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

Time bar (total: 9.4s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

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

Compiled 11 to 10 computations (9.1% saved)

sample1.2s (13%)

Memory
8.6MiB live, 1 516.0MiB allocated
Samples
951.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 739.0ms
ival-sin: 301.0ms (40.7% of total)
ival-cos: 218.0ms (29.5% of total)
ival-mult: 153.0ms (20.7% of total)
ival-add: 58.0ms (7.8% of total)
ival-true: 6.0ms (0.8% of total)
ival-assert: 4.0ms (0.5% of total)
Bogosity

explain157.0ms (1.7%)

Memory
-14.6MiB live, 140.3MiB 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
63.0ms512×0valid
Compiler

Compiled 64 to 28 computations (56.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-sin: 11.0ms (35.6% of total)
ival-cos: 10.0ms (32.4% of total)
ival-mult: 7.0ms (22.7% of total)
ival-add: 2.0ms (6.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess45.0ms (0.5%)

Memory
18.0MiB live, 55.0MiB 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 (cos.f64 y) z (*.f64 (sin.f64 y) x))
Compiler

Compiled 12 to 8 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB 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
6.3MiB live, 6.3MiB 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 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
x
(sin.f64 y)
y
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
z
(cos.f64 y)

localize53.0ms (0.6%)

Memory
-14.8MiB live, 58.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(cos.f64 y)
accuracy0.0078125
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
accuracy0.12890625
(*.f64 z (cos.f64 y))
accuracy0.1484375
(*.f64 x (sin.f64 y))
Samples
26.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-cos: 8.0ms (43.7% of total)
ival-sin: 6.0ms (32.7% of total)
ival-mult: 3.0ms (16.4% of total)
ival-add: 1.0ms (5.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
11.1MiB live, 11.1MiB allocated
Counts
5 → 108
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>) () ())
#s(alt (cos.f64 y) (patch (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>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow y 2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
Calls

27 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)))

simplify195.0ms (2.1%)

Memory
-5.0MiB live, 202.2MiB allocated
Algorithm
egg-herbie
Rules
12 858×lower-fma.f64
12 858×lower-fma.f32
4 718×lower-*.f64
4 718×lower-*.f32
2 178×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109682
1344678
2991668
32652662
44669662
56964662
08196606
Stop Event
iter limit
node limit
Counts
108 → 105
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))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
Outputs
(* z (cos y))
(*.f64 (cos.f64 y) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x y)
(*.f64 x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(*.f64 (fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x) y)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)
(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 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
z
(+ z (* -1/2 (* (pow y 2) z)))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(*.f64 z (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(*.f64 z (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(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)

rewrite209.0ms (2.2%)

Memory
37.2MiB live, 337.6MiB 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
0821
01321
12921
218521
3183621
0839120
Stop Event
iter limit
node limit
iter limit
Counts
5 → 177
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))
(cos.f64 y)
Outputs
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(-.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) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) #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) (fma.f64 (neg.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) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))) (/.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) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) #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) (fma.f64 (neg.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) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))))
(-.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) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) #s(literal 3 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) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) #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) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) #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) (fma.f64 (neg.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) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))))) (/.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) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) #s(literal 3 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) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) #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) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) #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) (fma.f64 (neg.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) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))))))
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(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64))))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64)) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z))) (neg.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))))) (neg.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64)) (fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)))) (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))
(-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (fma.f64 (neg.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) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(-.f64 (*.f64 (sin.f64 y) x) (*.f64 (neg.f64 z) (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) #s(literal -1 binary64)))
(+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))
(+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (sin.f64 y))))
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 x)))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (sin.f64 y) #s(literal 1 binary64)))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) x)))
(sin.f64 y)
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (cos.f64 y))))
(*.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 z)))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (cos.f64 y)))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 1 binary64))
(neg.f64 (*.f64 (neg.f64 z) (cos.f64 y)))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) z)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(cos.f64 y)

eval37.0ms (0.4%)

Memory
-13.7MiB live, 96.3MiB allocated
Compiler

Compiled 10 212 to 554 computations (94.6% saved)

prune84.0ms (0.9%)

Memory
-7.7MiB live, 116.1MiB allocated
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New26616282
Fresh000
Picked101
Done000
Total26716283
Accuracy
99.9%
Counts
283 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.0%
(fma.f64 (*.f64 (*.f64 (sin.f64 y) x) x) (/.f64 (sin.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))))
99.8%
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
59.6%
(fma.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))))
44.9%
(/.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) z (*.f64 (neg.f64 (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))
27.1%
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))))
43.6%
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (*.f64 z z)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)))))
27.7%
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))))
99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))
79.8%
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
44.8%
(*.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) z (*.f64 (neg.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) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))
14.9%
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)) (-.f64 (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x))) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64))))
51.1%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
51.4%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
52.6%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 x y z))
43.1%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
58.4%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
Compiler

Compiled 970 to 476 computations (50.9% saved)

simplify171.0ms (1.8%)

Memory
-15.5MiB live, 183.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))
cost-diff0
(+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))
cost-diff0
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))))
cost-diff128
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
cost-diff128
(*.f64 (neg.f64 (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
cost-diff128
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
cost-diff320
(*.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) z (*.f64 (neg.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) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))
cost-diff6272
(fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) z (*.f64 (neg.f64 (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 (sin.f64 y) x)
cost-diff0
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
cost-diff0
(fma.f64 x y z)
cost-diff0
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 x y z))
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
12 950×lower-fma.f32
12 942×lower-fma.f64
4 378×lower-*.f32
4 362×lower-*.f64
1 366×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038375
066373
1124371
2259371
3764368
42456366
55665366
08276355
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))) (fma.f64 x y z))
(fma.f64 x y z)
x
y
z
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
(*.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) z (*.f64 (neg.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) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))
(fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) z (*.f64 (neg.f64 (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))
(cos.f64 (+.f64 y y))
(+.f64 y y)
y
z
(*.f64 (neg.f64 (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
(neg.f64 (*.f64 x x))
(*.f64 x x)
x
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))
#s(literal 1 binary64)
(-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(cos.f64 y)
(*.f64 (sin.f64 y) x)
(sin.f64 y)
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))))
(+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))
(*.f64 (cos.f64 y) z)
(cos.f64 y)
y
z
#s(literal 3 binary64)
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))
(*.f64 (sin.f64 y) x)
(sin.f64 y)
x
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))
(cos.f64 (+.f64 y y))
(+.f64 y y)
(*.f64 x x)
(*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))
(-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
Outputs
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(cos.f64 y)
y
z
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(sin.f64 y)
x
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 x y z))
(fma.f64 x y z)
x
y
z
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(sin.f64 y)
y
x
(*.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) z (*.f64 (neg.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) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))
(/.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 z x) (-.f64 z x)))) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))))
(fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) z (*.f64 (neg.f64 (*.f64 x x)) (-.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 z x) (-.f64 z x))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z)
(*.f64 (fma.f64 (cos.f64 (+.f64 y y)) z z) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))
(*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
(cos.f64 (+.f64 y y))
(+.f64 y y)
y
z
(*.f64 (neg.f64 (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
(*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 x x))
(neg.f64 (*.f64 x x))
(*.f64 (neg.f64 x) x)
(*.f64 x x)
x
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))))
#s(literal 1 binary64)
(-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y)))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(cos.f64 y)
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(sin.f64 y)
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))))
(/.f64 (+.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 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))) (*.f64 z (cos.f64 y)))))
(+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))
(+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))
(pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(cos.f64 y)
y
z
#s(literal 3 binary64)
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(sin.f64 y)
x
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))) (*.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))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))
(*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
(cos.f64 (+.f64 y y))
(+.f64 y y)
(*.f64 x x)
(*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))
(*.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))) (*.f64 z (cos.f64 y)))
(-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y)))

localize301.0ms (3.2%)

Memory
-10.8MiB live, 302.1MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy1.9453063074906176
(+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))
accuracy8.25784618389628
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)))
accuracy15.564141523920249
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
accuracy38.87672159977358
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))))
accuracy1.273423738027801
(fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) z (*.f64 (neg.f64 (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
accuracy9.613400466758117
(*.f64 (neg.f64 (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
accuracy15.564141523920249
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
accuracy25.6509838139463
(*.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) z (*.f64 (neg.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) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))
accuracy0
(sin.f64 y)
accuracy0.1484375
(*.f64 (sin.f64 y) x)
accuracy36.322515403307975
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
accuracy0
(fma.f64 x y z)
accuracy30.314838432862885
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 x y z))
accuracy0
(sin.f64 y)
accuracy0
(cos.f64 y)
accuracy0.0625
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
accuracy0.1484375
(*.f64 (sin.f64 y) x)
Samples
95.0ms78×1valid
85.0ms48×2valid
63.0ms130×0valid
Compiler

Compiled 373 to 39 computations (89.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 189.0ms
ival-mult: 87.0ms (46.1% of total)
ival-cos: 45.0ms (23.9% of total)
ival-pow: 14.0ms (7.4% of total)
adjust: 13.0ms (6.9% of total)
ival-add: 12.0ms (6.4% of total)
ival-sin: 6.0ms (3.2% of total)
ival-div: 5.0ms (2.7% of total)
ival-sub: 4.0ms (2.1% of total)
ival-neg: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series95.0ms (1%)

Memory
3.5MiB live, 124.3MiB allocated
Counts
16 → 444
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))) (fma.f64 x y z)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 x y z)) #<representation binary64>) () ())
#s(alt (fma.f64 x y z) (patch (fma.f64 x y z) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) z (*.f64 (neg.f64 (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (patch (fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) z (*.f64 (neg.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 (fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) z (*.f64 (neg.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) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))) (patch (*.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) z (*.f64 (neg.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) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))) #<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 (neg.f64 (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (patch (*.f64 (neg.f64 (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (patch (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)))) (patch (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)))) #<representation binary64>) () ())
#s(alt (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (patch (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))) (patch (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))) #<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>) () ())) ())
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1/6 (* x (pow y 2))))) (taylor 0 y) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) (taylor 0 y) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<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 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<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>) () ())) ())
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#s(alt (* (pow z 2) (+ (* -1 (/ (* x (* (cos y) (sin y))) z)) (+ (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)) (pow (cos y) 2)))) (taylor inf z) (#s(alt (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))) (patch (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* -1 (/ (* x (* (cos y) (sin y))) z)) (+ (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)) (pow (cos y) 2)))) (taylor inf z) (#s(alt (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))) (patch (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (pow (cos y) 2)) (taylor -inf z) (#s(alt (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))) (patch (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* -1 (/ (* x (* (cos y) (sin y))) z)) (pow (cos y) 2))) (taylor -inf z) (#s(alt (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))) (patch (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) z)) (* x (* (cos y) (sin y)))) z)) (pow (cos y) 2))) (taylor -inf z) (#s(alt (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))) (patch (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) z)) (* x (* (cos y) (sin y)))) z)) (pow (cos y) 2))) (taylor -inf z) (#s(alt (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))) (patch (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))) #<representation binary64>) () ())) ())
Calls

111 calls:

TimeVariablePointExpression
6.0ms
x
@0
(+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3))
6.0ms
y
@inf
(* (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (- (* (cos y) z) (* (sin y) x))))
5.0ms
x
@-inf
(/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z))))
4.0ms
y
@-inf
(/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z))))
4.0ms
y
@inf
(/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z))))

simplify223.0ms (2.4%)

