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

Time bar (total: 10.2s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.5s (14.7%)

Memory
-11.6MiB live, 1 578.5MiB allocated
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-sin: 419.0ms (40.2% of total)
ival-cos: 339.0ms (32.5% of total)
ival-mult: 216.0ms (20.7% of total)
ival-add: 59.0ms (5.7% of total)
ival-true: 6.0ms (0.6% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain134.0ms (1.3%)

Memory
17.6MiB live, 212.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
00-0-(sin.f64 y)
00-0-(*.f64 z (cos.f64 y))
00-0-y
00-0-z
00-0-(*.f64 x (sin.f64 y))
00-0-(cos.f64 y)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
50.0ms512×0valid
Compiler

Compiled 64 to 28 computations (56.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-cos: 12.0ms (37% of total)
ival-sin: 11.0ms (33.9% of total)
ival-mult: 7.0ms (21.6% of total)
ival-add: 2.0ms (6.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess48.0ms (0.5%)

Memory
-5.9MiB live, 32.7MiB allocated
Algorithm
egg-herbie
Rules
180×associate-*r*
160×unsub-neg
142×associate-*l*
136×distribute-lft-neg-in
110×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03587
17981
213981
330781
445881
569381
687181
795781
8103881
9110481
10111881
11112381
12112581
089
0139
1169
0168
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Outputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify4.0ms (0%)

Memory
7.4MiB live, 7.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z (cos.f64 y))
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 x (sin.f64 y))
cost-diff128
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Rules
lower-fma.f64
lower-fma.f32
lower-*.f32
*-commutative
lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
01324
11624
01623
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(*.f64 x (sin.f64 y))
x
(sin.f64 y)
y
(*.f64 z (cos.f64 y))
z
(cos.f64 y)
Outputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(*.f64 x (sin.f64 y))
x
(sin.f64 y)
y
(*.f64 z (cos.f64 y))
z
(cos.f64 y)

localize40.0ms (0.4%)

Memory
-3.1MiB live, 66.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(sin.f64 y)
accuracy0.03125
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
accuracy0.13671875
(*.f64 z (cos.f64 y))
accuracy0.140625
(*.f64 x (sin.f64 y))
Samples
33.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 10.0ms (45.7% of total)
ival-sin: 6.0ms (27.4% of total)
ival-cos: 5.0ms (22.9% of total)
ival-add: 1.0ms (4.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
18.3MiB live, 18.3MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())
#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())
Outputs
#s(alt (* z (cos y)) (taylor 0 x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (sin y) (/ (* z (cos y)) x))) (taylor inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (sin y) (/ (* z (cos y)) x))) (taylor inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (sin y) (/ (* z (cos y)) x))) (taylor inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ z (* x y)) (taylor 0 y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ z (* y (+ x (* -1/2 (* y z))))) (taylor 0 y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) (taylor 0 y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (cos y) (/ (* x (sin y)) z))) (taylor inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (cos y) (/ (* x (sin y)) z))) (taylor inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (cos y) (/ (* x (sin y)) z))) (taylor inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) (taylor -inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) (taylor -inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) (taylor -inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1/6 (* x (pow y 2))))) (taylor 0 y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) (taylor 0 y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) (taylor 0 y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.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 (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ z (* -1/2 (* (pow y 2) z))) (taylor 0 y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) (taylor 0 y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) (taylor 0 y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
Calls

24 calls:

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

simplify281.0ms (2.8%)

Memory
-29.5MiB live, 418.4MiB allocated
Algorithm
egg-herbie
Rules
14 960×lower-fma.f64
14 960×lower-fma.f32
4 098×lower-*.f64
4 098×lower-*.f32
2 688×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096626
1316622
2937612
32505606
44416606
57325606
08407556
Stop Event
iter limit
node limit
Counts
96 → 93
Calls
Call 1
Inputs
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
z
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
Outputs
(* z (cos y))
(*.f64 z (cos.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
z
(+ z (* x y))
(fma.f64 y x z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x y)
(*.f64 y x)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 y (fma.f64 (*.f64 y x) (*.f64 y #s(literal -1/6 binary64)) x))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 x (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))) x))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y)
(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)
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
z
(+ z (* -1/2 (* (pow y 2) z)))
(fma.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64))) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(fma.f64 (*.f64 z y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64))) z)
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))

rewrite385.0ms (3.8%)

Memory
25.8MiB live, 510.0MiB allocated
Rules
11 480×lower-fma.f64
11 480×lower-fma.f32
4 168×lower-*.f32
4 164×lower-*.f64
4 070×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
01319
12919
218519
3183619
0839118
Stop Event
iter limit
node limit
iter limit
Counts
4 → 176
Calls
Call 1
Inputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(*.f64 x (sin.f64 y))
(sin.f64 y)
(*.f64 z (cos.f64 y))
Outputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (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) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(+.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) #s(literal -1 binary64)))
(-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) (neg.f64 z)))
(-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(-.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
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(*.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))))
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 2 binary64))))
(*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))))))
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 9 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 9 binary64))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) (*.f64 (*.f64 x z) (cos.f64 y))) #s(literal 3 binary64))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) #s(literal 3 binary64)))) (fma.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) (-.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) #s(literal 2 binary64)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (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 (cos.f64 y)) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 9 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) (*.f64 (*.f64 x z) (cos.f64 y))) #s(literal 3 binary64))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(exp.f64 (log.f64 (*.f64 x (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sin.f64 y))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64))
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (sin.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (sin.f64 y))))
(sin.f64 y)
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) (neg.f64 z)))
(neg.f64 (*.f64 (cos.f64 y) (neg.f64 z)))
(pow.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 y) (neg.f64 z)))
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 z)))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (cos.f64 y))))

eval32.0ms (0.3%)

Memory
-1.3MiB live, 74.7MiB allocated
Compiler

Compiled 10 057 to 551 computations (94.5% saved)

prune53.0ms (0.5%)

Memory
-1.6MiB live, 116.8MiB allocated
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New25316269
Fresh000
Picked101
Done000
Total25416270
Accuracy
99.9%
Counts
270 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
43.2%
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
53.7%
(fma.f64 (*.f64 x (*.f64 x (sin.f64 y))) (/.f64 (sin.f64 y) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
99.8%
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
26.8%
(fma.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 x)) (*.f64 z (cos.f64 y)))
99.8%
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
52.8%
(fma.f64 x (/.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
43.0%
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
33.4%
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
43.2%
(/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
43.2%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
51.6%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
51.9%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z))
53.0%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
60.7%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
39.8%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))
Compiler

Compiled 898 to 432 computations (51.9% saved)

simplify233.0ms (2.3%)

Memory
6.6MiB live, 205.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff128
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
cost-diff128
(neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
cost-diff128
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
cost-diff20608
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.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-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
cost-diff6400
(-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
cost-diff0
(cos.f64 y)
cost-diff0
(*.f64 z (cos.f64 y))
cost-diff0
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
cost-diff0
(fma.f64 y x z)
cost-diff0
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
cost-diff0
(cos.f64 y)
cost-diff0
(*.f64 z (cos.f64 y))
cost-diff0
(sin.f64 y)
cost-diff0
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
Rules
13 044×lower-fma.f32
13 038×lower-fma.f64
3 270×lower-*.f32
3 252×lower-*.f64
1 296×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036396
063386
1124381
2293381
31033381
43552375
56864375
08105364
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(sin.f64 y)
y
x
(*.f64 z (cos.f64 y))
z
(cos.f64 y)
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
(fma.f64 y x z)
y
x
z
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
z
(cos.f64 y)
y
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
#s(literal 1 binary64)
(-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(*.f64 x (sin.f64 y))
x
(sin.f64 y)
y
(*.f64 z (cos.f64 y))
z
(cos.f64 y)
(-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
(*.f64 x x)
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))
(cos.f64 (+.f64 y y))
(+.f64 y y)
(*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
(*.f64 z z)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 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
(/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(*.f64 x x)
x
(-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(*.f64 x (sin.f64 y))
(sin.f64 y)
(*.f64 z (cos.f64 y))
z
(cos.f64 y)
(neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(*.f64 z z)
Outputs
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(sin.f64 y)
y
x
(*.f64 z (cos.f64 y))
z
(cos.f64 y)
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
(fma.f64 y x z)
y
x
z
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
z
(cos.f64 y)
y
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(/.f64 (fma.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) (fma.f64 x x (*.f64 z z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (-.f64 x z)))) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))
#s(literal 1 binary64)
(-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
x
(sin.f64 y)
y
(*.f64 z (cos.f64 y))
z
(cos.f64 y)
(-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(fma.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) (fma.f64 x x (*.f64 z z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (-.f64 x 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 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 x x)
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(fma.f64 (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)
(*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (fma.f64 z (cos.f64 (+.f64 y y)) z)))
(*.f64 z z)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(/.f64 (fma.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) (fma.f64 x x (*.f64 z z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (-.f64 x z)))) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))
(-.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
(/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(/.f64 (*.f64 x x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))
(*.f64 x x)
x
(-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(sin.f64 y)
(*.f64 z (cos.f64 y))
z
(cos.f64 y)
(neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
(/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(/.f64 (*.f64 z z) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))
(*.f64 z z)

localize275.0ms (2.7%)

Memory
-22.3MiB live, 304.7MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy4.477277319943701
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
accuracy13.824972953337076
(/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
accuracy15.313691703515019
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
accuracy22.460287607079167
(/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
accuracy1.6523334291510292
(-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
accuracy5.9889855359939705
(*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
accuracy15.313691703515019
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
accuracy28.880194455221076
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
accuracy0
(cos.f64 y)
accuracy0.13671875
(*.f64 z (cos.f64 y))
accuracy25.080581844877297
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
accuracy0
(fma.f64 y x z)
accuracy30.084654627096043
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
accuracy0
(cos.f64 y)
accuracy0.00390625
(sin.f64 y)
accuracy0.08203125
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
accuracy0.13671875
(*.f64 z (cos.f64 y))
Samples
69.0ms79×1valid
62.0ms46×2valid
44.0ms131×0valid
Compiler

Compiled 391 to 35 computations (91% saved)

Precisions
Click to see histograms. Total time spent on operations: 110.0ms
ival-cos: 31.0ms (28.3% of total)
ival-mult: 25.0ms (22.8% of total)
ival-sin: 19.0ms (17.3% of total)
adjust: 11.0ms (10% of total)
ival-add: 9.0ms (8.2% of total)
ival-div: 7.0ms (6.4% of total)
ival-sub: 5.0ms (4.6% of total)
ival-neg: 2.0ms (1.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series89.0ms (0.9%)

Memory
-10.0MiB live, 104.1MiB allocated
Counts
16 → 456
Calls
Call 1
Inputs
#s(alt (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) (patch (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) #<representation binary64>) () ())
#s(alt (fma.f64 y x z) (patch (fma.f64 y x z) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (patch (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (patch (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (patch (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) (patch (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) #<representation binary64>) () ())
#s(alt (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))) (patch (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (patch (*.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 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())
Outputs
#s(alt z (taylor 0 y) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) (patch (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
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#s(alt (/ (pow z 2) (- (* x (sin y)) (* z (cos y)))) (taylor -inf y) (#s(alt (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (- (* x (sin y)) (* z (cos y)))) (taylor -inf y) (#s(alt (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow x 2) (* z (cos y)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* x (- (* -1 (/ (* x (pow (sin y) 2)) (* (pow z 3) (pow (cos y) 3)))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 4) (pow (cos y) 4)))) (/ (pow (sin y) 2) (* (pow z 3) (pow (cos y) 3))))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (/ x (sin y)) (taylor inf x) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 (sin y)) (/ (* z (cos y)) (* x (pow (sin y) 2))))) (taylor inf x) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))))) (taylor inf x) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ (/ 1 (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3))))))) (taylor inf x) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (/ x (sin y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4)))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow x 2) z)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* (pow x 3) y) (pow z 2))) (* -1 (/ (pow x 2) z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow x 2) z)) (* y (- (* -1 (* y (+ (* 1/2 (/ (pow x 2) z)) (/ (pow x 4) (pow z 3))))) (/ (pow x 3) (pow z 2))))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow x 2) z)) (* y (- (* y (- (* -1 (* y (+ (* -1/6 (/ (pow x 3) (pow z 2))) (+ (* 1/2 (/ (pow x 3) (pow z 2))) (/ (* x (+ (* 1/2 (/ (pow x 2) z)) (/ (pow x 4) (pow z 3)))) z))))) (+ (* 1/2 (/ (pow x 2) z)) (/ (pow x 4) (pow z 3))))) (/ (pow x 3) (pow z 2))))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (- (* x (sin y)) (* z (cos y)))) (taylor inf y) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (- (* x (sin y)) (* z (cos y)))) (taylor inf y) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (- (* x (sin y)) (* z (cos y)))) (taylor inf y) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (- (* x (sin y)) (* z (cos y)))) (taylor inf y) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (- (* x (sin y)) (* z (cos y)))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (- (* x (sin y)) (* z (cos y)))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (- (* x (sin y)) (* z (cos y)))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (- (* x (sin y)) (* z (cos y)))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (/ x (sin y)) (taylor 0 z) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ x (sin y)) (/ (* z (cos y)) (pow (sin y) 2))) (taylor 0 z) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (/ (* z (pow (cos y) 2)) (* x (pow (sin y) 3))) (* -1 (/ (cos y) (pow (sin y) 2))))) (/ x (sin y))) (taylor 0 z) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 2) (* x (pow (sin y) 3)))))) (* -1 (/ (cos y) (pow (sin y) 2))))) (/ x (sin y))) (taylor 0 z) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow x 2) (* z (cos y)))) (taylor inf z) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (* (pow x 3) (sin y)) (* z (pow (cos y) 2)))) (* -1 (/ (pow x 2) (cos y)))) z) (taylor inf z) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (* (pow x 4) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (* -1 (/ (pow x 2) (cos y)))) (/ (* (pow x 3) (sin y)) (* z (pow (cos y) 2)))) z) (taylor inf z) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (* (pow x 5) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (* -1 (/ (pow x 2) (cos y)))) (+ (/ (* (pow x 3) (sin y)) (* z (pow (cos y) 2))) (/ (* (pow x 4) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3))))) z) (taylor inf z) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow x 2) (* z (cos y)))) (taylor -inf z) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (/ (* (pow x 3) (sin y)) (* z (pow (cos y) 2))) (/ (pow x 2) (cos y))) z)) (taylor -inf z) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 4) (pow (sin y) 2)) (* z (pow (cos y) 3)))) (/ (* (pow x 3) (sin y)) (pow (cos y) 2))) z)) (/ (pow x 2) (cos y))) z)) (taylor -inf z) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 5) (pow (sin y) 3)) (* z (pow (cos y) 4))) (* -1 (/ (* (pow x 4) (pow (sin y) 2)) (pow (cos y) 3)))) z)) (/ (* (pow x 3) (sin y)) (pow (cos y) 2))) z)) (/ (pow x 2) (cos y))) z)) (taylor -inf z) (#s(alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (patch (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ())
Calls

