Graphics.Rasterific.Svg.PathConverter:segmentToBezier from rasterific-svg-0.2.3.1, C

Time bar (total: 9.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

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

Compiled 11 to 10 computations (9.1% saved)

sample1.3s (14.7%)

Memory
6.1MiB live, 1 453.4MiB allocated
Samples
982.0ms8 253×0valid
0.0ms2valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 668.0ms
ival-sin: 283.0ms (42.4% of total)
ival-cos: 221.0ms (33.1% of total)
ival-mult: 78.0ms (11.7% of total)
ival-add: 76.0ms (11.4% of total)
ival-true: 6.0ms (0.9% of total)
ival-assert: 3.0ms (0.4% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain137.0ms (1.5%)

Memory
-30.0MiB live, 172.3MiB 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
77.0ms512×0valid
Compiler

Compiled 64 to 28 computations (56.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-sin: 24.0ms (55.7% of total)
ival-cos: 10.0ms (23.2% of total)
ival-add: 5.0ms (11.6% of total)
ival-mult: 3.0ms (7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess67.0ms (0.7%)

Memory
1.1MiB live, 39.2MiB allocated
Algorithm
egg-herbie
Rules
334×sub-neg
294×cancel-sign-sub-inv
286×associate-+l-
272×distribute-rgt-in
236×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03590
19282
223481
358881
4102981
5141481
6169681
7188881
8199581
9205581
10206981
089
0139
1189
2259
3279
0278
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
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify4.0ms (0%)

Memory
6.5MiB live, 6.5MiB 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
24×lower-+.f32
20×lower-+.f64
12×lower-fma.f64
12×lower-fma.f32
10×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
01324
11824
22524
32724
02723
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)

localize36.0ms (0.4%)

Memory
-2.9MiB live, 70.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(cos.f64 y)
accuracy0.00390625
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
accuracy0.015625
(+.f64 x (sin.f64 y))
accuracy0.12890625
(*.f64 z (cos.f64 y))
Samples
25.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-sin: 6.0ms (40.3% of total)
ival-cos: 5.0ms (33.6% of total)
ival-add: 2.0ms (13.4% of total)
ival-mult: 2.0ms (13.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
18.1MiB live, 18.1MiB 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 (+ (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) (* 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 (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 (+ 1 (+ (/ (sin y) x) (/ (* 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 (+ 1 (+ (/ (sin y) x) (/ (* 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 (+ 1 (+ (/ (sin y) x) (/ (* 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 (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) (* z (cos y))) x)) 1))) (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) (* z (cos y))) x)) 1))) (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) (* z (cos y))) x)) 1))) (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 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 (+ x (+ 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 (+ x (+ z (* y (+ 1 (* -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 (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 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 z) (/ (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 z) (/ (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 z) (/ (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 (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 (taylor inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (sin y) x))) (taylor inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (sin y) x))) (taylor inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (sin y) x))) (taylor inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#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 (+ x (* y (+ 1 (* -1/6 (pow y 2))))) (taylor 0 y) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) (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
@0
(* z (cos y))
0.0ms
y
@inf
(+ (+ x (sin y)) (* z (cos y)))
0.0ms
z
@0
(+ (+ x (sin y)) (* z (cos y)))
0.0ms
y
@-inf
(+ (+ x (sin y)) (* z (cos y)))

simplify199.0ms (2.2%)

Memory
12.6MiB live, 166.6MiB allocated
Algorithm
egg-herbie
Rules
11 712×lower-fma.f64
11 712×lower-fma.f32
3 160×lower-*.f64
3 160×lower-*.f32
2 322×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109647
1310643
2852633
32193631
44247631
57326631
08046578
Stop Event
iter limit
node limit
Counts
108 → 101
Calls
Call 1
Inputs
(+ (sin y) (* z (cos y)))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(+ x z)
(+ x (+ y z))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 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 z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (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)))))
(sin y)
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
x
(* x (+ 1 (/ (sin y) x)))
(* x (+ 1 (/ (sin y) x)))
(* x (+ 1 (/ (sin y) x)))
x
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
x
(+ x y)
(+ x (* y (+ 1 (* -1/6 (pow y 2)))))
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(+ 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
(+ (sin y) (* z (cos y)))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(+ x (+ (sin y) (* z (cos y))))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+ x (+ (sin y) (* z (cos y))))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+ x (+ (sin y) (* z (cos y))))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+ x z)
(+.f64 x z)
(+ x (+ y z))
(+.f64 (+.f64 x y) z)
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z))
(+ x (+ (sin y) (* z (cos y))))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+ x (+ (sin y) (* z (cos y))))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+ x (+ (sin y) (* z (cos y))))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+ x (+ (sin y) (* z (cos y))))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+ x (+ (sin y) (* z (cos y))))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+ x (+ (sin y) (* z (cos y))))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+ x (+ (sin y) (* z (cos y))))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+ x (+ (sin y) (* z (cos y))))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+ x (sin y))
(+.f64 x (sin.f64 y))
(+ x (+ (sin y) (* z (cos y))))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+ x (+ (sin y) (* z (cos y))))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+ x (+ (sin y) (* z (cos y))))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(sin y)
(sin.f64 y)
(+ x (sin y))
(+.f64 x (sin.f64 y))
(+ x (sin y))
(+.f64 x (sin.f64 y))
(+ x (sin y))
(+.f64 x (sin.f64 y))
x
(* x (+ 1 (/ (sin y) x)))
(+.f64 x (sin.f64 y))
(* x (+ 1 (/ (sin y) x)))
(+.f64 x (sin.f64 y))
(* x (+ 1 (/ (sin y) x)))
(+.f64 x (sin.f64 y))
x
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(+.f64 x (sin.f64 y))
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(+.f64 x (sin.f64 y))
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(+.f64 x (sin.f64 y))
x
(+ x y)
(+.f64 x y)
(+ x (* y (+ 1 (* -1/6 (pow y 2)))))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x)
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(fma.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)
(+ x (sin y))
(+.f64 x (sin.f64 y))
(+ x (sin y))
(+.f64 x (sin.f64 y))
(+ x (sin y))
(+.f64 x (sin.f64 y))
(+ x (sin y))
(+.f64 x (sin.f64 y))
(+ x (sin y))
(+.f64 x (sin.f64 y))
(+ x (sin y))
(+.f64 x (sin.f64 y))
(+ x (sin y))
(+.f64 x (sin.f64 y))
(+ x (sin y))
(+.f64 x (sin.f64 y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(*.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 (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)
(+ 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)

rewrite231.0ms (2.5%)

Memory
-16.6MiB live, 286.3MiB allocated
Rules
4 470×lower-*.f32
4 468×lower-*.f64
4 404×lower-fma.f64
4 404×lower-fma.f32
2 454×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
01321
14321
236221
3554821
0832020
Stop Event
iter limit
node limit
iter limit
Counts
5 → 172
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
(*.f64 (/.f64 (fma.f64 (neg.f64 (*.f64 z z)) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 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 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))))
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(*.f64 (neg.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (sin.f64 y)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)))))
(*.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))))
(*.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)) (/.f64 (+.f64 (sin.f64 y) x) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))))
(*.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)) (*.f64 (+.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)))))
(*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))))
(*.f64 (+.f64 (sin.f64 y) x) (/.f64 (-.f64 x (sin.f64 y)) (-.f64 x (sin.f64 y))))
(*.f64 (+.f64 (sin.f64 y) x) (*.f64 (-.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y)))))
(pow.f64 (/.f64 (-.f64 (sin.f64 y) x) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))
(pow.f64 (+.f64 (sin.f64 y) x) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (pow.f64 (sin.f64 y) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y)))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (pow.f64 (sin.f64 y) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) (pow.f64 (sin.f64 y) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) x (-.f64 (pow.f64 (sin.f64 y) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x (sin.f64 y)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) (*.f64 (-.f64 x (sin.f64 y)) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (-.f64 x (sin.f64 y))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) (*.f64 (-.f64 x (sin.f64 y)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x (sin.f64 y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) (*.f64 (-.f64 x (sin.f64 y)) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x (sin.f64 y)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) (*.f64 (-.f64 x (sin.f64 y)) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x (sin.f64 y)))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) (*.f64 (-.f64 x (sin.f64 y)) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)))) (neg.f64 (-.f64 (sin.f64 y) x)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (-.f64 x (sin.f64 y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (pow.f64 (sin.f64 y) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (pow.f64 (sin.f64 y) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 x (sin.f64 y))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) (pow.f64 (sin.f64 y) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) x (-.f64 (pow.f64 (sin.f64 y) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 x (sin.f64 y))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (sin.f64 y) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (sin.f64 y))) (*.f64 (-.f64 x (sin.f64 y)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)))) (pow.f64 (-.f64 x (sin.f64 y)) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (*.f64 (-.f64 x (sin.f64 y)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (sin.f64 y) x))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (pow.f64 (sin.f64 y) #s(literal 6 binary64))) (*.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (pow.f64 (sin.f64 y) #s(literal 6 binary64))) (*.f64 (-.f64 x (sin.f64 y)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 y) x) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x)))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) (pow.f64 (sin.f64 y) #s(literal 9 binary64))) (*.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) x (-.f64 (pow.f64 (sin.f64 y) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))))))
(/.f64 (neg.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (neg.f64 (-.f64 x (sin.f64 y))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))))
(/.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 x (sin.f64 y)))
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)))
(neg.f64 (neg.f64 (+.f64 (sin.f64 y) x)))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (fma.f64 (+.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) (*.f64 (-.f64 x (sin.f64 y)) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (+.f64 (sin.f64 y) x) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) (*.f64 (-.f64 x (sin.f64 y)) #s(literal 2 binary64)))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) (*.f64 (-.f64 x (sin.f64 y)) #s(literal 2 binary64)))))
(fma.f64 x (/.f64 x (-.f64 x (sin.f64 y))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) (*.f64 (-.f64 x (sin.f64 y)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)) (-.f64 (sin.f64 y) x)) (/.f64 (*.f64 x x) (-.f64 (sin.f64 y) x)))
(-.f64 (*.f64 x (/.f64 x (-.f64 x (sin.f64 y)))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) (*.f64 (-.f64 x (sin.f64 y)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sin.f64 y) x))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sin.f64 y) x)) #s(literal 1 binary64)))
(+.f64 (*.f64 x (/.f64 x (-.f64 x (sin.f64 y)))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) (*.f64 (-.f64 x (sin.f64 y)) #s(literal 2 binary64)))))
(+.f64 (sin.f64 y) x)
(+.f64 x (sin.f64 y))
(pow.f64 (sin.f64 y) #s(literal 1 binary64))
(sin.f64 y)
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) z)) #s(literal 1 binary64)))
(cos.f64 y)

eval62.0ms (0.7%)

Memory
-18.1MiB live, 81.2MiB allocated
Compiler

Compiled 6 709 to 585 computations (91.3% saved)

prune54.0ms (0.6%)

Memory
30.2MiB live, 106.7MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New26013273
Fresh000
Picked101
Done000
Total26113274
Accuracy
100.0%
Counts
274 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.9%
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)))
99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))))
99.9%
(+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))
67.5%
(+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y)))
85.9%
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
58.0%
(*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 z z) (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y))))
55.4%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z)))
57.3%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)))
58.0%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y)))
63.2%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x y) z))
62.0%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y)))
67.9%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))
40.0%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
Compiler

Compiled 412 to 240 computations (41.7% saved)

simplify466.0ms (5.1%)