Memory
20.0MiB live, 214.6MiB allocated
Algorithm
egg-herbie
Rules
9 656×lower-fma.f64
9 656×lower-fma.f32
7 404×lower-*.f64
7 404×lower-*.f32
4 070×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07838573
127928311
083417941
Stop Event
iter limit
node limit
Counts
444 → 434
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)
(* 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)))))
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)))))
(* 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)))))
(pow z 2)
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (* -1 (pow z 2)))) (pow z 2))
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* 1/3 (pow x 2)) (* 1/3 (pow z 2))))))) (pow z 2))
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* 1/3 (pow x 2)) (+ (* 1/3 (pow z 2)) (* (pow y 2) (+ (* -2/45 (pow x 2)) (* -2/45 (pow z 2)))))))))) (pow z 2))
(+ (* -1 (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(+ (* -1 (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(+ (* -1 (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(+ (* -1 (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(* -1 (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (+ 1/2 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (* 1/2 (cos (* 2 y))))))
(* (pow z 2) (+ 1/2 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (* 1/2 (cos (* 2 y))))))
(* (pow z 2) (+ 1/2 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (* 1/2 (cos (* 2 y))))))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (+ 1/2 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (* 1/2 (cos (* 2 y))))))
(* (pow z 2) (+ 1/2 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (* 1/2 (cos (* 2 y))))))
(* (pow z 2) (+ 1/2 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (* 1/2 (cos (* 2 y))))))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(+ (* -1 (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))))
(* (pow x 2) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))))
(* (pow x 2) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))))
(* -1 (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))))
(* (pow x 2) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))))
(* (pow x 2) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))))
z
(+ z (* x y))
(+ z (* y (- (* y (- (* -1 z) (* -1/2 z))) (* -1 x))))
(+ z (* y (- (* y (- (+ (* -1 z) (* -1 (* y (+ (* -1 (/ (* x (- (* -1 z) (* -1/2 z))) z)) (+ (* -1/2 x) (* 1/6 x)))))) (* -1/2 z))) (* -1 x))))
(/ (+ (* -1 (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))
(/ (+ (* -1 (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))
(/ (+ (* -1 (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))
(/ (+ (* -1 (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))
(/ (+ (* -1 (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* z (cos y)) (* x (sin y))))
(/ (+ (* -1 (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* z (cos y)) (* x (sin y))))
(/ (+ (* -1 (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* z (cos y)) (* x (sin y))))
(/ (+ (* -1 (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* z (cos y)) (* x (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 (- (* z (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* x (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3)))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(+ (* z (- (* z (- (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* x (sin y)))) (/ (* z (* (cos y) (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* x (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3))))))) (* x (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3)))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
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(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))
(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))
(* (pow x 3) (pow (sin y) 3))
(* (pow x 3) (+ (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3)) (pow (sin y) 3)))
(* (pow x 3) (+ (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3)) (pow (sin y) 3)))
(* (pow x 3) (+ (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3)) (pow (sin y) 3)))
(* (pow x 3) (pow (sin y) 3))
(* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3))) (* -1 (pow (sin y) 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3))) (* -1 (pow (sin y) 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3))) (* -1 (pow (sin y) 3)))))
(pow z 3)
(+ (* -3/2 (* (pow y 2) (pow z 3))) (pow z 3))
(+ (* (pow y 2) (+ (* -3/2 (pow z 3)) (* 7/8 (* (pow y 2) (pow z 3))))) (pow z 3))
(+ (* (pow y 2) (+ (* -3/2 (pow z 3)) (* (pow y 2) (+ (* -61/240 (* (pow y 2) (pow z 3))) (* 7/8 (pow z 3)))))) (pow z 3))
(* (pow z 3) (pow (cos y) 3))
(* (pow z 3) (pow (cos y) 3))
(* (pow z 3) (pow (cos y) 3))
(* (pow z 3) (pow (cos y) 3))
(* (pow z 3) (pow (cos y) 3))
(* (pow z 3) (pow (cos y) 3))
(* (pow z 3) (pow (cos y) 3))
(* (pow z 3) (pow (cos y) 3))
(* (pow z 3) (pow (cos y) 3))
(* (pow z 3) (pow (cos y) 3))
(* (pow z 3) (pow (cos y) 3))
(* (pow z 3) (pow (cos y) 3))
(* (pow z 3) (pow (cos y) 3))
(* (pow z 3) (pow (cos y) 3))
(* (pow z 3) (pow (cos y) 3))
(* (pow z 3) (pow (cos y) 3))
(* (pow z 3) (pow (cos y) 3))
(* (pow z 3) (pow (cos y) 3))
(* (pow z 3) (pow (cos y) 3))
(* (pow z 3) (pow (cos y) 3))
(pow z 2)
(+ (* -1 (* x (* y z))) (pow z 2))
(+ (* y (+ (* -1 (* x z)) (* y (+ (* -1 (pow z 2)) (pow x 2))))) (pow z 2))
(+ (* y (+ (* -1 (* x z)) (* y (+ (* -1 (pow z 2)) (+ (* y (* z (+ (* 1/6 x) (* 1/2 x)))) (pow x 2)))))) (pow z 2))
(+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(* (pow z 2) (pow (cos y) 2))
(+ (* -1 (* x (* z (* (cos y) (sin y))))) (* (pow z 2) (pow (cos y) 2)))
(+ (* x (+ (* -1 (* z (* (cos y) (sin y)))) (* x (- 1/2 (* 1/2 (cos (* 2 y))))))) (* (pow z 2) (pow (cos y) 2)))
(+ (* x (+ (* -1 (* z (* (cos y) (sin y)))) (* x (- 1/2 (* 1/2 (cos (* 2 y))))))) (* (pow z 2) (pow (cos y) 2)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- (+ 1/2 (* -1 (/ (* z (* (cos y) (sin y))) x))) (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- (+ 1/2 (+ (* -1 (/ (* z (* (cos y) (sin y))) x)) (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2)))) (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- (+ 1/2 (+ (* -1 (/ (* z (* (cos y) (sin y))) x)) (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2)))) (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- (+ 1/2 (* -1 (/ (* z (* (cos y) (sin y))) x))) (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- (+ 1/2 (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) x)) (* z (* (cos y) (sin y)))) x))) (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- (+ 1/2 (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) x)) (* z (* (cos y) (sin y)))) x))) (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(+ (* -1 (* x (* z (* (cos y) (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* z (+ (* -1 (* x (* (cos y) (sin y)))) (* z (pow (cos y) 2)))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* z (+ (* -1 (* x (* (cos y) (sin y)))) (* z (pow (cos y) 2)))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow z 2) (pow (cos y) 2))
(* (pow z 2) (+ (* -1 (/ (* x (* (cos y) (sin y))) z)) (pow (cos y) 2)))
(* (pow z 2) (+ (* -1 (/ (* x (* (cos y) (sin y))) z)) (+ (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)) (pow (cos y) 2))))
(* (pow z 2) (+ (* -1 (/ (* x (* (cos y) (sin y))) z)) (+ (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)) (pow (cos y) 2))))
(* (pow z 2) (pow (cos y) 2))
(* (pow z 2) (+ (* -1 (/ (* x (* (cos y) (sin y))) z)) (pow (cos y) 2)))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) z)) (* x (* (cos y) (sin y)))) z)) (pow (cos y) 2)))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) z)) (* x (* (cos y) (sin y)))) z)) (pow (cos y) 2)))
Outputs
z
(+ z (* x y))
(fma.f64 y x z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y x) y z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (neg.f64 z) (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (neg.f64 z) (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (neg.f64 z) (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
(* z (cos y))
(*.f64 (cos.f64 y) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(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 y x)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/120 binary64) x)) y) y (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)
(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 (cos.f64 y) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)
z
(+ z (* x y))
(fma.f64 y x z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y x) y z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (neg.f64 z) (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (neg.f64 z) (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (neg.f64 z) (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
z
(+ z (* x y))
(fma.f64 y x z)
(+ z (* x y))
(fma.f64 y x z)
(+ z (* x y))
(fma.f64 y x z)
(* x y)
(*.f64 y x)
(* x (+ y (/ z x)))
(*.f64 (+.f64 (/.f64 z x) y) x)
(* x (+ y (/ z x)))
(*.f64 (+.f64 (/.f64 z x) y) x)
(* x (+ y (/ z x)))
(*.f64 (+.f64 (/.f64 z x) y) x)
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(*.f64 (+.f64 (/.f64 z x) y) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(*.f64 (+.f64 (/.f64 z x) y) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(*.f64 (+.f64 (/.f64 z x) y) x)
z
(+ z (* x y))
(fma.f64 y x z)
(+ z (* x y))
(fma.f64 y x z)
(+ z (* x y))
(fma.f64 y x z)
(* x y)
(*.f64 y x)
(* y (+ x (/ z y)))
(*.f64 (+.f64 (/.f64 z y) x) y)
(* y (+ x (/ z y)))
(*.f64 (+.f64 (/.f64 z y) x) y)
(* y (+ x (/ z y)))
(*.f64 (+.f64 (/.f64 z y) x) y)
(* x y)
(*.f64 y x)
(* -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))
(* x y)
(*.f64 y x)
(+ z (* x y))
(fma.f64 y x z)
(+ z (* x y))
(fma.f64 y x z)
(+ z (* x y))
(fma.f64 y x z)
z
(* z (+ 1 (/ (* x y) z)))
(fma.f64 (/.f64 (*.f64 y x) z) z z)
(* z (+ 1 (/ (* x y) z)))
(fma.f64 (/.f64 (*.f64 y x) z) z z)
(* z (+ 1 (/ (* x y) z)))
(fma.f64 (/.f64 (*.f64 y x) z) z z)
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
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(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (neg.f64 (fma.f64 (*.f64 (*.f64 z z) z) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 x x) x)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3))) (* -1 (pow (sin y) 3)))))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (neg.f64 (fma.f64 (*.f64 (*.f64 z z) z) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 x x) x)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))
(pow z 3)
(*.f64 (*.f64 z z) z)
(+ (* -3/2 (* (pow y 2) (pow z 3))) (pow z 3))
(*.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 (*.f64 z z) z))
(+ (* (pow y 2) (+ (* -3/2 (pow z 3)) (* 7/8 (* (pow y 2) (pow z 3))))) (pow z 3))
(fma.f64 (*.f64 (*.f64 (*.f64 z z) z) (fma.f64 (*.f64 #s(literal 7/8 binary64) y) y #s(literal -3/2 binary64))) (*.f64 y y) (*.f64 (*.f64 z z) z))
(+ (* (pow y 2) (+ (* -3/2 (pow z 3)) (* (pow y 2) (+ (* -61/240 (* (pow y 2) (pow z 3))) (* 7/8 (pow z 3)))))) (pow z 3))
(fma.f64 (fma.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 z z)) z (*.f64 (*.f64 (*.f64 (*.f64 z z) z) (fma.f64 #s(literal -61/240 binary64) (*.f64 y y) #s(literal 7/8 binary64))) (*.f64 y y))) (*.f64 y y) (*.f64 (*.f64 z z) z))
(* (pow z 3) (pow (cos y) 3))
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) z) (*.f64 z z))
(* (pow z 3) (pow (cos y) 3))
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) z) (*.f64 z z))
(* (pow z 3) (pow (cos y) 3))
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) z) (*.f64 z z))
(* (pow z 3) (pow (cos y) 3))
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) z) (*.f64 z z))
(* (pow z 3) (pow (cos y) 3))
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) z) (*.f64 z z))
(* (pow z 3) (pow (cos y) 3))
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) z) (*.f64 z z))
(* (pow z 3) (pow (cos y) 3))
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) z) (*.f64 z z))
(* (pow z 3) (pow (cos y) 3))
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) z) (*.f64 z z))
(* (pow z 3) (pow (cos y) 3))
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) z) (*.f64 z z))
(* (pow z 3) (pow (cos y) 3))
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) z) (*.f64 z z))
(* (pow z 3) (pow (cos y) 3))
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) z) (*.f64 z z))
(* (pow z 3) (pow (cos y) 3))
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) z) (*.f64 z z))
(* (pow z 3) (pow (cos y) 3))
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) z) (*.f64 z z))
(* (pow z 3) (pow (cos y) 3))
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) z) (*.f64 z z))
(* (pow z 3) (pow (cos y) 3))
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) z) (*.f64 z z))
(* (pow z 3) (pow (cos y) 3))
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) z) (*.f64 z z))
(* (pow z 3) (pow (cos y) 3))
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) z) (*.f64 z z))
(* (pow z 3) (pow (cos y) 3))
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) z) (*.f64 z z))
(* (pow z 3) (pow (cos y) 3))
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) z) (*.f64 z z))
(* (pow z 3) (pow (cos y) 3))
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) z) (*.f64 z z))
(pow z 2)
(*.f64 z z)
(+ (* -1 (* x (* y z))) (pow z 2))
(fma.f64 (*.f64 (neg.f64 x) y) z (*.f64 z z))
(+ (* y (+ (* -1 (* x z)) (* y (+ (* -1 (pow z 2)) (pow x 2))))) (pow z 2))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) y (*.f64 (neg.f64 z) x)) y (*.f64 z z))
(+ (* y (+ (* -1 (* x z)) (* y (+ (* -1 (pow z 2)) (+ (* y (* z (+ (* 1/6 x) (* 1/2 x)))) (pow x 2)))))) (pow z 2))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x #s(literal 2/3 binary64)) z) y (fma.f64 (neg.f64 z) z (*.f64 x x))) y (*.f64 (neg.f64 z) x)) y (*.f64 z z))
(+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (*.f64 x x) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))
(+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (*.f64 x x) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))
(+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (*.f64 x x) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))
(+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (*.f64 x x) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))
(+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (*.f64 x x) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))
(+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (*.f64 x x) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))
(+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (*.f64 x x) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))
(+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (*.f64 x x) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))
(* (pow z 2) (pow (cos y) 2))
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)
(+ (* -1 (* x (* z (* (cos y) (sin y))))) (* (pow z 2) (pow (cos y) 2)))
(*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))
(+ (* x (+ (* -1 (* z (* (cos y) (sin y)))) (* x (- 1/2 (* 1/2 (cos (* 2 y))))))) (* (pow z 2) (pow (cos y) 2)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (*.f64 x x) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))
(+ (* x (+ (* -1 (* z (* (cos y) (sin y)))) (* x (- 1/2 (* 1/2 (cos (* 2 y))))))) (* (pow z 2) (pow (cos y) 2)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (*.f64 x x) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (*.f64 x x))
(* (pow x 2) (- (+ 1/2 (* -1 (/ (* z (* (cos y) (sin y))) x))) (* 1/2 (cos (* 2 y)))))
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (*.f64 (cos.f64 y) (sin.f64 y)) x) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)))) (*.f64 x x))
(* (pow x 2) (- (+ 1/2 (+ (* -1 (/ (* z (* (cos y) (sin y))) x)) (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2)))) (* 1/2 (cos (* 2 y)))))
(*.f64 (-.f64 (fma.f64 (neg.f64 z) (/.f64 (*.f64 (cos.f64 y) (sin.f64 y)) x) (fma.f64 (*.f64 z z) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (*.f64 x x))
(* (pow x 2) (- (+ 1/2 (+ (* -1 (/ (* z (* (cos y) (sin y))) x)) (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2)))) (* 1/2 (cos (* 2 y)))))
(*.f64 (-.f64 (fma.f64 (neg.f64 z) (/.f64 (*.f64 (cos.f64 y) (sin.f64 y)) x) (fma.f64 (*.f64 z z) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (*.f64 x x))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (*.f64 x x))
(* (pow x 2) (- (+ 1/2 (* -1 (/ (* z (* (cos y) (sin y))) x))) (* 1/2 (cos (* 2 y)))))
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (*.f64 (cos.f64 y) (sin.f64 y)) x) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)))) (*.f64 x x))
(* (pow x 2) (- (+ 1/2 (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) x)) (* z (* (cos y) (sin y)))) x))) (* 1/2 (cos (* 2 y)))))
(*.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 z (sin.f64 y)) (cos.f64 y) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x))) x)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (*.f64 x x))
(* (pow x 2) (- (+ 1/2 (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) x)) (* z (* (cos y) (sin y)))) x))) (* 1/2 (cos (* 2 y)))))
(*.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 z (sin.f64 y)) (cos.f64 y) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x))) x)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (*.f64 x x))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (*.f64 x x))
(+ (* -1 (* x (* z (* (cos y) (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) x (*.f64 (*.f64 (cos.f64 y) (sin.f64 y)) (neg.f64 z))) x)
(+ (* z (+ (* -1 (* x (* (cos y) (sin y)))) (* z (pow (cos y) 2)))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (*.f64 x x) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))
(+ (* z (+ (* -1 (* x (* (cos y) (sin y)))) (* z (pow (cos y) 2)))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (*.f64 x x) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))
(* (pow z 2) (pow (cos y) 2))
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)
(* (pow z 2) (+ (* -1 (/ (* x (* (cos y) (sin y))) z)) (pow (cos y) 2)))
(*.f64 (fma.f64 (neg.f64 x) (/.f64 (*.f64 (cos.f64 y) (sin.f64 y)) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 z z))
(* (pow z 2) (+ (* -1 (/ (* x (* (cos y) (sin y))) z)) (+ (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)) (pow (cos y) 2))))
(*.f64 (fma.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (*.f64 z z)) (fma.f64 (neg.f64 x) (/.f64 (*.f64 (cos.f64 y) (sin.f64 y)) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 z z))
(* (pow z 2) (+ (* -1 (/ (* x (* (cos y) (sin y))) z)) (+ (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)) (pow (cos y) 2))))
(*.f64 (fma.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (*.f64 z z)) (fma.f64 (neg.f64 x) (/.f64 (*.f64 (cos.f64 y) (sin.f64 y)) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 z z))
(* (pow z 2) (pow (cos y) 2))
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)
(* (pow z 2) (+ (* -1 (/ (* x (* (cos y) (sin y))) z)) (pow (cos y) 2)))
(*.f64 (fma.f64 (neg.f64 x) (/.f64 (*.f64 (cos.f64 y) (sin.f64 y)) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 z z))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) z)) (* x (* (cos y) (sin y)))) z)) (pow (cos y) 2)))
(*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) z) (*.f64 (*.f64 x (cos.f64 y)) (sin.f64 y))) z)) (*.f64 z z))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) z)) (* x (* (cos y) (sin y)))) z)) (pow (cos y) 2)))
(*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) z) (*.f64 (*.f64 x (cos.f64 y)) (sin.f64 y))) z)) (*.f64 z z))