114 calls:

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

simplify369.0ms (3.6%)

Memory
31.8MiB live, 463.9MiB allocated
Algorithm
egg-herbie
Rules
7 068×lower-*.f64
7 068×lower-*.f32
6 858×lower-fma.f64
6 858×lower-fma.f32
3 530×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0111310561
1403210383
086939827
Stop Event
iter limit
node limit
Counts
456 → 444
Calls
Call 1
Inputs
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
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)
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
z
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (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 (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* y (+ x (/ z y)))
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z
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(/ (pow z 2) (* x (sin y)))
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(/ (pow z 2) (* x (sin y)))
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(* -1 (/ (pow x 2) (* z (cos y))))
(* (pow x 2) (- (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y)))))
(* (pow x 2) (- (* x (- (* -1 (/ (* x (pow (sin y) 2)) (* (pow z 3) (pow (cos y) 3)))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y)))))
(* (pow x 2) (- (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 4) (pow (cos y) 4)))) (/ (pow (sin y) 2) (* (pow z 3) (pow (cos y) 3))))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y)))))
(/ x (sin y))
(* x (+ (/ 1 (sin y)) (/ (* z (cos y)) (* x (pow (sin y) 2)))))
(* x (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2))))))
(* x (- (+ (/ 1 (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))))))
(/ x (sin y))
(* -1 (* x (- (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y)))))
(* -1 (* x (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y)))))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4)))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y)))))
(* -1 (/ (pow x 2) z))
(+ (* -1 (/ (* (pow x 3) y) (pow z 2))) (* -1 (/ (pow x 2) z)))
(+ (* -1 (/ (pow x 2) z)) (* y (- (* -1 (* y (+ (* 1/2 (/ (pow x 2) z)) (/ (pow x 4) (pow z 3))))) (/ (pow x 3) (pow z 2)))))
(+ (* -1 (/ (pow x 2) z)) (* y (- (* y (- (* -1 (* y (+ (* -1/6 (/ (pow x 3) (pow z 2))) (+ (* 1/2 (/ (pow x 3) (pow z 2))) (/ (* x (+ (* 1/2 (/ (pow x 2) z)) (/ (pow x 4) (pow z 3)))) z))))) (+ (* 1/2 (/ (pow x 2) z)) (/ (pow x 4) (pow z 3))))) (/ (pow x 3) (pow z 2)))))
(/ (pow x 2) (- (* x (sin y)) (* z (cos y))))
(/ (pow x 2) (- (* x (sin y)) (* z (cos y))))
(/ (pow x 2) (- (* x (sin y)) (* z (cos y))))
(/ (pow x 2) (- (* x (sin y)) (* z (cos y))))
(/ (pow x 2) (- (* x (sin y)) (* z (cos y))))
(/ (pow x 2) (- (* x (sin y)) (* z (cos y))))
(/ (pow x 2) (- (* x (sin y)) (* z (cos y))))
(/ (pow x 2) (- (* x (sin y)) (* z (cos y))))
(/ x (sin y))
(+ (/ x (sin y)) (/ (* z (cos y)) (pow (sin y) 2)))
(+ (* z (- (/ (* z (pow (cos y) 2)) (* x (pow (sin y) 3))) (* -1 (/ (cos y) (pow (sin y) 2))))) (/ x (sin y)))
(+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 2) (* x (pow (sin y) 3)))))) (* -1 (/ (cos y) (pow (sin y) 2))))) (/ x (sin y)))
(* -1 (/ (pow x 2) (* z (cos y))))
(/ (+ (* -1 (/ (* (pow x 3) (sin y)) (* z (pow (cos y) 2)))) (* -1 (/ (pow x 2) (cos y)))) z)
(/ (- (+ (* -1 (/ (* (pow x 4) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (* -1 (/ (pow x 2) (cos y)))) (/ (* (pow x 3) (sin y)) (* z (pow (cos y) 2)))) z)
(/ (- (+ (* -1 (/ (* (pow x 5) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (* -1 (/ (pow x 2) (cos y)))) (+ (/ (* (pow x 3) (sin y)) (* z (pow (cos y) 2))) (/ (* (pow x 4) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3))))) z)
(* -1 (/ (pow x 2) (* z (cos y))))
(* -1 (/ (+ (/ (* (pow x 3) (sin y)) (* z (pow (cos y) 2))) (/ (pow x 2) (cos y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 4) (pow (sin y) 2)) (* z (pow (cos y) 3)))) (/ (* (pow x 3) (sin y)) (pow (cos y) 2))) z)) (/ (pow x 2) (cos y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 5) (pow (sin y) 3)) (* z (pow (cos y) 4))) (* -1 (/ (* (pow x 4) (pow (sin y) 2)) (pow (cos y) 3)))) z)) (/ (* (pow x 3) (sin y)) (pow (cos y) 2))) z)) (/ (pow x 2) (cos y))) z))
Outputs
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) (neg.f64 x))
(* x (sin y))
(*.f64 x (sin.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) (neg.f64 z))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) (neg.f64 z))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) (neg.f64 z))
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 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y)
(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)
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
z
(+ z (* -1/2 (* (pow y 2) z)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y y)) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 z #s(literal -1/2 binary64))) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) z (*.f64 z #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z)
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(* z (cos y))
(*.f64 z (cos.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) (neg.f64 x))
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) (neg.f64 z))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) (neg.f64 z))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) (neg.f64 z))
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(* x y)
(*.f64 x y)
(* y (+ x (/ z y)))
(*.f64 y (+.f64 x (/.f64 z y)))
(* y (+ x (/ z y)))
(*.f64 y (+.f64 x (/.f64 z y)))
(* y (+ x (/ z y)))
(*.f64 y (+.f64 x (/.f64 z y)))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(*.f64 (-.f64 (/.f64 z (neg.f64 y)) x) (neg.f64 y))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(*.f64 (-.f64 (/.f64 z (neg.f64 y)) x) (neg.f64 y))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(*.f64 (-.f64 (/.f64 z (neg.f64 y)) x) (neg.f64 y))
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(* x y)
(*.f64 x y)
(* x (+ y (/ z x)))
(*.f64 x (+.f64 y (/.f64 z x)))
(* x (+ y (/ z x)))
(*.f64 x (+.f64 y (/.f64 z x)))
(* x (+ y (/ z x)))
(*.f64 x (+.f64 y (/.f64 z x)))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 z (neg.f64 x)) y))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 z (neg.f64 x)) y))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 z (neg.f64 x)) y))
(* x y)
(*.f64 x y)
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
z
(* z (+ 1 (/ (* x y) z)))
(fma.f64 z (*.f64 x (/.f64 y z)) z)
(* z (+ 1 (/ (* x y) z)))
(fma.f64 z (*.f64 x (/.f64 y z)) z)
(* z (+ 1 (/ (* x y) z)))
(fma.f64 z (*.f64 x (/.f64 y z)) z)
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(fma.f64 (neg.f64 z) (neg.f64 (*.f64 x (/.f64 y z))) z)
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(fma.f64 (neg.f64 z) (neg.f64 (*.f64 x (/.f64 y z))) z)
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(fma.f64 (neg.f64 z) (neg.f64 (*.f64 x (/.f64 y z))) z)
(* z (cos y))
(*.f64 z (cos.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) (neg.f64 x))
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z)
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z
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(neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 y (*.f64 z z)) (/.f64 (*.f64 x x) z)))
(+ (* -1 (/ (pow x 2) z)) (* y (- (* -1 (* y (+ (* 1/2 (/ (pow x 2) z)) (/ (pow x 4) (pow z 3))))) (/ (pow x 3) (pow z 2)))))
(fma.f64 y (neg.f64 (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) z) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 z (*.f64 z z)))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z z)))) (neg.f64 (/.f64 (*.f64 x x) z)))
(+ (* -1 (/ (pow x 2) z)) (* y (- (* y (- (* -1 (* y (+ (* -1/6 (/ (pow x 3) (pow z 2))) (+ (* 1/2 (/ (pow x 3) (pow z 2))) (/ (* x (+ (* 1/2 (/ (pow x 2) z)) (/ (pow x 4) (pow z 3)))) z))))) (+ (* 1/2 (/ (pow x 2) z)) (/ (pow x 4) (pow z 3))))) (/ (pow x 3) (pow z 2)))))
(fma.f64 y (-.f64 (*.f64 y (neg.f64 (fma.f64 y (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z z)) (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) z) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 z (*.f64 z z)))) z) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 z z)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) z) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 z (*.f64 z z))))))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z z))) (neg.f64 (/.f64 (*.f64 x x) z)))
(/ (pow x 2) (- (* x (sin y)) (* z (cos y))))
(/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(/ (pow x 2) (- (* x (sin y)) (* z (cos y))))
(/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(/ (pow x 2) (- (* x (sin y)) (* z (cos y))))
(/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(/ (pow x 2) (- (* x (sin y)) (* z (cos y))))
(/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(/ (pow x 2) (- (* x (sin y)) (* z (cos y))))
(/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(/ (pow x 2) (- (* x (sin y)) (* z (cos y))))
(/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(/ (pow x 2) (- (* x (sin y)) (* z (cos y))))
(/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(/ (pow x 2) (- (* x (sin y)) (* z (cos y))))
(/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(/ x (sin y))
(/.f64 x (sin.f64 y))
(+ (/ x (sin y)) (/ (* z (cos y)) (pow (sin y) 2)))
(fma.f64 z (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 x (sin.f64 y)))
(+ (* z (- (/ (* z (pow (cos y) 2)) (* x (pow (sin y) 3))) (* -1 (/ (cos y) (pow (sin y) 2))))) (/ x (sin y)))
(fma.f64 z (fma.f64 z (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 x (sin.f64 y)))
(+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 2) (* x (pow (sin y) 3)))))) (* -1 (/ (cos y) (pow (sin y) 2))))) (/ x (sin y)))
(fma.f64 z (fma.f64 z (fma.f64 z (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 x (sin.f64 y)))
(* -1 (/ (pow x 2) (* z (cos y))))
(/.f64 (*.f64 x x) (*.f64 (cos.f64 y) (neg.f64 z)))
(/ (+ (* -1 (/ (* (pow x 3) (sin y)) (* z (pow (cos y) 2)))) (* -1 (/ (pow x 2) (cos y)))) z)
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 x x) (cos.f64 y))) (neg.f64 z))
(/ (- (+ (* -1 (/ (* (pow x 4) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (* -1 (/ (pow x 2) (cos y)))) (/ (* (pow x 3) (sin y)) (* z (pow (cos y) 2)))) z)
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 x x) (cos.f64 y))))) z)
(/ (- (+ (* -1 (/ (* (pow x 5) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (* -1 (/ (pow x 2) (cos y)))) (+ (/ (* (pow x 3) (sin y)) (* z (pow (cos y) 2))) (/ (* (pow x 4) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3))))) z)
(/.f64 (-.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 z (*.f64 z z)) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (/.f64 (*.f64 x x) (cos.f64 y)))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))) z)
(* -1 (/ (pow x 2) (* z (cos y))))
(/.f64 (*.f64 x x) (*.f64 (cos.f64 y) (neg.f64 z)))
(* -1 (/ (+ (/ (* (pow x 3) (sin y)) (* z (pow (cos y) 2))) (/ (pow x 2) (cos y))) z))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 x x) (cos.f64 y))) (neg.f64 z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 4) (pow (sin y) 2)) (* z (pow (cos y) 3)))) (/ (* (pow x 3) (sin y)) (pow (cos y) 2))) z)) (/ (pow x 2) (cos y))) z))
(/.f64 (-.f64 (/.f64 (*.f64 x x) (cos.f64 y)) (/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 (*.f64 (sin.f64 y) (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) z)) (neg.f64 z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 5) (pow (sin y) 3)) (* z (pow (cos y) 4))) (* -1 (/ (* (pow x 4) (pow (sin y) 2)) (pow (cos y) 3)))) z)) (/ (* (pow x 3) (sin y)) (pow (cos y) 2))) z)) (/ (pow x 2) (cos y))) z))
(/.f64 (-.f64 (/.f64 (*.f64 x x) (cos.f64 y)) (/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (neg.f64 z)) (/.f64 (*.f64 (sin.f64 y) (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z)) (neg.f64 z))

rewrite523.0ms (5.1%)