Memory
-6.9MiB live, 109.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))
cost-diff0
(-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)))
cost-diff128
(/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (sin.f64 y) x))
cost-diff128
(+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y)))
cost-diff0
(*.f64 z #s(approx (cos y) #s(literal 1 binary64)))
cost-diff0
(sin.f64 y)
cost-diff0
(+.f64 x (sin.f64 y))
cost-diff128
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
cost-diff0
(fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z))
cost-diff0
(fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64))
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z))
cost-diff0
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z)))
cost-diff0
(+.f64 x z)
cost-diff0
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))
cost-diff0
(sin.f64 y)
cost-diff0
(cos.f64 y)
cost-diff0
(fma.f64 (cos.f64 y) z x)
cost-diff0
(+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))
Rules
10 744×lower-fma.f32
10 734×lower-fma.f64
2 192×lower-*.f32
2 184×lower-*.f64
1 844×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036217
063215
1102215
2169215
3346215
4788215
51447215
62617215
74654215
85770215
96323215
106491215
116608215
126668215
136670215
146671215
156700215
166701215
176701215
187535215
197795215
207795215
217795215
227807215
07807211
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))
(fma.f64 (cos.f64 y) z x)
(cos.f64 y)
y
z
x
(sin.f64 y)
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))
(+.f64 x z)
x
z
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z))
#s(literal -1/6 binary64)
y
(*.f64 #s(literal -1/2 binary64) z)
#s(literal -1/2 binary64)
z
#s(literal 1 binary64)
(+.f64 x z)
x
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
(+.f64 x (sin.f64 y))
x
(sin.f64 y)
y
(*.f64 z #s(approx (cos y) #s(literal 1 binary64)))
z
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y)))
(/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (sin.f64 y) x))
(-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)))
#s(literal 1/2 binary64)
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))
(cos.f64 (+.f64 y y))
(+.f64 y y)
y
(*.f64 x x)
x
(-.f64 (sin.f64 y) x)
(sin.f64 y)
(*.f64 z (cos.f64 y))
z
(cos.f64 y)
Outputs
(+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z x)
(fma.f64 z (cos.f64 y) x)
(cos.f64 y)
y
z
x
(sin.f64 y)
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))
(+.f64 x z)
x
z
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z))
#s(literal -1/6 binary64)
y
(*.f64 #s(literal -1/2 binary64) z)
#s(literal -1/2 binary64)
z
#s(literal 1 binary64)
(+.f64 x z)
x
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x))
(+.f64 x (sin.f64 y))
(+.f64 (sin.f64 y) x)
x
(sin.f64 y)
y
(*.f64 z #s(approx (cos y) #s(literal 1 binary64)))
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)
z
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1/2 binary64))) (-.f64 x (sin.f64 y))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (sin.f64 y) x))
(/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1/2 binary64))) (-.f64 x (sin.f64 y)))
(-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)))
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) (fma.f64 (neg.f64 x) x #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))
(cos.f64 (+.f64 y y))
(+.f64 y y)
y
(*.f64 x x)
x
(-.f64 (sin.f64 y) x)
(sin.f64 y)
(*.f64 z (cos.f64 y))
z
(cos.f64 y)

localize274.0ms (3%)

Memory
17.1MiB live, 313.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y)))
accuracy0.12890625
(*.f64 z (cos.f64 y))
accuracy12.709557580432111
(-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)))
accuracy18.800445414346434
(/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (sin.f64 y) x))
accuracy0.00390625
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
accuracy0.015625
(+.f64 x (sin.f64 y))
accuracy0.12890625
(*.f64 z #s(approx (cos y) #s(literal 1 binary64)))
accuracy28.421401510946204
#s(approx (cos y) #s(literal 1 binary64))
accuracy0.0234375
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z))
accuracy0.041347509768442016
(fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64))
accuracy0.1875
(fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z))
accuracy28.540412924878
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z)))
accuracy0
(+.f64 x z)
accuracy20.561564073717864
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))
accuracy0
(sin.f64 y)
accuracy0
(cos.f64 y)
accuracy0.01171875
(+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))
accuracy0.0625
(fma.f64 (cos.f64 y) z x)
Samples
153.0ms190×0valid
31.0ms54×1valid
9.0ms12×2valid
Compiler

Compiled 206 to 34 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 87.0ms
ival-add: 30.0ms (34.7% of total)
ival-cos: 17.0ms (19.6% of total)
ival-mult: 14.0ms (16.2% of total)
adjust: 9.0ms (10.4% of total)
ival-sin: 6.0ms (6.9% of total)
const: 4.0ms (4.6% of total)
ival-sub: 3.0ms (3.5% of total)
ival-div: 2.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series55.0ms (0.6%)

Memory
-17.2MiB live, 77.5MiB allocated
Counts
19 → 504
Calls
Call 1
Inputs
#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())
#s(alt (fma.f64 (cos.f64 y) z x) (patch (fma.f64 (cos.f64 y) z x) #<representation binary64>) () ())
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) #<representation binary64>) () ())
#s(alt (+.f64 x z) (patch (+.f64 x z) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) (patch (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())
#s(alt (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y))) (patch (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (sin.f64 y) x)) (patch (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (sin.f64 y) x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))) (patch (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) (patch (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #<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 (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())
Outputs
#s(alt (+ x z) (taylor 0 y) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y z)) (taylor 0 y) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) (taylor 0 y) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) (taylor 0 y) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor inf y) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor inf y) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor inf y) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor inf y) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor -inf y) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor -inf y) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor -inf y) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor -inf y) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (sin y)) (taylor 0 z) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) (taylor inf z) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) (taylor inf z) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) (taylor inf z) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) (taylor -inf z) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) (taylor -inf z) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) (taylor -inf z) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ (sin y) (* z (cos y))) (taylor 0 x) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 x) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 x) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 x) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) (taylor inf x) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) (taylor inf x) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) (taylor inf x) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x z) (taylor 0 y) (#s(alt (fma.f64 (cos.f64 y) z x) (patch (fma.f64 (cos.f64 y) z x) #<representation binary64>) () ())) ())
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#s(alt (+ (* 1/2 (cos (neg (* -2 y)))) (pow x 2)) (taylor -inf y) (#s(alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) (patch (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (cos (neg (* -2 y)))) (pow x 2)) (taylor -inf y) (#s(alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) (patch (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (cos (* 2 y))) (taylor 0 x) (#s(alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) (patch (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (cos (* 2 y))) (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) (patch (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (cos (* 2 y))) (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) (patch (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (cos (* 2 y))) (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) (patch (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) (patch (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/2 (/ (cos (* 2 y)) (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) (patch (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/2 (/ (cos (* 2 y)) (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) (patch (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/2 (/ (cos (* 2 y)) (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) (patch (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) (patch (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/2 (/ (cos (* 2 y)) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) (patch (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/2 (/ (cos (* 2 y)) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) (patch (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/2 (/ (cos (* 2 y)) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) (patch (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (cos y) #s(literal 1 binary64)) (patch #s(approx (cos y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow y 2))) (taylor 0 y) (#s(alt #s(approx (cos y) #s(literal 1 binary64)) (patch #s(approx (cos y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) (taylor 0 y) (#s(alt #s(approx (cos y) #s(literal 1 binary64)) (patch #s(approx (cos y) #s(literal 1 binary64)) #<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 #s(approx (cos y) #s(literal 1 binary64)) (patch #s(approx (cos y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor inf y) (#s(alt #s(approx (cos y) #s(literal 1 binary64)) (patch #s(approx (cos y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor inf y) (#s(alt #s(approx (cos y) #s(literal 1 binary64)) (patch #s(approx (cos y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor inf y) (#s(alt #s(approx (cos y) #s(literal 1 binary64)) (patch #s(approx (cos y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor inf y) (#s(alt #s(approx (cos y) #s(literal 1 binary64)) (patch #s(approx (cos y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf y) (#s(alt #s(approx (cos y) #s(literal 1 binary64)) (patch #s(approx (cos y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf y) (#s(alt #s(approx (cos y) #s(literal 1 binary64)) (patch #s(approx (cos y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf y) (#s(alt #s(approx (cos y) #s(literal 1 binary64)) (patch #s(approx (cos y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf y) (#s(alt #s(approx (cos y) #s(literal 1 binary64)) (patch #s(approx (cos y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ z (* -1/2 (* (pow y 2) z))) (taylor 0 y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) (taylor 0 y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) (taylor 0 y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
Calls

126 calls:

TimeVariablePointExpression
5.0ms
y
@inf
(+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y)))
3.0ms
x
@0
(+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y)))
2.0ms
y
@-inf
(+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y)))
1.0ms
z
@0
(+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y)))
1.0ms
y
@0
(+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y)))

simplify168.0ms (1.8%)