rewrite343.0ms (3.6%)

Memory
-10.8MiB live, 416.2MiB allocated
Rules
9 446×lower-fma.f32
9 438×lower-fma.f64
4 038×lower-*.f32
4 022×lower-*.f64
3 928×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038224
066161
1260130
21972130
08634129
Stop Event
iter limit
node limit
iter limit
Counts
16 → 888
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))) (fma.f64 x y z))
(fma.f64 x y z)
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
(fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) z (*.f64 (neg.f64 (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(*.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) z (*.f64 (neg.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) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(*.f64 (neg.f64 (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))))
(+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)))
Outputs
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))) (*.f64 z (cos.f64 y)))) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))) (*.f64 z (cos.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 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y)) #s(literal 3 binary64)))))
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(*.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) #s(literal -1 binary64))
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(fma.f64 (cos.f64 y) (*.f64 z (fma.f64 (neg.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 x x)))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))) (*.f64 z (cos.f64 y))) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.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 x x)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.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 x x)))))
(-.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (neg.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y)))) (*.f64 z (cos.f64 y))))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))) (*.f64 z (cos.f64 y))) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (neg.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y)))) (*.f64 z (cos.f64 y))))) #s(literal 1 binary64)))
(-.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y)))
(-.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (neg.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y)))) (*.f64 z (cos.f64 y))))) (/.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))) (*.f64 z (cos.f64 y))) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (neg.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y)))) (*.f64 z (cos.f64 y))))))
(+.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))) (*.f64 z (cos.f64 y))))
(+.f64 (*.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.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 x x)))

eval556.0ms (5.9%)

Memory
-101.9MiB live, 522.0MiB allocated
Compiler

Compiled 77 628 to 2 947 computations (96.2% saved)

prune263.0ms (2.8%)

Memory
-10.0MiB live, 558.4MiB allocated
Pruning

38 alts after pruning (35 fresh and 3 done)

PrunedKeptTotal
New1 560331 593
Fresh9211
Picked235
Done000
Total1 571381 609
Accuracy
100.0%
Counts
1 609 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
79.8%
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x))
59.6%
(fma.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))))
28.1%
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (sin.f64 y)) x (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))))
44.8%
(/.f64 (fma.f64 (*.f64 z z) (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 (neg.f64 x) x))) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))))
37.4%
(/.f64 (+.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 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
44.8%
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y)))) (*.f64 (fma.f64 (*.f64 z z) (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 (neg.f64 x) x))) #s(literal -1 binary64))))
99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))
44.9%
(*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z (*.f64 (neg.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) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))
49.5%
(*.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) z (*.f64 (neg.f64 (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))
16.2%
(*.f64 #s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (- 1/2 (* 1/2 (cos (+ y y)))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))
51.4%
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y x) y z))
93.2%
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z))
58.4%
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 (cos.f64 y) z))
51.1%
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
89.5%
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x))
52.6%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 x y z))
12.6%
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 (*.f64 z z) z (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 (*.f64 x y) x) y (*.f64 z (-.f64 z (*.f64 x y))))))
32.3%
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (*.f64 x y) x) y)) (-.f64 z (*.f64 x y))))
52.5%
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
12.5%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 (*.f64 z z) z (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x y) x) y (*.f64 z (-.f64 z (*.f64 x y)))))))
35.4%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) z))))
43.1%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
16.7%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x))
17.0%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x))
50.6%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* x y) z) (fma.f64 (/.f64 (*.f64 y x) z) z z)))
50.5%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* x y) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
17.1%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* x y) z) (*.f64 y x)))
16.7%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/120 binary64) x)) y) y (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
17.0%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
16.5%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)))
46.1%
#s(approx (* (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (- (* (cos y) z) (* (sin y) x)))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) x) z)) (neg.f64 y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
50.5%
#s(approx (* (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (- (* (cos y) z) (* (sin y) x)))) (fma.f64 (*.f64 (cos.f64 y) z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 x (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (sin.f64 y)))))
46.4%
#s(approx (* (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (- (* (cos y) z) (* (sin y) x)))) (*.f64 (fma.f64 z (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (sin.f64 y))) x))
58.1%
#s(approx (* (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (- (* (cos y) z) (* (sin y) x)))) (*.f64 (-.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (cos.f64 y)) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (neg.f64 z)) (*.f64 x (/.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) z)) (neg.f64 z)))
92.8%
#s(approx (* (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (- (* (cos y) z) (* (sin y) x)))) (*.f64 (-.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 (sin.f64 y) x) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z))) (neg.f64 z)))
58.2%
#s(approx (* (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (- (* (cos y) z) (* (sin y) x)))) (*.f64 z (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))))
29.6%
#s(approx (* (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (- (* (cos y) z) (* (sin y) x)))) (*.f64 x (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (sin.f64 y))))
Compiler

Compiled 1 885 to 1 008 computations (46.5% saved)

simplify136.0ms (1.4%)

Memory
8.2MiB live, 203.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff128
(neg.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))))
cost-diff320
(*.f64 (fma.f64 (*.f64 z z) (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 (neg.f64 x) x))) #s(literal -1 binary64))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y)))) (*.f64 (fma.f64 (*.f64 z z) (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 (neg.f64 x) x))) #s(literal -1 binary64))))
cost-diff6144
(fma.f64 (*.f64 z z) (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 (neg.f64 x) x)))
cost-diff0
(cos.f64 y)
cost-diff0
(*.f64 (cos.f64 y) z)
cost-diff0
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 (cos.f64 y) z))
cost-diff0
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)
cost-diff0
#s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))
cost-diff0
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
cost-diff320
(fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x))
cost-diff0
(*.f64 y x)
cost-diff0
#s(approx (+ (* x y) z) (*.f64 y x))
cost-diff0
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* x y) z) (*.f64 y x)))
cost-diff0
(cos.f64 y)
cost-diff0
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))
Rules
8 538×lower-fma.f32
8 524×lower-fma.f64
3 366×lower-*.f32
3 342×lower-*.f64
1 888×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066438
0105431
1206420
2473416
31564415
45123415
08152402
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(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 (+ (* x y) z) (*.f64 y x)))
#s(approx (+ (* x y) z) (*.f64 y x))
(*.f64 y x)
y
x
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
#s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)
(fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x))
#s(literal 1/120 binary64)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 binary64)
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 (cos.f64 y) z))
(*.f64 (cos.f64 y) z)
(cos.f64 y)
y
z
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y)))) (*.f64 (fma.f64 (*.f64 z z) (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 (neg.f64 x) x))) #s(literal -1 binary64))))
#s(literal 1 binary64)
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y)))) (*.f64 (fma.f64 (*.f64 z z) (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 (neg.f64 x) x))) #s(literal -1 binary64)))
(neg.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))))
(fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y)))
(neg.f64 x)
x
(sin.f64 y)
y
(*.f64 z (cos.f64 y))
z
(cos.f64 y)
(*.f64 (fma.f64 (*.f64 z z) (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 (neg.f64 x) x))) #s(literal -1 binary64))
(fma.f64 (*.f64 z z) (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 (neg.f64 x) x)))
(*.f64 z z)
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(cos.f64 (+.f64 y y))
(+.f64 y y)
#s(literal 1/2 binary64)
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 (neg.f64 x) x)
#s(literal -1 binary64)
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(cos.f64 y)
y
z
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(sin.f64 y)
x
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* x y) z) (*.f64 y x)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* x y) z) (*.f64 x y)))
#s(approx (+ (* x y) z) (*.f64 y x))
#s(approx (+ (* x y) z) (*.f64 x y))
(*.f64 y x)
(*.f64 x y)
y
x
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y)))
#s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))
#s(approx (* (sin y) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y)
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)
(*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)
#s(literal 1/120 binary64)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 binary64)
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 (cos.f64 y) z))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 z (cos.f64 y)))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(cos.f64 y)
y
z
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y)))) (*.f64 (fma.f64 (*.f64 z z) (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 (neg.f64 x) x))) #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 x) x (*.f64 z z)) (*.f64 (cos.f64 (+.f64 y y)) (*.f64 #s(literal 1/2 binary64) (fma.f64 x x (*.f64 z z))))) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))))
#s(literal 1 binary64)
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y)))) (*.f64 (fma.f64 (*.f64 z z) (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 (neg.f64 x) x))) #s(literal -1 binary64)))
(/.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 x) x (*.f64 z z)) (*.f64 (cos.f64 (+.f64 y y)) (*.f64 #s(literal 1/2 binary64) (fma.f64 x x (*.f64 z z))))))
(neg.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))))
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y)))
(neg.f64 x)
x
(sin.f64 y)
y
(*.f64 z (cos.f64 y))
z
(cos.f64 y)
(*.f64 (fma.f64 (*.f64 z z) (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 (neg.f64 x) x))) #s(literal -1 binary64))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 z z (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 x x (*.f64 z z))))
(fma.f64 (*.f64 z z) (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 (neg.f64 x) x)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 x) x (*.f64 z z)) (*.f64 (cos.f64 (+.f64 y y)) (*.f64 #s(literal 1/2 binary64) (fma.f64 x x (*.f64 z z)))))
(*.f64 z z)
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(cos.f64 (+.f64 y y))
(+.f64 y y)
#s(literal 1/2 binary64)
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x))
(*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 x x))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 (neg.f64 x) x)
#s(literal -1 binary64)

localize326.0ms (3.5%)

Memory
-5.6MiB live, 488.9MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy1.5312458716604118
(fma.f64 (*.f64 z z) (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 (neg.f64 x) x)))
accuracy9.613400466758117
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x))
accuracy15.564141523920235
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
accuracy25.61934423636201
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y)))) (*.f64 (fma.f64 (*.f64 z z) (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 (neg.f64 x) x))) #s(literal -1 binary64)))
accuracy0
(cos.f64 y)
accuracy0.12890625
(*.f64 (cos.f64 y) z)
accuracy26.561485590693643
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 (cos.f64 y) z))
accuracy0.33203125
(*.f64 #s(literal -1/6 binary64) x)
accuracy9.861048253010118
(*.f64 (*.f64 y y) x)
accuracy30.996315932630118
#s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))
accuracy36.322515403307975
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
accuracy0
(*.f64 y x)
accuracy28.14985455180635
#s(approx (+ (* x y) z) (*.f64 y x))
accuracy30.314838432862885
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* x y) z) (*.f64 y x)))
accuracy0.0625
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
accuracy0.1484375
(*.f64 (sin.f64 y) x)
accuracy0.1796875
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
accuracy0.24609375
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))
Samples
97.0ms46×2valid
85.0ms130×0valid
75.0ms80×1valid
Compiler