Memory
-15.5MiB live, 667.9MiB allocated
Rules
6 826×lower-fma.f32
6 820×lower-fma.f64
4 436×lower-/.f32
4 430×lower-/.f64
3 878×lower-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036232
063164
1236132
21892132
08211132
Stop Event
iter limit
node limit
iter limit
Counts
16 → 946
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(sin.f64 y)
(*.f64 z (cos.f64 y))
(cos.f64 y)
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
(fma.f64 y x z)
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
(-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
(/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
Outputs
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))
(+.f64 (/.f64 (*.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) (*.f64 x (*.f64 (/.f64 x (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(+.f64 (*.f64 x (*.f64 (/.f64 x (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))))
(+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 z (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (*.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))))
(+.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 (/.f64 x (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.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 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) (neg.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.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 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) (*.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) (*.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))))
(+.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) #s(literal 0 binary64)) (/.f64 (*.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))))
(-.f64 (*.f64 x (*.f64 (/.f64 x (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 z (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (*.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 (/.f64 x (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.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 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.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 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))))
(-.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) #s(literal 0 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (fma.f64 (*.f64 z (*.f64 z (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 z (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)))) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) (/.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (fma.f64 (*.f64 z (*.f64 z (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 z (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)))) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (fma.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 z (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) (/.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) (fma.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 z (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))))
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(*.f64 (/.f64 (*.f64 z z) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (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 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(*.f64 (/.f64 (*.f64 z z) (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 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)) (*.f64 x x))) #s(literal -1 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) #s(literal -1 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (neg.f64 x)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) (/.f64 (*.f64 x x) (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))))
(neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))))
(neg.f64 (/.f64 (*.f64 x (neg.f64 x)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))))
(/.f64 x (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)) x))
(/.f64 (*.f64 x x) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))
(/.f64 (*.f64 x x) (neg.f64 (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)) (*.f64 (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) (*.f64 (*.f64 x x) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)) (*.f64 x x))))
(/.f64 (*.f64 x (neg.f64 x)) (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))))
(/.f64 (neg.f64 (*.f64 x (neg.f64 x))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))))
(/.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))
(/.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (neg.f64 (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))))
(/.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))))
(/.f64 (/.f64 (*.f64 x x) (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 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))))
(/.f64 (neg.f64 (neg.f64 (*.f64 x (neg.f64 x)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))))
(pow.f64 (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)) (*.f64 x x)) #s(literal -1 binary64))
(*.f64 x (/.f64 x (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))))
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) (*.f64 x x))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (neg.f64 x)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)) (*.f64 x x)))))
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))))
(*.f64 (/.f64 x (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) x)
(*.f64 (neg.f64 (*.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))))
(*.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))))
(*.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (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 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(*.f64 (/.f64 (*.f64 x x) (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 z (cos.f64 y) (*.f64 (sin.f64 y) x)))

eval326.0ms (3.2%)

Memory
41.6MiB live, 579.2MiB allocated
Compiler

Compiled 84 407 to 3 156 computations (96.3% saved)

prune262.0ms (2.6%)

Memory
-14.9MiB live, 484.9MiB allocated
Pruning

34 alts after pruning (31 fresh and 3 done)

PrunedKeptTotal
New1 665311 696
Fresh11011
Picked235
Done000
Total1 678341 712
Accuracy
100.0%
Counts
1 712 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.0%
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) z) (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)) z)))
69.1%
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #s(approx (/ (* z z) (- (* x (sin y)) (* z (cos y)))) (neg.f64 (/.f64 z (cos.f64 y)))))))
48.4%
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #s(approx (/ (* z z) (- (* x (sin y)) (* z (cos y)))) (neg.f64 z)))))
49.9%
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #s(approx (/ (* x x) (- (* x (sin y)) (* z (cos y)))) (/.f64 x (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) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
99.8%
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
75.6%
(fma.f64 (sin.f64 y) x (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
99.8%
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))))
42.9%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
54.5%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
43.2%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
30.5%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #s(approx (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))) (*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))))
37.9%
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (fma.f64 y (fma.f64 y (-.f64 (-.f64 (fma.f64 z #s(literal 1/2 binary64) (/.f64 (*.f64 x x) z)) (/.f64 (*.f64 x x) z)) z) x) z))
60.5%
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
25.5%
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y)))
60.4%
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z (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)))))
51.9%
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z))
51.6%
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z))
93.1%
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
88.6%
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
39.8%
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x (sin.f64 y)))
53.0%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
22.3%
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y))) (-.f64 z (*.f64 y x))))
29.4%
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 y x) z)))
52.8%
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))))
60.7%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
36.3%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
36.7%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
36.3%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)))))
38.6%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
51.3%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 z (*.f64 x (/.f64 y z)) z)))
42.7%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y)))))
17.8%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
36.7%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 z #s(literal -1/2 binary64))) z)))
Compiler

Compiled 1 347 to 754 computations (44% saved)

simplify443.0ms (4.4%)

Memory
10.7MiB live, 281.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
cost-diff0
(*.f64 z (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))))
cost-diff0
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z (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)))))
cost-diff7104
(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)))
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 x (sin.f64 y))
cost-diff0
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x (sin.f64 y)))
cost-diff0
(fma.f64 y x z)
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 y x z))
cost-diff0
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z)))
cost-diff0
(*.f64 x y)
cost-diff0
#s(approx (+ (* y x) z) (*.f64 x y))
cost-diff0
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 (sin.f64 y) x)
cost-diff0
(cos.f64 y)
cost-diff0
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
Rules
13 094×lower-fma.f32
13 088×lower-fma.f64
4 064×lower-*.f32
4 054×lower-*.f64
1 848×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049226
067214
1125214
2239214
3622208
41984206
54553196
67932196
08425192
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(cos.f64 y)
y
z
(*.f64 (sin.f64 y) x)
(sin.f64 y)
x
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* y x) z) (*.f64 x y))
(*.f64 x y)
x
y
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 y x z))
(fma.f64 y x z)
y
x
z
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x (sin.f64 y)))
(*.f64 x (sin.f64 y))
x
(sin.f64 y)
y
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z (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 z (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))))
z
(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)))
#s(literal 1/2 binary64)
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
(cos.f64 y)
(/.f64 #s(literal 1/2 binary64) (cos.f64 y))
Outputs
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(cos.f64 y)
y
z
(*.f64 (sin.f64 y) x)
(sin.f64 y)
x
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
#s(approx (+ (* y x) z) (*.f64 x y))
#s(approx (+ (* y x) z) (*.f64 y x))
(*.f64 x y)
(*.f64 y x)
x
y
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))))
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y x z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z)))
(fma.f64 y x z)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 y x z))
(fma.f64 y x z)
y
x
z
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x (sin.f64 y)))
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 (sin.f64 y) x))
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
x
(sin.f64 y)
y
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z (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)))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (fma.f64 z (cos.f64 (*.f64 y #s(literal -2 binary64))) z)))
(*.f64 z (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 #s(literal 1/2 binary64) (cos.f64 y)) (fma.f64 z (cos.f64 (*.f64 y #s(literal -2 binary64))) z))
z
(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 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))
#s(literal 1/2 binary64)
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
(cos.f64 y)
(/.f64 #s(literal 1/2 binary64) (cos.f64 y))

localize198.0ms (1.9%)

Memory
-17.2MiB live, 293.2MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.13671875
(*.f64 z (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))))
accuracy0.16015625
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
accuracy0.5299922680738173
(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)))
accuracy25.080581844877297
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z (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)))))
accuracy0.00390625
(sin.f64 y)
accuracy0.140625
(*.f64 x (sin.f64 y))
accuracy38.49513528460727
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x (sin.f64 y)))
accuracy0
(fma.f64 y x z)
accuracy0.228229882300769
(/.f64 #s(literal 1 binary64) (fma.f64 y x z))
accuracy0.26953125
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z)))
accuracy30.084654627096043
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))))
accuracy0
(*.f64 x y)
accuracy30.084654627096043
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
accuracy31.398786852745328
#s(approx (+ (* y x) z) (*.f64 x y))
accuracy0
(cos.f64 y)
accuracy0.00390625
(sin.f64 y)
accuracy0.0703125
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
accuracy0.140625
(*.f64 (sin.f64 y) x)
Samples
90.0ms64×1valid
66.0ms192×0valid
Compiler

Compiled 192 to 43 computations (77.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 135.0ms
ival-cos: 34.0ms (25.2% of total)
adjust: 29.0ms (21.5% of total)
ival-mult: 27.0ms (20% of total)
ival-div: 16.0ms (11.9% of total)
ival-sin: 13.0ms (9.6% of total)
ival-add: 12.0ms (8.9% of total)
ival-sub: 3.0ms (2.2% of total)
ival-neg: 1.0ms (0.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series92.0ms (0.9%)

Memory
-2.0MiB live, 52.0MiB allocated
Counts
17 → 468
Calls
Call 1
Inputs
#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())
#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* y x) z) (*.f64 x y)) (patch #s(approx (+ (* y x) z) (*.f64 x y)) #<representation binary64>) () ())
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z)))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y x z)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y x z)) #<representation binary64>) () ())
#s(alt (fma.f64 y x z) (patch (fma.f64 y x z) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x (sin.f64 y))) (patch #s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x (sin.f64 y))) #<representation binary64>) () ())
#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())
#s(alt (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))) (patch (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))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z (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))))) (patch #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z (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))))) #<representation binary64>) () ())
#s(alt (*.f64 z (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)))) (patch (*.f64 z (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)))) #<representation binary64>) () ())
#s(alt (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (patch (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) #<representation binary64>) () ())
Outputs
#s(alt z (taylor 0 y) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ z (* x y)) (taylor 0 y) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ z (* y (+ x (* -1/2 (* y z))))) (taylor 0 y) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) (taylor 0 y) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (cos y) (/ (* x (sin y)) z))) (taylor inf z) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (cos y) (/ (* x (sin y)) z))) (taylor inf z) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (cos y) (/ (* x (sin y)) z))) (taylor inf z) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) (taylor -inf z) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) (taylor -inf z) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) (taylor -inf z) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor 0 x) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 x) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 x) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 x) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (sin y) (/ (* z (cos y)) x))) (taylor inf x) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (sin y) (/ (* z (cos y)) x))) (taylor inf x) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (sin y) (/ (* z (cos y)) x))) (taylor inf x) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<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>) () ())) ())
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#s(alt (+ 1 (* (pow y 2) (- (* -1/8 (pow y 2)) 3/2))) (taylor 0 y) (#s(alt (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (patch (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (- (* -7/80 (pow y 2)) 1/8)) 3/2))) (taylor 0 y) (#s(alt (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (patch (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* -2 y)) (cos y)) (taylor inf y) (#s(alt (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (patch (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* -2 y)) (cos y)) (taylor inf y) (#s(alt (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (patch (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* -2 y)) (cos y)) (taylor inf y) (#s(alt (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (patch (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* -2 y)) (cos y)) (taylor inf y) (#s(alt (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (patch (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* -2 y)) (cos y)) (taylor -inf y) (#s(alt (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (patch (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* -2 y)) (cos y)) (taylor -inf y) (#s(alt (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (patch (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* -2 y)) (cos y)) (taylor -inf y) (#s(alt (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (patch (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* -2 y)) (cos y)) (taylor -inf y) (#s(alt (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (patch (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) #<representation binary64>) () ())) ())
Calls

117 calls:

TimeVariablePointExpression
33.0ms
z
@inf
(* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))))
25.0ms
z
@-inf
(* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))))
6.0ms
y
@-inf
(/ 1 (+ (* y x) z))
2.0ms
z
@0
(* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))))
1.0ms
y
@-inf
(+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))

simplify306.0ms (3%)

