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)) (patch #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (* y z)) (pow x 2)) (taylor 0 z) (#s(alt #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)) (patch #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (* y z)) (pow x 2)) (taylor 0 z) (#s(alt #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)) (patch #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor inf z) (#s(alt #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)) (patch #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ (pow x 2) z) (* -1 (* x y)))) (taylor inf z) (#s(alt #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)) (patch #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ (pow x 2) z) (* -1 (* x y)))) (taylor inf z) (#s(alt #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)) (patch #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ (pow x 2) z) (* -1 (* x y)))) (taylor inf z) (#s(alt #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)) (patch #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf z) (#s(alt #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)) (patch #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (pow x 2) z)) (* x y)))) (taylor -inf z) (#s(alt #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)) (patch #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (pow x 2) z)) (* x y)))) (taylor -inf z) (#s(alt #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)) (patch #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (pow x 2) z)) (* x y)))) (taylor -inf z) (#s(alt #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)) (patch #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 y) (taylor 0 y) (#s(alt (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (patch (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/120 (* -1/5040 (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (patch (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/120 (* -1/5040 (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (patch (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/120 (* -1/5040 (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (patch (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow y 3)) (taylor inf y) (#s(alt (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (patch (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) (taylor inf y) (#s(alt (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (patch (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) (taylor inf y) (#s(alt (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (patch (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) (taylor inf y) (#s(alt (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (patch (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow y 3)) (taylor -inf y) (#s(alt (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (patch (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2)))))) (taylor -inf y) (#s(alt (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (patch (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2)))))) (taylor -inf y) (#s(alt (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (patch (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2)))))) (taylor -inf y) (#s(alt (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (patch (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #<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 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 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 (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 (* 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 (* 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>) () ())) ())
Calls

165 calls:

TimeVariablePointExpression
12.0ms
z
@-inf
(* (/ 1 (+ (* y z) x)) (- x (* y z)))
4.0ms
y
@-inf
(- (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (pow (cos y) 2)))
2.0ms
y
@inf
(- (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (pow (cos y) 2)))
2.0ms
x
@0
(- (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (pow (cos y) 2)))
2.0ms
x
@-inf
(* (/ 1 (+ (* y z) x)) (- x (* y z)))

simplify403.0ms (3.7%)