Compiled 407 to 62 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 222.0ms
ival-mult: 94.0ms (42.3% of total)
adjust: 30.0ms (13.5% of total)
ival-cos: 29.0ms (13.1% of total)
ival-add: 22.0ms (9.9% of total)
ival-div: 13.0ms (5.9% of total)
ival-pow: 11.0ms (5% of total)
const: 10.0ms (4.5% of total)
ival-sin: 6.0ms (2.7% of total)
ival-sub: 3.0ms (1.4% of total)
ival-neg: 3.0ms (1.4% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series75.0ms (0.8%)

Memory
-7.8MiB live, 146.2MiB allocated
Counts
23 → 660
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())
#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 #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* x y) z) (*.f64 y x))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* x y) z) (*.f64 y x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x y) z) (*.f64 y x)) (patch #s(approx (+ (* x y) z) (*.f64 y x)) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) #<representation binary64>) () ())
#s(alt #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) (patch #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y) (patch (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 (cos.f64 y) z)) (patch #s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 (cos.f64 y) z)) #<representation binary64>) () ())
#s(alt (*.f64 (cos.f64 y) z) (patch (*.f64 (cos.f64 y) z) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 z z) (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 (neg.f64 x) x))) (patch (fma.f64 (*.f64 z z) (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 (neg.f64 x) x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y)))) (*.f64 (fma.f64 (*.f64 z z) (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 (neg.f64 x) x))) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y)))) (*.f64 (fma.f64 (*.f64 z z) (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 (neg.f64 x) x))) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (*.f64 z z) (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 (neg.f64 x) x))) #s(literal -1 binary64)) (patch (*.f64 (fma.f64 (*.f64 z z) (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 (neg.f64 x) x))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (neg.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y)))) (patch (neg.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())
#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -1/6 binary64) x) (patch (*.f64 #s(literal -1/6 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y)))) (*.f64 (fma.f64 (*.f64 z z) (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 (neg.f64 x) x))) #s(literal -1 binary64))) (patch (/.f64 (neg.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y)))) (*.f64 (fma.f64 (*.f64 z z) (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 (neg.f64 x) x))) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) (patch (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())
Outputs
#s(alt z (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.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 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.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 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.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 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.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 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.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 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.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 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 z) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* y (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* 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)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ (* x (sin y)) (* z (cos y)))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ (* x (sin y)) (* z (cos y)))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ (* x (sin y)) (* z (cos y)))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ (* x (sin y)) (* z (cos y)))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ (* x (sin y)) (* z (cos y)))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ (* x (sin y)) (* z (cos y)))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ (* x (sin y)) (* z (cos y)))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ (* x (sin y)) (* z (cos y)))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.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 (cos.f64 y) z (*.f64 (sin.f64 y) x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y)))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ())
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#s(alt (+ 1/2 (* -1/2 (cos (* 2 y)))) (taylor inf y) (#s(alt (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/2 (cos (neg (* -2 y))))) (taylor -inf y) (#s(alt (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/2 (cos (neg (* -2 y))))) (taylor -inf y) (#s(alt (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/2 (cos (neg (* -2 y))))) (taylor -inf y) (#s(alt (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/2 (cos (neg (* -2 y))))) (taylor -inf y) (#s(alt (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) (patch (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 (pow x 2)) (* 1/3 (* (pow x 2) (pow y 2))))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) (patch (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 (pow x 2)) (* (pow y 2) (+ (* -2/45 (* (pow x 2) (pow y 2))) (* 1/3 (pow x 2)))))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) (patch (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 (pow x 2)) (* (pow y 2) (+ (* 1/3 (pow x 2)) (* (pow y 2) (+ (* -2/45 (pow x 2)) (* 1/315 (* (pow x 2) (pow y 2))))))))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) (patch (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))) (taylor inf y) (#s(alt (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) (patch (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))) (taylor inf y) (#s(alt (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) (patch (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))) (taylor inf y) (#s(alt (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) (patch (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))) (taylor inf y) (#s(alt (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) (patch (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (neg (* -2 y))))))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) (patch (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (neg (* -2 y))))))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) (patch (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (neg (* -2 y))))))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) (patch (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (neg (* -2 y))))))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) (patch (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) (patch (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) (patch (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) (patch (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) (patch (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))) (taylor inf x) (#s(alt (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) (patch (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))) (taylor inf x) (#s(alt (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) (patch (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))) (taylor inf x) (#s(alt (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) (patch (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))) (taylor inf x) (#s(alt (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) (patch (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) (patch (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) (patch (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) (patch (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) (patch (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
Calls

165 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(* (+ (* (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (* y y)) x) y)
2.0ms
x
@0
(/ 1 (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)))
2.0ms
x
@0
(/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1))
1.0ms
y
@inf
(/ 1 (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)))
1.0ms
y
@-inf
(/ 1 (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)))

simplify286.0ms (3%)

Memory
45.9MiB live, 232.2MiB allocated
Algorithm
egg-herbie
Rules
6 990×lower-*.f64
6 990×lower-*.f32
6 592×lower-fma.f64
6 592×lower-fma.f32
3 250×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0106311950
1391311650
0843510865
Stop Event
iter limit
node limit
Counts
660 → 649
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 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 (* 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 (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))
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)
(* 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))
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(/ 1 z)
(+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))
(+ (* y (+ (* -1 (/ x (pow z 2))) (* y (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))))) (/ 1 z))
(+ (* y (+ (* -1 (/ x (pow z 2))) (* y (- (+ (* 1/2 (/ 1 z)) (* y (- (* 1/6 (/ x (pow z 2))) (* -1 (/ (* x (+ (* -1 (pow x 2)) (* -1 (pow z 2)))) (pow z 4)))))) (* -1 (/ (pow x 2) (pow z 3))))))) (/ 1 z))
(/ (+ (* -1 (* x (sin y))) (* z (cos y))) (+ (* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(/ (+ (* -1 (* x (sin y))) (* z (cos y))) (+ (* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(/ (+ (* -1 (* x (sin y))) (* z (cos y))) (+ (* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(/ (+ (* -1 (* x (sin y))) (* z (cos y))) (+ (* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(/ (+ (* -1 (* x (sin y))) (* z (cos y))) (+ (* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (neg (* -2 y))))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))))
(/ (+ (* -1 (* x (sin y))) (* z (cos y))) (+ (* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (neg (* -2 y))))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))))
(/ (+ (* -1 (* x (sin y))) (* z (cos y))) (+ (* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (neg (* -2 y))))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))))
(/ (+ (* -1 (* x (sin y))) (* z (cos y))) (+ (* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (neg (* -2 y))))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))))
(/ (sin y) (* x (+ 1/2 (* -1/2 (cos (* 2 y))))))
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))) (/ (sin y) (* x (+ 1/2 (* -1/2 (cos (* 2 y)))))))
(+ (* z (+ (* -1 (/ (cos y) (* (pow x 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (+ 1/2 (* -1/2 (cos (* 2 y)))) 2))))) (/ (sin y) (* x (+ 1/2 (* -1/2 (cos (* 2 y)))))))
(+ (* z (+ (* -1 (/ (cos y) (* (pow x 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))) (* z (- (* -1 (/ (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 4) (pow (+ 1/2 (* -1/2 (cos (* 2 y)))) 2)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 3) (pow (+ 1/2 (* -1/2 (cos (* 2 y)))) 2)))))))) (/ (sin y) (* x (+ 1/2 (* -1/2 (cos (* 2 y)))))))
(/ (cos y) (* z (+ 1/2 (* 1/2 (cos (* 2 y))))))
(/ (+ (* -1 (/ (* x (sin y)) (* z (+ 1/2 (* 1/2 (cos (* 2 y))))))) (/ (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) z)
(/ (+ (* -1 (/ (* x (sin y)) (* z (+ 1/2 (* 1/2 (cos (* 2 y))))))) (+ (/ (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (* (cos y) (+ 1/2 (* -1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2))))) z)
(/ (- (+ (* -1 (/ (* x (sin y)) (* z (+ 1/2 (* 1/2 (cos (* 2 y))))))) (+ (* -1 (/ (* (pow x 3) (* (sin y) (+ 1/2 (* -1/2 (cos (* 2 y)))))) (* (pow z 3) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (/ (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (* (pow x 2) (* (cos y) (+ 1/2 (* -1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2))))) z)
(/ (cos y) (* z (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (/ (+ (* -1 (/ (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (sin y)) (* z (+ 1/2 (* 1/2 (cos (* 2 y))))))) z))
(* -1 (/ (+ (* -1 (/ (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* -1 (/ (+ (* -1 (/ (* x (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* (pow x 2) (* (cos y) (+ 1/2 (* -1/2 (cos (* 2 y)))))) (* z (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))) z))) z))
(* -1 (/ (+ (* -1 (/ (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* -1 (/ (+ (* -1 (/ (* x (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* -1 (/ (- (/ (* (pow x 3) (* (sin y) (+ 1/2 (* -1/2 (cos (* 2 y)))))) (* z (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2))) (/ (* (pow x 2) (* (cos y) (+ 1/2 (* -1/2 (cos (* 2 y)))))) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2))) z))) z))) z))
(pow y 2)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(+ 1/2 (* -1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 y)))))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow y 2) (+ (* -1 (pow x 2)) (* 1/3 (* (pow x 2) (pow y 2)))))
(* (pow y 2) (+ (* -1 (pow x 2)) (* (pow y 2) (+ (* -2/45 (* (pow x 2) (pow y 2))) (* 1/3 (pow x 2))))))
(* (pow y 2) (+ (* -1 (pow x 2)) (* (pow y 2) (+ (* 1/3 (pow x 2)) (* (pow y 2) (+ (* -2/45 (pow x 2)) (* 1/315 (* (pow x 2) (pow y 2)))))))))
(* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))
(* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))
(* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))
(* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))
(* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))))
(* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))))
(* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))))
(* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))))
(* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))
(* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))
(* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))
(* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))
(* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))
(* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))
(* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))
(* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))
(* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))
(* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))
(* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))
(* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))
Outputs
z
(+ z (* x y))
(fma.f64 y x z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) x) y z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (neg.f64 z) (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (neg.f64 z) (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (neg.f64 z) (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
(* z (cos y))
(*.f64 (cos.f64 y) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))
(fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))
(+ (* y (- (* y (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 x x) (*.f64 (*.f64 z z) z))) y (/.f64 x (*.f64 (neg.f64 z) z))) y (/.f64 #s(literal 1 binary64) 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))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (fma.f64 (/.f64 x (*.f64 z z)) #s(literal -1/6 binary64) (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 x x) (*.f64 (*.f64 z z) z))) z) (*.f64 (/.f64 x (*.f64 z z)) #s(literal 1/2 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 x x) (*.f64 (*.f64 z z) z)))) y (/.f64 x (*.f64 (neg.f64 z) z))) y (/.f64 #s(literal 1 binary64) z))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(/ 1 (* x (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) (/.f64 (*.f64 (cos.f64 y) z) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x x))))
(+ (* 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))))
(fma.f64 (fma.f64 z (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 x x) x))) (/.f64 (neg.f64 (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x x)))) z (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)))
(+ (* 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))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 z) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 x x) x)))) z (/.f64 (neg.f64 (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x x)))) z (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)))
(/ 1 (* z (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z))
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (*.f64 (sin.f64 y) x) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z))) 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)
(/.f64 (-.f64 (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (/.f64 (*.f64 (sin.f64 y) x) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z))) 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)
(/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (*.f64 (*.f64 z z) z))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (fma.f64 (*.f64 (neg.f64 x) x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z z))) (/.f64 (*.f64 (sin.f64 y) x) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)))) z)
(/ 1 (* z (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z))
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))
(/.f64 (fma.f64 x (/.f64 (sin.f64 y) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 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))
(/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) z)) (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (neg.f64 z)) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (neg.f64 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))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) z)) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (neg.f64 z)) (/.f64 (*.f64 (sin.f64 y) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 z)) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (neg.f64 z))
(/ 1 (* z (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z))
(+ (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)) (/.f64 (*.f64 (sin.f64 y) x) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z z))))
(+ (* 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))))
(fma.f64 (fma.f64 x (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 z z) z))) (/.f64 (neg.f64 (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z z)))) x (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))
(+ (* 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))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 z z) z)))) x (/.f64 (neg.f64 (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z z)))) x (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))
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(* -1 (/ (+ (* -1 (/ (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* -1 (/ (+ (* -1 (/ (* x (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* -1 (/ (- (/ (* (pow x 3) (* (sin y) (+ 1/2 (* -1/2 (cos (* 2 y)))))) (* z (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2))) (/ (* (pow x 2) (* (cos y) (+ 1/2 (* -1/2 (cos (* 2 y)))))) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2))) z))) z))) z))
(/.f64 (-.f64 (/.f64 (cos.f64 y) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 (sin.f64 y) x) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (/.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 y)) (*.f64 (pow.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) z)) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x x) (cos.f64 y)) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (pow.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) z)) z)) (neg.f64 z))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (*.f64 y y) #s(literal -1/3 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 y y) #s(literal 2/45 binary64)) (*.f64 y y) #s(literal -1/3 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 y)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 y)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 y)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 y)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))
(* (pow y 2) (+ (* -1 (pow x 2)) (* 1/3 (* (pow x 2) (pow y 2)))))
(*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/3 binary64) (*.f64 (neg.f64 x) x)) (*.f64 y y))
(* (pow y 2) (+ (* -1 (pow x 2)) (* (pow y 2) (+ (* -2/45 (* (pow x 2) (pow y 2))) (* 1/3 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 x x)) #s(literal -2/45 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 y y) (*.f64 (neg.f64 x) x)) (*.f64 y y))
(* (pow y 2) (+ (* -1 (pow x 2)) (* (pow y 2) (+ (* 1/3 (pow x 2)) (* (pow y 2) (+ (* -2/45 (pow x 2)) (* 1/315 (* (pow x 2) (pow y 2)))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/315 binary64) (*.f64 x x)) (*.f64 y y) (*.f64 #s(literal -2/45 binary64) (*.f64 x x))) (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 y y) (*.f64 (neg.f64 x) x)) (*.f64 y y))
(* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))
(*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))
(*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))
(*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))
(*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))))
(*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))))
(*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))))
(*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))))
(*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))
(*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))
(*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))
(*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))
(*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))
(*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))
(*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))
(*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))
(*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))
(*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))
(*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))
(*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(* -1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))
(*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))

rewrite380.0ms (4%)