Memory
22.9MiB live, 428.6MiB allocated
Algorithm
egg-herbie
Rules
7 904×lower-fma.f64
7 904×lower-fma.f32
6 962×lower-*.f64
6 962×lower-*.f32
2 896×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06666053
122525880
080585510
Stop Event
iter limit
node limit
Counts
468 → 449
Calls
Call 1
Inputs
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
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)
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* x y)
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
z
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* x y)
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
z
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(/ 1 z)
(+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))
(+ (* y (- (/ (* (pow x 2) y) (pow z 3)) (/ x (pow z 2)))) (/ 1 z))
(+ (* y (- (* y (- (* -1 (/ (* (pow x 3) y) (pow z 4))) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
(/ 1 (* x y))
(/ (+ (* -1 (/ z (* (pow x 2) y))) (/ 1 x)) y)
(/ (- (+ (/ 1 x) (/ (pow z 2) (* (pow x 3) (pow y 2)))) (/ z (* (pow x 2) y))) y)
(/ (- (+ (* -1 (/ (pow z 3) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -1 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (/ z (* (pow x 2) y)))) y)
(/ 1 (* x y))
(* -1 (/ (- (/ z (* (pow x 2) y)) (/ 1 x)) y))
(* -1 (/ (- (* -1 (/ (- (/ (pow z 2) (* (pow x 3) y)) (/ z (pow x 2))) y)) (/ 1 x)) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) (* (pow x 4) y)) (/ (pow z 2) (pow x 3))) y)) (/ z (pow x 2))) y)) (/ 1 x)) y))
(/ 1 z)
(+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))
(+ (* x (- (/ (* x (pow y 2)) (pow z 3)) (/ y (pow z 2)))) (/ 1 z))
(+ (* x (- (* x (- (* -1 (/ (* x (pow y 3)) (pow z 4))) (* -1 (/ (pow y 2) (pow z 3))))) (/ y (pow z 2)))) (/ 1 z))
(/ 1 (* x y))
(/ (+ (* -1 (/ z (* x (pow y 2)))) (/ 1 y)) x)
(/ (- (+ (/ 1 y) (/ (pow z 2) (* (pow x 2) (pow y 3)))) (/ z (* x (pow y 2)))) x)
(/ (- (+ (* -1 (/ (pow z 3) (* (pow x 3) (pow y 4)))) (/ 1 y)) (+ (* -1 (/ (pow z 2) (* (pow x 2) (pow y 3)))) (/ z (* x (pow y 2))))) x)
(/ 1 (* x y))
(* -1 (/ (- (/ z (* x (pow y 2))) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (- (/ (pow z 2) (* x (pow y 3))) (/ z (pow y 2))) x)) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) (* x (pow y 4))) (/ (pow z 2) (pow y 3))) x)) (/ z (pow y 2))) x)) (/ 1 y)) x))
(/ 1 (* x y))
(+ (* -1 (/ z (* (pow x 2) (pow y 2)))) (/ 1 (* x y)))
(+ (* z (- (/ z (* (pow x 3) (pow y 3))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y)))
(+ (* z (- (* z (+ (* -1 (/ z (* (pow x 4) (pow y 4)))) (/ 1 (* (pow x 3) (pow y 3))))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y)))
(/ 1 z)
(/ (+ 1 (* -1 (/ (* x y) z))) z)
(/ (- (+ 1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (/ (* x y) z)) z)
(/ (- (+ 1 (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (/ (* x y) z))) z)
(/ 1 z)
(* -1 (/ (- (/ (* x y) z) 1) z))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow y 2)) z) (* x y)) z)) 1) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow y 3)) z) (* (pow x 2) (pow y 2))) z)) (* x y)) z)) 1) z))
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* x y)
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
z
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))
(+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))
(+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))
(+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))
(+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))
(+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))
(+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))
(+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))
z
(- (* x y) (* -1 z))
(- (* y (+ x (* y (- (+ (* -1 (/ (pow x 2) z)) (+ (* 1/2 z) (/ (pow x 2) z))) z)))) (* -1 z))
(- (* y (+ x (* y (- (+ (* -1 (/ (pow x 2) z)) (+ (* 1/2 z) (+ (* y (- (+ (* -1 (/ (* x (- z (+ (* 1/2 z) (/ (pow x 2) z)))) z)) (+ (* -1/6 x) (* 1/2 x))) (/ (pow x 3) (pow z 2)))) (/ (pow x 2) z)))) z)))) (* -1 z))
(- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))))
(- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))))
(- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))))
(- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))))
(- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))))
(- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))))
(- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))))
(- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(- (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))))
(- (* x (+ (* x (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (cos y)))) (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))))
(- (* x (+ (* x (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (cos y)))) (+ (* x (- (/ (* (pow (sin y) 3) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (cos y) 4))) (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (cos y) 2))))) (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))))
(* x (- (* 1/2 (/ 1 (sin y))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))
(* x (- (+ (* 1/2 (/ 1 (sin y))) (* 1/2 (/ (* z (cos y)) (* x (pow (sin y) 2))))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ (* z (* (cos y) (cos (* 2 y)))) (* x (pow (sin y) 2)))))))
(* x (- (+ (* 1/2 (/ 1 (sin y))) (+ (* 1/2 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (* 1/2 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (+ (* 1/2 (/ (* z (* (cos y) (cos (* 2 y)))) (* x (pow (sin y) 2)))) (+ (* 1/2 (/ (* (pow z 2) (* (pow (cos y) 2) (cos (* 2 y)))) (* (pow x 2) (pow (sin y) 3)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y))))))))
(* x (- (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (sin y) 2)))) (+ (* 1/2 (/ 1 (sin y))) (+ (* 1/2 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (+ (* 1/2 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (* 1/2 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))))))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (+ (* 1/2 (/ (* z (* (cos y) (cos (* 2 y)))) (* x (pow (sin y) 2)))) (+ (* 1/2 (/ (* (pow z 2) (* (pow (cos y) 2) (cos (* 2 y)))) (* (pow x 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (* (pow z 3) (* (pow (cos y) 3) (cos (* 2 y)))) (* (pow x 3) (pow (sin y) 4)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y)))))))))
(* x (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))
(* -1 (* x (- (* -1 (/ (- (* 1/2 (/ (* z (cos y)) (pow (sin y) 2))) (* 1/2 (/ (* z (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) x)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1/2 (/ (* (pow z 2) (* (pow (cos y) 2) (cos (* 2 y)))) (pow (sin y) 3))))) x)) (* 1/2 (/ (* z (cos y)) (pow (sin y) 2)))) (* 1/2 (/ (* z (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) x)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (* 1/2 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 4)))) (* 1/2 (/ (* (pow z 3) (* (pow (cos y) 3) (cos (* 2 y)))) (pow (sin y) 4)))) x)) (* -1/2 (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3)))) (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1/2 (/ (* (pow z 2) (* (pow (cos y) 2) (cos (* 2 y)))) (pow (sin y) 3))))) x)) (* 1/2 (/ (* z (cos y)) (pow (sin y) 2)))) (* 1/2 (/ (* z (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) x)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))
(/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
(+ (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))
(+ (* z (- (* -1 (* z (+ (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3)))) (+ (* 1/2 (/ 1 (* x (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* x (sin y)))))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(+ (* z (- (* z (- (* z (- (* -1 (/ (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (sin y) 2)))) (* -1 (/ (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (sin y) 4)))))) (+ (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3)))) (+ (* 1/2 (/ 1 (* x (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* x (sin y)))))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(* z (- (* 1/2 (/ 1 (cos y))) (* -1/2 (/ (cos (* 2 y)) (cos y)))))
(* z (- (+ (* -1 (/ (+ (* -1/2 (/ (* x (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (pow (cos y) 2)))) z)) (* 1/2 (/ 1 (cos y)))) (* -1/2 (/ (cos (* 2 y)) (cos y)))))
(* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (* 1/2 (/ 1 (cos y)))) (+ (* -1/2 (/ (cos (* 2 y)) (cos y))) (+ (* -1/2 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* (pow z 2) (pow (cos y) 3)))) (* -1/2 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3))))))))))
(* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (+ (* -1 (/ (+ (* -1/2 (/ (* (pow x 3) (* (cos (* 2 y)) (pow (sin y) 3))) (pow (cos y) 4))) (+ (* -1/2 (/ (* (pow x 3) (pow (sin y) 3)) (pow (cos y) 4))) (/ (* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) (pow z 3))) (* 1/2 (/ 1 (cos y))))) (+ (* -1/2 (/ (cos (* 2 y)) (cos y))) (+ (* -1/2 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* (pow z 2) (pow (cos y) 3)))) (* -1/2 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3))))))))))
(* z (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))
(* -1 (* z (- (+ (* -1/2 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (* z (pow (cos y) 2))))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (+ (* 1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* 1/2 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))))) z)) (+ (* -1/2 (/ (* x (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) z)) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow x 3) (* (cos (* 2 y)) (pow (sin y) 3))) (* z (pow (cos y) 4)))) (+ (* -1/2 (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4)))) (+ (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))))) (+ (* 1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* 1/2 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))))) z)) (+ (* -1/2 (/ (* x (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) z)) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
z
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
1
(+ 1 (* -3/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* -1/8 (pow y 2)) 3/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (* -7/80 (pow y 2)) 1/8)) 3/2)))
(/ (cos (* -2 y)) (cos y))
(/ (cos (* -2 y)) (cos y))
(/ (cos (* -2 y)) (cos y))
(/ (cos (* -2 y)) (cos y))
(/ (cos (* -2 y)) (cos y))
(/ (cos (* -2 y)) (cos y))
(/ (cos (* -2 y)) (cos y))
(/ (cos (* -2 y)) (cos y))
Outputs
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) (neg.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(* x y)
(*.f64 x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) x))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x #s(literal -1/6 binary64))) x))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 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)
(* z (cos y))
(*.f64 z (cos.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
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(* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (* 1/2 (/ 1 (cos y)))) (+ (* -1/2 (/ (cos (* 2 y)) (cos y))) (+ (* -1/2 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* (pow z 2) (pow (cos y) 3)))) (* -1/2 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3))))))))))
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(* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (+ (* -1 (/ (+ (* -1/2 (/ (* (pow x 3) (* (cos (* 2 y)) (pow (sin y) 3))) (pow (cos y) 4))) (+ (* -1/2 (/ (* (pow x 3) (pow (sin y) 3)) (pow (cos y) 4))) (/ (* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) (pow z 3))) (* 1/2 (/ 1 (cos y))))) (+ (* -1/2 (/ (cos (* 2 y)) (cos y))) (+ (* -1/2 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* (pow z 2) (pow (cos y) 3)))) (* -1/2 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3))))))))))
(*.f64 z (+.f64 (neg.f64 (fma.f64 x (*.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (cos.f64 y) (*.f64 z z)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 x (sin.f64 y))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 z (*.f64 z z))))) (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 x (+.f64 (/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 (sin.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64)))) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (*.f64 (/.f64 (*.f64 x x) (*.f64 z z)) (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)))))))
(* z (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))
(*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* -1 (* z (- (+ (* -1/2 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (* z (pow (cos y) 2))))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))))
(*.f64 z (neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 (sin.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64)))) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))) (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (+ (* 1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* 1/2 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))))) z)) (+ (* -1/2 (/ (* x (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) z)) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))))
(neg.f64 (*.f64 z (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64)))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 x x) (cos.f64 y)))) (neg.f64 z))) (neg.f64 z)) (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow x 3) (* (cos (* 2 y)) (pow (sin y) 3))) (* z (pow (cos y) 4)))) (+ (* -1/2 (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4)))) (+ (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))))) (+ (* 1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* 1/2 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))))) z)) (+ (* -1/2 (/ (* x (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) z)) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))))
(*.f64 (neg.f64 z) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64)))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 4 binary64))))) (fma.f64 x (*.f64 x (/.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 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 x (sin.f64 y))))) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))) (neg.f64 z))) (neg.f64 z)) (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
z
(+ z (* -1/2 (* (pow y 2) z)))
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z)
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
1
#s(literal 1 binary64)
(+ 1 (* -3/2 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -3/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* -1/8 (pow y 2)) 3/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) #s(literal -3/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (* -7/80 (pow y 2)) 1/8)) 3/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -7/80 binary64) #s(literal -1/8 binary64)) #s(literal -3/2 binary64)) #s(literal 1 binary64))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))

rewrite381.0ms (3.7%)