Memory
-4.3MiB live, 399.3MiB allocated
Algorithm
egg-herbie
Rules
6 724×lower-fma.f64
6 724×lower-fma.f32
5 990×lower-*.f64
5 990×lower-*.f32
3 692×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010479448
135899042
081928657
Stop Event
iter limit
node limit
Counts
660 → 637
Calls
Call 1
Inputs
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(- (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(- (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(- (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(* 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 (* 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))))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* y (- (* -1 x) (* -1/2 x))) z)))
(+ x (* y (- (* y (- (+ (* -1 x) (* y (- (* -1 z) (* -7/6 z)))) (* -1/2 x))) z)))
(- (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* 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 (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(- (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* 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 (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(- (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* 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 (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(- (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* 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 (* (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))) (/ (* 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)))
(* z (- (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))
(* z (- (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))
(* z (- (/ (* 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 (- (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (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)))) (* -1 (/ (* (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)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* y (- (* -1 x) (* -1/2 x))) z)))
(+ x (* y (- (* y (- (+ (* -1 x) (* -1 (* y (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 x) (* -1/2 x))) x)))))) (* -1/2 x))) z)))
(/ (+ (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ (* x (cos y)) (* z (sin y))))
(/ (+ (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ (* x (cos y)) (* z (sin y))))
(/ (+ (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ (* x (cos y)) (* z (sin y))))
(/ (+ (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ (* x (cos y)) (* z (sin y))))
(/ (+ (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (+ (* x (cos y)) (* z (sin y))))
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(/ (+ (* -1 (/ x (* (pow y 2) z))) (/ 1 y)) z)
(/ (- (+ (/ 1 y) (/ (pow x 2) (* (pow y 3) (pow z 2)))) (/ x (* (pow y 2) z))) z)
(/ (- (+ (* -1 (/ (pow x 3) (* (pow y 4) (pow z 3)))) (/ 1 y)) (+ (* -1 (/ (pow x 2) (* (pow y 3) (pow z 2)))) (/ x (* (pow y 2) z)))) z)
(/ 1 (* y z))
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(/ 1 (* y z))
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(+ (* x (- (* x (+ (* -1 (/ x (* (pow y 4) (pow z 4)))) (/ 1 (* (pow y 3) (pow z 3))))) (/ 1 (* (pow y 2) (pow z 2))))) (/ 1 (* y z)))
(/ 1 x)
(/ (+ 1 (* -1 (/ (* y z) x))) x)
(/ (- (+ 1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (/ (* y z) x)) x)
(/ (- (+ 1 (* -1 (/ (* (pow y 3) (pow z 3)) (pow x 3)))) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (/ (* y z) x))) x)
(/ 1 x)
(* -1 (/ (- (/ (* y z) x) 1) x))
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (pow z 3)) x) (* (pow y 2) (pow z 2))) x)) (* y z)) x)) 1) x))
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
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(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
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(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
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(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
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(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
x
(+ x (* -1 (* y z)))
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(* y (- (+ (* -1 z) (/ (* x (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))) (* (pow y 3) z))) (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (* (pow y 2) z))) (/ (pow x 2) (* (pow y 2) z))))))
(* -1 (* y z))
(* -1 (* y (+ z (* -1 (/ x y)))))
(* -1 (* y (+ z (* -1 (/ (- (+ (* -1 (/ (pow x 2) (* y z))) (/ (pow x 2) (* y z))) (* -1 x)) y)))))
(* -1 (* y (+ z (* -1 (/ (- (* -1 (/ (- (/ (* x (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))) (* y z)) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))) y)) (* -1 x)) y)))))
x
(+ x (* -1 (* y z)))
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(* -1 (* y z))
(* z (+ (* -1 y) (/ x z)))
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(* z (- (+ (* -1 y) (/ (* x (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y))) (* y (pow z 3)))) (+ (* -1 (/ x z)) (+ (* -1 (/ (pow x 2) (* y (pow z 2)))) (/ (pow x 2) (* y (pow z 2)))))))
(* -1 (* y z))
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(* -1 (* z (+ y (* -1 (/ (- (* -1 (/ (- (/ (* x (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y))) (* y z)) (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y))) z)) (* -1 x)) z)))))
(* -1 (* y z))
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x
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x
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(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ (* y (* z (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2))))) x) (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2)))) x)) (* y z)) x)) 1)))
(pow x 3)
(+ (* -1 (* (pow y 3) (pow z 3))) (pow x 3))
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(+ (* -1 (* (pow y 3) (pow z 3))) (pow x 3))
(* -1 (* (pow y 3) (pow z 3)))
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(* (pow y 3) (+ (* -1 (pow z 3)) (/ (pow x 3) (pow y 3))))
(* (pow y 3) (+ (* -1 (pow z 3)) (/ (pow x 3) (pow y 3))))
(* -1 (* (pow y 3) (pow z 3)))
(* -1 (* (pow y 3) (+ (* -1 (/ (pow x 3) (pow y 3))) (pow z 3))))
(* -1 (* (pow y 3) (+ (* -1 (/ (pow x 3) (pow y 3))) (pow z 3))))
(* -1 (* (pow y 3) (+ (* -1 (/ (pow x 3) (pow y 3))) (pow z 3))))
(pow x 3)
(+ (* -1 (* (pow y 3) (pow z 3))) (pow x 3))
(+ (* -1 (* (pow y 3) (pow z 3))) (pow x 3))
(+ (* -1 (* (pow y 3) (pow z 3))) (pow x 3))
(* -1 (* (pow y 3) (pow z 3)))
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(* (pow z 3) (+ (* -1 (pow y 3)) (/ (pow x 3) (pow z 3))))
(* (pow z 3) (+ (* -1 (pow y 3)) (/ (pow x 3) (pow z 3))))
(* -1 (* (pow y 3) (pow z 3)))
(* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (pow y 3))))
(* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (pow y 3))))
(* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (pow y 3))))
(* -1 (* (pow y 3) (pow z 3)))
(+ (* -1 (* (pow y 3) (pow z 3))) (pow x 3))
(+ (* -1 (* (pow y 3) (pow z 3))) (pow x 3))
(+ (* -1 (* (pow y 3) (pow z 3))) (pow x 3))
(pow x 3)
(* (pow x 3) (+ 1 (* -1 (/ (* (pow y 3) (pow z 3)) (pow x 3)))))
(* (pow x 3) (+ 1 (* -1 (/ (* (pow y 3) (pow z 3)) (pow x 3)))))
(* (pow x 3) (+ 1 (* -1 (/ (* (pow y 3) (pow z 3)) (pow x 3)))))
(pow x 3)
(* -1 (* (pow x 3) (- (/ (* (pow y 3) (pow z 3)) (pow x 3)) 1)))
(* -1 (* (pow x 3) (- (/ (* (pow y 3) (pow z 3)) (pow x 3)) 1)))
(* -1 (* (pow x 3) (- (/ (* (pow y 3) (pow z 3)) (pow x 3)) 1)))
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (sin y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* -1/5040 (pow y 7))
(* (pow y 7) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 7) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* (pow y 7) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* -1/5040 (pow y 7))
(* -1 (* (pow y 7) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))
(* -1 (* (pow y 7) (- (+ 1/5040 (/ 1/6 (pow y 4))) (* 1/120 (/ 1 (pow y 2))))))
(* -1 (* (pow y 7) (- (+ 1/5040 (/ 1/6 (pow y 4))) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
-1/6
(- (* 1/120 (pow y 2)) 1/6)
(- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)
(- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)
(* -1/5040 (pow y 4))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* -1/5040 (pow y 4))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(* y z)
(* y (+ z (* (pow y 2) (- (* -7/6 z) (* -1 z)))))
(* y (+ z (* (pow y 2) (- (+ (* -7/6 z) (* (pow y 2) (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z))))) (* -1 z)))))
(* y (+ z (* (pow y 2) (- (+ (* -7/6 z) (* (pow y 2) (- (+ (* 61/120 z) (* (pow y 2) (- (* -547/5040 z) (+ (* -1 (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z)))) (+ (* -2/45 z) (* 1/3 (- (* -7/6 z) (* -1 z)))))))) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z))))) (* -1 z)))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(* x (* y z))
(* x (- x (* -1 (* y z))))
(* x (- x (* -1 (* y z))))
(* x (- x (* -1 (* y z))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (* y z) x)))
(* (pow x 2) (+ 1 (/ (* y z) x)))
(* (pow x 2) (+ 1 (/ (* y z) x)))
(pow x 2)
(* (pow x 2) (+ 1 (/ (* y z) x)))
(* (pow x 2) (+ 1 (/ (* y z) x)))
(* (pow x 2) (+ 1 (/ (* y z) x)))
(pow x 2)
(+ (* x (* y z)) (pow x 2))
(+ (* x (* y z)) (pow x 2))
(+ (* x (* y z)) (pow x 2))
(* x (* y z))
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(* x (* y z))
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(+ (* x (* y z)) (pow x 2))
(+ (* x (* y z)) (pow x 2))
(+ (* x (* y z)) (pow x 2))
(* x (* y z))
(* z (- (/ (pow x 2) z) (* -1 (* x y))))
(* z (- (/ (pow x 2) z) (* -1 (* x y))))
(* z (- (/ (pow x 2) z) (* -1 (* x y))))
(* x (* y z))
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* x y))))
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* x y))))
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* x y))))
(* 1/120 y)
(* y (+ 1/120 (* -1/5040 (pow y 2))))
(* y (+ 1/120 (* -1/5040 (pow y 2))))
(* y (+ 1/120 (* -1/5040 (pow y 2))))
(* -1/5040 (pow y 3))
(* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* -1/5040 (pow y 3))
(* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))
(* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))
(* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
Outputs
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(- (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(-.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(- (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(-.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(- (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(-.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
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(/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(* y z)
(*.f64 z y)
(* y (+ z (* (pow y 2) (- (* -7/6 z) (* -1 z)))))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z))
(* y (+ z (* (pow y 2) (- (+ (* -7/6 z) (* (pow y 2) (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z))))) (* -1 z)))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 z #s(literal -7/6 binary64) (fma.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal 61/120 binary64)) (fma.f64 z #s(literal 1/3 binary64) (*.f64 z #s(literal 1/6 binary64)))) z)) z))
(* y (+ z (* (pow y 2) (- (+ (* -7/6 z) (* (pow y 2) (- (+ (* 61/120 z) (* (pow y 2) (- (* -547/5040 z) (+ (* -1 (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z)))) (+ (* -2/45 z) (* 1/3 (- (* -7/6 z) (* -1 z)))))))) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z))))) (* -1 z)))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 z #s(literal -7/6 binary64) (fma.f64 (*.f64 y y) (-.f64 (fma.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal -547/5040 binary64)) (-.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 z #s(literal -1/6 binary64)) (*.f64 z #s(literal -2/45 binary64))) (-.f64 (*.f64 z #s(literal 61/120 binary64)) (fma.f64 z #s(literal 1/3 binary64) (*.f64 z #s(literal 1/6 binary64)))))) (*.f64 z #s(literal 61/120 binary64))) (fma.f64 z #s(literal 1/3 binary64) (*.f64 z #s(literal 1/6 binary64)))) z)) z))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(* x (* y z))
(*.f64 x (*.f64 z y))
(* x (- x (* -1 (* y z))))
(*.f64 x (+.f64 x (*.f64 z y)))
(* x (- x (* -1 (* y z))))
(*.f64 x (+.f64 x (*.f64 z y)))
(* x (- x (* -1 (* y z))))
(*.f64 x (+.f64 x (*.f64 z y)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ (* y z) x)))
(*.f64 (*.f64 x x) (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (/ (* y z) x)))
(*.f64 (*.f64 x x) (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (/ (* y z) x)))
(*.f64 (*.f64 x x) (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ (* y z) x)))
(*.f64 (*.f64 x x) (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (/ (* y z) x)))
(*.f64 (*.f64 x x) (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (/ (* y z) x)))
(*.f64 (*.f64 x x) (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))
(pow x 2)
(*.f64 x x)
(+ (* x (* y z)) (pow x 2))
(*.f64 x (+.f64 x (*.f64 z y)))
(+ (* x (* y z)) (pow x 2))
(*.f64 x (+.f64 x (*.f64 z y)))
(+ (* x (* y z)) (pow x 2))
(*.f64 x (+.f64 x (*.f64 z y)))
(* x (* y z))
(*.f64 x (*.f64 z y))
(* y (- (/ (pow x 2) y) (* -1 (* x z))))
(*.f64 y (+.f64 (/.f64 (*.f64 x x) y) (*.f64 z x)))
(* y (- (/ (pow x 2) y) (* -1 (* x z))))
(*.f64 y (+.f64 (/.f64 (*.f64 x x) y) (*.f64 z x)))
(* y (- (/ (pow x 2) y) (* -1 (* x z))))
(*.f64 y (+.f64 (/.f64 (*.f64 x x) y) (*.f64 z x)))
(* x (* y z))
(*.f64 x (*.f64 z y))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* x z))))
(neg.f64 (*.f64 y (-.f64 (neg.f64 (/.f64 (*.f64 x x) y)) (*.f64 z x))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* x z))))
(neg.f64 (*.f64 y (-.f64 (neg.f64 (/.f64 (*.f64 x x) y)) (*.f64 z x))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* x z))))
(neg.f64 (*.f64 y (-.f64 (neg.f64 (/.f64 (*.f64 x x) y)) (*.f64 z x))))
(pow x 2)
(*.f64 x x)
(+ (* x (* y z)) (pow x 2))
(*.f64 x (+.f64 x (*.f64 z y)))
(+ (* x (* y z)) (pow x 2))
(*.f64 x (+.f64 x (*.f64 z y)))
(+ (* x (* y z)) (pow x 2))
(*.f64 x (+.f64 x (*.f64 z y)))
(* x (* y z))
(*.f64 x (*.f64 z y))
(* z (- (/ (pow x 2) z) (* -1 (* x y))))
(*.f64 z (+.f64 (/.f64 (*.f64 x x) z) (*.f64 y x)))
(* z (- (/ (pow x 2) z) (* -1 (* x y))))
(*.f64 z (+.f64 (/.f64 (*.f64 x x) z) (*.f64 y x)))
(* z (- (/ (pow x 2) z) (* -1 (* x y))))
(*.f64 z (+.f64 (/.f64 (*.f64 x x) z) (*.f64 y x)))
(* x (* y z))
(*.f64 x (*.f64 z y))
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* x y))))
(neg.f64 (*.f64 z (-.f64 (neg.f64 (/.f64 (*.f64 x x) z)) (*.f64 y x))))
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* x y))))
(neg.f64 (*.f64 z (-.f64 (neg.f64 (/.f64 (*.f64 x x) z)) (*.f64 y x))))
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* x y))))
(neg.f64 (*.f64 z (-.f64 (neg.f64 (/.f64 (*.f64 x x) z)) (*.f64 y x))))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* y (+ 1/120 (* -1/5040 (pow y 2))))
(*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
(* y (+ 1/120 (* -1/5040 (pow y 2))))
(*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
(* y (+ 1/120 (* -1/5040 (pow y 2))))
(*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
(* -1/5040 (pow y 3))
(*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/5040 binary64))
(* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(*.f64 (*.f64 y (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal -1/5040 binary64)))
(* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(*.f64 (*.f64 y (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal -1/5040 binary64)))
(* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(*.f64 (*.f64 y (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal -1/5040 binary64)))
(* -1/5040 (pow y 3))
(*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/5040 binary64))
(* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))
(*.f64 (*.f64 y (*.f64 y y)) (neg.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 y y)))))
(* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))
(*.f64 (*.f64 y (*.f64 y y)) (neg.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 y y)))))
(* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))
(*.f64 (*.f64 y (*.f64 y y)) (neg.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 y y)))))
(* 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))
(*.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))
(*.f64 (cos.f64 y) x)
x
(+ x (* -1/2 (* x (pow y 2))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y)) (*.f64 x #s(literal -1/2 binary64))) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x (*.f64 y y)))) (*.f64 x #s(literal -1/2 binary64))) 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))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)