Memory
26.6MiB live, 351.5MiB allocated
Rules
6 334×lower-fma.f32
6 320×lower-fma.f64
5 400×lower-*.f32
5 376×lower-*.f64
2 256×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066357
0105294
1418228
23111228
08686222
Stop Event
iter limit
node limit
iter limit
Counts
23 → 922
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(cos.f64 y)
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* x y) z) (*.f64 y x)))
#s(approx (+ (* x y) z) (*.f64 y x))
(*.f64 y x)
(fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
#s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 (cos.f64 y) z))
(*.f64 (cos.f64 y) z)
(fma.f64 (*.f64 z z) (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 (neg.f64 x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y)))) (*.f64 (fma.f64 (*.f64 z z) (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 (neg.f64 x) x))) #s(literal -1 binary64))))
(*.f64 (fma.f64 (*.f64 z z) (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 (neg.f64 x) x))) #s(literal -1 binary64))
(neg.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))))
(*.f64 (sin.f64 y) x)
(*.f64 (*.f64 y y) x)
(*.f64 #s(literal -1/6 binary64) x)
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y)))) (*.f64 (fma.f64 (*.f64 z z) (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 (neg.f64 x) x))) #s(literal -1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x))
Outputs
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))) z) (cos.f64 y))) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))) z) (cos.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 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 z (cos.f64 y)) x) (sin.f64 y)) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z) (*.f64 (*.f64 x (sin.f64 y)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))) z) (cos.f64 y)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z) (*.f64 (*.f64 x (sin.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (neg.f64 x) (sin.f64 y))))) #s(literal 1 binary64)))
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(/.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/4 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64)) (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/4 binary64)))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #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 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/4 binary64)))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(fma.f64 (neg.f64 (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) x) (neg.f64 x))
(*.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) x)
(*.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x))
(*.f64 x (*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64))) (*.f64 (neg.f64 x) x)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (*.f64 (neg.f64 x) x)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (neg.f64 x) x)) (fma.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (neg.f64 x) x)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/4 binary64)))))
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64)))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) #s(literal -1/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/4 binary64)))))
(neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))) (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) x)))
(fma.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1/2 binary64) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) x) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))) (*.f64 (neg.f64 x) x)))
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))) (*.f64 (neg.f64 x) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))) (*.f64 (neg.f64 x) x)))
(+.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))))

eval470.0ms (5%)

Memory
9.1MiB live, 486.3MiB allocated
Compiler

Compiled 59 802 to 3 461 computations (94.2% saved)

prune347.0ms (3.7%)

Memory
-5.4MiB live, 609.0MiB allocated
Pruning

43 alts after pruning (38 fresh and 5 done)

PrunedKeptTotal
New1 571261 597
Fresh181230
Picked325
Done033
Total1 592431 635
Accuracy
100.0%
Counts
1 635 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
79.8%
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x))
48.8%
(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
49.4%
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y)))) (*.f64 (fma.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))) #s(literal -1 binary64))))
52.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 y x z))))
58.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (cos.f64 y) z))))
25.2%
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 x x) (*.f64 (*.f64 z z) z))) y (/.f64 x (*.f64 (neg.f64 z) z))) y (/.f64 #s(literal 1 binary64) z))))
34.8%
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))))
28.9%
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (/.f64 (-.f64 (/.f64 (sin.f64 y) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 (cos.f64 y) z) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x))) x)))
29.6%
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (/.f64 (sin.f64 y) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x))))
58.1%
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (/.f64 (cos.f64 y) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) z))))
39.3%
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (/.f64 #s(literal 1 binary64) z)))
38.6%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) z) (* (sin y) x))) (/.f64 (fma.f64 z (/.f64 (cos.f64 y) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x))))
44.9%
(*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z (*.f64 (neg.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) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))
49.5%
(*.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) z (*.f64 (neg.f64 (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))
51.4%
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y x) y z))
93.2%
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z))
58.4%
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 (cos.f64 y) z))
37.0%
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z))
37.0%
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z))
37.0%
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z))
39.4%
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
37.0%
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) z)) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)))
37.0%
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)))
46.2%
#s(approx (/ 1 (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1))) (*.f64 (fma.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) (sin.f64 y)) #s(literal -1/2 binary64) (fma.f64 z (/.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (sin.f64 y)))) x))
92.8%
#s(approx (/ 1 (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1))) (*.f64 (-.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 (sin.f64 y) x) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z))) (neg.f64 z)))
46.4%
#s(approx (/ 1 (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1))) (*.f64 (neg.f64 (fma.f64 z (/.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 y)))) (neg.f64 x)))
58.2%
#s(approx (/ 1 (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1))) (*.f64 z (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))))
29.6%
#s(approx (/ 1 (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1))) (*.f64 x (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 y))))
89.5%
#s(approx (/ 1 (/ 1 (+ (* (cos y) z) (* (sin y) x)))) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x))
52.6%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 x y z))
32.3%
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (*.f64 x y) x) y)) (-.f64 z (*.f64 x y))))
35.4%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) z))))
43.1%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
16.7%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x))
17.0%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x))
50.6%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* x y) z) (fma.f64 (/.f64 (*.f64 y x) z) z z)))
50.5%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* x y) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
17.1%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* x y) z) (*.f64 y x)))
17.0%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 y y)) y (*.f64 x y))))
16.7%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/120 binary64) x)) y) y (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
16.7%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64))) (*.f64 y y) x) y)))
16.5%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
Compiler

Compiled 1 659 to 957 computations (42.3% saved)

simplify162.0ms (1.7%)

Memory
-9.7MiB live, 179.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (sin.f64 y) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x))
cost-diff0
#s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (/.f64 (sin.f64 y) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (/.f64 (sin.f64 y) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x))))
cost-diff128
(*.f64 #s(literal 2 binary64) y)
cost-diff0
#s(approx (* (cos y) z) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) z)) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))
cost-diff0
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) z)) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)))
cost-diff320
(fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) z))
cost-diff320
(fma.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) z)) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z))
cost-diff0
(fma.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64))) (*.f64 y y) x)
cost-diff0
(*.f64 (fma.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64))) (*.f64 y y) x) y)
cost-diff0
#s(approx (* (sin y) x) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64))) (*.f64 y y) x) y))
cost-diff0
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64))) (*.f64 y y) x) y)))
cost-diff0
#s(approx (cos y) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)
cost-diff0
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
cost-diff0
(/.f64 (sin.f64 y) z)
cost-diff0
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
cost-diff0
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z))
cost-diff704
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)
Rules
9 202×lower-fma.f32
9 190×lower-fma.f64
3 670×lower-*.f32
3 648×lower-*.f64
1 796×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
085615
0116608
1243594
2533585
31592585
44325577
57872577
08200555
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z))
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
x
(/.f64 (sin.f64 y) z)
(sin.f64 y)
y
z
(cos.f64 y)
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
z
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64))) (*.f64 y y) x) y)))
#s(approx (* (sin y) x) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64))) (*.f64 y y) x) y))
(*.f64 (fma.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64))) (*.f64 y y) x) y)
(fma.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64))) (*.f64 y y) x)
#s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64)))
(*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64))
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
#s(literal 1/120 binary64)
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) z)) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)))
#s(approx (* (cos y) z) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) z)) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) z)) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)
(fma.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) z)) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z))
(fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) z))
(*.f64 (*.f64 y y) z)
(*.f64 y y)
y
z
#s(literal -1/720 binary64)
(*.f64 #s(literal 1/24 binary64) z)
#s(literal 1/24 binary64)
(*.f64 #s(literal -1/2 binary64) z)
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (/.f64 (sin.f64 y) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x))))
#s(literal 1 binary64)
#s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (/.f64 (sin.f64 y) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)))
(/.f64 (sin.f64 y) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x))
(sin.f64 y)
y
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(cos.f64 (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
x
Outputs
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))))
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))
x
(/.f64 (sin.f64 y) z)
(sin.f64 y)
y
z
(cos.f64 y)
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
z
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64))) (*.f64 y y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) y) x) y)) (*.f64 y y) x) y)))
#s(approx (* (sin y) x) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64))) (*.f64 y y) x) y))
#s(approx (* (sin y) x) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) y) x) y)) (*.f64 y y) x) y))
(*.f64 (fma.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64))) (*.f64 y y) x) y)
(*.f64 (fma.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) y) x) y)) (*.f64 y y) x) y)
(fma.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64))) (*.f64 y y) x)
(fma.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) y) x) y)) (*.f64 y y) x)
#s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64)))
#s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) y) x) y))
(*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) y) x) y)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
#s(literal 1/120 binary64)
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) z)) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal -1/720 binary64) y) y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 y y) z)))
#s(approx (* (cos y) z) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) z)) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))
#s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal -1/720 binary64) y) y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 y y) z))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) z)) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)
(fma.f64 (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal -1/720 binary64) y) y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 y y) z)
(fma.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) z)) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z))
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal -1/720 binary64) y) y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) z))
(*.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) y) y #s(literal 1/24 binary64)) z)
(*.f64 (*.f64 y y) z)
(*.f64 y y)
y
z
#s(literal -1/720 binary64)
(*.f64 #s(literal 1/24 binary64) z)
#s(literal 1/24 binary64)
(*.f64 #s(literal -1/2 binary64) z)
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (/.f64 (sin.f64 y) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (/.f64 (sin.f64 y) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) x))))
#s(literal 1 binary64)
#s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (/.f64 (sin.f64 y) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)))
#s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (/.f64 (sin.f64 y) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) x)))
(/.f64 (sin.f64 y) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x))
(/.f64 (sin.f64 y) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) x))
(sin.f64 y)
y
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) x)
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
(cos.f64 (*.f64 #s(literal 2 binary64) y))
(cos.f64 (+.f64 y y))
(*.f64 #s(literal 2 binary64) y)
(+.f64 y y)
#s(literal 2 binary64)
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
x

localize450.0ms (4.8%)

Memory
-24.3MiB live, 614.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy5.277506003005565
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)
accuracy5.353068358798017
(/.f64 (sin.f64 y) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x))
accuracy15.564141523920235
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
accuracy36.50041832509588
#s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (/.f64 (sin.f64 y) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)))
accuracy0.328125
(*.f64 #s(literal 1/24 binary64) z)
accuracy7.7753256188351525
(*.f64 (*.f64 y y) z)
accuracy26.561485590693643
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) z)) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)))
accuracy31.206148522887645
#s(approx (* (cos y) z) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) z)) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))
accuracy9.861048253010118
(*.f64 (*.f64 y y) x)
accuracy30.996315932630118
#s(approx (* (sin y) x) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64))) (*.f64 y y) x) y))
accuracy31.278767612646913
#s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64)))
accuracy36.322515403307975
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64))) (*.f64 y y) x) y)))
accuracy0.12890625
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)
accuracy26.561485590693643
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
accuracy28.421401510946204
#s(approx (cos y) #s(literal 1 binary64))
accuracy0
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z))
accuracy0.08984375
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
accuracy0.11328125
(/.f64 (sin.f64 y) z)
accuracy4.317650636472862
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)
Samples
188.0ms74×2valid
102.0ms130×0valid
43.0ms39×1valid
29.0ms13×3valid
Compiler

Compiled 448 to 79 computations (82.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 317.0ms
ival-mult: 103.0ms (32.5% of total)
ival-cos: 73.0ms (23% of total)
adjust: 64.0ms (20.2% of total)
ival-add: 25.0ms (7.9% of total)
const: 15.0ms (4.7% of total)
ival-div: 11.0ms (3.5% of total)
ival-pow: 11.0ms (3.5% of total)
ival-sin: 6.0ms (1.9% of total)
ival-sub: 5.0ms (1.6% of total)
ival-neg: 3.0ms (0.9% of total)
exact: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series123.0ms (1.3%)

Memory
-22.2MiB live, 130.8MiB allocated
Counts
25 → 648
Calls
Call 1
Inputs
#s(alt (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) (patch (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) (patch #s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) #<representation binary64>) () ())
#s(alt (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) (patch (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 y) z) (patch (/.f64 (sin.f64 y) z) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) (patch #s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) (patch (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #<representation binary64>) () ())
#s(alt #s(approx (cos y) #s(literal 1 binary64)) (patch #s(approx (cos y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64))) (*.f64 y y) x) y))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64))) (*.f64 y y) x) y))) #<representation binary64>) () ())
#s(alt #s(approx (* (sin y) x) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64))) (*.f64 y y) x) y)) (patch #s(approx (* (sin y) x) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64))) (*.f64 y y) x) y)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64))) (*.f64 y y) x) y) (patch (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64))) (*.f64 y y) x) y) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64))) (*.f64 y y) x) (patch (fma.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64))) (*.f64 y y) x) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) z)) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (patch (fma.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) z)) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) z)) (patch (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) z)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) z)) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) (patch #s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) z)) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) #<representation binary64>) () ())
#s(alt #s(approx (* (cos y) z) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) z)) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)) (patch #s(approx (* (cos y) z) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) z)) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) y) (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (/.f64 (sin.f64 y) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (/.f64 (sin.f64 y) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (/.f64 (sin.f64 y) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x))) (patch #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (/.f64 (sin.f64 y) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 y) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)) (patch (/.f64 (sin.f64 y) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64))) (patch #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y y) z) (patch (*.f64 (*.f64 y y) z) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/24 binary64) z) (patch (*.f64 #s(literal 1/24 binary64) z) #<representation binary64>) () ())
#s(alt (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) (patch (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())
Outputs
#s(alt (* z (cos y)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) (patch (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) (patch (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) (patch (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) (patch (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) (patch (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) #<representation binary64>) () ())) ())
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#s(alt (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (taylor inf x) (#s(alt (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) (patch (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (taylor inf x) (#s(alt (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) (patch (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) (patch (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) (patch (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) (patch (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) (patch (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
Calls