Memory
-8.5MiB live, 594.2MiB allocated
Rules
5 616×lower-fma.f32
5 610×lower-fma.f64
5 070×lower-/.f32
5 062×lower-/.f64
4 512×lower-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
049196
067184
1275147
21981147
08299147
Stop Event
iter limit
node limit
iter limit
Counts
17 → 479
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(cos.f64 y)
(*.f64 (sin.f64 y) x)
(sin.f64 y)
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* y x) z) (*.f64 x y))
(*.f64 x y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))))
(/.f64 #s(literal 1 binary64) (fma.f64 y x z))
(fma.f64 y x z)
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x (sin.f64 y)))
(*.f64 x (sin.f64 y))
(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)))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z (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 z (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 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
Outputs
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))) (*.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
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(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) #s(literal 2 binary64)) (*.f64 (*.f64 z (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) (*.f64 z (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))))
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(/.f64 (*.f64 z (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 y) #s(literal -3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 z (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (cos.f64 y)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 y) #s(literal -3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) #s(literal 3 binary64))) z) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) z) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (cos.f64 y)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 z (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) #s(literal 2 binary64)) (*.f64 (*.f64 z (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) (*.f64 z (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 z (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (*.f64 z #s(literal 1/2 binary64))) (cos.f64 y))))
(/.f64 (neg.f64 (*.f64 z (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 y) #s(literal -3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 z (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (cos.f64 y))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 y) #s(literal -3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) #s(literal 3 binary64))) z)) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) z)) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (cos.f64 y))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) #s(literal 3 binary64)) (pow.f64 (*.f64 z (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) #s(literal 2 binary64)) (*.f64 (*.f64 z (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (*.f64 z (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))))))
(*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(*.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) z)
(*.f64 (/.f64 z #s(literal 1/2 binary64)) (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 (-.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (/.f64 (-.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 y))) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (neg.f64 (cos.f64 y))))
(neg.f64 (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (neg.f64 (cos.f64 y))))
(neg.f64 (/.f64 (neg.f64 (cos.f64 (*.f64 y #s(literal -2 binary64)))) (cos.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64)))))))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (cos.f64 (*.f64 y #s(literal -2 binary64)))) (neg.f64 (cos.f64 y)))
(/.f64 (neg.f64 (neg.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))))) (neg.f64 (neg.f64 (cos.f64 y))))
(/.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 y)))))
(/.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64))) (neg.f64 (cos.f64 y)))
(pow.f64 (/.f64 (cos.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (cos.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)))
(*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 y)))
(*.f64 (neg.f64 (cos.f64 (*.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (cos.f64 (*.f64 y #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal -1 binary64)))

eval154.0ms (1.5%)

Memory
1.3MiB live, 300.5MiB allocated
Compiler

Compiled 27 199 to 1 840 computations (93.2% saved)

prune204.0ms (2%)

Memory
36.6MiB live, 458.1MiB allocated
Pruning

43 alts after pruning (36 fresh and 7 done)

PrunedKeptTotal
New94818966
Fresh81826
Picked145
Done033
Total957431 000
Accuracy
100.0%
Counts
1 000 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.0%
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) z) (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)) z)))
48.4%
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #s(approx (/ (* z z) (- (* x (sin y)) (* z (cos y)))) (neg.f64 z)))))
49.9%
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #s(approx (/ (* x x) (- (* x (sin y)) (* z (cos y)))) (/.f64 x (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) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
99.8%
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
75.6%
(fma.f64 (sin.f64 y) x (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
99.8%
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))))
42.9%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
54.5%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
43.2%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
30.5%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #s(approx (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))) (*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))))
37.9%
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (fma.f64 y (fma.f64 y (-.f64 (-.f64 (fma.f64 z #s(literal 1/2 binary64) (/.f64 (*.f64 x x) z)) (/.f64 (*.f64 x x) z)) z) x) z))
60.5%
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
25.5%
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y)))
60.5%
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y))))
60.4%
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z (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)))))
36.3%
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
36.3%
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
38.6%
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))))
25.5%
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))))
36.7%
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z)))
51.6%
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
93.1%
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
88.6%
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
39.8%
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x (sin.f64 y)))
17.9%
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
17.9%
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (* x (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) x))))
17.9%
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (* x (sin y)) (*.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))))
53.0%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
22.3%
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y))) (-.f64 z (*.f64 y x))))
26.6%
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 z (*.f64 y x))))
29.4%
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 y x) z)))
17.8%
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y x) z) (*.f64 x y)))))
29.0%
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (-.f64 (*.f64 y x) z))))
13.1%
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x (*.f64 y y)))) x))))
37.5%
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) z))))
38.5%
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (/.f64 #s(literal 1 binary64) z))))
12.6%
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 z (*.f64 x (*.f64 x (*.f64 y y))))))))
60.7%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
42.7%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (* y x) z))) (*.f64 y (+.f64 x (/.f64 z y)))))
51.3%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 z (*.f64 x (/.f64 y z)) z)))
17.8%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
36.7%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 z #s(literal -1/2 binary64))) z)))
Compiler

Compiled 1 587 to 886 computations (44.2% saved)

simplify215.0ms (2.1%)

Memory
-7.1MiB live, 345.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
cost-diff0
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))
cost-diff0
(*.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)))
cost-diff0
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))))
cost-diff0
(*.f64 z z)
cost-diff0
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y))) (-.f64 z (*.f64 y x))))
cost-diff256
(-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y)))
cost-diff2048
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y))) (-.f64 z (*.f64 y x)))
cost-diff0
(*.f64 y y)
cost-diff0
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z)
cost-diff0
#s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z))
cost-diff0
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z)))
cost-diff0
#s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))
cost-diff0
(*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64)))
cost-diff0
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))))
cost-diff0
(cos.f64 y)
cost-diff0
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))))
Rules
10 072×lower-fma.f32
10 064×lower-fma.f64
4 066×lower-*.f32
4 044×lower-*.f64
1 438×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064471
091463
1189463
2443463
31145428
42781418
56359418
08145404
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
z
(cos.f64 y)
y
(*.f64 (sin.f64 y) x)
(sin.f64 y)
x
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))))
(*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64)))
z
#s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z)))
#s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z))
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z)
(*.f64 y y)
y
(*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
z
(fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(*.f64 y #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y))) (-.f64 z (*.f64 y x))))
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y))) (-.f64 z (*.f64 y x)))
(-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 z z)
z
(*.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
(-.f64 z (*.f64 y x))
(*.f64 y x)
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))))
(*.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)))
x
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
#s(literal 1/2 binary64)
(sin.f64 y)
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
z
(cos.f64 y)
y
(*.f64 (sin.f64 y) x)
(sin.f64 y)
x
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))))
(*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64)))
z
#s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z)))
#s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z))
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z)
(*.f64 y y)
y
(*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
z
(fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(*.f64 y #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y))) (-.f64 z (*.f64 y x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y))) (-.f64 z (*.f64 y x)))
(fma.f64 y x z)
(-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 (-.f64 z (*.f64 y x)) (fma.f64 y x z))
(*.f64 z z)
z
(*.f64 (*.f64 x x) (*.f64 y y))
(*.f64 y (*.f64 y (*.f64 x x)))
(*.f64 x x)
x
(*.f64 y y)
y
(-.f64 z (*.f64 y x))
(*.f64 y x)
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 x (/.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)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (sin.f64 y))))
(*.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (sin.f64 y)))
x
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
#s(literal 1/2 binary64)
(sin.f64 y)

localize305.0ms (3%)

Memory
-29.8MiB live, 541.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.140625
(*.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)))
accuracy14.762635605758696
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))
accuracy15.313691703515016
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
accuracy38.49513528460727
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))))
accuracy3.199202236641647
(-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y)))
accuracy13.832862911253473
(*.f64 (*.f64 x x) (*.f64 y y))
accuracy30.084654627096043
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y))) (-.f64 z (*.f64 y x))))
accuracy34.0789966299074
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y))) (-.f64 z (*.f64 y x)))
accuracy0.37109375
(*.f64 y #s(literal 1/24 binary64))
accuracy4.739124464661099
(*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
accuracy25.080581844877297
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z)))
accuracy30.69721647322095
#s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z))
accuracy0.13671875
(*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64)))
accuracy25.080581844877297
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))))
accuracy28.31523449778689
#s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))
accuracy0.0703125
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
accuracy0.140625
(*.f64 (sin.f64 y) x)
accuracy0.1875
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
accuracy0.265625
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))))
Samples
109.0ms68×2valid
76.0ms131×0valid
32.0ms39×1valid
29.0ms18×3valid
Compiler

Compiled 384 to 56 computations (85.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 209.0ms
ival-cos: 72.0ms (34.4% of total)
ival-mult: 41.0ms (19.6% of total)
adjust: 20.0ms (9.6% of total)
ival-div: 20.0ms (9.6% of total)
ival-sub: 20.0ms (9.6% of total)
ival-add: 15.0ms (7.2% of total)
ival-sin: 14.0ms (6.7% of total)
const: 4.0ms (1.9% of total)
ival-neg: 2.0ms (1% of total)
exact: 1.0ms (0.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series54.0ms (0.5%)

Memory
17.6MiB live, 98.4MiB allocated
Counts
23 → 576
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())
#s(alt (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) (patch (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64)))) (patch #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64)) (patch #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z))) (patch #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z))) #<representation binary64>) () ())
#s(alt #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z)) (patch #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z) (patch (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z) #<representation binary64>) () ())
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y))) (-.f64 z (*.f64 y x))) (patch (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y))) (-.f64 z (*.f64 y x))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y))) (patch (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y))) (-.f64 z (*.f64 y x)))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y))) (-.f64 z (*.f64 y x)))) #<representation binary64>) () ())
#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)))) (patch #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)))) #<representation binary64>) () ())
#s(alt (*.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))) (patch (*.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (patch (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) #<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 (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())
#s(alt (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (patch (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 y #s(literal 1/24 binary64)) (patch (*.f64 y #s(literal 1/24 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x x) (*.f64 y y)) (patch (*.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())
Outputs
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (cos y) (/ (* x (sin y)) z))) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (cos y) (/ (* x (sin y)) z))) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (cos y) (/ (* x (sin y)) z))) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (+ z (* x y)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (+ z (* y (+ x (* -1/2 (* y z))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (sin y) (/ (* z (cos y)) x))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (sin y) (/ (* z (cos y)) x))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (sin y) (/ (* z (cos y)) x))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (sin y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (*.f64 y y)) (patch (*.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x x) (*.f64 y y)) (patch (*.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x x) (*.f64 y y)) (patch (*.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x x) (*.f64 y y)) (patch (*.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x x) (*.f64 y y)) (patch (*.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor inf y) (#s(alt (*.f64 (*.f64 x x) (*.f64 y y)) (patch (*.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor inf y) (#s(alt (*.f64 (*.f64 x x) (*.f64 y y)) (patch (*.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor inf y) (#s(alt (*.f64 (*.f64 x x) (*.f64 y y)) (patch (*.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor inf y) (#s(alt (*.f64 (*.f64 x x) (*.f64 y y)) (patch (*.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x x) (*.f64 y y)) (patch (*.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x x) (*.f64 y y)) (patch (*.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x x) (*.f64 y y)) (patch (*.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x x) (*.f64 y y)) (patch (*.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ())
Calls

144 calls:

TimeVariablePointExpression
3.0ms
y
@inf
(* z (+ (* y (* y 1/24)) -1/2))
1.0ms
x
@0
(* x (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y)))
1.0ms
z
@0
(+ (* (* y y) (* z (+ (* y (* y 1/24)) -1/2))) z)
1.0ms
y
@inf
(* x (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y)))
1.0ms
y
@-inf
(* x (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y)))

simplify480.0ms (4.7%)