rewrite641.0ms (5.8%)

Memory
21.8MiB live, 534.4MiB allocated
Rules
7 472×lower-*.f32
7 440×lower-*.f64
5 752×lower-fma.f32
5 734×lower-fma.f64
3 222×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077444
0126388
1511366
24197362
010508359
Stop Event
iter limit
node limit
iter limit
Counts
25 → 651
Calls
Call 1
Inputs
(-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg z)) z) (* x (* x (+ (* 1/2 (cos (+ y y))) 1/2)))) (+ (* x (cos y)) (* z (sin y)))) (-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
(fma.f64 (neg.f64 z) y x)
(neg.f64 z)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (-.f64 x (*.f64 y z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
(/.f64 #s(literal 1 binary64) (fma.f64 y z x))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)))))
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x))))
(fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x)))
(*.f64 y (*.f64 y y))
(fma.f64 #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (neg.f64 z) (*.f64 x (cos.f64 y)))
#s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
#s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x))
(*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
(*.f64 x (cos.f64 y))
Outputs
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(+.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (neg.f64 (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 #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
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(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (pow.f64 (/.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)))
(*.f64 (/.f64 z (cos.f64 y)) (/.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)) (cos.f64 y)))
(*.f64 (pow.f64 (/.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)))
(*.f64 (pow.f64 (/.f64 (cos.f64 y) z) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))) #s(literal -1 binary64)))
#s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x))
(+.f64 (*.f64 y #s(literal 1/120 binary64)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/5040 binary64)))
(+.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/5040 binary64)) (*.f64 y #s(literal 1/120 binary64)))
(fma.f64 y #s(literal 1/120 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/5040 binary64)))
(fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) (*.f64 y #s(literal 1/120 binary64)))
(fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/5040 binary64)) (*.f64 y #s(literal 1/120 binary64)))
(fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/5040 binary64) (*.f64 y #s(literal 1/120 binary64)))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y y)) (*.f64 y #s(literal 1/120 binary64)))
(fma.f64 #s(literal 1/120 binary64) y (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/5040 binary64)))
(fma.f64 (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) y (*.f64 y #s(literal 1/120 binary64)))
(fma.f64 (*.f64 y #s(literal -1/5040 binary64)) (*.f64 y y) (*.f64 y #s(literal 1/120 binary64)))
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/128024064000 binary64))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64))) (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/5040 binary64)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/5040 binary64)) (-.f64 (*.f64 (*.f64 y #s(literal 1/120 binary64)) (*.f64 y #s(literal 1/120 binary64))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/5040 binary64)) (*.f64 y #s(literal 1/120 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/5040 binary64)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/5040 binary64))) (*.f64 (*.f64 y #s(literal 1/120 binary64)) (*.f64 y #s(literal 1/120 binary64)))) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/5040 binary64)) (*.f64 y #s(literal 1/120 binary64))))
(/.f64 (*.f64 y (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64))) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64)))))
(/.f64 (*.f64 y (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)) y) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)))
(*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) y)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)

eval261.0ms (2.4%)

Memory
23.1MiB live, 488.2MiB allocated
Compiler

Compiled 44 791 to 2 769 computations (93.8% saved)

prune402.0ms (3.7%)

Memory
-30.2MiB live, 782.6MiB allocated
Pruning

64 alts after pruning (57 fresh and 7 done)