Memory
5.2MiB live, 275.1MiB allocated
Algorithm
egg-herbie
Rules
7 984×lower-fma.f64
7 984×lower-fma.f32
4 862×lower-*.f64
4 862×lower-*.f32
3 372×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05305808
116375657
250305251
081294784
Stop Event
iter limit
node limit
Counts
504 → 474
Calls
Call 1
Inputs
(+ x z)
(+ x (+ y z))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 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 z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (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)))))
(+ (sin y) (* z (cos y)))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(+ x z)
(+ x (+ z (* -1/2 (* (pow y 2) z))))
(+ x (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))))
(+ x (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))))
(+ x (* z (cos y)))
(+ x (* z (cos y)))
(+ x (* z (cos y)))
(+ x (* z (cos y)))
(+ x (* z (cos y)))
(+ x (* z (cos y)))
(+ x (* z (cos y)))
(+ x (* z (cos y)))
x
(+ x (* z (cos y)))
(+ x (* z (cos y)))
(+ x (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ x z)))
(* z (+ (cos y) (/ x z)))
(* z (+ (cos y) (/ x z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z)))))
(* z (cos y))
(+ x (* z (cos y)))
(+ x (* z (cos y)))
(+ x (* z (cos y)))
x
(* x (+ 1 (/ (* z (cos y)) x)))
(* x (+ 1 (/ (* z (cos y)) x)))
(* x (+ 1 (/ (* z (cos y)) x)))
x
(* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1)))
(* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1)))
(* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1)))
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)
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)
(+ (sin y) (* z (cos y)))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(+ x z)
(+ x (+ y z))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 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 z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (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
(+ x z)
(+ x z)
(+ x z)
x
(* x (+ 1 (/ z x)))
(* x (+ 1 (/ z x)))
(* x (+ 1 (/ z x)))
x
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
x
(+ x z)
(+ x z)
(+ x z)
z
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ x z)))
z
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
(+ (sin y) (* z (cos y)))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(+ x z)
(+ x (+ y z))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 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 z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (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 z)
(+ x (+ y z))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))
(* -1/6 (pow y 3))
(* (pow y 3) (- (* -1/2 (/ z y)) 1/6))
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6))
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (+ (/ 1 (pow y 2)) (+ (/ x (pow y 3)) (/ z (pow y 3))))) 1/6))
(* -1/6 (pow y 3))
(* -1 (* (pow y 3) (+ 1/6 (* 1/2 (/ z y)))))
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1/2 z) (/ 1 y)) y)))))
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)) y)))))
(+ x (* y (+ 1 (* -1/6 (pow y 2)))))
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))))
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))))
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))))
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))
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(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
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(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 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))))
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(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(* z (cos y))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
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(* -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)))))
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x
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(* z (cos y))
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(- (+ z (* y (+ 1 (* y (- (+ (* -1/2 z) (+ (* y (- (+ (* 1/2 (- (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) (/ 1 (pow x 2))) (+ 1/6 (* 1/2 (- (* 1/6 (/ 1 (pow x 2))) (* -1 (/ (- (* 2 (/ 1 x)) (/ 1 (pow x 3))) x))))))) (/ 1 x))) (+ (* 1/2 (- (* 2 (/ 1 x)) (/ 1 (pow x 3)))) (* 1/2 (/ 1 (pow x 3))))))))) (* -1 x))
(- (+ (* 1/2 (/ 1 (- (sin y) x))) (* z (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) x))) (/ (pow x 2) (- (sin y) x))))
(- (+ (* 1/2 (/ 1 (- (sin y) x))) (* z (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) x))) (/ (pow x 2) (- (sin y) x))))
(- (+ (* 1/2 (/ 1 (- (sin y) x))) (* z (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) x))) (/ (pow x 2) (- (sin y) x))))
(- (+ (* 1/2 (/ 1 (- (sin y) x))) (* z (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) x))) (/ (pow x 2) (- (sin y) x))))
(- (+ (* 1/2 (/ 1 (- (sin y) x))) (* z (cos y))) (+ (* 1/2 (/ (cos (neg (* -2 y))) (- (sin y) x))) (/ (pow x 2) (- (sin y) x))))
(- (+ (* 1/2 (/ 1 (- (sin y) x))) (* z (cos y))) (+ (* 1/2 (/ (cos (neg (* -2 y))) (- (sin y) x))) (/ (pow x 2) (- (sin y) x))))
(- (+ (* 1/2 (/ 1 (- (sin y) x))) (* z (cos y))) (+ (* 1/2 (/ (cos (neg (* -2 y))) (- (sin y) x))) (/ (pow x 2) (- (sin y) x))))
(- (+ (* 1/2 (/ 1 (- (sin y) x))) (* z (cos y))) (+ (* 1/2 (/ (cos (neg (* -2 y))) (- (sin y) x))) (/ (pow x 2) (- (sin y) x))))
(- (+ (* 1/2 (/ 1 (sin y))) (* z (cos y))) (* 1/2 (/ (cos (* 2 y)) (sin y))))
(- (+ (* 1/2 (/ 1 (sin y))) (+ (* x (- (* 1/2 (/ 1 (pow (sin y) 2))) (* 1/2 (/ (cos (* 2 y)) (pow (sin y) 2))))) (* z (cos y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))
(- (+ (* 1/2 (/ 1 (sin y))) (+ (* x (- (+ (* 1/2 (/ 1 (pow (sin y) 2))) (* x (- (* 1/2 (/ 1 (pow (sin y) 3))) (+ (* 1/2 (/ (cos (* 2 y)) (pow (sin y) 3))) (/ 1 (sin y)))))) (* 1/2 (/ (cos (* 2 y)) (pow (sin y) 2))))) (* z (cos y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))
(- (+ (* 1/2 (/ 1 (sin y))) (+ (* x (- (+ (* 1/2 (/ 1 (pow (sin y) 2))) (* x (- (+ (* 1/2 (/ 1 (pow (sin y) 3))) (* x (- (* 1/2 (/ 1 (pow (sin y) 4))) (+ (* 1/2 (/ (cos (* 2 y)) (pow (sin y) 4))) (/ 1 (pow (sin y) 2)))))) (+ (* 1/2 (/ (cos (* 2 y)) (pow (sin y) 3))) (/ 1 (sin y)))))) (* 1/2 (/ (cos (* 2 y)) (pow (sin y) 2))))) (* z (cos y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (- (+ 1 (+ (/ (sin y) x) (+ (/ (* z (cos y)) x) (/ (pow (sin y) 2) (pow x 2))))) (+ (* -1/2 (/ (cos (* 2 y)) (pow x 2))) (/ 1/2 (pow x 2)))))
(* x (- (+ 1 (+ (* -1/2 (/ (sin y) (pow x 3))) (+ (/ (sin y) x) (+ (/ (* z (cos y)) x) (+ (/ (pow (sin y) 2) (pow x 2)) (/ (pow (sin y) 3) (pow x 3))))))) (+ (* -1/2 (/ (cos (* 2 y)) (pow x 2))) (+ (* -1/2 (/ (* (cos (* 2 y)) (sin y)) (pow x 3))) (/ 1/2 (pow x 2))))))
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (+ (* -1 (/ (- (+ 1/2 (* -1 (pow (sin y) 2))) (* 1/2 (cos (* 2 y)))) x)) (* z (cos y)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (+ (* -1 (/ (- (+ 1/2 (+ (* -1 (/ (- (+ (* -1/2 (sin y)) (pow (sin y) 3)) (* -1/2 (* (cos (* 2 y)) (sin y)))) x)) (* -1 (pow (sin y) 2)))) (* 1/2 (cos (* 2 y)))) x)) (* z (cos y)))) x)) 1)))
(- (* 1/2 (/ 1 (- (sin y) x))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) x))) (/ (pow x 2) (- (sin y) x))))
(- (+ (* 1/2 (/ 1 (- (sin y) x))) (* z (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) x))) (/ (pow x 2) (- (sin y) x))))
(- (+ (* 1/2 (/ 1 (- (sin y) x))) (* z (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) x))) (/ (pow x 2) (- (sin y) x))))
(- (+ (* 1/2 (/ 1 (- (sin y) x))) (* z (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) x))) (/ (pow x 2) (- (sin y) x))))
(* z (cos y))
(* z (- (+ (cos y) (/ 1/2 (* z (- (sin y) x)))) (+ (* 1/2 (/ (cos (* 2 y)) (* z (- (sin y) x)))) (/ (pow x 2) (* z (- (sin y) x))))))
(* z (- (+ (cos y) (/ 1/2 (* z (- (sin y) x)))) (+ (* 1/2 (/ (cos (* 2 y)) (* z (- (sin y) x)))) (/ (pow x 2) (* z (- (sin y) x))))))
(* z (- (+ (cos y) (/ 1/2 (* z (- (sin y) x)))) (+ (* 1/2 (/ (cos (* 2 y)) (* z (- (sin y) x)))) (/ (pow x 2) (* z (- (sin y) x))))))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (* 1/2 (/ 1 (- (sin y) x))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) x))) (/ (pow x 2) (- (sin y) x)))) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (* 1/2 (/ 1 (- (sin y) x))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) x))) (/ (pow x 2) (- (sin y) x)))) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (* 1/2 (/ 1 (- (sin y) x))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) x))) (/ (pow x 2) (- (sin y) x)))) z)))))
x
(+ x y)
(+ x (* y (+ 1 (* -1/6 (pow y 2)))))
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(/ (- 1/2 (+ (* 1/2 (cos (* 2 y))) (pow x 2))) (- (sin y) x))
(/ (- 1/2 (+ (* 1/2 (cos (* 2 y))) (pow x 2))) (- (sin y) x))
(/ (- 1/2 (+ (* 1/2 (cos (* 2 y))) (pow x 2))) (- (sin y) x))
(/ (- 1/2 (+ (* 1/2 (cos (* 2 y))) (pow x 2))) (- (sin y) x))
(/ (- 1/2 (+ (* 1/2 (cos (neg (* -2 y)))) (pow x 2))) (- (sin y) x))
(/ (- 1/2 (+ (* 1/2 (cos (neg (* -2 y)))) (pow x 2))) (- (sin y) x))
(/ (- 1/2 (+ (* 1/2 (cos (neg (* -2 y)))) (pow x 2))) (- (sin y) x))
(/ (- 1/2 (+ (* 1/2 (cos (neg (* -2 y)))) (pow x 2))) (- (sin y) x))
(/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))
(- (+ (* 1/2 (/ 1 (sin y))) (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))) (* 1/2 (/ (cos (* 2 y)) (sin y))))
(- (+ (* x (- (* -1 (* x (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (pow (sin y) 3))) (/ 1 (sin y))))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (pow (sin y) 2))))) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))
(- (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (pow (sin y) 4))) (/ 1 (pow (sin y) 2))))) (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (pow (sin y) 3))) (/ 1 (sin y))))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (pow (sin y) 2))))) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))
x
(* x (+ 1 (/ (sin y) x)))
(* x (- (+ 1 (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)))) (+ (* -1 (/ (sin y) x)) (* -1 (/ (pow (sin y) 2) (pow x 2))))))
(* x (- (+ 1 (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2))) (/ (* (sin y) (- (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (* -1 (pow (sin y) 2)))) (pow x 3)))) (+ (* -1 (/ (sin y) x)) (* -1 (/ (pow (sin y) 2) (pow x 2))))))
x
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- 1/2 (+ (* 1/2 (cos (* 2 y))) (pow (sin y) 2))) x)) (* -1 (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ 1/2 (/ (* (sin y) (- 1/2 (+ (* 1/2 (cos (* 2 y))) (pow (sin y) 2)))) x)) (+ (* 1/2 (cos (* 2 y))) (pow (sin y) 2))) x)) (* -1 (sin y))) x)) 1)))
(* -1 (pow x 2))
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(- 1/2 (+ (* 1/2 (cos (* 2 y))) (pow x 2)))
(- 1/2 (+ (* 1/2 (cos (* 2 y))) (pow x 2)))
(- 1/2 (+ (* 1/2 (cos (* 2 y))) (pow x 2)))
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(- 1/2 (+ (* 1/2 (cos (neg (* -2 y)))) (pow x 2)))
(- 1/2 (+ (* 1/2 (cos (neg (* -2 y)))) (pow x 2)))
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(+ (* 1/2 (cos (* 2 y))) (pow x 2))
(+ (* 1/2 (cos (* 2 y))) (pow x 2))
(+ (* 1/2 (cos (neg (* -2 y)))) (pow x 2))
(+ (* 1/2 (cos (neg (* -2 y)))) (pow x 2))
(+ (* 1/2 (cos (neg (* -2 y)))) (pow x 2))
(+ (* 1/2 (cos (neg (* -2 y)))) (pow x 2))
(* 1/2 (cos (* 2 y)))
(+ (* 1/2 (cos (* 2 y))) (pow x 2))
(+ (* 1/2 (cos (* 2 y))) (pow x 2))
(+ (* 1/2 (cos (* 2 y))) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/2 (/ (cos (* 2 y)) (pow x 2)))))
(* (pow x 2) (+ 1 (* 1/2 (/ (cos (* 2 y)) (pow x 2)))))
(* (pow x 2) (+ 1 (* 1/2 (/ (cos (* 2 y)) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/2 (/ (cos (* 2 y)) (pow x 2)))))
(* (pow x 2) (+ 1 (* 1/2 (/ (cos (* 2 y)) (pow x 2)))))
(* (pow x 2) (+ 1 (* 1/2 (/ (cos (* 2 y)) (pow x 2)))))
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))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
z
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
Outputs
(+ x z)
(+.f64 z x)
(+ x (+ y z))
(+.f64 (+.f64 y x) z)
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z)
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z)
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(*.f64 (+.f64 (/.f64 (+.f64 (sin.f64 y) x) z) (cos.f64 y)) z)
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(*.f64 (+.f64 (/.f64 (+.f64 (sin.f64 y) x) z) (cos.f64 y)) z)
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(*.f64 (+.f64 (/.f64 (+.f64 (sin.f64 y) x) z) (cos.f64 y)) z)
(+ (sin y) (* z (cos y)))
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(* x (+ 1 (/ (sin y) x)))
(fma.f64 (/.f64 (sin.f64 y) x) x x)
(* x (- (+ 1 (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)))) (+ (* -1 (/ (sin y) x)) (* -1 (/ (pow (sin y) 2) (pow x 2))))))
(fma.f64 (/.f64 (-.f64 (sin.f64 y) (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) (-.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) x)) x) x x)
(* x (- (+ 1 (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2))) (/ (* (sin y) (- (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (* -1 (pow (sin y) 2)))) (pow x 3)))) (+ (* -1 (/ (sin y) x)) (* -1 (/ (pow (sin y) 2) (pow x 2))))))
(*.f64 (+.f64 (fma.f64 (/.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))) (*.f64 (*.f64 x x) x)) (sin.f64 y) (/.f64 (-.f64 (sin.f64 y) (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) (-.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) x)) x)) #s(literal 1 binary64)) x)
x
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(fma.f64 (/.f64 (sin.f64 y) x) x x)
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- 1/2 (+ (* 1/2 (cos (* 2 y))) (pow (sin y) 2))) x)) (* -1 (sin y))) x)) 1)))
(fma.f64 (/.f64 (-.f64 (sin.f64 y) (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) (-.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) x)) x) x x)
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ 1/2 (/ (* (sin y) (- 1/2 (+ (* 1/2 (cos (* 2 y))) (pow (sin y) 2)))) x)) (+ (* 1/2 (cos (* 2 y))) (pow (sin y) 2))) x)) (* -1 (sin y))) x)) 1)))
(fma.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) (-.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (sin.f64 y) x) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) (-.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) x) (sin.f64 y)) x) (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(- (pow y 2) (pow x 2))
(*.f64 (+.f64 y x) (-.f64 y x))
(- (* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) (pow x 2))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 y y) #s(literal 1 binary64)) y) y (*.f64 (neg.f64 x) x))
(- (* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3)))) (pow x 2))
(fma.f64 (*.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)) y) y (*.f64 (neg.f64 x) x))
(- 1/2 (+ (* 1/2 (cos (* 2 y))) (pow x 2)))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) (fma.f64 (neg.f64 x) x #s(literal 1/2 binary64)))
(- 1/2 (+ (* 1/2 (cos (* 2 y))) (pow x 2)))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) (fma.f64 (neg.f64 x) x #s(literal 1/2 binary64)))
(- 1/2 (+ (* 1/2 (cos (* 2 y))) (pow x 2)))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) (fma.f64 (neg.f64 x) x #s(literal 1/2 binary64)))
(- 1/2 (+ (* 1/2 (cos (* 2 y))) (pow x 2)))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) (fma.f64 (neg.f64 x) x #s(literal 1/2 binary64)))
(- 1/2 (+ (* 1/2 (cos (neg (* -2 y)))) (pow x 2)))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) (fma.f64 (neg.f64 x) x #s(literal 1/2 binary64)))
(- 1/2 (+ (* 1/2 (cos (neg (* -2 y)))) (pow x 2)))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) (fma.f64 (neg.f64 x) x #s(literal 1/2 binary64)))
(- 1/2 (+ (* 1/2 (cos (neg (* -2 y)))) (pow x 2)))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) (fma.f64 (neg.f64 x) x #s(literal 1/2 binary64)))
(- 1/2 (+ (* 1/2 (cos (neg (* -2 y)))) (pow x 2)))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) (fma.f64 (neg.f64 x) x #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 (pow x 2))) (* 1/2 (cos (* 2 y))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) (fma.f64 (neg.f64 x) x #s(literal 1/2 binary64)))
(- (+ 1/2 (* -1 (pow x 2))) (* 1/2 (cos (* 2 y))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) (fma.f64 (neg.f64 x) x #s(literal 1/2 binary64)))
(- (+ 1/2 (* -1 (pow x 2))) (* 1/2 (cos (* 2 y))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) (fma.f64 (neg.f64 x) x #s(literal 1/2 binary64)))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) (+ 1 (* 1/2 (/ (cos (* 2 y)) (pow x 2))))))
(*.f64 (-.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) (+ 1 (* 1/2 (/ (cos (* 2 y)) (pow x 2))))))
(*.f64 (-.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) (+ 1 (* 1/2 (/ (cos (* 2 y)) (pow x 2))))))
(*.f64 (-.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) (+ 1 (* 1/2 (/ (cos (* 2 y)) (pow x 2))))))
(*.f64 (-.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) (+ 1 (* 1/2 (/ (cos (* 2 y)) (pow x 2))))))
(*.f64 (-.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) (+ 1 (* 1/2 (/ (cos (* 2 y)) (pow x 2))))))
(*.f64 (-.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))
(+ 1/2 (pow x 2))
(fma.f64 x x #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1 (pow y 2)) (pow x 2)))
(fma.f64 (+.f64 y x) (-.f64 x y) #s(literal 1/2 binary64))
(+ 1/2 (+ (* (pow y 2) (- (* 1/3 (pow y 2)) 1)) (pow x 2)))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal -1 binary64)) y) y (fma.f64 x x #s(literal 1/2 binary64)))
(+ 1/2 (+ (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)) (pow x 2)))
(fma.f64 (*.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)) y) y (fma.f64 x x #s(literal 1/2 binary64)))
(+ (* 1/2 (cos (* 2 y))) (pow x 2))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) (*.f64 x x))
(+ (* 1/2 (cos (* 2 y))) (pow x 2))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) (*.f64 x x))
(+ (* 1/2 (cos (* 2 y))) (pow x 2))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) (*.f64 x x))
(+ (* 1/2 (cos (* 2 y))) (pow x 2))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) (*.f64 x x))
(+ (* 1/2 (cos (neg (* -2 y)))) (pow x 2))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) (*.f64 x x))
(+ (* 1/2 (cos (neg (* -2 y)))) (pow x 2))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) (*.f64 x x))
(+ (* 1/2 (cos (neg (* -2 y)))) (pow x 2))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) (*.f64 x x))
(+ (* 1/2 (cos (neg (* -2 y)))) (pow x 2))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) (*.f64 x x))
(* 1/2 (cos (* 2 y)))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))
(+ (* 1/2 (cos (* 2 y))) (pow x 2))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) (*.f64 x x))
(+ (* 1/2 (cos (* 2 y))) (pow x 2))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) (*.f64 x x))
(+ (* 1/2 (cos (* 2 y))) (pow x 2))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/2 (/ (cos (* 2 y)) (pow x 2)))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (* 1/2 (/ (cos (* 2 y)) (pow x 2)))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (* 1/2 (/ (cos (* 2 y)) (pow x 2)))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/2 (/ (cos (* 2 y)) (pow x 2)))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (* 1/2 (/ (cos (* 2 y)) (pow x 2)))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (* 1/2 (/ (cos (* 2 y)) (pow x 2)))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x 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)
(* 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)))))
(fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y 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)