162 calls:

TimeVariablePointExpression
20.0ms
y
@-inf
(* (+ (* x (/ (sin y) z)) (cos y)) z)
14.0ms
z
@inf
(+ (* (+ (* (* (* y y) z) -1/720) (* 1/24 z)) (* y y)) (* -1/2 z))
4.0ms
y
@-inf
(/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z))))
1.0ms
z
@0
(+ (* (+ (* (* (* y y) z) -1/720) (* 1/24 z)) (* y y)) (* -1/2 z))
1.0ms
y
@-inf
(/ (sin y) (* (+ (* (cos (* 2 y)) -1/2) 1/2) x))

simplify480.0ms (5.1%)

Memory
16.3MiB live, 302.8MiB allocated
Algorithm
egg-herbie
Rules
6 928×lower-*.f64
6 928×lower-*.f32
6 168×lower-fma.f64
6 168×lower-fma.f32
3 702×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
092013975
1335313583
0802312669
Stop Event
iter limit
node limit
Counts
648 → 639
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)))))))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* 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 (- (* y (- (* -3/2 z) (+ (* -1 z) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))))) (* -1 x))))
(+ z (* y (- (* y (- (+ (* -3/2 z) (* y (- (/ (pow x 3) (pow z 2)) (+ (* -1 (/ (* x (- (* -3/2 z) (+ (* -1 z) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))))) z)) (+ (* 1/6 x) (+ (* 1/2 x) (/ (* x (+ (* -1 (pow z 2)) (pow x 2))) (pow z 2)))))))) (+ (* -1 z) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))))) (* -1 x))))
(/ (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(/ (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(/ (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(/ (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(/ (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))))
(/ (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))))
(/ (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))))
(/ (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))))
(/ (* x (pow (sin y) 3)) (- 1/2 (* 1/2 (cos (* 2 y)))))
(+ (/ (* x (pow (sin y) 3)) (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* z (* (cos y) (pow (sin y) 4))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))
(+ (* z (- (* -1 (* z (+ (* -1 (/ (* (pow (cos y) 2) (pow (sin y) 5)) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (/ (* (pow (cos y) 2) (pow (sin y) 3)) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (* -1 (/ (* (cos y) (pow (sin y) 4)) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))) (/ (* x (pow (sin y) 3)) (- 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* z (- (* z (- (* z (- (/ (pow (cos y) 3) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (+ (/ (* (cos y) (* (sin y) (+ (* -1 (/ (* (pow (cos y) 2) (pow (sin y) 5)) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (/ (* (pow (cos y) 2) (pow (sin y) 3)) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (* x (- 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* (pow (cos y) 3) (pow (sin y) 4)) (* (pow x 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))))) (+ (* -1 (/ (* (pow (cos y) 2) (pow (sin y) 5)) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (/ (* (pow (cos y) 2) (pow (sin y) 3)) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (* -1 (/ (* (cos y) (pow (sin y) 4)) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))) (/ (* x (pow (sin y) 3)) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (- (+ (cos y) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (pow z 2)))) (* -1 (/ (* x (sin y)) z))))
(* z (- (+ (cos y) (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 2)))) (+ (* -1 (/ (* x (sin y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (+ (/ (* x (* (sin y) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))))) (* (pow z 3) (cos y))) (+ (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y))) (/ (* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 3) (pow (cos y) 2)))))))))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y)))) (/ (* (pow x 2) (pow (sin y) 2)) (* z (cos y)))) (* -1 (* x (sin y)))) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (pow (cos y) 2)) (+ (* -1 (/ (* x (* (sin y) (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))))) (cos y))) (/ (* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) z)) (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y)))) z)) (* -1 (* x (sin y)))) z)))))
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (- (* x (- (* 1/2 (/ (cos (* 2 y)) (* z (cos y)))) (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (* 1/2 (/ 1 (* z (cos y))))))) (* -1 (sin y)))) (* z (cos y)))
(+ (* x (- (* x (- (+ (* 1/2 (/ (cos (* 2 y)) (* z (cos y)))) (* x (- (/ (pow (sin y) 3) (* (pow z 2) (pow (cos y) 2))) (+ (* -1 (/ (* (sin y) (- (* 1/2 (/ (cos (* 2 y)) (* z (cos y)))) (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (* 1/2 (/ 1 (* z (cos y))))))) (* z (cos y)))) (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (cos y) 2))))))) (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (* 1/2 (/ 1 (* z (cos y))))))) (* -1 (sin y)))) (* z (cos y)))
(/ (* x (pow (sin y) 3)) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (+ (/ (* z (* (cos y) (pow (sin y) 4))) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))) (/ (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(* x (- (+ (* -1 (/ (+ (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 5))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3))) (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 3))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))) (pow x 2))) (/ (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* -1 (/ (* z (* (cos y) (pow (sin y) 4))) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))))
(* x (- (+ (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (/ (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (+ (* -1 (/ (* z (* (cos y) (pow (sin y) 4))) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (+ (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 5))) (* (pow x 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (+ (/ (* z (* (cos y) (* (sin y) (+ (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 5))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3))) (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 3))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (* (pow x 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (+ (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 3))) (* (pow x 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))) (/ (* (pow z 3) (* (pow (cos y) 3) (pow (sin y) 4))) (* (pow x 3) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))))))))
(/ (* x (pow (sin y) 3)) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* -1 (* x (+ (* -1 (/ (* z (* (cos y) (pow (sin y) 4))) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* -1 (/ (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))))))
(* -1 (* x (+ (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 3))) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 5))) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (* -1 (/ (* z (* (cos y) (pow (sin y) 4))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) x)) (* -1 (/ (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))))))
(* -1 (* x (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* -1 (/ (* z (* (cos y) (* (sin y) (+ (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 3))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))) (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 5))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))))) (- 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* (pow z 3) (* (pow (cos y) 3) (pow (sin y) 4))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))) x)) (+ (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 3))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))) (/ (* (pow z 2) (* (pow (cos y) 2) (pow (sin y) 5))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))) x)) (* -1 (/ (* z (* (cos y) (pow (sin y) 4))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) x)) (* -1 (/ (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))))))
(cos y)
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(/ (* x (sin y)) z)
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(/ (* x (sin y)) z)
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
1
(+ 1 (/ (* x y) z))
(+ 1 (* y (+ (* -1/2 y) (/ x z))))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x 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)) z))
(/ (* x (sin y)) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(cos y)
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(cos y)
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(/ y z)
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)))
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
z
(+ z (* x y))
(+ z (* y (- (* y (- (* -3/2 z) (+ (* -1 z) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))))) (* -1 x))))
(+ z (* y (- (* y (- (+ (* -3/2 z) (* y (- (/ (pow x 3) (pow z 2)) (+ (* -1 (/ (* x (- (* -3/2 z) (+ (* -1 z) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))))) z)) (+ (* 1/6 x) (+ (* 1/2 x) (/ (* x (+ (* -1 (pow z 2)) (pow x 2))) (pow z 2)))))))) (+ (* -1 z) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))))) (* -1 x))))
(/ (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(/ (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(/ (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(/ (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(/ (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))))
(/ (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))))
(/ (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))))
(/ (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))))
(/ (* x (pow (sin y) 3)) (- 1/2 (* 1/2 (cos (* 2 y)))))
(+ (/ (* x (pow (sin y) 3)) (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* z (* (cos y) (pow (sin y) 4))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))
(+ (* z (- (* -1 (* z (+ (* -1 (/ (* (pow (cos y) 2) (pow (sin y) 5)) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (/ (* (pow (cos y) 2) (pow (sin y) 3)) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (* -1 (/ (* (cos y) (pow (sin y) 4)) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))) (/ (* x (pow (sin y) 3)) (- 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* z (- (* z (- (* z (- (/ (pow (cos y) 3) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (+ (/ (* (cos y) (* (sin y) (+ (* -1 (/ (* (pow (cos y) 2) (pow (sin y) 5)) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (/ (* (pow (cos y) 2) (pow (sin y) 3)) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (* x (- 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* (pow (cos y) 3) (pow (sin y) 4)) (* (pow x 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))))) (+ (* -1 (/ (* (pow (cos y) 2) (pow (sin y) 5)) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (/ (* (pow (cos y) 2) (pow (sin y) 3)) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (* -1 (/ (* (cos y) (pow (sin y) 4)) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))) (/ (* x (pow (sin y) 3)) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (- (+ (cos y) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (pow z 2)))) (* -1 (/ (* x (sin y)) z))))
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(* -1 (/ (+ (* -1 (/ (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* -1 (/ (+ (* -1 (/ (* x (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* -1 (/ (- (/ (* (pow x 3) (* (sin y) (+ 1/2 (* -1/2 (cos (* 2 y)))))) (* z (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2))) (/ (* (pow x 2) (* (cos y) (+ 1/2 (* -1/2 (cos (* 2 y)))))) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2))) z))) z))) z))
(/ 1 (* x y))
(/ (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)) y)
(/ (+ (* (pow y 2) (+ (* 7/360 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)) y)
(/ (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 31/15120 (/ (pow y 2) x)) (* 7/360 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)) y)
(/ (sin y) (* x (+ 1/2 (* -1/2 (cos (* 2 y))))))
(/ (sin y) (* x (+ 1/2 (* -1/2 (cos (* 2 y))))))
(/ (sin y) (* x (+ 1/2 (* -1/2 (cos (* 2 y))))))
(/ (sin y) (* x (+ 1/2 (* -1/2 (cos (* 2 y))))))
(/ (sin y) (* x (+ 1/2 (* -1/2 (cos (* 2 y))))))
(/ (sin y) (* x (+ 1/2 (* -1/2 (cos (* 2 y))))))
(/ (sin y) (* x (+ 1/2 (* -1/2 (cos (* 2 y))))))
(/ (sin y) (* x (+ 1/2 (* -1/2 (cos (* 2 y))))))
(/ (sin y) (* x (+ 1/2 (* -1/2 (cos (* 2 y))))))
(/ (sin y) (* x (+ 1/2 (* -1/2 (cos (* 2 y))))))
(/ (sin y) (* x (+ 1/2 (* -1/2 (cos (* 2 y))))))
(/ (sin y) (* x (+ 1/2 (* -1/2 (cos (* 2 y))))))
(/ (sin y) (* x (+ 1/2 (* -1/2 (cos (* 2 y))))))
(/ (sin y) (* x (+ 1/2 (* -1/2 (cos (* 2 y))))))
(/ (sin y) (* x (+ 1/2 (* -1/2 (cos (* 2 y))))))
(/ (sin y) (* x (+ 1/2 (* -1/2 (cos (* 2 y))))))
(/ (sin y) (* x (+ 1/2 (* -1/2 (cos (* 2 y))))))
(/ (sin y) (* x (+ 1/2 (* -1/2 (cos (* 2 y))))))
(/ (sin y) (* x (+ 1/2 (* -1/2 (cos (* 2 y))))))
(/ (sin y) (* x (+ 1/2 (* -1/2 (cos (* 2 y))))))
(* -1/6 x)
(+ (* -1/6 x) (* 1/120 (* x (pow y 2))))
(+ (* -1/6 x) (* 1/120 (* x (pow y 2))))
(+ (* -1/6 x) (* 1/120 (* x (pow y 2))))
(* 1/120 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* 1/120 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* x (- (* 1/120 (pow y 2)) 1/6))
(* x (- (* 1/120 (pow y 2)) 1/6))
(* x (- (* 1/120 (pow y 2)) 1/6))
(* x (- (* 1/120 (pow y 2)) 1/6))
(* x (- (* 1/120 (pow y 2)) 1/6))
(* x (- (* 1/120 (pow y 2)) 1/6))
(* x (- (* 1/120 (pow y 2)) 1/6))
(* x (- (* 1/120 (pow y 2)) 1/6))
(* -1 (* x (+ 1/6 (* -1/120 (pow y 2)))))
(* -1 (* x (+ 1/6 (* -1/120 (pow y 2)))))
(* -1 (* x (+ 1/6 (* -1/120 (pow y 2)))))
(* -1 (* x (+ 1/6 (* -1/120 (pow y 2)))))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* 1/24 z)
(* 1/24 z)
(* 1/24 z)
(* 1/24 z)
(* 1/24 z)
(* 1/24 z)
(* 1/24 z)
(* 1/24 z)
(* 1/24 z)
(* 1/24 z)
(* 1/24 z)
(* 1/24 z)
(pow y 2)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(* x (pow y 2))
(* (pow y 2) (+ x (* -1/3 (* x (pow y 2)))))
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* 2/45 (* x (pow y 2)))))))
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* (pow y 2) (+ (* -1/315 (* x (pow y 2))) (* 2/45 x)))))))
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
Outputs
(* z (cos y))
(*.f64 (cos.f64 y) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) x) y z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (neg.f64 z) (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (neg.f64 z) (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (neg.f64 z) (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* y (- (* y (- (* -3/2 z) (+ (* -1 z) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))))) (* -1 x))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y x) y z)
(+ z (* y (- (* y (- (+ (* -3/2 z) (* y (- (/ (pow x 3) (pow z 2)) (+ (* -1 (/ (* x (- (* -3/2 z) (+ (* -1 z) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))))) z)) (+ (* 1/6 x) (+ (* 1/2 x) (/ (* x (+ (* -1 (pow z 2)) (pow x 2))) (pow z 2)))))))) (+ (* -1 z) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))))) (* -1 x))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -3/2 binary64) z (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 z z)) (fma.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal -1/2 binary64) z) z) (fma.f64 x #s(literal 2/3 binary64) (/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) x) (*.f64 z z))))) y (neg.f64 (neg.f64 z)))) y x) y z)
(/ (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 z z) z) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 x x) x))) (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z)) (cos.f64 y)) z)))
(/ (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 z z) z) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 x x) x))) (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z)) (cos.f64 y)) z)))
(/ (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 z z) z) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 x x) x))) (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z)) (cos.f64 y)) z)))
(/ (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 z z) z) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 x x) x))) (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z)) (cos.f64 y)) z)))
(/ (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 z z) z) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 x x) x))) (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z)) (cos.f64 y)) z)))
(/ (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 z z) z) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 x x) x))) (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z)) (cos.f64 y)) z)))
(/ (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 z z) z) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 x x) x))) (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z)) (cos.f64 y)) z)))
(/ (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 z z) z) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 x x) x))) (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z)) (cos.f64 y)) z)))
(/ (* x (pow (sin y) 3)) (- 1/2 (* 1/2 (cos (* 2 y)))))
(/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(+ (/ (* x (pow (sin y) 3)) (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* z (* (cos y) (pow (sin y) 4))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))
(fma.f64 x (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 (cos.f64 y) z) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (pow.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(+ (* z (- (* -1 (* z (+ (* -1 (/ (* (pow (cos y) 2) (pow (sin y) 5)) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (/ (* (pow (cos y) 2) (pow (sin y) 3)) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (* -1 (/ (* (cos y) (pow (sin y) 4)) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))) (/ (* x (pow (sin y) 3)) (- 1/2 (* 1/2 (cos (* 2 y))))))
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(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* 1/24 z)
(*.f64 #s(literal 1/24 binary64) z)
(* 1/24 z)
(*.f64 #s(literal 1/24 binary64) z)
(* 1/24 z)
(*.f64 #s(literal 1/24 binary64) z)
(* 1/24 z)
(*.f64 #s(literal 1/24 binary64) z)
(* 1/24 z)
(*.f64 #s(literal 1/24 binary64) z)
(* 1/24 z)
(*.f64 #s(literal 1/24 binary64) z)
(* 1/24 z)
(*.f64 #s(literal 1/24 binary64) z)
(* 1/24 z)
(*.f64 #s(literal 1/24 binary64) z)
(* 1/24 z)
(*.f64 #s(literal 1/24 binary64) z)
(* 1/24 z)
(*.f64 #s(literal 1/24 binary64) z)
(* 1/24 z)
(*.f64 #s(literal 1/24 binary64) z)
(* 1/24 z)
(*.f64 #s(literal 1/24 binary64) z)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (*.f64 y y) #s(literal -1/3 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 y y) #s(literal 2/45 binary64)) (*.f64 y y) #s(literal -1/3 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow y 2) (+ x (* -1/3 (* x (pow y 2)))))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 y y) x) x) (*.f64 y y))
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* 2/45 (* x (pow y 2)))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/3 binary64) x)) (*.f64 y y) x) (*.f64 y y))
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* (pow y 2) (+ (* -1/315 (* x (pow y 2))) (* 2/45 x)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 2/45 binary64) x)) (*.f64 y y) (*.f64 #s(literal -1/3 binary64) x)) (*.f64 y y) x) (*.f64 y y))
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)