PrunedKeptTotal
New1 337211 358
Fresh143650
Picked325
Done055
Total1 354641 418
Accuracy
100.0%
Counts
1 418 → 64
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.0%
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
42.8%
(fma.f64 #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (neg.f64 z) (*.f64 x (cos.f64 y)))
45.8%
(fma.f64 #s(approx (sin y) (fma.f64 #s(approx (+ (* y (* y (+ (* (* y y) -1/5040) 1/120))) -1/6) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (neg.f64 z) (*.f64 x (cos.f64 y)))
46.5%
(pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
50.2%
(/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
46.4%
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
99.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))
36.4%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* (sin y) z))) (/.f64 #s(literal 1 binary64) x)))
35.5%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* (sin y) z))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))))
99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
42.8%
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
58.6%
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y)))
39.7%
(-.f64 (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
39.8%
(-.f64 (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
39.9%
(-.f64 #s(approx (* x (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))) (*.f64 x #s(literal -1/2 binary64))) x)) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
39.8%
(-.f64 #s(approx (* x (cos y)) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal 1/24 binary64))) x)) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
48.2%
(*.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))))
40.3%
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x))
61.7%
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (-.f64 (/.f64 (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y)))))
65.8%
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
28.8%
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (/.f64 z (sin.f64 y)))))
99.3%
#s(approx (/ (+ (* (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg z)) z) (* x (* x (+ (* 1/2 (cos (+ y y))) 1/2)))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (neg.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 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))))
65.8%
#s(approx (/ (+ (* (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg z)) z) (* x (* x (+ (* 1/2 (cos (+ y y))) 1/2)))) (+ (* x (cos y)) (* z (sin y)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
29.1%
#s(approx (/ (+ (* (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg z)) z) (* x (* x (+ (* 1/2 (cos (+ y y))) 1/2)))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y)))))
35.3%
#s(approx (/ (+ (* (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg z)) z) (* x (* x (+ (* 1/2 (cos (+ y y))) 1/2)))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (- (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (pow (cos y) 2))) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
65.7%
#s(approx (/ (+ (* (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg z)) z) (* x (* x (+ (* 1/2 (cos (+ y y))) 1/2)))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (- (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (pow (cos y) 2))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))))
84.6%
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* (sin y) z)))) (*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))))
66.2%
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* (sin y) z)))) (*.f64 x (cos.f64 y)))
39.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (/.f64 (-.f64 x (*.f64 y z)) (fma.f64 y z x)) x (/.f64 (*.f64 (-.f64 x (*.f64 y z)) (*.f64 y z)) (fma.f64 y z x))))
36.9%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (/.f64 (*.f64 z (neg.f64 z)) (+.f64 #s(literal 0 binary64) z)) y x))
21.4%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (/.f64 (neg.f64 (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) y x))
42.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
12.9%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (neg.f64 z)) (*.f64 z z) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)))))
25.6%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
25.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
15.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x (fma.f64 y z x) (*.f64 y (*.f64 y (*.f64 z z)))) (-.f64 x (*.f64 y z))) (fma.f64 y (*.f64 z (*.f64 y z)) #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)))))
13.0%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (/.f64 (-.f64 x (*.f64 y z)) (fma.f64 y z x)) (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z)))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 y (*.f64 z z))))))
14.5%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (-.f64 x (*.f64 y z))) (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z)))))
25.5%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (fma.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 y z))) (fma.f64 y z x)) (/.f64 (*.f64 x (fma.f64 y z x)) x) (*.f64 (*.f64 y z) (-.f64 x (*.f64 y z)))))))
23.6%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (fma.f64 x x (*.f64 (neg.f64 (*.f64 z (*.f64 y z))) y)))))
4.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 (*.f64 z z) (*.f64 y (neg.f64 y)))))))
13.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 (*.f64 z z) (neg.f64 (fma.f64 y y (/.f64 (+.f64 (neg.f64 (fma.f64 y x (/.f64 (*.f64 x x) z))) (*.f64 y x)) z))))))))
21.0%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 x x)))))
21.0%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* y z) x) (*.f64 y (+.f64 z (/.f64 x y)))) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
35.6%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x))))
9.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 (/.f64 x (*.f64 y (*.f64 z z))) (/.f64 #s(literal 1 binary64) z)) (neg.f64 y)))))
21.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) (fma.f64 y z x))))
23.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) (/.f64 (-.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))))
13.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z)))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 y (*.f64 z z))))))
25.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))
13.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (/.f64 (-.f64 x (*.f64 y z)) (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z)))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 y (*.f64 z z))))) (fma.f64 y z x)))
24.5%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) (-.f64 (*.f64 y z) x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
8.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 #s(approx (/ 1 (+ (* y z) x)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (*.f64 y (*.f64 z z)))) y)) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
9.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 #s(approx (/ 1 (+ (* y z) x)) (/.f64 #s(literal 1 binary64) (*.f64 z y))) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
35.4%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 #s(approx (/ 1 (+ (* y z) x)) (/.f64 #s(literal 1 binary64) x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
9.9%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (* (/ 1 (+ (* y z) x)) (- x (* y z))) (fma.f64 #s(literal 2 binary64) (/.f64 x (*.f64 z y)) #s(literal -1 binary64))) (fma.f64 y z x)))
35.6%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (* (/ 1 (+ (* y z) x)) (- x (* y z))) #s(literal 1 binary64)) (fma.f64 y z x)))
10.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (* (/ 1 (+ (* y z) x)) (- x (* y z))) #s(literal -1 binary64)) (fma.f64 y z x)))
92.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))))
35.6%
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
9.8%
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
35.6%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (* y (* y y)) (neg (* z (* z z)))) (* x (* x x))) (+ (* y (* z (* y z))) (- (* x x) (* (* y (neg z)) x)))) (*.f64 z (-.f64 (/.f64 x z) y))))
31.5%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (* y (* y y)) (neg (* z (* z z)))) (* x (* x x))) (+ (* y (* z (* y z))) (- (* x x) (* (* y (neg z)) x)))) (*.f64 y (-.f64 (/.f64 x y) z))))
39.5%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (* y (* y y)) (neg (* z (* z z)))) (* x (* x x))) (+ (* y (* z (* y z))) (- (* x x) (* (* y (neg z)) x)))) (*.f64 x (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)))))
Compiler

Compiled 3 963 to 1 187 computations (70% saved)

regimes188.0ms (1.7%)

Memory
33.4MiB live, 310.0MiB allocated
Counts
112 → 1
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.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 (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (* (/ 1 (+ (* y z) x)) (- x (* y z))) #s(literal -1 binary64)) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (* (/ 1 (+ (* y z) x)) (- x (* y z))) #s(literal 1 binary64)) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (-.f64 (/.f64 x y) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (-.f64 (/.f64 x z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (* y (* y y)) (neg (* z (* z z)))) (* x (* x x))) (+ (* y (* z (* y z))) (- (* x x) (* (* y (neg z)) x)))) (*.f64 y (-.f64 (/.f64 x y) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (* y (* y y)) (neg (* z (* z z)))) (* x (* x x))) (+ (* y (* z (* y z))) (- (* x x) (* (* y (neg z)) x)))) (*.f64 z (-.f64 (/.f64 x z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y)))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (neg (* z (sin y))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* (sin y) z))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 z (*.f64 y y)) #s(literal -1/6 binary64) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (* y (* y y)) (neg (* z (* z z)))) (* x (* x x))) (+ (* y (* z (* y z))) (- (* x x) (* (* y (neg z)) x)))) (*.f64 x (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(literal -1 binary64) (*.f64 z y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (/.f64 (*.f64 z (neg.f64 z)) (+.f64 #s(literal 0 binary64) z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 y (fma.f64 y (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 x #s(literal 1/2 binary64))) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (* (/ 1 (+ (* y z) x)) (- x (* y z))) (fma.f64 #s(literal 2 binary64) (/.f64 x (*.f64 z y)) #s(literal -1 binary64))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 x x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 #s(approx (/ 1 (+ (* y z) x)) (/.f64 #s(literal 1 binary64) x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 #s(approx (/ 1 (+ (* y z) x)) (/.f64 #s(literal 1 binary64) (*.f64 z y))) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (/.f64 (neg.f64 (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 (*.f64 z z) (*.f64 y (neg.f64 y)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 #s(approx (+ (* y z) x) (*.f64 z y)) (-.f64 x (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (fma.f64 x x (*.f64 (neg.f64 (*.f64 z (*.f64 y z))) y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 (/.f64 x (neg.f64 (*.f64 z (*.f64 y y)))) (/.f64 #s(literal -1 binary64) y)) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 (/.f64 x (*.f64 y (*.f64 z z))) (/.f64 #s(literal 1 binary64) z)) (neg.f64 y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* y z) x) (*.f64 y (+.f64 z (/.f64 x y)))) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
(-.f64 (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (fma.f64 y (-.f64 (fma.f64 y (*.f64 z (neg.f64 z)) (*.f64 z x)) (*.f64 z x)) (*.f64 x x))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (/.f64 (-.f64 x (*.f64 y z)) (fma.f64 y z x)) x (/.f64 (*.f64 (-.f64 x (*.f64 y z)) (*.f64 y z)) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) (-.f64 (*.f64 y z) x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
(-.f64 #s(approx (* x (cos y)) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal 1/24 binary64))) x)) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 #s(approx (/ 1 (+ (* y z) x)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (*.f64 y (*.f64 z z)))) y)) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (neg.f64 z)) (*.f64 z z) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x (fma.f64 y z x) (*.f64 y (*.f64 y (*.f64 z z)))) (-.f64 x (*.f64 y z))) (fma.f64 y (*.f64 z (*.f64 y z)) #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (*.f64 y (*.f64 z (*.f64 y z))))) (*.f64 (fma.f64 y z x) (fma.f64 y z x))))
(-.f64 (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) (/.f64 (-.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (fma.f64 x x (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 y (neg.f64 z)))))))
(-.f64 #s(approx (* x (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))) (*.f64 x #s(literal -1/2 binary64))) x)) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (neg.f64 z)) (*.f64 z z) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 (*.f64 z z) (neg.f64 (fma.f64 y y (/.f64 (+.f64 (neg.f64 (fma.f64 y x (/.f64 (*.f64 x x) z))) (*.f64 y x)) z))))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (-.f64 x (*.f64 y z))) (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (/.f64 (-.f64 x (*.f64 y z)) (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z)))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 y (*.f64 z z))))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z)))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 y (*.f64 z z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (/.f64 (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))) (*.f64 (-.f64 (*.f64 y z) x) (fma.f64 y z x))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (fma.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 y z))) (fma.f64 y z x)) (/.f64 (*.f64 x (fma.f64 y z x)) x) (*.f64 (*.f64 y z) (-.f64 x (*.f64 y z)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (/.f64 (-.f64 x (*.f64 y z)) (fma.f64 y z x)) (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z)))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 y (*.f64 z z))))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* (sin y) z)))) (*.f64 x (cos.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* (sin y) z))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))))
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 y (fma.f64 z (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z))))
(fma.f64 #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) (neg.f64 z) (*.f64 x (cos.f64 y)))
(fma.f64 #s(approx (sin y) (fma.f64 #s(approx (+ (* y (* y (+ (* (* y y) -1/5040) 1/120))) -1/6) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (neg.f64 z) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) z))))
(fma.f64 #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (neg.f64 z) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* (sin y) z)))) (*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))))
#s(approx (/ (+ (* (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg z)) z) (* x (* x (+ (* 1/2 (cos (+ y y))) 1/2)))) (+ (* x (cos y)) (* z (sin y)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
#s(approx (/ (+ (* (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg z)) z) (* x (* x (+ (* 1/2 (cos (+ y y))) 1/2)))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y)))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (/.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))
#s(approx (/ (+ (* (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg z)) z) (* x (* x (+ (* 1/2 (cos (+ y y))) 1/2)))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (- (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (pow (cos y) 2))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))))
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y)))
(pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
#s(approx (/ (+ (* (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg z)) z) (* x (* x (+ (* 1/2 (cos (+ y y))) 1/2)))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (- (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (pow (cos y) 2))) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* (sin y) z))) (/.f64 (fma.f64 x (/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z))))
(/.f64 (fma.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 z)) z (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(*.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.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)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
#s(approx (/ (+ (* (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg z)) z) (* x (* x (+ (* 1/2 (cos (+ y y))) 1/2)))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (neg.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 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))))
(/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal -1/4 binary64)) (neg.f64 z)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) z (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 (fma.f64 (/.f64 (*.f64 z (neg.f64 z)) (+.f64 (cos.f64 (+.f64 y y)) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 z (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))))
#s(approx (/ (+ (* (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg z)) z) (* x (* x (+ (* 1/2 (cos (+ y y))) 1/2)))) (+ (* x (cos y)) (* z (sin y)))) (-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (-.f64 (/.f64 (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y)))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 z (-.f64 (*.f64 (*.f64 x (cos.f64 y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 (neg.f64 x) (fma.f64 z (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (cos.f64 y)))))
(fma.f64 x (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(fma.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) (*.f64 #s(literal 0 binary64) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
Outputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Calls