rewrite497.0ms (5.5%)

Memory
22.3MiB live, 288.9MiB allocated
Rules
4 968×lower-*.f32
4 960×lower-*.f64
4 020×lower-/.f32
4 018×lower-/.f64
3 150×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036172
063145
1269142
22346142
08568141
Stop Event
iter limit
node limit
iter limit
Counts
19 → 618
Calls
Call 1
Inputs
(+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))
(fma.f64 (cos.f64 y) z x)
(cos.f64 y)
(sin.f64 y)
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))
(+.f64 x z)
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
(+.f64 x (sin.f64 y))
(*.f64 z #s(approx (cos y) #s(literal 1 binary64)))
(+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y)))
(/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (sin.f64 y) x))
(-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)))
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))
#s(approx (cos y) #s(literal 1 binary64))
(*.f64 z (cos.f64 y))
Outputs
(*.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))))
(*.f64 (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (-.f64 x (sin.f64 y)))))
(*.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (fma.f64 z (cos.f64 y) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) (pow.f64 (fma.f64 z (cos.f64 y) x) #s(literal 2 binary64)))))
(pow.f64 (/.f64 (-.f64 (+.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 z (cos.f64 y) (-.f64 x (sin.f64 y))) (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) (pow.f64 (fma.f64 z (cos.f64 y) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (fma.f64 z (cos.f64 y) x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))))
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(/.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) (+.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (neg.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
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(/.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 (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) (*.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 (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) (*.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/8 binary64) (pow.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 3 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (neg.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 2 binary64))) (+.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (neg.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)))))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (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) (*.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (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) (*.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/8 binary64) (pow.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 3 binary64)))))
(fma.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(fma.f64 (sin.f64 y) (sin.f64 y) (*.f64 (neg.f64 x) x))
(fma.f64 (sin.f64 y) (sin.f64 y) (neg.f64 (*.f64 x x)))
(-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (/.f64 (pow.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (+.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (fma.f64 (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) (*.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (fma.f64 (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) (*.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 x x))
(-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)))
(+.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))) #s(literal 1/2 binary64))
(+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) x))
(+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (neg.f64 (*.f64 x x)))
(+.f64 #s(literal 1/2 binary64) (neg.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))))
(*.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 (neg.f64 (*.f64 x x)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 (neg.f64 x) x))))
(*.f64 (fma.f64 (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) (/.f64 #s(literal 1 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 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))))
(pow.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 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 (neg.f64 (*.f64 x x)) (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.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)))) (neg.f64 (-.f64 (*.f64 x x) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(/.f64 (neg.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) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))))) (neg.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) (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 (neg.f64 x) x))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (*.f64 x x) x) x))) (pow.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 (neg.f64 x) x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64))) (-.f64 (*.f64 x x) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(/.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) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 x x)))) (neg.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 (neg.f64 x) x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) x (-.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)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)))) (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 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 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 (neg.f64 (*.f64 x x)) (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))))))
(/.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 (neg.f64 (*.f64 x x)) (*.f64 x x))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 (neg.f64 x) x)))
(/.f64 (fma.f64 (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) (fma.f64 (*.f64 (*.f64 x x) x) x (-.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)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.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 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 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 (neg.f64 (*.f64 x x)) (*.f64 x x)))))
(/.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 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x x))
(fma.f64 x x (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 (neg.f64 x) x))) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 (neg.f64 x) x))))
(+.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
#s(approx (cos y) #s(literal 1 binary64))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)

eval241.0ms (2.7%)

Memory
-23.5MiB live, 270.1MiB allocated
Compiler

Compiled 33 640 to 2 075 computations (93.8% saved)

prune208.0ms (2.3%)

Memory
4.8MiB live, 397.5MiB allocated
Pruning

26 alts after pruning (24 fresh and 2 done)

PrunedKeptTotal
New1 147221 169
Fresh628
Picked325
Done000
Total1 156261 182
Accuracy
100.0%
Counts
1 182 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.9%
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)))
99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))))
99.9%
(+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))
85.8%
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
53.4%
(+.f64 (+.f64 x #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))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
89.7%
(+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y))
85.9%
(+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) (sin.f64 y))
54.0%
(+.f64 #s(approx (+ x (sin y)) (fma.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)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
54.2%
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (fma.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)) (sin.f64 y))))
63.2%
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (+.f64 (+.f64 y x) z))
40.0%
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (*.f64 (cos.f64 y) z))
57.3%
#s(approx (+ (+ (* (cos y) z) x) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x)))
58.0%
#s(approx (+ (+ (* (cos y) z) x) (sin y)) (fma.f64 (cos.f64 y) z (sin.f64 y)))
62.0%
#s(approx (+ (+ (* (cos y) z) x) (sin y)) (+.f64 (sin.f64 y) x))
88.9%
#s(approx (+ (+ (* (cos y) z) x) (sin y)) (*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z))
31.1%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 z z) z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (-.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 #s(literal -1/6 binary64) y)))))) y #s(literal 1 binary64)) y (+.f64 x z)))
54.3%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y (+.f64 x z)))
36.1%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (-.f64 x z)))
36.0%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z)))))
67.9%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))
36.0%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (-.f64 x z))))
32.8%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x)))
25.4%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))
2.7%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))))
61.3%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ x z) (fma.f64 (/.f64 z x) x x)))
56.9%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ x z) (fma.f64 (/.f64 x z) z z)))
Compiler

Compiled 816 to 449 computations (45% saved)

simplify206.0ms (2.3%)