Memory
-2.2MiB live, 274.1MiB allocated
Algorithm
egg-herbie
Rules
8 316×lower-fma.f64
8 316×lower-fma.f32
7 300×lower-*.f64
7 300×lower-*.f32
3 250×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069612093
1242011612
0824210956
Stop Event
iter limit
node limit
Counts
576 → 562
Calls
Call 1
Inputs
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(/ 1 (* x (sin y)))
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y))))
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))
(/ 1 (* z (cos y)))
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z)
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z)
(/ 1 (* z (cos y)))
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(/ 1 z)
(+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))
(+ (* y (- (* y (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ x (pow z 2))) (+ (* 1/2 (/ x (pow z 2))) (/ (* x (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) z))))) (* 1/2 (/ 1 z))) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (* z (cos y)))
(+ (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y))))
(+ (* x (- (/ (* x (pow (sin y) 2)) (* (pow z 3) (pow (cos y) 3))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))
(+ (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow z 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))
(/ 1 (* x (sin y)))
(/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x)
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2)))) x)
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2))))) x)
(/ 1 (* x (sin y)))
(* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
z
(- (* x y) (* -1 z))
(- (* y (+ x (* y (- (+ (* -1 (/ (pow x 2) z)) (+ (* 1/2 z) (/ (pow x 2) z))) z)))) (* -1 z))
(- (* y (+ x (* y (- (+ (* -1 (/ (pow x 2) z)) (+ (* 1/2 z) (+ (* y (- (+ (* -1 (/ (* x (- z (+ (* 1/2 z) (/ (pow x 2) z)))) z)) (+ (* -1/6 x) (* 1/2 x))) (/ (pow x 3) (pow z 2)))) (/ (pow x 2) z)))) z)))) (* -1 z))
(- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))))
(- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))))
(- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))))
(- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))))
(- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))))
(- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))))
(- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))))
(- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(- (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))))
(- (* x (+ (* x (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (cos y)))) (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))))
(- (* x (+ (* x (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (cos y)))) (+ (* x (- (/ (* (pow (sin y) 3) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (cos y) 4))) (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (cos y) 2))))) (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))))
(* x (- (* 1/2 (/ 1 (sin y))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))
(* x (- (+ (* 1/2 (/ 1 (sin y))) (* 1/2 (/ (* z (cos y)) (* x (pow (sin y) 2))))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ (* z (* (cos y) (cos (* 2 y)))) (* x (pow (sin y) 2)))))))
(* x (- (+ (* 1/2 (/ 1 (sin y))) (+ (* 1/2 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (* 1/2 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (+ (* 1/2 (/ (* z (* (cos y) (cos (* 2 y)))) (* x (pow (sin y) 2)))) (+ (* 1/2 (/ (* (pow z 2) (* (pow (cos y) 2) (cos (* 2 y)))) (* (pow x 2) (pow (sin y) 3)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y))))))))
(* x (- (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (sin y) 2)))) (+ (* 1/2 (/ 1 (sin y))) (+ (* 1/2 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (+ (* 1/2 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (* 1/2 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))))))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (+ (* 1/2 (/ (* z (* (cos y) (cos (* 2 y)))) (* x (pow (sin y) 2)))) (+ (* 1/2 (/ (* (pow z 2) (* (pow (cos y) 2) (cos (* 2 y)))) (* (pow x 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (* (pow z 3) (* (pow (cos y) 3) (cos (* 2 y)))) (* (pow x 3) (pow (sin y) 4)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y)))))))))
(* x (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))
(* -1 (* x (- (* -1 (/ (- (* 1/2 (/ (* z (cos y)) (pow (sin y) 2))) (* 1/2 (/ (* z (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) x)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1/2 (/ (* (pow z 2) (* (pow (cos y) 2) (cos (* 2 y)))) (pow (sin y) 3))))) x)) (* 1/2 (/ (* z (cos y)) (pow (sin y) 2)))) (* 1/2 (/ (* z (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) x)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (* 1/2 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 4)))) (* 1/2 (/ (* (pow z 3) (* (pow (cos y) 3) (cos (* 2 y)))) (pow (sin y) 4)))) x)) (* -1/2 (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3)))) (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1/2 (/ (* (pow z 2) (* (pow (cos y) 2) (cos (* 2 y)))) (pow (sin y) 3))))) x)) (* 1/2 (/ (* z (cos y)) (pow (sin y) 2)))) (* 1/2 (/ (* z (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) x)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))
(/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
(+ (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))
(+ (* z (- (* -1 (* z (+ (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3)))) (+ (* 1/2 (/ 1 (* x (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* x (sin y)))))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(+ (* z (- (* z (- (* z (- (* -1 (/ (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (sin y) 2)))) (* -1 (/ (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (sin y) 4)))))) (+ (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3)))) (+ (* 1/2 (/ 1 (* x (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* x (sin y)))))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(* z (- (* 1/2 (/ 1 (cos y))) (* -1/2 (/ (cos (* 2 y)) (cos y)))))
(* z (- (+ (* -1 (/ (+ (* -1/2 (/ (* x (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (pow (cos y) 2)))) z)) (* 1/2 (/ 1 (cos y)))) (* -1/2 (/ (cos (* 2 y)) (cos y)))))
(* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (* 1/2 (/ 1 (cos y)))) (+ (* -1/2 (/ (cos (* 2 y)) (cos y))) (+ (* -1/2 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* (pow z 2) (pow (cos y) 3)))) (* -1/2 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3))))))))))
(* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (+ (* -1 (/ (+ (* -1/2 (/ (* (pow x 3) (* (cos (* 2 y)) (pow (sin y) 3))) (pow (cos y) 4))) (+ (* -1/2 (/ (* (pow x 3) (pow (sin y) 3)) (pow (cos y) 4))) (/ (* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) (pow z 3))) (* 1/2 (/ 1 (cos y))))) (+ (* -1/2 (/ (cos (* 2 y)) (cos y))) (+ (* -1/2 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* (pow z 2) (pow (cos y) 3)))) (* -1/2 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3))))))))))
(* z (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))
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(* x (sin y))
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(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
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(* x y)
(*.f64 x y)
(* y (+ x (* (pow y 2) (- (* -1/3 x) (* -1/6 x)))))
(*.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))
(* y (+ x (* (pow y 2) (- (+ (* -1/3 x) (* (pow y 2) (- (* 2/45 x) (+ (* -1/6 (- (* -1/3 x) (* -1/6 x))) (* 1/120 x))))) (* -1/6 x)))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal 2/45 binary64)) (fma.f64 x #s(literal 1/36 binary64) (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x #s(literal -1/6 binary64))) x))
(* y (+ x (* (pow y 2) (- (+ (* -1/3 x) (* (pow y 2) (- (+ (* 2/45 x) (* (pow y 2) (- (* -1/315 x) (+ (* -1/6 (- (* 2/45 x) (+ (* -1/6 (- (* -1/3 x) (* -1/6 x))) (* 1/120 x)))) (+ (* -1/5040 x) (* 1/120 (- (* -1/3 x) (* -1/6 x)))))))) (+ (* -1/6 (- (* -1/3 x) (* -1/6 x))) (* 1/120 x))))) (* -1/6 x)))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal -1/315 binary64)) (fma.f64 #s(literal -1/6 binary64) (-.f64 (*.f64 x #s(literal 2/45 binary64)) (fma.f64 x #s(literal 1/36 binary64) (*.f64 x #s(literal 1/120 binary64)))) (fma.f64 x #s(literal -1/720 binary64) (*.f64 x #s(literal -1/5040 binary64))))) (-.f64 (*.f64 x #s(literal 2/45 binary64)) (fma.f64 x #s(literal 1/36 binary64) (*.f64 x #s(literal 1/120 binary64))))) (*.f64 x #s(literal -1/6 binary64))) x))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (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))) (sin.f64 y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (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))) (sin.f64 y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (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))) (sin.f64 y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (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))) (sin.f64 y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (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))) (sin.f64 y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (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))) (sin.f64 y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (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))) (sin.f64 y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (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))) (sin.f64 y))
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 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) 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 (*.f64 y y) y) y)
(/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin 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))
(/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin 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))
(/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin 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))
(/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin 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))
(/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin 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))
(/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin 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))
(/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin 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))
(/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin 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))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/315 binary64) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(* x y)
(*.f64 x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 y y)))) x))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 x #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 y y))))) (*.f64 x #s(literal -1/6 binary64))) x))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* z (- (* 1/24 (pow y 2)) 1/2))
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(* z (- (* 1/24 (pow y 2)) 1/2))
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(* z (- (* 1/24 (pow y 2)) 1/2))
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(* z (- (* 1/24 (pow y 2)) 1/2))
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(* z (- (* 1/24 (pow y 2)) 1/2))
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(* z (- (* 1/24 (pow y 2)) 1/2))
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(* z (- (* 1/24 (pow y 2)) 1/2))
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(* z (- (* 1/24 (pow y 2)) 1/2))
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(* z (- (* 1/24 (pow y 2)) 1/2))
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(* z (- (* 1/24 (pow y 2)) 1/2))
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(* z (- (* 1/24 (pow y 2)) 1/2))
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(* z (- (* 1/24 (pow y 2)) 1/2))
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(* -1/2 z)
(*.f64 z #s(literal -1/2 binary64))
(+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(* 1/24 (* (pow y 2) z))
(*.f64 y (*.f64 y (*.f64 z #s(literal 1/24 binary64))))
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(*.f64 y (*.f64 y (fma.f64 z #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 z (*.f64 y y))))))
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(*.f64 y (*.f64 y (fma.f64 z #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 z (*.f64 y y))))))
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(*.f64 y (*.f64 y (fma.f64 z #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 z (*.f64 y y))))))
(* 1/24 (* (pow y 2) z))
(*.f64 y (*.f64 y (*.f64 z #s(literal 1/24 binary64))))
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(*.f64 y (*.f64 y (fma.f64 z #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 z (*.f64 y y))))))
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(*.f64 y (*.f64 y (fma.f64 z #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 z (*.f64 y y))))))
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(*.f64 y (*.f64 y (fma.f64 z #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 z (*.f64 y y))))))
(* 1/24 y)
(*.f64 y #s(literal 1/24 binary64))
(* 1/24 y)
(*.f64 y #s(literal 1/24 binary64))
(* 1/24 y)
(*.f64 y #s(literal 1/24 binary64))
(* 1/24 y)
(*.f64 y #s(literal 1/24 binary64))
(* 1/24 y)
(*.f64 y #s(literal 1/24 binary64))
(* 1/24 y)
(*.f64 y #s(literal 1/24 binary64))
(* 1/24 y)
(*.f64 y #s(literal 1/24 binary64))
(* 1/24 y)
(*.f64 y #s(literal 1/24 binary64))
(* 1/24 y)
(*.f64 y #s(literal 1/24 binary64))
(* 1/24 y)
(*.f64 y #s(literal 1/24 binary64))
(* 1/24 y)
(*.f64 y #s(literal 1/24 binary64))
(* 1/24 y)
(*.f64 y #s(literal 1/24 binary64))
(* (pow x 2) (pow y 2))
(*.f64 x (*.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(*.f64 x (*.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(*.f64 x (*.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(*.f64 x (*.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(*.f64 x (*.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(*.f64 x (*.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(*.f64 x (*.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(*.f64 x (*.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(*.f64 x (*.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(*.f64 x (*.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(*.f64 x (*.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(*.f64 x (*.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(*.f64 x (*.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(*.f64 x (*.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(*.f64 x (*.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(*.f64 x (*.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(*.f64 x (*.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(*.f64 x (*.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(*.f64 x (*.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(*.f64 x (*.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(*.f64 x (*.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(*.f64 x (*.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(*.f64 x (*.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(*.f64 x (*.f64 x (*.f64 y y)))

rewrite576.0ms (5.7%)

Memory
-19.0MiB live, 268.3MiB allocated
Rules
5 870×lower-fma.f32
5 862×lower-fma.f64
4 800×lower-*.f32
4 778×lower-*.f64
4 698×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064422
091414
1383275
22998275
09900268
Stop Event
iter limit
node limit
iter limit
Counts
23 → 639
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(cos.f64 y)
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))))
(*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64)))
#s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z)))
#s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z))
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z)
(*.f64 y y)
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y))) (-.f64 z (*.f64 y x)))
(-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y))) (-.f64 z (*.f64 y x))))
(*.f64 z z)
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))))
(*.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(*.f64 (sin.f64 y) x)
(*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(*.f64 y #s(literal 1/24 binary64))
(*.f64 (*.f64 x x) (*.f64 y y))
Outputs
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))
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(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64))))))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/4 binary64)))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/4 binary64))))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64))))
(+.f64 (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64)))) (-.f64 (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64)))) (/.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 z #s(literal -1/2 binary64))) (-.f64 (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64)))))
(fma.f64 z #s(literal -1/2 binary64) (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64))))
(fma.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 z #s(literal -1/2 binary64)))
(fma.f64 y (*.f64 (*.f64 y #s(literal 1/24 binary64)) z) (*.f64 z #s(literal -1/2 binary64)))
(fma.f64 (*.f64 y y) (*.f64 #s(literal 1/24 binary64) z) (*.f64 z #s(literal -1/2 binary64)))
(fma.f64 (*.f64 y #s(literal 1/24 binary64)) (*.f64 y z) (*.f64 z #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) z (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64))))
(fma.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z (*.f64 z #s(literal -1/2 binary64)))
(fma.f64 (*.f64 z (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 z #s(literal -1/2 binary64)))
(fma.f64 (*.f64 z y) (*.f64 y #s(literal 1/24 binary64)) (*.f64 z #s(literal -1/2 binary64)))
(fma.f64 (*.f64 z (*.f64 y #s(literal 1/24 binary64))) y (*.f64 z #s(literal -1/2 binary64)))
(/.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/13824 binary64))) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64))) (fma.f64 (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) (-.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 z #s(literal -1/2 binary64))) (*.f64 (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64)))) (*.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 z #s(literal -1/2 binary64)))) (-.f64 (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))))
(/.f64 (*.f64 z (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64))) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal -1/48 binary64)))))
(/.f64 (*.f64 z (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/576 binary64) #s(literal -1/4 binary64))) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64)) z) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal -1/48 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/576 binary64) #s(literal -1/4 binary64)) z) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/13824 binary64))) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64)))) (neg.f64 (fma.f64 (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) (-.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 z #s(literal -1/2 binary64))) (*.f64 (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64)))) (*.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 z #s(literal -1/2 binary64))))) (neg.f64 (-.f64 (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (*.f64 z (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal -1/48 binary64))))))
(/.f64 (neg.f64 (*.f64 z (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/576 binary64) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64)) z)) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal -1/48 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/576 binary64) #s(literal -1/4 binary64)) z)) (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/13824 binary64))))) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 z #s(literal -1/2 binary64)) (-.f64 (*.f64 (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64)))) (*.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64)))))))
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z)
(*.f64 y #s(literal 1/24 binary64))
(*.f64 #s(literal 1/24 binary64) y)
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(pow.f64 (*.f64 y (neg.f64 x)) #s(literal 2 binary64))
(*.f64 y (*.f64 y (*.f64 x x)))
(*.f64 x (*.f64 x (*.f64 y y)))
(*.f64 x (*.f64 y (*.f64 y x)))
(*.f64 (*.f64 y y) (*.f64 x x))
(*.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (*.f64 y x) (*.f64 y x))
(*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x)))
(*.f64 (*.f64 y (*.f64 x x)) y)
(*.f64 (*.f64 x (*.f64 y y)) x)
(*.f64 (*.f64 (*.f64 y x) x) y)

eval209.0ms (2.1%)