rewrite196.0ms (2.1%)

Memory
9.8MiB live, 358.2MiB allocated
Rules
7 490×lower-fma.f32
7 478×lower-fma.f64
6 350×lower-*.f32
6 328×lower-*.f64
2 546×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
085548
0116541
1499369
23647369
09672358
Stop Event
iter limit
node limit
iter limit
Counts
25 → 277
Calls
Call 1
Inputs
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(/.f64 (sin.f64 y) z)
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)
#s(approx (cos y) #s(literal 1 binary64))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64))) (*.f64 y y) x) y)))
#s(approx (* (sin y) x) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64))) (*.f64 y y) x) y))
(*.f64 (fma.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64))) (*.f64 y y) x) y)
(fma.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64))) (*.f64 y y) x)
(fma.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) z)) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z))
(fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) z))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) z)) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)))
#s(approx (* (cos y) z) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) z)) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))
(*.f64 #s(literal 2 binary64) y)
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (/.f64 (sin.f64 y) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x))))
#s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (/.f64 (sin.f64 y) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)))
(/.f64 (sin.f64 y) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x))
#s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64)))
(*.f64 (*.f64 y y) x)
(*.f64 (*.f64 y y) z)
(*.f64 #s(literal 1/24 binary64) z)
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)
Outputs
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(*.f64 z (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 z z)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) z) (-.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) z) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) z) x)) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 z z))))
(/.f64 (*.f64 z (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 z z)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y)))
(/.f64 (*.f64 z (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) z) x)) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 z z))))
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (cos.f64 y))) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z))
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (cos.f64 y))) (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x)))
(fma.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 z)) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z))
(fma.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 z)) (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x)))
(fma.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z))
(fma.f64 (cos.f64 y) z (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x)))
(fma.f64 z (*.f64 (/.f64 (sin.f64 y) z) x) (*.f64 (cos.f64 y) z))
(fma.f64 z (cos.f64 y) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z))
(fma.f64 z (cos.f64 y) (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x)))
(+.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z) (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x)) (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x)))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
(*.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.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) (-.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y))))
(*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) z) x)) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 z z)))))
(pow.f64 (/.f64 (-.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y)) (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 z z)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
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(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
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(fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))) x (*.f64 #s(literal 1/2 binary64) x))
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(+.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x #s(literal 1/2 binary64)))
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eval159.0ms (1.7%)

Memory
-12.3MiB live, 384.3MiB allocated
Compiler

Compiled 24 512 to 1 669 computations (93.2% saved)

prune226.0ms (2.4%)

Memory
22.9MiB live, 548.5MiB allocated
Pruning

43 alts after pruning (36 fresh and 7 done)

PrunedKeptTotal
New90214916
Fresh112233
Picked325
Done055
Total91643959
Accuracy
100.0%
Counts
959 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
79.8%
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x))
48.8%
(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
58.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (cos.f64 y) z))))
34.8%
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))))
29.4%
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (/.f64 (sin.f64 y) (/.f64 (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64))))))
29.6%
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (/.f64 (sin.f64 y) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x))))
58.1%
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (/.f64 (cos.f64 y) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) z))))
39.3%
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (/.f64 #s(literal 1 binary64) z)))
16.9%
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) #s(approx (/ (sin y) (* (+ (* (cos (* 2 y)) -1/2) 1/2) x)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) y))))
17.1%
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) #s(approx (/ (sin y) (* (+ (* (cos (* 2 y)) -1/2) 1/2) x)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
44.9%
(*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z (*.f64 (neg.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) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))
49.5%
(*.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) z (*.f64 (neg.f64 (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))
51.4%
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y x) y z))
88.7%
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z))
88.7%
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 (fma.f64 (sin.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) z) x) (cos.f64 y)) z))
93.2%
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z))
93.2%
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 (fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) (sin.f64 y)) (cos.f64 y)) z))
58.4%
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 (cos.f64 y) z))
50.5%
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 x (/.f64 y z) #s(literal 1 binary64))) z))
36.6%
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (/.f64 (*.f64 (sin.f64 y) x) z)) z))
37.0%
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z))
37.0%
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z))
39.4%
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
89.5%
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (+ (* x (/ (sin y) z)) (cos y)) z) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)))
24.9%
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 (*.f64 y y) z) (*.f64 (*.f64 y y) z)) (neg.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 z z)))) (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 y y)) z (*.f64 #s(literal -1/24 binary64) z))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)))
37.0%
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)))
37.0%
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 #s(approx (+ (* (* (* y y) z) -1/720) (* 1/24 z)) (*.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 y y) z))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)))
37.0%
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 #s(approx (+ (* (+ (* (* (* y y) z) -1/720) (* 1/24 z)) (* y y)) (* -1/2 z)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) z)) (*.f64 y y) z)))
46.4%
#s(approx (/ 1 (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1))) (*.f64 (neg.f64 (fma.f64 z (/.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 y)))) (neg.f64 x)))
58.2%
#s(approx (/ 1 (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1))) (*.f64 z (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))))
29.6%
#s(approx (/ 1 (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1))) (*.f64 x (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 y))))
52.6%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 x y z))
32.3%
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (*.f64 x y) x) y)) (-.f64 z (*.f64 x y))))
35.4%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) z))))
43.1%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
16.7%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x))
17.0%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x))
17.1%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* x y) z) (*.f64 y x)))
17.0%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 y y)) y (*.f64 x y))))
16.7%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/120 binary64) x)) y) y (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
16.7%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 (*.f64 #s(literal 1/120 binary64) y) (*.f64 y x))) y) y x) y)))
16.5%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
Compiler

Compiled 2 724 to 820 computations (69.9% saved)

regimes114.0ms (1.2%)

Memory
-33.4MiB live, 286.7MiB allocated
Counts
90 → 1
Calls
Call 1
Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* x y) z) (*.f64 y x)))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 x y z))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* x y) z) (fma.f64 (/.f64 (*.f64 y x) z) z z)))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 x (/.f64 y z) #s(literal 1 binary64))) z))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (/.f64 #s(literal 1 binary64) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* x y) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) #s(approx (/ (sin y) (* (+ (* (cos (* 2 y)) -1/2) 1/2) x)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 y x z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64))) (*.f64 y y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 (*.f64 #s(literal 1/120 binary64) y) (*.f64 y x))) y) y x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 y y)) y (*.f64 x y))))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 #s(approx (+ (* (+ (* (* (* y y) z) -1/720) (* 1/24 z)) (* y y)) (* -1/2 z)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) z)) (*.f64 y y) z)))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (*.f64 x y) x) y)) (-.f64 z (*.f64 x y))))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 #s(approx (+ (* (* (* y y) z) -1/720) (* 1/24 z)) (*.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 y y) z))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)))
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(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))))
#s(approx (* (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (- (* (cos y) z) (* (sin y) x)))) (*.f64 (-.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (cos.f64 y)) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (neg.f64 z)) (*.f64 x (/.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) z)) (neg.f64 z)))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)) (-.f64 (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x))) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64))))
Outputs
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
Calls

4 calls:

29.0ms
z
26.0ms
y
26.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
26.0ms
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)

regimes66.0ms (0.7%)

Memory
-7.0MiB live, 120.1MiB allocated
Counts
46 → 3
Calls
Call 1
Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* x y) z) (*.f64 y x)))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 x y z))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* x y) z) (fma.f64 (/.f64 (*.f64 y x) z) z z)))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 x (/.f64 y z) #s(literal 1 binary64))) z))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (/.f64 #s(literal 1 binary64) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* x y) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) #s(approx (/ (sin y) (* (+ (* (cos (* 2 y)) -1/2) 1/2) x)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 y x z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64))) (*.f64 y y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 (*.f64 #s(literal 1/120 binary64) y) (*.f64 y x))) y) y x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 y y)) y (*.f64 x y))))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 #s(approx (+ (* (+ (* (* (* y y) z) -1/720) (* 1/24 z)) (* y y)) (* -1/2 z)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) z)) (*.f64 y y) z)))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (*.f64 x y) x) y)) (-.f64 z (*.f64 x y))))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 #s(approx (+ (* (* (* y y) z) -1/720) (* 1/24 z)) (*.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 y y) z))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) z)) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)))
#s(approx (* (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (- (* (cos y) z) (* (sin y) x)))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) x) z)) (neg.f64 y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/120 binary64) x)) y) y (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) #s(approx (/ (sin y) (* (+ (* (cos (* 2 y)) -1/2) 1/2) x)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) y))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 (*.f64 z z) z (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 (*.f64 x y) x) y (*.f64 z (-.f64 z (*.f64 x y))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 (*.f64 z z) z (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x y) x) y (*.f64 z (-.f64 z (*.f64 x y)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 x x) (*.f64 (*.f64 z z) z))) y (/.f64 x (*.f64 (neg.f64 z) z))) y (/.f64 #s(literal 1 binary64) z))))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 (*.f64 y y) z) (*.f64 (*.f64 y y) z)) (neg.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 z z)))) (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 y y)) z (*.f64 #s(literal -1/24 binary64) z))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 (cos.f64 y) z))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (/.f64 (*.f64 (sin.f64 y) x) z)) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (cos.f64 y) z))))
Outputs
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
Calls

4 calls:

15.0ms
z
14.0ms
y
13.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
13.0ms
x
Results
AccuracySegmentsBranch
87.5%3x
79.8%1y
88.3%3z
79.8%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes53.0ms (0.6%)