Memory
-6.3MiB live, 177.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 y)
cost-diff0
(cos.f64 y)
cost-diff0
(fma.f64 (cos.f64 y) z (sin.f64 y))
cost-diff0
#s(approx (+ (+ (* (cos y) z) x) (sin y)) (fma.f64 (cos.f64 y) z (sin.f64 y)))
cost-diff0
(*.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)
cost-diff0
#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))
cost-diff0
(+.f64 x #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)))
cost-diff128
(+.f64 (+.f64 x #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))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
cost-diff0
(*.f64 (*.f64 y z) #s(literal -1/2 binary64))
cost-diff0
#s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64)))
cost-diff0
(fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y (+.f64 x z))
cost-diff0
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y (+.f64 x z)))
cost-diff0
(+.f64 y x)
cost-diff0
(+.f64 (+.f64 y x) z)
cost-diff0
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (+.f64 (+.f64 y x) z))
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
7 340×lower-fma.f32
7 328×lower-fma.f64
3 094×lower-*.f32
3 084×lower-*.f64
2 118×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058340
085334
1153334
2280334
3515330
41179330
52432330
63739330
74822330
85322330
95567330
105837330
117776330
08287316
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 (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (+.f64 (+.f64 y x) z))
(+.f64 (+.f64 y x) z)
(+.f64 y x)
y
x
z
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y (+.f64 x z)))
(fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y (+.f64 x z))
#s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64)))
(*.f64 (*.f64 y z) #s(literal -1/2 binary64))
(*.f64 y z)
y
z
#s(literal -1/2 binary64)
(+.f64 x z)
x
(+.f64 (+.f64 x #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))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
(+.f64 x #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 (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))
(*.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)
(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))
(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))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
(*.f64 y y)
y
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(*.f64 z #s(approx (cos y) #s(literal 1 binary64)))
z
#s(approx (cos y) #s(literal 1 binary64))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) (fma.f64 (cos.f64 y) z (sin.f64 y)))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(cos.f64 y)
y
z
(sin.f64 y)
Outputs
(/.f64 #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))
#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 (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (+.f64 (+.f64 y x) z))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (+.f64 (+.f64 x y) z))
(+.f64 (+.f64 y x) z)
(+.f64 (+.f64 x y) z)
(+.f64 y x)
(+.f64 x y)
y
x
z
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y (+.f64 x z)))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 x z)))
(fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y (+.f64 x z))
(fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 x z))
#s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64)))
#s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64)))
(*.f64 (*.f64 y z) #s(literal -1/2 binary64))
(*.f64 (*.f64 z y) #s(literal -1/2 binary64))
(*.f64 y z)
(*.f64 z y)
y
z
#s(literal -1/2 binary64)
(+.f64 x z)
x
(+.f64 (+.f64 x #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))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z x) #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))
(+.f64 x #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)))
(+.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x)
x
#s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) 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)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)
(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))
(fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(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))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
(*.f64 y y)
y
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(*.f64 z #s(approx (cos y) #s(literal 1 binary64)))
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)
z
#s(approx (cos y) #s(literal 1 binary64))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) (fma.f64 (cos.f64 y) z (sin.f64 y)))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(cos.f64 y)
y
z
(sin.f64 y)

localize215.0ms (2.4%)

Memory
24.8MiB live, 338.1MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(sin.f64 y)
accuracy0
(cos.f64 y)
accuracy0.0859375
(fma.f64 (cos.f64 y) z (sin.f64 y))
accuracy26.85643166559196
#s(approx (+ (+ (* (cos y) z) x) (sin y)) (fma.f64 (cos.f64 y) z (sin.f64 y)))
accuracy0.05859375
(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))
accuracy0.12890625
(*.f64 z #s(approx (cos y) #s(literal 1 binary64)))
accuracy28.421401510946204
#s(approx (cos y) #s(literal 1 binary64))
accuracy31.35222678342225
#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))
accuracy0.0078125
(*.f64 (*.f64 y z) #s(literal -1/2 binary64))
accuracy0.0234375
(fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y (+.f64 x z))
accuracy28.540412924878
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y (+.f64 x z)))
accuracy46.262395662246035
#s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64)))
accuracy0
(+.f64 y x)
accuracy0.00390625
(+.f64 (+.f64 y x) z)
accuracy23.5604544793313
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (+.f64 (+.f64 y x) z))
accuracy0.015625
(+.f64 (sin.f64 y) x)
accuracy0.04296875
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
accuracy0.0859375
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)))
accuracy0.21484375
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))))
Samples
92.0ms218×0valid
54.0ms38×1valid
Compiler

Compiled 245 to 53 computations (78.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 119.0ms
ival-mult: 41.0ms (34.5% of total)
ival-add: 27.0ms (22.7% of total)
ival-cos: 17.0ms (14.3% of total)
const: 10.0ms (8.4% of total)
adjust: 9.0ms (7.6% of total)
ival-sin: 6.0ms (5% of total)
ival-div: 5.0ms (4.2% of total)
ival-sub: 2.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series42.0ms (0.5%)

Memory
-13.3MiB live, 66.0MiB allocated
Counts
22 → 564
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 (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (+.f64 (+.f64 y x) z)) (patch #s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (+.f64 (+.f64 y x) z)) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 y x) z) (patch (+.f64 (+.f64 y x) z) #<representation binary64>) () ())
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y (+.f64 x z))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y (+.f64 x z))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y (+.f64 x z)) (patch (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y (+.f64 x z)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) (patch #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y z) #s(literal -1/2 binary64)) (patch (*.f64 (*.f64 y z) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 x #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))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) (patch (+.f64 (+.f64 x #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))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (+.f64 x #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))) (patch (+.f64 x #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))) #<representation binary64>) () ())
#s(alt #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)) (patch #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)) #<representation binary64>) () ())
#s(alt (*.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) (patch (*.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) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (* (cos y) z) x) (sin y)) (fma.f64 (cos.f64 y) z (sin.f64 y))) (patch #s(approx (+ (+ (* (cos y) z) x) (sin y)) (fma.f64 (cos.f64 y) z (sin.f64 y))) #<representation binary64>) () ())
#s(alt (fma.f64 (cos.f64 y) z (sin.f64 y)) (patch (fma.f64 (cos.f64 y) z (sin.f64 y)) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt (+.f64 (sin.f64 y) x) (patch (+.f64 (sin.f64 y) x) #<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 (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
Outputs
#s(alt (+ x 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 (+ x (+ 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 (+ x (+ z (* y (+ 1 (* -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 (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 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 z) (/ (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 z) (/ (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 z) (/ (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 (+ (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) (* 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 (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 (+ 1 (+ (/ (sin y) x) (/ (* 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 (+ 1 (+ (/ (sin y) x) (/ (* 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 (+ 1 (+ (/ (sin y) x) (/ (* 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 (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) (* z (cos y))) x)) 1))) (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) (* z (cos y))) x)) 1))) (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) (* z (cos y))) x)) 1))) (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 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 (/ y (pow (+ x z) 2))) (/ 1 (+ x 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 (pow (+ x z) 3)) (* -1/2 (/ z (pow (+ x z) 2))))) (/ 1 (pow (+ x z) 2)))) (/ 1 (+ x 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>) () ())) ())
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#s(alt (* z (cos y)) (taylor inf z) (#s(alt (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 y) (#s(alt (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ z (* -1/2 (* (pow y 2) z))) (taylor 0 y) (#s(alt (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) (taylor 0 y) (#s(alt (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) #<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 #s(approx (cos y) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf y) (#s(alt (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf y) (#s(alt (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf y) (#s(alt (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf y) (#s(alt (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1/6 (taylor 0 y) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/120 (pow y 2)) 1/6) (taylor 0 y) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6) (taylor 0 y) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6) (taylor 0 y) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow y 4)) (taylor inf y) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) (taylor inf y) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) (taylor inf y) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) (taylor inf y) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow y 4)) (taylor -inf y) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) (taylor -inf y) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) (taylor -inf y) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) (taylor -inf y) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
Calls

141 calls:

TimeVariablePointExpression
7.0ms
y
@inf
(/ 1 (/ 1 (+ (* (cos y) z) (+ (sin y) x))))
1.0ms
z
@inf
(/ 1 (+ (* (cos y) z) (+ (sin y) x)))
1.0ms
y
@inf
(/ 1 (+ (* (cos y) z) (+ (sin y) x)))
1.0ms
y
@0
(/ 1 (+ (* (cos y) z) (+ (sin y) x)))
1.0ms
y
@-inf
(/ 1 (+ (* (cos y) z) (+ (sin y) x)))

simplify204.0ms (2.3%)