Memory
29.0MiB live, 182.9MiB allocated
Compiler

Compiled 40 453 to 2 242 computations (94.5% saved)

prune444.0ms (4.4%)

Memory
-31.0MiB live, 382.6MiB allocated
Pruning

49 alts after pruning (39 fresh and 10 done)

PrunedKeptTotal
New1 196231 219
Fresh151631
Picked235
Done077
Total1 213491 262
Accuracy
100.0%
Counts
1 262 → 49
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.4%
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #s(approx (/ (* z z) (- (* x (sin y)) (* z (cos y)))) (neg.f64 z)))))
49.9%
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #s(approx (/ (* x x) (- (* x (sin y)) (* z (cos y)))) (/.f64 x (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) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
99.8%
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
75.6%
(fma.f64 (sin.f64 y) x (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
99.8%
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
51.9%
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
51.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* (sin y) x)) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))))
60.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* (sin y) x)) (*.f64 z (cos.f64 y)))))
39.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* (sin y) x)) (*.f64 x (sin.f64 y)))))
38.5%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* (sin y) x))) (/.f64 #s(literal 1 binary64) z)))
42.9%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
30.5%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #s(approx (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))) (*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))))
51.6%
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))
93.1%
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
88.6%
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
37.9%
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (fma.f64 y (fma.f64 y (-.f64 (-.f64 (fma.f64 z #s(literal 1/2 binary64) (/.f64 (*.f64 x x) z)) (/.f64 (*.f64 x x) z)) z) x) z))
60.5%
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
25.5%
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (/.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 y)))
60.5%
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y))))
60.4%
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z (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)))))
36.3%
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
36.3%
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
38.6%
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))))
25.3%
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 x (/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) (*.f64 (sin.f64 y) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))))))
25.5%
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
17.9%
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 x #s(approx (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y)) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y))))
36.7%
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z)))
36.3%
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) #s(approx (* z (+ (* y (* y 1/24)) -1/2)) (*.f64 y (*.f64 y (*.f64 z #s(literal 1/24 binary64))))) z)))
36.3%
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) z)))
17.9%
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* x (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y))) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal 2/45 binary64)) (fma.f64 x #s(literal 1/36 binary64) (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x #s(literal -1/6 binary64))) x))))
17.9%
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* x (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y))) (*.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))))
39.8%
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x (sin.f64 y)))
17.9%
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (* x (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) x))))
39.8%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 z (/.f64 z (-.f64 z (*.f64 y x))) (neg.f64 (*.f64 (*.f64 y y) (/.f64 (*.f64 x x) (-.f64 z (*.f64 y x)))))))
53.0%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
23.6%
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 (*.f64 (neg.f64 (*.f64 x x)) y) y (*.f64 z z)) (-.f64 z (*.f64 y x))))
22.3%
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y))) (-.f64 z (*.f64 y x))))
10.7%
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (- (* z z) (* (* x x) (* y y))) (*.f64 (*.f64 y y) (-.f64 (/.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) (-.f64 z (*.f64 y x))))
19.0%
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (- (* z z) (* (* x x) (* y y))) (*.f64 z z)) (-.f64 z (*.f64 y x))))
9.8%
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (- (* z z) (* (* x x) (* y y))) (neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))) (-.f64 z (*.f64 y x))))
17.8%
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y x) z) (*.f64 x y)))))
29.0%
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (-.f64 (*.f64 y x) z))))
13.1%
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x (*.f64 y y)))) x))))
37.5%
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) z))))
60.7%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
52.9%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ (- (* z z) (* (* x x) (* y y))) (- z (* y x))) (fma.f64 x (*.f64 (/.f64 y z) z) z)))
42.7%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ (- (* z z) (* (* x x) (* y y))) (- z (* y x))) (*.f64 y (+.f64 x (/.f64 z y)))))
51.3%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 z (*.f64 x (/.f64 y z)) z)))
17.8%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
Compiler

Compiled 2 440 to 782 computations (68% saved)

regimes113.0ms (1.1%)

Memory
39.9MiB live, 265.5MiB allocated
Counts
89 → 1
Calls
Call 1
Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z))
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (* y x) z))) (*.f64 y (+.f64 x (/.f64 z y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ (- (* z z) (* (* x x) (* y y))) (- z (* y x))) (*.f64 y (+.f64 x (/.f64 z y)))))
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (* x (sin y)) (*.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* x (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y))) (*.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 z (*.f64 x (/.f64 y z)) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ (- (* z z) (* (* x x) (* y y))) (- z (* y x))) (fma.f64 x (*.f64 (/.f64 y z) z) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (/.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* (sin y) x))) (/.f64 #s(literal 1 binary64) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (- (* z z) (* (* x x) (* y y))) (*.f64 z z)) (-.f64 z (*.f64 y x))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) #s(approx (* z (+ (* y (* y 1/24)) -1/2)) (*.f64 y (*.f64 y (*.f64 z #s(literal 1/24 binary64))))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y x) z) (*.f64 x y)))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z))
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 x #s(approx (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y)) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (- (* z z) (* (* x x) (* y y))) (neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))) (-.f64 z (*.f64 y x))))
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (* x (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 y x) z)))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* (sin y) x)) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 z (*.f64 y x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y))) (-.f64 z (*.f64 y x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 (*.f64 (neg.f64 (*.f64 x x)) y) y (*.f64 z z)) (-.f64 z (*.f64 y x))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* x (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y))) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal 2/45 binary64)) (fma.f64 x #s(literal 1/36 binary64) (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x #s(literal -1/6 binary64))) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (-.f64 (*.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 z (*.f64 x (*.f64 x (*.f64 y y))))))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (fma.f64 y (fma.f64 y (-.f64 (-.f64 (fma.f64 z #s(literal 1/2 binary64) (/.f64 (*.f64 x x) z)) (/.f64 (*.f64 x x) z)) z) x) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x (*.f64 y y)))) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (- (* z z) (* (* x x) (* y y))) (*.f64 (*.f64 y y) (-.f64 (/.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) (-.f64 z (*.f64 y x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 z (/.f64 z (-.f64 z (*.f64 y x))) (neg.f64 (*.f64 (*.f64 y y) (/.f64 (*.f64 x x) (-.f64 z (*.f64 y x)))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x (sin.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* (sin y) x)) (*.f64 x (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* (sin y) x)) (*.f64 z (cos.f64 y)))))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 x (/.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)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (/.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 y)))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (/.f64 (*.f64 z (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)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z (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)))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #s(approx (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))) (*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 x (/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) (*.f64 (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 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #s(approx (/ (* z z) (- (* x (sin y)) (* z (cos y)))) (neg.f64 z)))))
(/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #s(approx (/ (* x x) (- (* x (sin y)) (* z (cos y)))) (/.f64 x (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) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #s(approx (/ (* z z) (- (* x (sin y)) (* z (cos y)))) (neg.f64 (/.f64 z (cos.f64 y)))))))
(fma.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 x)) (*.f64 z (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))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) z) (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)) z)))
(fma.f64 (*.f64 x (*.f64 x (sin.f64 y))) (/.f64 (sin.f64 y) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (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))))) (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
Outputs
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
Calls

4 calls:

29.0ms
z
27.0ms
y
27.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
25.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes76.0ms (0.7%)

Memory
7.7MiB live, 160.3MiB allocated
Counts
56 → 1
Calls
Call 1
Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z))
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (* y x) z))) (*.f64 y (+.f64 x (/.f64 z y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ (- (* z z) (* (* x x) (* y y))) (- z (* y x))) (*.f64 y (+.f64 x (/.f64 z y)))))
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (* x (sin y)) (*.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* x (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y))) (*.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 z (*.f64 x (/.f64 y z)) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ (- (* z z) (* (* x x) (* y y))) (- z (* y x))) (fma.f64 x (*.f64 (/.f64 y z) z) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (/.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* (sin y) x))) (/.f64 #s(literal 1 binary64) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (- (* z z) (* (* x x) (* y y))) (*.f64 z z)) (-.f64 z (*.f64 y x))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) #s(approx (* z (+ (* y (* y 1/24)) -1/2)) (*.f64 y (*.f64 y (*.f64 z #s(literal 1/24 binary64))))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y x) z) (*.f64 x y)))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z))
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 x #s(approx (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y)) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (- (* z z) (* (* x x) (* y y))) (neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))) (-.f64 z (*.f64 y x))))
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (* x (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 y x) z)))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* (sin y) x)) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 z (*.f64 y x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y))) (-.f64 z (*.f64 y x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 (*.f64 (neg.f64 (*.f64 x x)) y) y (*.f64 z z)) (-.f64 z (*.f64 y x))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* x (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y))) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal 2/45 binary64)) (fma.f64 x #s(literal 1/36 binary64) (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x #s(literal -1/6 binary64))) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (-.f64 (*.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 z (*.f64 x (*.f64 x (*.f64 y y))))))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (fma.f64 y (fma.f64 y (-.f64 (-.f64 (fma.f64 z #s(literal 1/2 binary64) (/.f64 (*.f64 x x) z)) (/.f64 (*.f64 x x) z)) z) x) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x (*.f64 y y)))) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (- (* z z) (* (* x x) (* y y))) (*.f64 (*.f64 y y) (-.f64 (/.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) (-.f64 z (*.f64 y x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 z (/.f64 z (-.f64 z (*.f64 y x))) (neg.f64 (*.f64 (*.f64 y y) (/.f64 (*.f64 x x) (-.f64 z (*.f64 y x)))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x (sin.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* (sin y) x)) (*.f64 x (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* (sin y) x)) (*.f64 z (cos.f64 y)))))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
Outputs
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
Calls

4 calls:

17.0ms
z
17.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
17.0ms
y
15.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes89.0ms (0.9%)

Memory
-39.3MiB live, 166.7MiB allocated
Counts
54 → 3
Calls
Call 1
Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z))
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (* y x) z))) (*.f64 y (+.f64 x (/.f64 z y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ (- (* z z) (* (* x x) (* y y))) (- z (* y x))) (*.f64 y (+.f64 x (/.f64 z y)))))
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (* x (sin y)) (*.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* x (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y))) (*.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 z (*.f64 x (/.f64 y z)) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ (- (* z z) (* (* x x) (* y y))) (- z (* y x))) (fma.f64 x (*.f64 (/.f64 y z) z) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (/.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* (sin y) x))) (/.f64 #s(literal 1 binary64) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (- (* z z) (* (* x x) (* y y))) (*.f64 z z)) (-.f64 z (*.f64 y x))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) #s(approx (* z (+ (* y (* y 1/24)) -1/2)) (*.f64 y (*.f64 y (*.f64 z #s(literal 1/24 binary64))))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y x) z) (*.f64 x y)))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z))
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 x #s(approx (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y)) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (- (* z z) (* (* x x) (* y y))) (neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))) (-.f64 z (*.f64 y x))))
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (* x (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 y x) z)))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* (sin y) x)) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 z (*.f64 y x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y))) (-.f64 z (*.f64 y x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 (*.f64 (neg.f64 (*.f64 x x)) y) y (*.f64 z z)) (-.f64 z (*.f64 y x))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* x (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y))) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal 2/45 binary64)) (fma.f64 x #s(literal 1/36 binary64) (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x #s(literal -1/6 binary64))) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (-.f64 (*.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 z (*.f64 x (*.f64 x (*.f64 y y))))))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (fma.f64 y (fma.f64 y (-.f64 (-.f64 (fma.f64 z #s(literal 1/2 binary64) (/.f64 (*.f64 x x) z)) (/.f64 (*.f64 x x) z)) z) x) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x (*.f64 y y)))) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (- (* z z) (* (* x x) (* y y))) (*.f64 (*.f64 y y) (-.f64 (/.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) (-.f64 z (*.f64 y x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 z (/.f64 z (-.f64 z (*.f64 y x))) (neg.f64 (*.f64 (*.f64 y y) (/.f64 (*.f64 x x) (-.f64 z (*.f64 y x)))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x (sin.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* (sin y) x)) (*.f64 x (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* (sin y) x)) (*.f64 z (cos.f64 y)))))
Outputs
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
Calls

4 calls:

25.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
16.0ms
z
15.0ms
y
14.0ms
x
Results
AccuracySegmentsBranch
85.5%3x
82.6%4y
88.2%3z
75.6%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes46.0ms (0.5%)