4 calls:

67.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
49.0ms
z
33.0ms
y
32.0ms
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)

regimes103.0ms (0.9%)

Memory
-16.2MiB live, 260.5MiB allocated
Counts
78 → 3
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.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 (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (* (/ 1 (+ (* y z) x)) (- x (* y z))) #s(literal -1 binary64)) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (* (/ 1 (+ (* y z) x)) (- x (* y z))) #s(literal 1 binary64)) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (-.f64 (/.f64 x y) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (-.f64 (/.f64 x z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (* y (* y y)) (neg (* z (* z z)))) (* x (* x x))) (+ (* y (* z (* y z))) (- (* x x) (* (* y (neg z)) x)))) (*.f64 y (-.f64 (/.f64 x y) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (* y (* y y)) (neg (* z (* z z)))) (* x (* x x))) (+ (* y (* z (* y z))) (- (* x x) (* (* y (neg z)) x)))) (*.f64 z (-.f64 (/.f64 x z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y)))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (neg (* z (sin y))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* (sin y) z))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 z (*.f64 y y)) #s(literal -1/6 binary64) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (* y (* y y)) (neg (* z (* z z)))) (* x (* x x))) (+ (* y (* z (* y z))) (- (* x x) (* (* y (neg z)) x)))) (*.f64 x (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(literal -1 binary64) (*.f64 z y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (/.f64 (*.f64 z (neg.f64 z)) (+.f64 #s(literal 0 binary64) z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 y (fma.f64 y (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 x #s(literal 1/2 binary64))) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (* (/ 1 (+ (* y z) x)) (- x (* y z))) (fma.f64 #s(literal 2 binary64) (/.f64 x (*.f64 z y)) #s(literal -1 binary64))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 x x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 #s(approx (/ 1 (+ (* y z) x)) (/.f64 #s(literal 1 binary64) x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 #s(approx (/ 1 (+ (* y z) x)) (/.f64 #s(literal 1 binary64) (*.f64 z y))) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (/.f64 (neg.f64 (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 (*.f64 z z) (*.f64 y (neg.f64 y)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 #s(approx (+ (* y z) x) (*.f64 z y)) (-.f64 x (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (fma.f64 x x (*.f64 (neg.f64 (*.f64 z (*.f64 y z))) y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 (/.f64 x (neg.f64 (*.f64 z (*.f64 y y)))) (/.f64 #s(literal -1 binary64) y)) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 (/.f64 x (*.f64 y (*.f64 z z))) (/.f64 #s(literal 1 binary64) z)) (neg.f64 y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* y z) x) (*.f64 y (+.f64 z (/.f64 x y)))) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
(-.f64 (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (fma.f64 y (-.f64 (fma.f64 y (*.f64 z (neg.f64 z)) (*.f64 z x)) (*.f64 z x)) (*.f64 x x))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (/.f64 (-.f64 x (*.f64 y z)) (fma.f64 y z x)) x (/.f64 (*.f64 (-.f64 x (*.f64 y z)) (*.f64 y z)) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) (-.f64 (*.f64 y z) x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
(-.f64 #s(approx (* x (cos y)) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal 1/24 binary64))) x)) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 #s(approx (/ 1 (+ (* y z) x)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (*.f64 y (*.f64 z z)))) y)) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (neg.f64 z)) (*.f64 z z) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x (fma.f64 y z x) (*.f64 y (*.f64 y (*.f64 z z)))) (-.f64 x (*.f64 y z))) (fma.f64 y (*.f64 z (*.f64 y z)) #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (*.f64 y (*.f64 z (*.f64 y z))))) (*.f64 (fma.f64 y z x) (fma.f64 y z x))))
(-.f64 (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) (/.f64 (-.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (fma.f64 x x (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 y (neg.f64 z)))))))
(-.f64 #s(approx (* x (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))) (*.f64 x #s(literal -1/2 binary64))) x)) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (neg.f64 z)) (*.f64 z z) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 (*.f64 z z) (neg.f64 (fma.f64 y y (/.f64 (+.f64 (neg.f64 (fma.f64 y x (/.f64 (*.f64 x x) z))) (*.f64 y x)) z))))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (-.f64 x (*.f64 y z))) (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (/.f64 (-.f64 x (*.f64 y z)) (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z)))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 y (*.f64 z z))))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z)))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 y (*.f64 z z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (/.f64 (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))) (*.f64 (-.f64 (*.f64 y z) x) (fma.f64 y z x))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (fma.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 y z))) (fma.f64 y z x)) (/.f64 (*.f64 x (fma.f64 y z x)) x) (*.f64 (*.f64 y z) (-.f64 x (*.f64 y z)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (/.f64 (-.f64 x (*.f64 y z)) (fma.f64 y z x)) (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z)))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 y (*.f64 z z))))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* (sin y) z)))) (*.f64 x (cos.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* (sin y) z))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))))
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 y (fma.f64 z (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z))))
(fma.f64 #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) (neg.f64 z) (*.f64 x (cos.f64 y)))
(fma.f64 #s(approx (sin y) (fma.f64 #s(approx (+ (* y (* y (+ (* (* y y) -1/5040) 1/120))) -1/6) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (neg.f64 z) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) z))))
(fma.f64 #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (neg.f64 z) (*.f64 x (cos.f64 y)))
Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
Calls

4 calls:

25.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
25.0ms
x
23.0ms
y
22.0ms
z
Results
AccuracySegmentsBranch
89.0%3x
74.6%2y
84.4%3z
74.9%3(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes25.0ms (0.2%)

Memory
-4.0MiB live, 72.7MiB allocated
Counts
70 → 3
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.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 (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (* (/ 1 (+ (* y z) x)) (- x (* y z))) #s(literal -1 binary64)) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (* (/ 1 (+ (* y z) x)) (- x (* y z))) #s(literal 1 binary64)) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (-.f64 (/.f64 x y) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (-.f64 (/.f64 x z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (* y (* y y)) (neg (* z (* z z)))) (* x (* x x))) (+ (* y (* z (* y z))) (- (* x x) (* (* y (neg z)) x)))) (*.f64 y (-.f64 (/.f64 x y) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (* y (* y y)) (neg (* z (* z z)))) (* x (* x x))) (+ (* y (* z (* y z))) (- (* x x) (* (* y (neg z)) x)))) (*.f64 z (-.f64 (/.f64 x z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y)))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (neg (* z (sin y))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* (sin y) z))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 z (*.f64 y y)) #s(literal -1/6 binary64) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (* y (* y y)) (neg (* z (* z z)))) (* x (* x x))) (+ (* y (* z (* y z))) (- (* x x) (* (* y (neg z)) x)))) (*.f64 x (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(literal -1 binary64) (*.f64 z y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (/.f64 (*.f64 z (neg.f64 z)) (+.f64 #s(literal 0 binary64) z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 y (fma.f64 y (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 x #s(literal 1/2 binary64))) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (* (/ 1 (+ (* y z) x)) (- x (* y z))) (fma.f64 #s(literal 2 binary64) (/.f64 x (*.f64 z y)) #s(literal -1 binary64))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 x x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 #s(approx (/ 1 (+ (* y z) x)) (/.f64 #s(literal 1 binary64) x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 #s(approx (/ 1 (+ (* y z) x)) (/.f64 #s(literal 1 binary64) (*.f64 z y))) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (/.f64 (neg.f64 (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 (*.f64 z z) (*.f64 y (neg.f64 y)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 #s(approx (+ (* y z) x) (*.f64 z y)) (-.f64 x (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (fma.f64 x x (*.f64 (neg.f64 (*.f64 z (*.f64 y z))) y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 (/.f64 x (neg.f64 (*.f64 z (*.f64 y y)))) (/.f64 #s(literal -1 binary64) y)) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 (/.f64 x (*.f64 y (*.f64 z z))) (/.f64 #s(literal 1 binary64) z)) (neg.f64 y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* y z) x) (*.f64 y (+.f64 z (/.f64 x y)))) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
(-.f64 (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (fma.f64 y (-.f64 (fma.f64 y (*.f64 z (neg.f64 z)) (*.f64 z x)) (*.f64 z x)) (*.f64 x x))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (/.f64 (-.f64 x (*.f64 y z)) (fma.f64 y z x)) x (/.f64 (*.f64 (-.f64 x (*.f64 y z)) (*.f64 y z)) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) (-.f64 (*.f64 y z) x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
(-.f64 #s(approx (* x (cos y)) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal 1/24 binary64))) x)) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 #s(approx (/ 1 (+ (* y z) x)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (*.f64 y (*.f64 z z)))) y)) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (neg.f64 z)) (*.f64 z z) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x (fma.f64 y z x) (*.f64 y (*.f64 y (*.f64 z z)))) (-.f64 x (*.f64 y z))) (fma.f64 y (*.f64 z (*.f64 y z)) #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (*.f64 y (*.f64 z (*.f64 y z))))) (*.f64 (fma.f64 y z x) (fma.f64 y z x))))
(-.f64 (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) (/.f64 (-.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (fma.f64 x x (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 y (neg.f64 z)))))))
(-.f64 #s(approx (* x (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))) (*.f64 x #s(literal -1/2 binary64))) x)) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (neg.f64 z)) (*.f64 z z) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 (*.f64 z z) (neg.f64 (fma.f64 y y (/.f64 (+.f64 (neg.f64 (fma.f64 y x (/.f64 (*.f64 x x) z))) (*.f64 y x)) z))))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (-.f64 x (*.f64 y z))) (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (/.f64 (-.f64 x (*.f64 y z)) (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z)))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 y (*.f64 z z))))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z)))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 y (*.f64 z z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (/.f64 (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))) (*.f64 (-.f64 (*.f64 y z) x) (fma.f64 y z x))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (fma.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 y z))) (fma.f64 y z x)) (/.f64 (*.f64 x (fma.f64 y z x)) x) (*.f64 (*.f64 y z) (-.f64 x (*.f64 y z)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (/.f64 (-.f64 x (*.f64 y z)) (fma.f64 y z x)) (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z)))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 y (*.f64 z z))))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* (sin y) z)))) (*.f64 x (cos.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y)))
Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
Calls

1 calls:

20.0ms
x
Results
AccuracySegmentsBranch
89.0%3x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes75.0ms (0.7%)

Memory
0.1MiB live, 132.8MiB allocated
Counts
68 → 3
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.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 (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (* (/ 1 (+ (* y z) x)) (- x (* y z))) #s(literal -1 binary64)) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (* (/ 1 (+ (* y z) x)) (- x (* y z))) #s(literal 1 binary64)) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (-.f64 (/.f64 x y) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (-.f64 (/.f64 x z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (* y (* y y)) (neg (* z (* z z)))) (* x (* x x))) (+ (* y (* z (* y z))) (- (* x x) (* (* y (neg z)) x)))) (*.f64 y (-.f64 (/.f64 x y) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (* y (* y y)) (neg (* z (* z z)))) (* x (* x x))) (+ (* y (* z (* y z))) (- (* x x) (* (* y (neg z)) x)))) (*.f64 z (-.f64 (/.f64 x z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y)))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (neg (* z (sin y))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* (sin y) z))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 z (*.f64 y y)) #s(literal -1/6 binary64) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (* y (* y y)) (neg (* z (* z z)))) (* x (* x x))) (+ (* y (* z (* y z))) (- (* x x) (* (* y (neg z)) x)))) (*.f64 x (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(literal -1 binary64) (*.f64 z y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (/.f64 (*.f64 z (neg.f64 z)) (+.f64 #s(literal 0 binary64) z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 y (fma.f64 y (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 x #s(literal 1/2 binary64))) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (* (/ 1 (+ (* y z) x)) (- x (* y z))) (fma.f64 #s(literal 2 binary64) (/.f64 x (*.f64 z y)) #s(literal -1 binary64))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 x x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 #s(approx (/ 1 (+ (* y z) x)) (/.f64 #s(literal 1 binary64) x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 #s(approx (/ 1 (+ (* y z) x)) (/.f64 #s(literal 1 binary64) (*.f64 z y))) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (/.f64 (neg.f64 (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 (*.f64 z z) (*.f64 y (neg.f64 y)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 #s(approx (+ (* y z) x) (*.f64 z y)) (-.f64 x (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (fma.f64 x x (*.f64 (neg.f64 (*.f64 z (*.f64 y z))) y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 (/.f64 x (neg.f64 (*.f64 z (*.f64 y y)))) (/.f64 #s(literal -1 binary64) y)) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 (/.f64 x (*.f64 y (*.f64 z z))) (/.f64 #s(literal 1 binary64) z)) (neg.f64 y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* y z) x) (*.f64 y (+.f64 z (/.f64 x y)))) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
(-.f64 (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (fma.f64 y (-.f64 (fma.f64 y (*.f64 z (neg.f64 z)) (*.f64 z x)) (*.f64 z x)) (*.f64 x x))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (/.f64 (-.f64 x (*.f64 y z)) (fma.f64 y z x)) x (/.f64 (*.f64 (-.f64 x (*.f64 y z)) (*.f64 y z)) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) (-.f64 (*.f64 y z) x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
(-.f64 #s(approx (* x (cos y)) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal 1/24 binary64))) x)) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 #s(approx (/ 1 (+ (* y z) x)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (*.f64 y (*.f64 z z)))) y)) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (neg.f64 z)) (*.f64 z z) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x (fma.f64 y z x) (*.f64 y (*.f64 y (*.f64 z z)))) (-.f64 x (*.f64 y z))) (fma.f64 y (*.f64 z (*.f64 y z)) #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (*.f64 y (*.f64 z (*.f64 y z))))) (*.f64 (fma.f64 y z x) (fma.f64 y z x))))
(-.f64 (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) (/.f64 (-.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (fma.f64 x x (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 y (neg.f64 z)))))))
(-.f64 #s(approx (* x (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))) (*.f64 x #s(literal -1/2 binary64))) x)) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (neg.f64 z)) (*.f64 z z) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 (*.f64 z z) (neg.f64 (fma.f64 y y (/.f64 (+.f64 (neg.f64 (fma.f64 y x (/.f64 (*.f64 x x) z))) (*.f64 y x)) z))))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (-.f64 x (*.f64 y z))) (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (/.f64 (-.f64 x (*.f64 y z)) (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z)))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 y (*.f64 z z))))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z)))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 y (*.f64 z z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (/.f64 (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))) (*.f64 (-.f64 (*.f64 y z) x) (fma.f64 y z x))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (fma.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 y z))) (fma.f64 y z x)) (/.f64 (*.f64 x (fma.f64 y z x)) x) (*.f64 (*.f64 y z) (-.f64 x (*.f64 y z)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (/.f64 (-.f64 x (*.f64 y z)) (fma.f64 y z x)) (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z)))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 y (*.f64 z z))))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* (sin y) z)))) (*.f64 x (cos.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
Calls