Memory
29.7MiB live, 108.3MiB allocated
Counts
42 → 4
Calls
Call 1
Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* x y) z) (*.f64 y x)))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 x y z))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* x y) z) (fma.f64 (/.f64 (*.f64 y x) z) z z)))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 x (/.f64 y z) #s(literal 1 binary64))) z))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (/.f64 #s(literal 1 binary64) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* x y) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) #s(approx (/ (sin y) (* (+ (* (cos (* 2 y)) -1/2) 1/2) x)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 y x z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64))) (*.f64 y y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 (*.f64 #s(literal 1/120 binary64) y) (*.f64 y x))) y) y x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 y y)) y (*.f64 x y))))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 #s(approx (+ (* (+ (* (* (* y y) z) -1/720) (* 1/24 z)) (* y y)) (* -1/2 z)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) z)) (*.f64 y y) z)))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (*.f64 x y) x) y)) (-.f64 z (*.f64 x y))))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 #s(approx (+ (* (* (* y y) z) -1/720) (* 1/24 z)) (*.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 y y) z))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) z)) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)))
#s(approx (* (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (- (* (cos y) z) (* (sin y) x)))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) x) z)) (neg.f64 y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/120 binary64) x)) y) y (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) #s(approx (/ (sin y) (* (+ (* (cos (* 2 y)) -1/2) 1/2) x)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) y))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 (*.f64 z z) z (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 (*.f64 x y) x) y (*.f64 z (-.f64 z (*.f64 x y))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 (*.f64 z z) z (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x y) x) y (*.f64 z (-.f64 z (*.f64 x y)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 x x) (*.f64 (*.f64 z z) z))) y (/.f64 x (*.f64 (neg.f64 z) z))) y (/.f64 #s(literal 1 binary64) z))))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 (*.f64 y y) z) (*.f64 (*.f64 y y) z)) (neg.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 z z)))) (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 y y)) z (*.f64 #s(literal -1/24 binary64) z))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 (cos.f64 y) z))
Outputs
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
Calls

4 calls:

13.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
13.0ms
x
12.0ms
z
12.0ms
y
Results
AccuracySegmentsBranch
67.3%6(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
79.6%4y
75.2%3x
73.4%3z
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes42.0ms (0.4%)

Memory
6.0MiB live, 83.8MiB allocated
Counts
40 → 3
Calls
Call 1
Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* x y) z) (*.f64 y x)))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 x y z))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* x y) z) (fma.f64 (/.f64 (*.f64 y x) z) z z)))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 x (/.f64 y z) #s(literal 1 binary64))) z))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (/.f64 #s(literal 1 binary64) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* x y) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) #s(approx (/ (sin y) (* (+ (* (cos (* 2 y)) -1/2) 1/2) x)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 y x z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64))) (*.f64 y y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 (*.f64 #s(literal 1/120 binary64) y) (*.f64 y x))) y) y x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 y y)) y (*.f64 x y))))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 #s(approx (+ (* (+ (* (* (* y y) z) -1/720) (* 1/24 z)) (* y y)) (* -1/2 z)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) z)) (*.f64 y y) z)))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (*.f64 x y) x) y)) (-.f64 z (*.f64 x y))))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 #s(approx (+ (* (* (* y y) z) -1/720) (* 1/24 z)) (*.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 y y) z))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) z)) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)))
#s(approx (* (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (- (* (cos y) z) (* (sin y) x)))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) x) z)) (neg.f64 y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/120 binary64) x)) y) y (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) #s(approx (/ (sin y) (* (+ (* (cos (* 2 y)) -1/2) 1/2) x)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) y))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 (*.f64 z z) z (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 (*.f64 x y) x) y (*.f64 z (-.f64 z (*.f64 x y))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 (*.f64 z z) z (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x y) x) y (*.f64 z (-.f64 z (*.f64 x y)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 x x) (*.f64 (*.f64 z z) z))) y (/.f64 x (*.f64 (neg.f64 z) z))) y (/.f64 #s(literal 1 binary64) z))))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 (*.f64 y y) z) (*.f64 (*.f64 y y) z)) (neg.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 z z)))) (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 y y)) z (*.f64 #s(literal -1/24 binary64) z))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
Outputs
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
Calls

3 calls:

14.0ms
x
13.0ms
y
11.0ms
z
Results
AccuracySegmentsBranch
67.0%3z
67.5%3x
72.8%3y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes53.0ms (0.6%)

Memory
-18.4MiB live, 97.8MiB allocated
Counts
39 → 1
Calls
Call 1
Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* x y) z) (*.f64 y x)))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 x y z))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* x y) z) (fma.f64 (/.f64 (*.f64 y x) z) z z)))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 x (/.f64 y z) #s(literal 1 binary64))) z))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (/.f64 #s(literal 1 binary64) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* x y) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) #s(approx (/ (sin y) (* (+ (* (cos (* 2 y)) -1/2) 1/2) x)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 y x z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64))) (*.f64 y y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 (*.f64 #s(literal 1/120 binary64) y) (*.f64 y x))) y) y x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 y y)) y (*.f64 x y))))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 #s(approx (+ (* (+ (* (* (* y y) z) -1/720) (* 1/24 z)) (* y y)) (* -1/2 z)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) z)) (*.f64 y y) z)))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (*.f64 x y) x) y)) (-.f64 z (*.f64 x y))))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 #s(approx (+ (* (* (* y y) z) -1/720) (* 1/24 z)) (*.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 y y) z))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) z)) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)))
#s(approx (* (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (- (* (cos y) z) (* (sin y) x)))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) x) z)) (neg.f64 y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/120 binary64) x)) y) y (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) #s(approx (/ (sin y) (* (+ (* (cos (* 2 y)) -1/2) 1/2) x)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) y))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 (*.f64 z z) z (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 (*.f64 x y) x) y (*.f64 z (-.f64 z (*.f64 x y))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 (*.f64 z z) z (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x y) x) y (*.f64 z (-.f64 z (*.f64 x y)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 x x) (*.f64 (*.f64 z z) z))) y (/.f64 x (*.f64 (neg.f64 z) z))) y (/.f64 #s(literal 1 binary64) z))))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 (*.f64 y y) z) (*.f64 (*.f64 y y) z)) (neg.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 z z)))) (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 y y)) z (*.f64 #s(literal -1/24 binary64) z))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)))
Outputs
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 x y z))
Calls

4 calls:

13.0ms
y
13.0ms
x
13.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
11.0ms
z
Results
AccuracySegmentsBranch
52.6%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
52.6%1z
52.6%1x
52.6%1y
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes7.0ms (0.1%)

Memory
17.3MiB live, 17.3MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* x y) z) (*.f64 y x)))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
Outputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* x y) z) (*.f64 y x)))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* x y) z) (*.f64 y x)))
Calls

4 calls:

2.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
2.0ms
z
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
39.4%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
39.4%1y
43.7%3z
44.8%3x
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes9.0ms (0.1%)

Memory
-26.2MiB live, 15.1MiB 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 (+ (* x y) z) (*.f64 y x)))
Outputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* x y) z) (*.f64 y x)))
Calls

4 calls:

4.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
1.0ms
y
1.0ms
x
1.0ms
z
Results
AccuracySegmentsBranch
17.1%1y
17.1%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
17.1%1z
17.1%1x
Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch58.0ms (0.6%)

Memory
16.8MiB live, 54.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
37.0ms
5.508153727024008e+151
3.779982725026806e+155
18.0ms
-5.14102604891171e+215
-9.673924423465436e+206
Samples
45.0ms272×0valid
Compiler

Compiled 372 to 252 computations (32.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-sin: 28.0ms (72.2% of total)
ival-cos: 5.0ms (12.9% of total)
ival-mult: 3.0ms (7.7% of total)
ival-add: 1.0ms (2.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch66.0ms (0.7%)

Memory
-5.6MiB live, 68.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
8.770202759645477e-20
2.0016447544424086e-9
31.0ms
-0.026252530040749424
-1.351146258842585e-5
12.0ms
-3.8055848715329543e+230
-1.7505826070537582e+230
Samples
30.0ms368×0valid
Compiler

Compiled 609 to 380 computations (37.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-sin: 6.0ms (33.8% of total)
ival-cos: 5.0ms (28.1% of total)
ival-mult: 5.0ms (28.1% of total)
ival-add: 2.0ms (11.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch43.0ms (0.5%)

Memory
10.4MiB live, 52.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
2.0016447544424086e-9
824.1821498007384
18.0ms
-3311.6139291620057
-2.1525227415846384
Samples
29.0ms288×0valid
Compiler

Compiled 519 to 320 computations (38.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-sin: 6.0ms (37.8% of total)
ival-cos: 5.0ms (31.5% of total)
ival-mult: 4.0ms (25.2% of total)
ival-add: 1.0ms (6.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch40.0ms (0.4%)

Memory
17.5MiB live, 52.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
9.052847705058556e+164
3.7394615336723035e+168
23.0ms
-1.74663720012087e+184
-8.474576878881341e+175
Samples
28.0ms272×0valid
Compiler

Compiled 321 to 201 computations (37.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-sin: 6.0ms (37.4% of total)
ival-cos: 5.0ms (31.1% of total)
ival-mult: 3.0ms (18.7% of total)
ival-add: 1.0ms (6.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify33.0ms (0.4%)

Memory
-26.4MiB live, 9.4MiB allocated
Algorithm
egg-herbie
Rules
10×*-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079319
187319
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(if (<=.f64 z #s(literal -1000000000000000038893577551088388431307372492952020133343023820076912942893848967630799656078777013873264603119412132913531706114094375616540183672212689403544345862626169435445664558076559462193222406635520 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 55999999999999997473115937065279195973447105009688783705822507993993485720425602285394126815712537857529213947378725183146710598015314754031865659654144 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
(if (<=.f64 y #s(literal -360000000000000018607506635168131878489897932691740453764668112506866752747931464670556961852138150082510290357672906656705973797266014215627650092676951870721399874462254118221355433154364133755611471606373763182607292801885405184 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal -3530822107858469/144115188075855872 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal 4835703278458517/2417851639229258349412352 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)))))
(if (<=.f64 y #s(literal -2476979795053773/1125899906842624 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 1116892707587883/36028797018963968 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 x y z))
(if (<=.f64 x #s(literal -1249999999999999896388489384558670655757977130310797682820155507262692324755805327772526570613038278002660782045820293391641935389637748886335733558488376352256942581984936253718528 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* x y) z) (*.f64 y x))) (if (<=.f64 x #s(literal 47999999999999998448905493584149146520395700015145092392815710308129766625293493661715599781319184686305864414433990977665685606315146234649173255018533928090680164352 binary64)) #s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* x y) z) (*.f64 y x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* x y) z) (*.f64 y x)))
Outputs
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(if (<=.f64 z #s(literal -1000000000000000038893577551088388431307372492952020133343023820076912942893848967630799656078777013873264603119412132913531706114094375616540183672212689403544345862626169435445664558076559462193222406635520 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 55999999999999997473115937065279195973447105009688783705822507993993485720425602285394126815712537857529213947378725183146710598015314754031865659654144 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
(if (<=.f64 z #s(literal -1000000000000000038893577551088388431307372492952020133343023820076912942893848967630799656078777013873264603119412132913531706114094375616540183672212689403544345862626169435445664558076559462193222406635520 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 55999999999999997473115937065279195973447105009688783705822507993993485720425602285394126815712537857529213947378725183146710598015314754031865659654144 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 x (sin.f64 y))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))
(if (<=.f64 y #s(literal -360000000000000018607506635168131878489897932691740453764668112506866752747931464670556961852138150082510290357672906656705973797266014215627650092676951870721399874462254118221355433154364133755611471606373763182607292801885405184 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal -3530822107858469/144115188075855872 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal 4835703278458517/2417851639229258349412352 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)))))
(if (<=.f64 y #s(literal -360000000000000018607506635168131878489897932691740453764668112506866752747931464670556961852138150082510290357672906656705973797266014215627650092676951870721399874462254118221355433154364133755611471606373763182607292801885405184 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 y #s(literal -3530822107858469/144115188075855872 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) (if (<=.f64 y #s(literal 4835703278458517/2417851639229258349412352 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))))))
(if (<=.f64 y #s(literal -2476979795053773/1125899906842624 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 1116892707587883/36028797018963968 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
(if (<=.f64 y #s(literal -2476979795053773/1125899906842624 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 y #s(literal 1116892707587883/36028797018963968 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 x y z))
(if (<=.f64 x #s(literal -1249999999999999896388489384558670655757977130310797682820155507262692324755805327772526570613038278002660782045820293391641935389637748886335733558488376352256942581984936253718528 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* x y) z) (*.f64 y x))) (if (<=.f64 x #s(literal 47999999999999998448905493584149146520395700015145092392815710308129766625293493661715599781319184686305864414433990977665685606315146234649173255018533928090680164352 binary64)) #s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* x y) z) (*.f64 y x)))))
(if (<=.f64 x #s(literal -1249999999999999896388489384558670655757977130310797682820155507262692324755805327772526570613038278002660782045820293391641935389637748886335733558488376352256942581984936253718528 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* x y) z) (*.f64 x y))) (if (<=.f64 x #s(literal 47999999999999998448905493584149146520395700015145092392815710308129766625293493661715599781319184686305864414433990977665685606315146234649173255018533928090680164352 binary64)) #s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* x y) z) (*.f64 x y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* x y) z) (*.f64 y x)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* x y) z) (*.f64 x y)))

soundness942.0ms (10%)

Memory
28.3MiB live, 656.5MiB allocated
Rules
12 858×lower-fma.f64
12 858×lower-fma.f32
11 480×lower-fma.f64
11 480×lower-fma.f32
9 656×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07838573
127928311
083417941
0109682
1344678
2991668
32652662
44669662
56964662
08196606
0821
01321
12921
218521
3183621
0839120
0106311950
1391311650
0843510865
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 326 to 151 computations (53.7% saved)

preprocess101.0ms (1.1%)

Memory
-22.7MiB live, 151.7MiB allocated
Compiler

Compiled 314 to 108 computations (65.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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