Memory
-9.9MiB live, 299.5MiB allocated
Algorithm
egg-herbie
Rules
7 474×lower-fma.f64
7 474×lower-fma.f32
5 306×lower-*.f64
5 306×lower-*.f32
3 636×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06116406
118316311
257406156
083535712
Stop Event
iter limit
node limit
Counts
564 → 527
Calls
Call 1
Inputs
(+ x z)
(+ x (+ y z))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 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 z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (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)))))
(+ (sin y) (* z (cos y)))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(/ 1 (+ x z))
(+ (* -1 (/ y (pow (+ x z) 2))) (/ 1 (+ x z)))
(+ (* y (- (* y (- (/ 1 (pow (+ x z) 3)) (* -1/2 (/ z (pow (+ x z) 2))))) (/ 1 (pow (+ x z) 2)))) (/ 1 (+ x z)))
(+ (* y (- (* y (- (+ (* y (- (+ (* -1/2 (/ z (pow (+ x z) 3))) (* 1/6 (/ 1 (pow (+ x z) 2)))) (+ (* 1/2 (/ z (pow (+ x z) 3))) (/ 1 (pow (+ x z) 4))))) (/ 1 (pow (+ x z) 3))) (* -1/2 (/ z (pow (+ x z) 2))))) (/ 1 (pow (+ x z) 2)))) (/ 1 (+ x 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 (sin y)) 2))) (/ 1 (+ x (sin y))))
(+ (* z (- (/ (* z (pow (cos y) 2)) (pow (+ x (sin y)) 3)) (/ (cos y) (pow (+ x (sin y)) 2)))) (/ 1 (+ x (sin y))))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (pow (+ x (sin y)) 4))) (* -1 (/ (pow (cos y) 2) (pow (+ x (sin y)) 3))))) (/ (cos y) (pow (+ x (sin y)) 2)))) (/ 1 (+ x (sin y))))
(/ 1 (* z (cos y)))
(/ (+ (* -1 (/ (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2))) z)) (/ 1 (cos y))) z)
(/ (- (+ (/ 1 (cos y)) (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* (pow z 2) (cos y)))) (+ (/ x (* z (pow (cos y) 2))) (/ (sin y) (* z (pow (cos y) 2))))) z)
(/ (- (+ (* -1 (/ (* (pow (+ x (sin y)) 2) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* (pow z 3) (pow (cos y) 2)))) (/ 1 (cos y))) (+ (* -1 (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* (pow z 2) (cos y)))) (+ (/ x (* z (pow (cos y) 2))) (/ (sin y) (* z (pow (cos y) 2)))))) z)
(/ 1 (* z (cos y)))
(* -1 (/ (- (+ (/ x (* z (pow (cos y) 2))) (/ (sin y) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z))
(* -1 (/ (- (* -1 (/ (- (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* z (cos y))) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) z)) (/ 1 (cos y))) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (sin y)) 2) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* z (pow (cos y) 2))) (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (cos y))) z)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) z)) (/ 1 (cos y))) z))
(/ 1 (+ (sin y) (* z (cos y))))
(+ (* -1 (/ x (pow (+ (sin y) (* z (cos y))) 2))) (/ 1 (+ (sin y) (* z (cos y)))))
(+ (* x (- (/ x (pow (+ (sin y) (* z (cos y))) 3)) (/ 1 (pow (+ (sin y) (* z (cos y))) 2)))) (/ 1 (+ (sin y) (* z (cos y)))))
(+ (* x (- (* x (+ (* -1 (/ x (pow (+ (sin y) (* z (cos y))) 4))) (/ 1 (pow (+ (sin y) (* z (cos y))) 3)))) (/ 1 (pow (+ (sin y) (* z (cos y))) 2)))) (/ 1 (+ (sin y) (* z (cos y)))))
(/ 1 x)
(/ (+ 1 (* -1 (/ (+ (sin y) (* z (cos y))) x))) x)
(/ (- (+ 1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))) (+ (/ (sin y) x) (/ (* z (cos y)) x))) x)
(/ (- (+ 1 (* -1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3)))) (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))) (+ (/ (sin y) x) (/ (* z (cos y)) x)))) x)
(/ 1 x)
(* -1 (/ (- (+ (/ (sin y) x) (/ (* z (cos y)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ (sin y) (* z (cos y))) 2) x) (+ (sin y) (* z (cos y)))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (sin y) (* z (cos y))) 3) x) (pow (+ (sin y) (* z (cos y))) 2)) x)) (+ (sin y) (* z (cos y)))) x)) 1) x))
(+ x z)
(+ x (+ y z))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 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 z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (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)))))
(+ (sin y) (* z (cos y)))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
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 (* -1 x))
(- (+ y z) (* -1 x))
(- (+ z (* y (+ 1 (* y (- (+ (* -1/2 z) (/ 1 x)) (+ (* 1/2 (- (* 2 (/ 1 x)) (/ 1 (pow x 3)))) (* 1/2 (/ 1 (pow x 3))))))))) (* -1 x))
(- (+ z (* y (+ 1 (* y (- (+ (* -1/2 z) (+ (* y (- (+ (* 1/2 (- (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) (/ 1 (pow x 2))) (+ 1/6 (* 1/2 (- (* 1/6 (/ 1 (pow x 2))) (* -1 (/ (- (* 2 (/ 1 x)) (/ 1 (pow x 3))) x))))))) (/ 1 x))) (+ (* 1/2 (- (* 2 (/ 1 x)) (/ 1 (pow x 3)))) (* 1/2 (/ 1 (pow x 3))))))))) (* -1 x))
(- (+ (* 1/2 (/ 1 (- (sin y) x))) (* z (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) x))) (/ (pow x 2) (- (sin y) x))))
(- (+ (* 1/2 (/ 1 (- (sin y) x))) (* z (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) x))) (/ (pow x 2) (- (sin y) x))))
(- (+ (* 1/2 (/ 1 (- (sin y) x))) (* z (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) x))) (/ (pow x 2) (- (sin y) x))))
(- (+ (* 1/2 (/ 1 (- (sin y) x))) (* z (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) x))) (/ (pow x 2) (- (sin y) x))))
(- (+ (* 1/2 (/ 1 (- (sin y) x))) (* z (cos y))) (+ (* 1/2 (/ (cos (neg (* -2 y))) (- (sin y) x))) (/ (pow x 2) (- (sin y) x))))
(- (+ (* 1/2 (/ 1 (- (sin y) x))) (* z (cos y))) (+ (* 1/2 (/ (cos (neg (* -2 y))) (- (sin y) x))) (/ (pow x 2) (- (sin y) x))))
(- (+ (* 1/2 (/ 1 (- (sin y) x))) (* z (cos y))) (+ (* 1/2 (/ (cos (neg (* -2 y))) (- (sin y) x))) (/ (pow x 2) (- (sin y) x))))
(- (+ (* 1/2 (/ 1 (- (sin y) x))) (* z (cos y))) (+ (* 1/2 (/ (cos (neg (* -2 y))) (- (sin y) x))) (/ (pow x 2) (- (sin y) x))))
(- (+ (* 1/2 (/ 1 (sin y))) (* z (cos y))) (* 1/2 (/ (cos (* 2 y)) (sin y))))
(- (+ (* 1/2 (/ 1 (sin y))) (+ (* x (- (* 1/2 (/ 1 (pow (sin y) 2))) (* 1/2 (/ (cos (* 2 y)) (pow (sin y) 2))))) (* z (cos y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))
(- (+ (* 1/2 (/ 1 (sin y))) (+ (* x (- (+ (* 1/2 (/ 1 (pow (sin y) 2))) (* x (- (* 1/2 (/ 1 (pow (sin y) 3))) (+ (* 1/2 (/ (cos (* 2 y)) (pow (sin y) 3))) (/ 1 (sin y)))))) (* 1/2 (/ (cos (* 2 y)) (pow (sin y) 2))))) (* z (cos y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))
(- (+ (* 1/2 (/ 1 (sin y))) (+ (* x (- (+ (* 1/2 (/ 1 (pow (sin y) 2))) (* x (- (+ (* 1/2 (/ 1 (pow (sin y) 3))) (* x (- (* 1/2 (/ 1 (pow (sin y) 4))) (+ (* 1/2 (/ (cos (* 2 y)) (pow (sin y) 4))) (/ 1 (pow (sin y) 2)))))) (+ (* 1/2 (/ (cos (* 2 y)) (pow (sin y) 3))) (/ 1 (sin y)))))) (* 1/2 (/ (cos (* 2 y)) (pow (sin y) 2))))) (* z (cos y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (- (+ 1 (+ (/ (sin y) x) (+ (/ (* z (cos y)) x) (/ (pow (sin y) 2) (pow x 2))))) (+ (* -1/2 (/ (cos (* 2 y)) (pow x 2))) (/ 1/2 (pow x 2)))))
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x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (+ (* -1 (/ (- (+ 1/2 (* -1 (pow (sin y) 2))) (* 1/2 (cos (* 2 y)))) x)) (* z (cos y)))) x)) 1)))
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(- (+ (* 1/2 (/ 1 (- (sin y) x))) (* z (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) x))) (/ (pow x 2) (- (sin y) x))))
(- (+ (* 1/2 (/ 1 (- (sin y) x))) (* z (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) x))) (/ (pow x 2) (- (sin y) x))))
(- (+ (* 1/2 (/ 1 (- (sin y) x))) (* z (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) x))) (/ (pow x 2) (- (sin y) x))))
(* z (cos y))
(* z (- (+ (cos y) (/ 1/2 (* z (- (sin y) x)))) (+ (* 1/2 (/ (cos (* 2 y)) (* z (- (sin y) x)))) (/ (pow x 2) (* z (- (sin y) x))))))
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(* z (- (+ (cos y) (/ 1/2 (* z (- (sin y) x)))) (+ (* 1/2 (/ (cos (* 2 y)) (* z (- (sin y) x)))) (/ (pow x 2) (* z (- (sin y) x))))))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (* 1/2 (/ 1 (- (sin y) x))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) x))) (/ (pow x 2) (- (sin y) x)))) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (* 1/2 (/ 1 (- (sin y) x))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) x))) (/ (pow x 2) (- (sin y) x)))) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (* 1/2 (/ 1 (- (sin y) x))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) x))) (/ (pow x 2) (- (sin y) x)))) z)))))
(+ x z)
(+ x (+ y z))
(+ x (+ y z))
(+ x (+ y z))
y
(* y (+ 1 (+ (/ x y) (/ z y))))
(* y (+ 1 (+ (/ x y) (/ z y))))
(* y (+ 1 (+ (/ x y) (/ z y))))
y
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(+ y z)
(+ x (+ y z))
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x
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(* x (+ 1 (+ (/ y x) (/ z x))))
x
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(+ x y)
(+ x (+ y z))
(+ x (+ y z))
(+ x (+ y z))
z
(* z (+ 1 (+ (/ x z) (/ y z))))
(* z (+ 1 (+ (/ x z) (/ y z))))
(* z (+ 1 (+ (/ x z) (/ y z))))
z
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
y
(+ x y)
(+ x y)
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x
(* x (+ 1 (/ y x)))
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(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
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(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
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(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(+ x z)
(+ x (+ y z))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 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 z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (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 z)
(+ x (+ y z))
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(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))
(* -1/6 (pow y 3))
(* (pow y 3) (- (* -1/2 (/ z y)) 1/6))
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6))
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(* -1/6 (pow y 3))
(* -1 (* (pow y 3) (+ 1/6 (* 1/2 (/ z y)))))
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1/2 z) (/ 1 y)) y)))))
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(+ x (* y (+ 1 (* -1/6 (pow y 2)))))
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))))
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))))
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))))
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(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))
x
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x))))
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x))))
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x))))
x
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1)))
1
(+ 1 (* -1/2 (* y z)))
(+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))
(+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))
(* -1/6 (pow y 2))
(* (pow y 2) (- (* -1/2 (/ z y)) 1/6))
(* (pow y 2) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6))
(* (pow y 2) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6))
(* -1/6 (pow y 2))
(* (pow y 2) (- (* -1/2 (/ z y)) 1/6))
(* (pow y 2) (- (* -1 (/ (- (* 1/2 z) (/ 1 y)) y)) 1/6))
(* (pow y 2) (- (* -1 (/ (- (* 1/2 z) (/ 1 y)) y)) 1/6))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2))))
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2))))
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2))))
(* -1/2 (* y z))
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))))
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))))
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))))
(* -1/2 (* y z))
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 y))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 y))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 y))))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(+ (sin y) (* z (cos y)))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(+ x z)
(+ x (+ y z))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 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 z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (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)))))
(sin y)
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
x
(* x (+ 1 (/ (sin y) x)))
(* x (+ 1 (/ (sin y) x)))
(* x (+ 1 (/ (sin y) x)))
x
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
x
(+ x y)
(+ x (* y (+ 1 (* -1/6 (pow y 2)))))
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(+ 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)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* -1/5040 (pow y 7))
(* (pow y 7) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 7) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* (pow y 7) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* -1/5040 (pow y 7))
(* -1 (* (pow y 7) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))
(* -1 (* (pow y 7) (- (+ 1/5040 (/ 1/6 (pow y 4))) (* 1/120 (/ 1 (pow y 2))))))
(* -1 (* (pow y 7) (- (+ 1/5040 (/ 1/6 (pow y 4))) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
(+ x z)
(+ x (+ y z))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 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 z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (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)))))
(+ (sin y) (* z (cos y)))
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(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
z
(+ y z)
(+ z (* y (+ 1 (* -1/2 (* y z)))))
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(sin y)
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (sin y) z)))
(* z (+ (cos y) (/ (sin y) z)))
(* z (+ (cos y) (/ (sin y) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
x
(+ x y)
(+ x (* y (+ 1 (* -1/6 (pow y 2)))))
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
(sin y)
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
x
(* x (+ 1 (/ (sin y) x)))
(* x (+ 1 (/ (sin y) x)))
(* x (+ 1 (/ (sin y) x)))
x
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
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))
(* 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))
-1/6
(- (* 1/120 (pow y 2)) 1/6)
(- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)
(- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)
(* -1/5040 (pow y 4))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* -1/5040 (pow y 4))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
Outputs
(+ x z)
(+.f64 z x)
(+ x (+ y z))
(+.f64 (+.f64 y x) z)
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
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#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)
(* 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)))))
(fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) y) y (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y 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)
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow y 2)) 1/6)
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
(- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)
(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))
(- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)
(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))
(* -1/5040 (pow y 4))
(*.f64 (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) y) y)
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y y)))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y y)))
(* -1/5040 (pow y 4))
(*.f64 (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) y) y)
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y y)))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y y)))

rewrite252.0ms (2.8%)

Memory
23.3MiB live, 302.3MiB allocated
Rules
6 512×lower-*.f32
6 502×lower-*.f64
5 160×lower-fma.f32
5 148×lower-fma.f64
3 728×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058285
085279
1432265
23709265
010142258
Stop Event
iter limit
node limit
iter limit
Counts
22 → 548
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 (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (+.f64 (+.f64 y x) z))
(+.f64 (+.f64 y x) z)
(+.f64 y x)
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y (+.f64 x z)))
(fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y (+.f64 x z))
#s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64)))
(*.f64 (*.f64 y z) #s(literal -1/2 binary64))
(+.f64 (+.f64 x #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))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
(+.f64 x #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))
#s(approx (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))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)
#s(approx (+ (+ (* (cos y) z) x) (sin y)) (fma.f64 (cos.f64 y) z (sin.f64 y)))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(sin.f64 y)
(+.f64 (sin.f64 y) x)
#s(approx (cos y) #s(literal 1 binary64))
(*.f64 z #s(approx (cos y) #s(literal 1 binary64)))
(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))
Outputs
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (cos.f64 y) z (neg.f64 x)) (sin.f64 y))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (-.f64 x (sin.f64 y)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (cos.f64 y) z) (-.f64 (fma.f64 (cos.f64 y) z (neg.f64 x)) (sin.f64 y)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (sin.f64 y) x) (-.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (cos.f64 y) z (neg.f64 x)) (sin.f64 y))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (-.f64 x (sin.f64 y)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (cos.f64 y) z) (-.f64 (fma.f64 (cos.f64 y) z (neg.f64 x)) (sin.f64 y)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (sin.f64 y) x) (-.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))
(*.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (cos.f64 y) z (neg.f64 x)) (sin.f64 y))))
(*.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (-.f64 x (sin.f64 y)))))
(*.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (cos.f64 y) z) (-.f64 (fma.f64 (cos.f64 y) z (neg.f64 x)) (sin.f64 y)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (sin.f64 y) x) (-.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))))
(*.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))))
(*.f64 (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)))
(pow.f64 (*.f64 (/.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)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (fma.f64 (cos.f64 y) z (neg.f64 x)) (sin.f64 y)) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (cos.f64 y) z (-.f64 x (sin.f64 y))) (-.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (cos.f64 y) z) (-.f64 (fma.f64 (cos.f64 y) z (neg.f64 x)) (sin.f64 y)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (sin.f64 y) x) (-.f64 (+.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)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))) #s(literal -1 binary64))
(pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal 1 binary64))
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eval240.0ms (2.6%)