Memory
27.1MiB live, 105.9MiB allocated
Counts
51 → 6
Calls
Call 1
Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z))
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (* y x) z))) (*.f64 y (+.f64 x (/.f64 z y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ (- (* z z) (* (* x x) (* y y))) (- z (* y x))) (*.f64 y (+.f64 x (/.f64 z y)))))
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (* x (sin y)) (*.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* x (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y))) (*.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 z (*.f64 x (/.f64 y z)) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ (- (* z z) (* (* x x) (* y y))) (- z (* y x))) (fma.f64 x (*.f64 (/.f64 y z) z) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (/.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* (sin y) x))) (/.f64 #s(literal 1 binary64) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (- (* z z) (* (* x x) (* y y))) (*.f64 z z)) (-.f64 z (*.f64 y x))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) #s(approx (* z (+ (* y (* y 1/24)) -1/2)) (*.f64 y (*.f64 y (*.f64 z #s(literal 1/24 binary64))))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y x) z) (*.f64 x y)))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z))
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 x #s(approx (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y)) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (- (* z z) (* (* x x) (* y y))) (neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))) (-.f64 z (*.f64 y x))))
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (* x (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 y x) z)))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* (sin y) x)) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 z (*.f64 y x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y))) (-.f64 z (*.f64 y x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 (*.f64 (neg.f64 (*.f64 x x)) y) y (*.f64 z z)) (-.f64 z (*.f64 y x))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* x (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y))) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal 2/45 binary64)) (fma.f64 x #s(literal 1/36 binary64) (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x #s(literal -1/6 binary64))) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (-.f64 (*.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 z (*.f64 x (*.f64 x (*.f64 y y))))))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (fma.f64 y (fma.f64 y (-.f64 (-.f64 (fma.f64 z #s(literal 1/2 binary64) (/.f64 (*.f64 x x) z)) (/.f64 (*.f64 x x) z)) z) x) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x (*.f64 y y)))) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (- (* z z) (* (* x x) (* y y))) (*.f64 (*.f64 y y) (-.f64 (/.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) (-.f64 z (*.f64 y x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 z (/.f64 z (-.f64 z (*.f64 y x))) (neg.f64 (*.f64 (*.f64 y y) (/.f64 (*.f64 x x) (-.f64 z (*.f64 y x)))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x (sin.f64 y)))
Outputs
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
Calls

3 calls:

15.0ms
x
14.0ms
y
14.0ms
z
Results
AccuracySegmentsBranch
84.2%6y
77.2%3x
76.0%5z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes46.0ms (0.5%)

Memory
-3.5MiB live, 116.2MiB allocated
Counts
49 → 3
Calls
Call 1
Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z))
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (* y x) z))) (*.f64 y (+.f64 x (/.f64 z y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ (- (* z z) (* (* x x) (* y y))) (- z (* y x))) (*.f64 y (+.f64 x (/.f64 z y)))))
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (* x (sin y)) (*.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* x (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y))) (*.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 z (*.f64 x (/.f64 y z)) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ (- (* z z) (* (* x x) (* y y))) (- z (* y x))) (fma.f64 x (*.f64 (/.f64 y z) z) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (/.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* (sin y) x))) (/.f64 #s(literal 1 binary64) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (- (* z z) (* (* x x) (* y y))) (*.f64 z z)) (-.f64 z (*.f64 y x))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) #s(approx (* z (+ (* y (* y 1/24)) -1/2)) (*.f64 y (*.f64 y (*.f64 z #s(literal 1/24 binary64))))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y x) z) (*.f64 x y)))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z))
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 x #s(approx (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y)) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (- (* z z) (* (* x x) (* y y))) (neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))) (-.f64 z (*.f64 y x))))
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (* x (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 y x) z)))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* (sin y) x)) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 z (*.f64 y x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y))) (-.f64 z (*.f64 y x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 (*.f64 (neg.f64 (*.f64 x x)) y) y (*.f64 z z)) (-.f64 z (*.f64 y x))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* x (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y))) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal 2/45 binary64)) (fma.f64 x #s(literal 1/36 binary64) (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x #s(literal -1/6 binary64))) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (-.f64 (*.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 z (*.f64 x (*.f64 x (*.f64 y y))))))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (fma.f64 y (fma.f64 y (-.f64 (-.f64 (fma.f64 z #s(literal 1/2 binary64) (/.f64 (*.f64 x x) z)) (/.f64 (*.f64 x x) z)) z) x) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x (*.f64 y y)))) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (- (* z z) (* (* x x) (* y y))) (*.f64 (*.f64 y y) (-.f64 (/.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) (-.f64 z (*.f64 y x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 z (/.f64 z (-.f64 z (*.f64 y x))) (neg.f64 (*.f64 (*.f64 y y) (/.f64 (*.f64 x x) (-.f64 z (*.f64 y x)))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))
Outputs
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))
Calls

3 calls:

15.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
14.0ms
y
14.0ms
x
Results
AccuracySegmentsBranch
61.4%3x
53.0%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
73.8%3y
Compiler

Compiled 20 to 14 computations (30% saved)

regimes58.0ms (0.6%)

Memory
-7.4MiB live, 152.8MiB allocated
Counts
48 → 1
Calls
Call 1
Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z))
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (* y x) z))) (*.f64 y (+.f64 x (/.f64 z y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ (- (* z z) (* (* x x) (* y y))) (- z (* y x))) (*.f64 y (+.f64 x (/.f64 z y)))))
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (* x (sin y)) (*.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* x (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y))) (*.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 z (*.f64 x (/.f64 y z)) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ (- (* z z) (* (* x x) (* y y))) (- z (* y x))) (fma.f64 x (*.f64 (/.f64 y z) z) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (/.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* (sin y) x))) (/.f64 #s(literal 1 binary64) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (- (* z z) (* (* x x) (* y y))) (*.f64 z z)) (-.f64 z (*.f64 y x))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) #s(approx (* z (+ (* y (* y 1/24)) -1/2)) (*.f64 y (*.f64 y (*.f64 z #s(literal 1/24 binary64))))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y x) z) (*.f64 x y)))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z))
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 x #s(approx (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y)) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (- (* z z) (* (* x x) (* y y))) (neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))) (-.f64 z (*.f64 y x))))
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (* x (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 y x) z)))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* (sin y) x)) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 z (*.f64 y x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) (*.f64 y y))) (-.f64 z (*.f64 y x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 (*.f64 (neg.f64 (*.f64 x x)) y) y (*.f64 z z)) (-.f64 z (*.f64 y x))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* x (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y))) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal 2/45 binary64)) (fma.f64 x #s(literal 1/36 binary64) (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x #s(literal -1/6 binary64))) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (-.f64 (*.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 z (*.f64 x (*.f64 x (*.f64 y y))))))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (fma.f64 y (fma.f64 y (-.f64 (-.f64 (fma.f64 z #s(literal 1/2 binary64) (/.f64 (*.f64 x x) z)) (/.f64 (*.f64 x x) z)) z) x) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y x) z)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x (*.f64 y y)))) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (- (* z z) (* (* x x) (* y y))) (*.f64 (*.f64 y y) (-.f64 (/.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) (-.f64 z (*.f64 y x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 z (/.f64 z (-.f64 z (*.f64 y x))) (neg.f64 (*.f64 (*.f64 y y) (/.f64 (*.f64 x x) (-.f64 z (*.f64 y x)))))))
Outputs
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
Calls

4 calls:

14.0ms
x
14.0ms
z
14.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
13.0ms
y
Results
AccuracySegmentsBranch
53.0%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
53.0%1x
53.0%1z
53.0%1y
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes9.0ms (0.1%)

Memory
-15.2MiB live, 24.3MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 z #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))))
Outputs
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
Calls

4 calls:

3.0ms
z
2.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
38.6%1z
42.9%2x
38.6%1y
38.6%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0.1%)

Memory
19.4MiB live, 19.4MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

4 calls:

1.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
1.0ms
z
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
17.8%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
17.8%1y
17.8%1z
17.8%1x
Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch39.0ms (0.4%)

Memory
4.5MiB live, 85.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
4.148690956701021e+35
5.687158243620966e+44
18.0ms
-1.413259783988794e+68
-1.2339331286479441e+61
Samples
25.0ms288×0valid
Compiler

Compiled 393 to 266 computations (32.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-sin: 8.0ms (43.4% of total)
ival-cos: 5.0ms (27.1% of total)
ival-mult: 4.0ms (21.7% of total)
ival-add: 1.0ms (5.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch75.0ms (0.7%)

Memory
-10.5MiB live, 156.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
2.694063993078634e+245
1.5433640535419933e+247
17.0ms
5.852033962628426e+86
8.816617161816984e+88
10.0ms
5.740226510200034e-5
0.0005601324711536484
11.0ms
-0.1106933055515089
-0.0009156571932688285
15.0ms
-3.08288609779251e+218
-2.0854726339386116e+217
Samples
50.0ms528×0valid
Compiler

Compiled 739 to 475 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-sin: 16.0ms (42.4% of total)
ival-cos: 11.0ms (29.1% of total)
ival-mult: 7.0ms (18.5% of total)
ival-add: 2.0ms (5.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch32.0ms (0.3%)

Memory
-7.1MiB live, 71.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
6963.453559250493
32074.877261993322
15.0ms
-252345010879.4485
-21874961662.622513
Samples
23.0ms192×0valid
Compiler

Compiled 351 to 218 computations (37.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-sin: 8.0ms (44.6% of total)
ival-cos: 7.0ms (39% of total)
ival-mult: 2.0ms (11.1% of total)
ival-add: 1.0ms (5.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch23.0ms (0.2%)

Memory
-11.3MiB live, 28.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
22.0ms
1.648150139870523e+147
4.156073245750452e+149
Samples
18.0ms112×0valid
Compiler

Compiled 141 to 91 computations (35.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 10.0ms (64.4% of total)
ival-sin: 3.0ms (19.3% of total)
ival-cos: 2.0ms (12.9% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify8.0ms (0.1%)

Memory
18.6MiB live, 18.6MiB allocated
Algorithm
egg-herbie
Rules
12×*-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066308
175308
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(if (<=.f64 z #s(literal -149999999999999999544308758090902235335976598899487192876318720 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 149999999999999991258606410644134081593344 binary64)) (fma.f64 (sin.f64 y) x (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))
(if (<=.f64 y #s(literal -85000000000000002127011698349650284921157103560923165287659759517961420526671553312934910389290223589252106792613267332954997648524190262209155384091457967809936676793406006893302788198847376175653872732866734041595904 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) (if (<=.f64 y #s(literal -1224979098644775/144115188075855872 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 y #s(literal 5072854620270127/9223372036854775808 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z)) (if (<=.f64 y #s(literal 46000000000000003433710519327269674398524322352584313707259685077965254820562507451596800 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 y #s(literal 820000000000000009665019749440014172830432568241554631379894671020677508125018173675839513297291895066125637543853964397215492821170794428929747248825707263320045754672559932394871230320040747071232555239310296845429792394503922884345963609063424 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))))))
(if (<=.f64 y #s(literal -22000000000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) (if (<=.f64 y #s(literal 7000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
(if (<=.f64 x #s(literal 52000000000000000275418768484055537171118904533584512359612951330819811327199134880886264166489865722894845882927392014243898492188648388993688272896 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
Outputs
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(if (<=.f64 z #s(literal -149999999999999999544308758090902235335976598899487192876318720 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 149999999999999991258606410644134081593344 binary64)) (fma.f64 (sin.f64 y) x (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))
(if (<=.f64 y #s(literal -85000000000000002127011698349650284921157103560923165287659759517961420526671553312934910389290223589252106792613267332954997648524190262209155384091457967809936676793406006893302788198847376175653872732866734041595904 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) (if (<=.f64 y #s(literal -1224979098644775/144115188075855872 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 y #s(literal 5072854620270127/9223372036854775808 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z)) (if (<=.f64 y #s(literal 46000000000000003433710519327269674398524322352584313707259685077965254820562507451596800 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 y #s(literal 820000000000000009665019749440014172830432568241554631379894671020677508125018173675839513297291895066125637543853964397215492821170794428929747248825707263320045754672559932394871230320040747071232555239310296845429792394503922884345963609063424 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))))))
(if (<=.f64 y #s(literal -85000000000000002127011698349650284921157103560923165287659759517961420526671553312934910389290223589252106792613267332954997648524190262209155384091457967809936676793406006893302788198847376175653872732866734041595904 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal -1224979098644775/144115188075855872 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 y #s(literal 5072854620270127/9223372036854775808 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z)) (if (<=.f64 y #s(literal 46000000000000003433710519327269674398524322352584313707259685077965254820562507451596800 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 y #s(literal 820000000000000009665019749440014172830432568241554631379894671020677508125018173675839513297291895066125637543853964397215492821170794428929747248825707263320045754672559932394871230320040747071232555239310296845429792394503922884345963609063424 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))))))
(if (<=.f64 y #s(literal -22000000000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) (if (<=.f64 y #s(literal 7000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))))
(if (<=.f64 y #s(literal -22000000000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal 7000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
(if (<=.f64 x #s(literal 52000000000000000275418768484055537171118904533584512359612951330819811327199134880886264166489865722894845882927392014243898492188648388993688272896 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))))
(if (<=.f64 x #s(literal 52000000000000000275418768484055537171118904533584512359612951330819811327199134880886264166489865722894845882927392014243898492188648388993688272896 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))

soundness842.0ms (8.3%)

Memory
-8.6MiB live, 638.0MiB allocated
Rules
14 960×lower-fma.f64
14 960×lower-fma.f32
11 480×lower-fma.f64
11 480×lower-fma.f32
7 068×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0111310561
1403210383
086939827
096626
1316622
2937612
32505606
44416606
57325606
08407556
0819
01319
12919
218519
3183619
0839118
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 335 to 153 computations (54.3% saved)

preprocess78.0ms (0.8%)

Memory
2.9MiB live, 155.4MiB allocated
Compiler

Compiled 348 to 118 computations (66.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...