2 calls:

49.0ms
x
22.0ms
z
Results
AccuracySegmentsBranch
79.0%3z
79.9%3x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes85.0ms (0.8%)

Memory
0.2MiB live, 159.2MiB allocated
Counts
67 → 3
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.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 (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (* (/ 1 (+ (* y z) x)) (- x (* y z))) #s(literal -1 binary64)) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (* (/ 1 (+ (* y z) x)) (- x (* y z))) #s(literal 1 binary64)) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (-.f64 (/.f64 x y) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (-.f64 (/.f64 x z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (* y (* y y)) (neg (* z (* z z)))) (* x (* x x))) (+ (* y (* z (* y z))) (- (* x x) (* (* y (neg z)) x)))) (*.f64 y (-.f64 (/.f64 x y) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (* y (* y y)) (neg (* z (* z z)))) (* x (* x x))) (+ (* y (* z (* y z))) (- (* x x) (* (* y (neg z)) x)))) (*.f64 z (-.f64 (/.f64 x z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y)))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (neg (* z (sin y))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* (sin y) z))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 z (*.f64 y y)) #s(literal -1/6 binary64) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (* y (* y y)) (neg (* z (* z z)))) (* x (* x x))) (+ (* y (* z (* y z))) (- (* x x) (* (* y (neg z)) x)))) (*.f64 x (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(literal -1 binary64) (*.f64 z y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (/.f64 (*.f64 z (neg.f64 z)) (+.f64 #s(literal 0 binary64) z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 y (fma.f64 y (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 x #s(literal 1/2 binary64))) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (* (/ 1 (+ (* y z) x)) (- x (* y z))) (fma.f64 #s(literal 2 binary64) (/.f64 x (*.f64 z y)) #s(literal -1 binary64))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 x x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 #s(approx (/ 1 (+ (* y z) x)) (/.f64 #s(literal 1 binary64) x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 #s(approx (/ 1 (+ (* y z) x)) (/.f64 #s(literal 1 binary64) (*.f64 z y))) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (/.f64 (neg.f64 (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 (*.f64 z z) (*.f64 y (neg.f64 y)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 #s(approx (+ (* y z) x) (*.f64 z y)) (-.f64 x (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (fma.f64 x x (*.f64 (neg.f64 (*.f64 z (*.f64 y z))) y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 (/.f64 x (neg.f64 (*.f64 z (*.f64 y y)))) (/.f64 #s(literal -1 binary64) y)) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 (/.f64 x (*.f64 y (*.f64 z z))) (/.f64 #s(literal 1 binary64) z)) (neg.f64 y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* y z) x) (*.f64 y (+.f64 z (/.f64 x y)))) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
(-.f64 (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (fma.f64 y (-.f64 (fma.f64 y (*.f64 z (neg.f64 z)) (*.f64 z x)) (*.f64 z x)) (*.f64 x x))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (/.f64 (-.f64 x (*.f64 y z)) (fma.f64 y z x)) x (/.f64 (*.f64 (-.f64 x (*.f64 y z)) (*.f64 y z)) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) (-.f64 (*.f64 y z) x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
(-.f64 #s(approx (* x (cos y)) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal 1/24 binary64))) x)) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 #s(approx (/ 1 (+ (* y z) x)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (*.f64 y (*.f64 z z)))) y)) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (neg.f64 z)) (*.f64 z z) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x (fma.f64 y z x) (*.f64 y (*.f64 y (*.f64 z z)))) (-.f64 x (*.f64 y z))) (fma.f64 y (*.f64 z (*.f64 y z)) #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (*.f64 y (*.f64 z (*.f64 y z))))) (*.f64 (fma.f64 y z x) (fma.f64 y z x))))
(-.f64 (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) (/.f64 (-.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (fma.f64 x x (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 y (neg.f64 z)))))))
(-.f64 #s(approx (* x (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))) (*.f64 x #s(literal -1/2 binary64))) x)) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (neg.f64 z)) (*.f64 z z) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 (*.f64 z z) (neg.f64 (fma.f64 y y (/.f64 (+.f64 (neg.f64 (fma.f64 y x (/.f64 (*.f64 x x) z))) (*.f64 y x)) z))))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (-.f64 x (*.f64 y z))) (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (/.f64 (-.f64 x (*.f64 y z)) (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z)))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 y (*.f64 z z))))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z)))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 y (*.f64 z z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (/.f64 (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))) (*.f64 (-.f64 (*.f64 y z) x) (fma.f64 y z x))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (fma.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 y z))) (fma.f64 y z x)) (/.f64 (*.f64 x (fma.f64 y z x)) x) (*.f64 (*.f64 y z) (-.f64 x (*.f64 y z)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (/.f64 (-.f64 x (*.f64 y z)) (fma.f64 y z x)) (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z)))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 y (*.f64 z z))))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* (sin y) z)))) (*.f64 x (cos.f64 y)))
Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
Calls

4 calls:

21.0ms
z
20.0ms
x
20.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
20.0ms
y
Results
AccuracySegmentsBranch
66.2%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
72.8%3y
68.0%2z
66.2%1x
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes91.0ms (0.8%)