Memory
-7.4MiB live, 193.2MiB allocated
Compiler

Compiled 26 982 to 2 051 computations (92.4% saved)

prune306.0ms (3.4%)

Memory
-15.2MiB live, 262.8MiB allocated
Pruning

39 alts after pruning (34 fresh and 5 done)

PrunedKeptTotal
New1 080201 100
Fresh51419
Picked235
Done022
Total1 087391 126
Accuracy
100.0%
Counts
1 126 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.4%
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x))
41.9%
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)))
52.6%
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))))
52.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
63.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 (+.f64 y x) z))))
61.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 (sin.f64 y) x))))
67.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 z x))))
39.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (*.f64 (cos.f64 y) z))))
55.1%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (-.f64 x (sin.f64 y)))) #s(literal -1 binary64))))
43.6%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) z) (+ (sin y) x))) (/.f64 #s(literal 1 binary64) x)))
61.5%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) z) (+ (sin y) x))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (/.f64 y (*.f64 (+.f64 z x) (+.f64 z x))))))
99.9%
(+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))
89.7%
(+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y))
85.9%
(+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) (sin.f64 y))
54.0%
(+.f64 #s(approx (+ x (sin y)) (fma.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)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
62.0%
#s(approx (/ 1 (/ 1 (+ (* (cos y) z) (+ (sin y) x)))) (+.f64 (sin.f64 y) x))
88.9%
#s(approx (/ 1 (/ 1 (+ (* (cos y) z) (+ (sin y) x)))) (*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z))
40.0%
#s(approx (/ 1 (/ 1 (+ (* (cos y) z) (+ (sin y) x)))) (*.f64 (cos.f64 y) z))
40.9%
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (fma.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)) z))
54.2%
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (fma.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)) (sin.f64 y))))
29.8%
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y z)))
40.1%
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y x)))
42.0%
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 z x) y)))))
58.0%
#s(approx (+ (+ (* (cos y) z) x) (sin y)) (fma.f64 (cos.f64 y) z (sin.f64 y)))
29.2%
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z)))
20.6%
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (sin.f64 y)))
31.1%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 z z) z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (-.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 #s(literal -1/6 binary64) y)))))) y #s(literal 1 binary64)) y (+.f64 x z)))
54.3%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y (+.f64 x z)))
36.1%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (-.f64 x z)))
36.0%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z)))))
67.9%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))
36.0%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (-.f64 x z))))
32.8%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x)))
25.4%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))
2.7%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))))
2.7%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)))
61.3%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ x z) (fma.f64 (/.f64 z x) x x)))
56.9%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ x z) (fma.f64 (/.f64 x z) z z)))
Compiler

Compiled 1 184 to 661 computations (44.2% saved)

simplify168.0ms (1.9%)

Memory
18.3MiB live, 126.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 y)
cost-diff0
(+.f64 z x)
cost-diff0
#s(approx (+ (* (cos y) z) x) (+.f64 z x))
cost-diff0
(+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) (sin.f64 y))
cost-diff0
(-.f64 x z)
cost-diff0
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z)))))
cost-diff704
(/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z)))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z))))
cost-diff0
(fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64))
cost-diff0
(fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z)
cost-diff0
#s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z))
cost-diff0
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z)))
cost-diff0
(+.f64 y x)
cost-diff0
#s(approx (+ (+ y x) z) (+.f64 y x))
cost-diff0
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y x)))
cost-diff0
(/.f64 (*.f64 (cos.f64 y) z) x)
cost-diff0
#s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x))
cost-diff0
(+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y))
cost-diff1024
(fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)
Rules
12 492×lower-fma.f32
12 486×lower-fma.f64
4 332×lower-*.f32
4 326×lower-*.f64
1 818×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050267
075287
1135287
2246246
3566232
41239232
56673232
08334218
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y))
#s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x))
(fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)
(/.f64 (*.f64 (cos.f64 y) z) x)
(*.f64 (cos.f64 y) z)
(cos.f64 y)
y
z
x
(sin.f64 y)
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y x)))
#s(approx (+ (+ y x) z) (+.f64 y x))
(+.f64 y x)
y
x
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z)))
#s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z))
(fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z)
(fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 y z)
y
z
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z))))
#s(literal 1 binary64)
(/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z)))
(-.f64 x z)
x
z
(*.f64 (+.f64 x z) (-.f64 x z))
(+.f64 x z)
(+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) (sin.f64 y))
#s(approx (+ (* (cos y) z) x) (+.f64 z x))
(+.f64 z x)
z
x
(sin.f64 y)
y
Outputs
(+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y))
(+.f64 (sin.f64 y) #s(approx (+ (* (cos y) z) x) (fma.f64 (cos.f64 y) z x)))
#s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x))
#s(approx (+ (* (cos y) z) x) (fma.f64 (cos.f64 y) z x))
(fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)
(fma.f64 (cos.f64 y) z x)
(/.f64 (*.f64 (cos.f64 y) z) x)
(*.f64 (cos.f64 y) z)
(cos.f64 y)
y
z
x
(sin.f64 y)
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y x)))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 x y)))
#s(approx (+ (+ y x) z) (+.f64 y x))
#s(approx (+ (+ y x) z) (+.f64 x y))
(+.f64 y x)
(+.f64 x y)
y
x
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z)))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal 1 binary64)) y z)))
#s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z))
#s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal 1 binary64)) y z))
(fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z)
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal 1 binary64)) y z)
(fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal 1 binary64))
(*.f64 y z)
(*.f64 z y)
y
z
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z)))))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) (+.f64 x z))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z))))
(+.f64 x z)
#s(literal 1 binary64)
(/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z)))
(/.f64 #s(literal 1 binary64) (+.f64 x z))
(-.f64 x z)
x
z
(*.f64 (+.f64 x z) (-.f64 x z))
(+.f64 x z)
(+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) (sin.f64 y))
(+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 x z)) (sin.f64 y))
#s(approx (+ (* (cos y) z) x) (+.f64 z x))
#s(approx (+ (* (cos y) z) x) (+.f64 x z))
(+.f64 z x)
(+.f64 x z)
z
x
(sin.f64 y)
y

localize186.0ms (2.1%)

Memory
15.7MiB live, 137.8MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 z x)
accuracy0
(sin.f64 y)
accuracy0.01171875
(+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) (sin.f64 y))
accuracy12.80238297871681
#s(approx (+ (* (cos y) z) x) (+.f64 z x))
accuracy0
(*.f64 (+.f64 x z) (-.f64 x z))
accuracy0.1953125
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z))))
accuracy20.561564073717864
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z)))))
accuracy30.04571771598587
(/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z)))
accuracy0
(*.f64 y z)
accuracy0.03515625
(fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z)
accuracy26.85643166559196
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z)))
accuracy31.21060204084659
#s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z))
accuracy0
(+.f64 y x)
accuracy19.527772319501842
#s(approx (+ (+ y x) z) (+.f64 y x))
accuracy23.5604544793313
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y x)))
accuracy0.01171875
(+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y))
accuracy0.12109375
(/.f64 (*.f64 (cos.f64 y) z) x)
accuracy0.12890625
(*.f64 (cos.f64 y) z)
accuracy6.59703493512364
(fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)
Samples
105.0ms218×0valid
23.0ms38×1valid
Compiler

Compiled 189 to 42 computations (77.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 95.0ms
ival-cos: 30.0ms (31.5% of total)
ival-sin: 18.0ms (18.9% of total)
ival-add: 17.0ms (17.9% of total)
ival-mult: 14.0ms (14.7% of total)
ival-div: 7.0ms (7.4% of total)
ival-sub: 4.0ms (4.2% of total)
adjust: 4.0ms (4.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series83.0ms (0.9%)

Memory
-30.2MiB live, 60.4MiB allocated
Counts
22 → 636
Calls
Call 1
Inputs
#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())
#s(alt (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) (patch (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (patch #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (cos.f64 y) z) x) (patch (/.f64 (*.f64 (cos.f64 y) z) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y x))) (patch #s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ y x) z) (+.f64 y x)) (patch #s(approx (+ (+ y x) z) (+.f64 y x)) #<representation binary64>) () ())
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z))) (patch #s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z)) (patch #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z) (patch (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z)))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z))) (patch (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z))) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z))))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z))))) #<representation binary64>) () ())
#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())
#s(alt (+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) (sin.f64 y)) (patch (+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) (sin.f64 y)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (cos y) z) x) (+.f64 z x)) (patch #s(approx (+ (* (cos y) z) x) (+.f64 z x)) #<representation binary64>) () ())
#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt (*.f64 (cos.f64 y) z) (patch (*.f64 (cos.f64 y) z) #<representation binary64>) () ())
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 x z) (-.f64 x z)) (patch (*.f64 (+.f64 x z) (-.f64 x z)) #<representation binary64>) () ())
Outputs
#s(alt (+ x z) (taylor 0 y) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ z (* -1/2 (* (pow y 2) z)))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* z (cos y))) (taylor inf y) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* z (cos y))) (taylor inf y) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* z (cos y))) (taylor inf y) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* z (cos y))) (taylor inf y) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* z (cos y))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* z (cos y))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* z (cos y))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* z (cos y))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ())
#s(alt (* z (+ (cos y) (/ x z))) (taylor inf z) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ())
#s(alt (* z (+ (cos y) (/ x z))) (taylor inf z) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ())
#s(alt (* z (+ (cos y) (/ x z))) (taylor inf z) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z))))) (taylor -inf z) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z))))) (taylor -inf z) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z))))) (taylor -inf z) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor 0 x) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* z (cos y))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* z (cos y))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* z (cos y))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (* z (cos y)) x))) (taylor inf x) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (* z (cos y)) x))) (taylor inf x) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (* z (cos y)) x))) (taylor inf x) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ())
#s(alt (+ x z) (taylor 0 y) (#s(alt (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) (patch (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y z)) (taylor 0 y) (#s(alt (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) (patch (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) (taylor 0 y) (#s(alt (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) (patch (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) (taylor 0 y) (#s(alt (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) (patch (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor inf y) (#s(alt (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) (patch (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor inf y) (#s(alt (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) (patch (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor inf y) (#s(alt (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) (patch (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor inf y) (#s(alt (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) (patch (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor -inf y) (#s(alt (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) (patch (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor -inf y) (#s(alt (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) (patch (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor -inf y) (#s(alt (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) (patch (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor -inf y) (#s(alt (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) (patch (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (sin y)) (taylor 0 z) (#s(alt (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) (patch (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) (patch (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) (patch (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) (patch (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) (patch (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) (taylor inf z) (#s(alt (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) (patch (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) (taylor inf z) (#s(alt (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) (patch (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) (taylor inf z) (#s(alt (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) (patch (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) (patch (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) #<representation binary64>) () ())) ())
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#s(alt (* (pow z 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) z)))) z)) 1)) (taylor -inf z) (#s(alt (*.f64 (+.f64 x z) (-.f64 x z)) (patch (*.f64 (+.f64 x z) (-.f64 x z)) #<representation binary64>) () ())) ())
Calls