Memory
5.4MiB live, 124.7MiB allocated
Counts
64 → 1
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.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 (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (* (/ 1 (+ (* y z) x)) (- x (* y z))) #s(literal -1 binary64)) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (* (/ 1 (+ (* y z) x)) (- x (* y z))) #s(literal 1 binary64)) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (-.f64 (/.f64 x y) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (-.f64 (/.f64 x z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (* y (* y y)) (neg (* z (* z z)))) (* x (* x x))) (+ (* y (* z (* y z))) (- (* x x) (* (* y (neg z)) x)))) (*.f64 y (-.f64 (/.f64 x y) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (* y (* y y)) (neg (* z (* z z)))) (* x (* x x))) (+ (* y (* z (* y z))) (- (* x x) (* (* y (neg z)) x)))) (*.f64 z (-.f64 (/.f64 x z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y)))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (neg (* z (sin y))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* (sin y) z))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 z (*.f64 y y)) #s(literal -1/6 binary64) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (* y (* y y)) (neg (* z (* z z)))) (* x (* x x))) (+ (* y (* z (* y z))) (- (* x x) (* (* y (neg z)) x)))) (*.f64 x (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(literal -1 binary64) (*.f64 z y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (/.f64 (*.f64 z (neg.f64 z)) (+.f64 #s(literal 0 binary64) z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 y (fma.f64 y (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 x #s(literal 1/2 binary64))) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (* (/ 1 (+ (* y z) x)) (- x (* y z))) (fma.f64 #s(literal 2 binary64) (/.f64 x (*.f64 z y)) #s(literal -1 binary64))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 x x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 #s(approx (/ 1 (+ (* y z) x)) (/.f64 #s(literal 1 binary64) x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 #s(approx (/ 1 (+ (* y z) x)) (/.f64 #s(literal 1 binary64) (*.f64 z y))) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (/.f64 (neg.f64 (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 (*.f64 z z) (*.f64 y (neg.f64 y)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 #s(approx (+ (* y z) x) (*.f64 z y)) (-.f64 x (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (fma.f64 x x (*.f64 (neg.f64 (*.f64 z (*.f64 y z))) y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 (/.f64 x (neg.f64 (*.f64 z (*.f64 y y)))) (/.f64 #s(literal -1 binary64) y)) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 (/.f64 x (*.f64 y (*.f64 z z))) (/.f64 #s(literal 1 binary64) z)) (neg.f64 y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* y z) x) (*.f64 y (+.f64 z (/.f64 x y)))) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
(-.f64 (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (fma.f64 y (-.f64 (fma.f64 y (*.f64 z (neg.f64 z)) (*.f64 z x)) (*.f64 z x)) (*.f64 x x))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (/.f64 (-.f64 x (*.f64 y z)) (fma.f64 y z x)) x (/.f64 (*.f64 (-.f64 x (*.f64 y z)) (*.f64 y z)) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) (-.f64 (*.f64 y z) x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
(-.f64 #s(approx (* x (cos y)) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal 1/24 binary64))) x)) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 #s(approx (/ 1 (+ (* y z) x)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (*.f64 y (*.f64 z z)))) y)) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (neg.f64 z)) (*.f64 z z) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x (fma.f64 y z x) (*.f64 y (*.f64 y (*.f64 z z)))) (-.f64 x (*.f64 y z))) (fma.f64 y (*.f64 z (*.f64 y z)) #s(approx (- (* x x) (* (* y (neg z)) x)) (*.f64 x x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (*.f64 y (*.f64 z (*.f64 y z))))) (*.f64 (fma.f64 y z x) (fma.f64 y z x))))
(-.f64 (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) (/.f64 (-.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (fma.f64 x x (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 y (neg.f64 z)))))))
(-.f64 #s(approx (* x (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))) (*.f64 x #s(literal -1/2 binary64))) x)) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (neg.f64 z)) (*.f64 z z) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 (*.f64 z z) (neg.f64 (fma.f64 y y (/.f64 (+.f64 (neg.f64 (fma.f64 y x (/.f64 (*.f64 x x) z))) (*.f64 y x)) z))))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (-.f64 x (*.f64 y z))) (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (/.f64 (-.f64 x (*.f64 y z)) (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z)))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 y (*.f64 z z))))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z)))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 y (*.f64 z z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (/.f64 (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))) (*.f64 (-.f64 (*.f64 y z) x) (fma.f64 y z x))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (fma.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 y z))) (fma.f64 y z x)) (/.f64 (*.f64 x (fma.f64 y z x)) x) (*.f64 (*.f64 y z) (-.f64 x (*.f64 y z)))))))
Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
Calls

4 calls:

31.0ms
y
20.0ms
x
19.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
17.0ms
z
Results
AccuracySegmentsBranch
42.2%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
42.2%1x
42.2%1z
42.2%1y
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes64.0ms (0.6%)

Memory
-23.1MiB live, 15.3MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.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:

59.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
2.0ms
y
2.0ms
x
2.0ms
z
Results
AccuracySegmentsBranch
42.2%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
42.2%1z
42.2%1x
42.2%1y
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0.1%)

Memory
11.7MiB live, 11.7MiB 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))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
Calls

4 calls:

1.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
1.0ms
y
1.0ms
x
1.0ms
z
Results
AccuracySegmentsBranch
9.8%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
9.8%1z
9.8%1x
9.8%1y
Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch35.0ms (0.3%)

Memory
0.6MiB live, 39.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
1.112220538739619e-40
3.882990041352272e-40
17.0ms
-0.004970378695418642
-1.1447294570741692e-6
Samples
19.0ms208×0valid
Compiler

Compiled 301 to 209 computations (30.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-cos: 6.0ms (42.1% of total)
ival-sin: 4.0ms (28.1% of total)
ival-mult: 3.0ms (21% of total)
ival-sub: 1.0ms (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
0.0ms
1.112220538739619e-40
3.882990041352272e-40
1.0ms
-0.004970378695418642
-1.1447294570741692e-6
Compiler

Compiled 301 to 209 computations (30.6% saved)

bsearch33.0ms (0.3%)

Memory
-0.7MiB live, 41.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
6.0ms
1.112220538739619e-40
3.882990041352272e-40
25.0ms
-1.0197538206147275e-39
-4.1197376042130854e-54
Samples
23.0ms208×0valid
Compiler

Compiled 300 to 209 computations (30.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-cos: 9.0ms (49.4% of total)
ival-sin: 5.0ms (27.5% of total)
ival-mult: 3.0ms (16.5% of total)
ival-sub: 1.0ms (5.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch37.0ms (0.3%)

Memory
15.0MiB live, 50.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
1.341242948192747e-10
5.7748251207461906e-8
21.0ms
-0.031161065266922753
-1.9265496573811252e-17
Samples
18.0ms288×0valid
Compiler

Compiled 357 to 230 computations (35.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 4.0ms (36.6% of total)
ival-cos: 3.0ms (27.5% of total)
ival-sin: 3.0ms (27.5% of total)
ival-sub: 1.0ms (9.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Memory
12.4MiB live, 12.4MiB allocated
Algorithm
egg-herbie
Rules
20×*-commutative_binary64
18×+-commutative_binary64
18×sub-neg_binary64
14×cancel-sign-sub-inv_binary64
12×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051254
176254
299254
3108254
4112254
5113254
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -5072854620270127/1152921504606846976 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 x #s(literal 2329393222116151/6129982163463555433433388108601236734474956488734408704 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
(if (<=.f64 x #s(literal -5072854620270127/1152921504606846976 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 x #s(literal 2329393222116151/6129982163463555433433388108601236734474956488734408704 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 x (cos.f64 y)))))
(if (<=.f64 x #s(literal -7953184266809439/26959946667150639794667015087019630673637144422540572481103610249216 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 x #s(literal 5884782876925013/24519928653854221733733552434404946937899825954937634816 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y)))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
(if (<=.f64 y #s(literal -1152921504606847/1152921504606846976 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 8613596464754233/151115727451828646838272 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 x (cos.f64 y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
Outputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -5072854620270127/1152921504606846976 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 x #s(literal 2329393222116151/6129982163463555433433388108601236734474956488734408704 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
(if (<=.f64 x #s(literal -5072854620270127/1152921504606846976 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 x #s(literal 2329393222116151/6129982163463555433433388108601236734474956488734408704 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 x (cos.f64 y)))))
(if (<=.f64 x #s(literal -7953184266809439/26959946667150639794667015087019630673637144422540572481103610249216 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 x #s(literal 5884782876925013/24519928653854221733733552434404946937899825954937634816 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y)))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
(if (<=.f64 x #s(literal -7953184266809439/26959946667150639794667015087019630673637144422540572481103610249216 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 x #s(literal 5884782876925013/24519928653854221733733552434404946937899825954937634816 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
(if (<=.f64 y #s(literal -1152921504606847/1152921504606846976 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 8613596464754233/151115727451828646838272 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 x (cos.f64 y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 y z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))

soundness938.0ms (8.6%)

Memory
-4.2MiB live, 635.6MiB allocated
Rules
12 044×lower-fma.f64
12 044×lower-fma.f32
10 986×lower-fma.f64
10 986×lower-fma.f32
9 634×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041206
073173
1262153
21985153
09438153
097624
1292619
2837613
32075607
43601607
56258607
08452586
0819
01319
13319
221019
3196419
0837919
04935749
116555528
259065460
083385167
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 264 to 124 computations (53% saved)

preprocess300.0ms (2.7%)

Memory
-30.6MiB live, 129.2MiB allocated
Compiler

Compiled 288 to 92 computations (68.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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