159 calls:

TimeVariablePointExpression
21.0ms
x
@-inf
(+ y x)
5.0ms
x
@inf
(/ (* (cos y) z) x)
1.0ms
x
@0
(/ (* (cos y) z) x)
0.0ms
z
@inf
(/ (* (cos y) z) x)
0.0ms
z
@0
(/ (* (cos y) z) x)

simplify245.0ms (2.7%)

Memory
11.7MiB live, 200.8MiB allocated
Algorithm
egg-herbie
Rules
7 124×lower-fma.f64
7 124×lower-fma.f32
4 464×lower-*.f64
4 464×lower-*.f32
3 266×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05525822
116985653
249555497
082855089
Stop Event
iter limit
node limit
Counts
636 → 585
Calls
Call 1
Inputs
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(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(+ x z)
(+ x (+ y z))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 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 z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (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)))))
(+ (sin y) (* z (cos y)))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(+ x z)
(+ x (+ z (* -1/2 (* (pow y 2) z))))
(+ x (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))))
(+ x (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))))
(+ x (* z (cos y)))
(+ x (* z (cos y)))
(+ x (* z (cos y)))
(+ x (* z (cos y)))
(+ x (* z (cos y)))
(+ x (* z (cos y)))
(+ x (* z (cos y)))
(+ x (* z (cos y)))
x
(+ x (* z (cos y)))
(+ x (* z (cos y)))
(+ x (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ x z)))
(* z (+ (cos y) (/ x z)))
(* z (+ (cos y) (/ x z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z)))))
(* z (cos y))
(+ x (* z (cos y)))
(+ x (* z (cos y)))
(+ x (* z (cos y)))
x
(* x (+ 1 (/ (* z (cos y)) x)))
(* x (+ 1 (/ (* z (cos y)) x)))
(* x (+ 1 (/ (* z (cos y)) x)))
x
(* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1)))
(* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1)))
(* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1)))
x
(+ x z)
(+ x z)
(+ x z)
z
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ x z)))
z
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
z
(+ x z)
(+ x z)
(+ x z)
x
(* x (+ 1 (/ z x)))
(* x (+ 1 (/ z x)))
(* x (+ 1 (/ z x)))
x
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
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
(+ 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))
(* 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))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* -1 (pow z 2))
(+ (* -1 (pow z 2)) (* x (+ z (* -1 z))))
(+ (* -1 (pow z 2)) (* x (+ x (+ z (* -1 z)))))
(+ (* -1 (pow z 2)) (* x (+ x (+ z (* -1 z)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* -1 (/ z x)) (/ z x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (/ z x)))))
(* (pow x 2) (+ 1 (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (/ z x)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* -1 (/ z x)) (/ z x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ z (* -1 z))) (/ (pow z 2) x)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ z (* -1 z))) (/ (pow z 2) x)) x))))
(pow x 2)
(+ (* z (+ x (* -1 x))) (pow x 2))
(+ (* z (+ x (+ (* -1 x) (* -1 z)))) (pow x 2))
(+ (* z (+ x (+ (* -1 x) (* -1 z)))) (pow x 2))
(* -1 (pow z 2))
(* (pow z 2) (- (+ (* -1 (/ x z)) (/ x z)) 1))
(* (pow z 2) (- (+ (* -1 (/ x z)) (+ (/ x z) (/ (pow x 2) (pow z 2)))) 1))
(* (pow z 2) (- (+ (* -1 (/ x z)) (+ (/ x z) (/ (pow x 2) (pow z 2)))) 1))
(* -1 (pow z 2))
(* (pow z 2) (- (* -1 (/ (+ x (* -1 x)) z)) 1))
(* (pow z 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) z)))) z)) 1))
(* (pow z 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) z)))) z)) 1))
Outputs
(+ x z)
(+.f64 z x)
(+ x (+ z (* -1/2 (* (pow y 2) z))))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z x)
(+ x (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))))
(fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) (+.f64 z x))
(+ x (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))))
(fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) (+.f64 z x))
(+ x (* z (cos y)))
(fma.f64 (cos.f64 y) z x)
(+ x (* z (cos y)))
(fma.f64 (cos.f64 y) z x)
(+ x (* z (cos y)))
(fma.f64 (cos.f64 y) z x)
(+ x (* z (cos y)))
(fma.f64 (cos.f64 y) z x)
(+ x (* z (cos y)))
(fma.f64 (cos.f64 y) z x)
(+ x (* z (cos y)))
(fma.f64 (cos.f64 y) z x)
(+ x (* z (cos y)))
(fma.f64 (cos.f64 y) z x)
(+ x (* z (cos y)))
(fma.f64 (cos.f64 y) z x)
x
(+ x (* z (cos y)))
(fma.f64 (cos.f64 y) z x)
(+ x (* z (cos y)))
(fma.f64 (cos.f64 y) z x)
(+ x (* z (cos y)))
(fma.f64 (cos.f64 y) z x)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (+ (cos y) (/ x z)))
(*.f64 (+.f64 (/.f64 x z) (cos.f64 y)) z)
(* z (+ (cos y) (/ x z)))
(*.f64 (+.f64 (/.f64 x z) (cos.f64 y)) z)
(* z (+ (cos y) (/ x z)))
(*.f64 (+.f64 (/.f64 x z) (cos.f64 y)) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z)))))
(*.f64 (+.f64 (/.f64 x z) (cos.f64 y)) z)
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z)))))
(*.f64 (+.f64 (/.f64 x z) (cos.f64 y)) z)
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z)))))
(*.f64 (+.f64 (/.f64 x z) (cos.f64 y)) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(+ x (* z (cos y)))
(fma.f64 (cos.f64 y) z x)
(+ x (* z (cos y)))
(fma.f64 (cos.f64 y) z x)
(+ x (* z (cos y)))
(fma.f64 (cos.f64 y) z x)
x
(* x (+ 1 (/ (* z (cos y)) x)))
(fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)
(* x (+ 1 (/ (* z (cos y)) x)))
(fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)
(* x (+ 1 (/ (* z (cos y)) x)))
(fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)
x
(* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1)))
(fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)
(* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1)))
(fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)
(* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1)))
(fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)
(+ x z)
(+.f64 z x)
(+ x (+ y z))
(+.f64 (+.f64 y x) z)
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z)
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z)
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(*.f64 (+.f64 (/.f64 (+.f64 (sin.f64 y) x) z) (cos.f64 y)) z)
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(*.f64 (+.f64 (/.f64 (+.f64 (sin.f64 y) x) z) (cos.f64 y)) z)
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(*.f64 (+.f64 (/.f64 (+.f64 (sin.f64 y) x) z) (cos.f64 y)) z)
(+ (sin y) (* z (cos y)))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x)
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x)
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x)
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(*.f64 (+.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(*.f64 (+.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(*.f64 (+.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal 1 binary64)) x)
(+ x z)
(+.f64 z x)
(+ x (+ z (* -1/2 (* (pow y 2) z))))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z x)
(+ x (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))))
(fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) (+.f64 z x))
(+ x (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))))
(fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) (+.f64 z x))
(+ x (* z (cos y)))
(fma.f64 (cos.f64 y) z x)
(+ x (* z (cos y)))
(fma.f64 (cos.f64 y) z x)
(+ x (* z (cos y)))
(fma.f64 (cos.f64 y) z x)
(+ x (* z (cos y)))
(fma.f64 (cos.f64 y) z x)
(+ x (* z (cos y)))
(fma.f64 (cos.f64 y) z x)
(+ x (* z (cos y)))
(fma.f64 (cos.f64 y) z x)
(+ x (* z (cos y)))
(fma.f64 (cos.f64 y) z x)
(+ x (* z (cos y)))
(fma.f64 (cos.f64 y) z x)
x
(+ x (* z (cos y)))
(fma.f64 (cos.f64 y) z x)
(+ x (* z (cos y)))
(fma.f64 (cos.f64 y) z x)
(+ x (* z (cos y)))
(fma.f64 (cos.f64 y) z x)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (+ (cos y) (/ x z)))
(*.f64 (+.f64 (/.f64 x z) (cos.f64 y)) z)
(* z (+ (cos y) (/ x z)))
(*.f64 (+.f64 (/.f64 x z) (cos.f64 y)) z)
(* z (+ (cos y) (/ x z)))
(*.f64 (+.f64 (/.f64 x z) (cos.f64 y)) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z)))))
(*.f64 (+.f64 (/.f64 x z) (cos.f64 y)) z)
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z)))))
(*.f64 (+.f64 (/.f64 x z) (cos.f64 y)) z)
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z)))))
(*.f64 (+.f64 (/.f64 x z) (cos.f64 y)) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(+ x (* z (cos y)))
(fma.f64 (cos.f64 y) z x)
(+ x (* z (cos y)))
(fma.f64 (cos.f64 y) z x)
(+ x (* z (cos y)))
(fma.f64 (cos.f64 y) z x)
x
(* x (+ 1 (/ (* z (cos y)) x)))
(fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)
(* x (+ 1 (/ (* z (cos y)) x)))
(fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)
(* x (+ 1 (/ (* z (cos y)) x)))
(fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)
x
(* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1)))
(fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)
(* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1)))
(fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)
(* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1)))
(fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)
(/ z x)
(/.f64 z x)
(+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))
(fma.f64 (/.f64 (*.f64 (*.f64 y y) z) x) #s(literal -1/2 binary64) (/.f64 z x))
(+ (* (pow y 2) (+ (* -1/2 (/ z x)) (* 1/24 (/ (* (pow y 2) z) x)))) (/ z x))
(fma.f64 (*.f64 (/.f64 z x) (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) (/.f64 z x))
(+ (* (pow y 2) (+ (* -1/2 (/ z x)) (* (pow y 2) (+ (* -1/720 (/ (* (pow y 2) z) x)) (* 1/24 (/ z x)))))) (/ z x))
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y y) z) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 (/.f64 z x) #s(literal -1/2 binary64))) (*.f64 y y) (/.f64 z x))
(/ (* z (cos y)) x)
(/.f64 (*.f64 (cos.f64 y) z) x)
(/ (* z (cos y)) x)
(/.f64 (*.f64 (cos.f64 y) z) x)
(/ (* z (cos y)) x)
(/.f64 (*.f64 (cos.f64 y) z) x)
(/ (* z (cos y)) x)
(/.f64 (*.f64 (cos.f64 y) z) x)
(/ (* z (cos y)) x)
(/.f64 (*.f64 (cos.f64 y) z) x)
(/ (* z (cos y)) x)
(/.f64 (*.f64 (cos.f64 y) z) x)
(/ (* z (cos y)) x)
(/.f64 (*.f64 (cos.f64 y) z) x)
(/ (* z (cos y)) x)
(/.f64 (*.f64 (cos.f64 y) z) x)
(/ (* z (cos y)) x)
(/.f64 (*.f64 (cos.f64 y) z) x)
(/ (* z (cos y)) x)
(/.f64 (*.f64 (cos.f64 y) z) x)
(/ (* z (cos y)) x)
(/.f64 (*.f64 (cos.f64 y) z) x)
(/ (* z (cos y)) x)
(/.f64 (*.f64 (cos.f64 y) z) x)
(/ (* z (cos y)) x)
(/.f64 (*.f64 (cos.f64 y) z) x)
(/ (* z (cos y)) x)
(/.f64 (*.f64 (cos.f64 y) z) x)
(/ (* z (cos y)) x)
(/.f64 (*.f64 (cos.f64 y) z) x)
(/ (* z (cos y)) x)
(/.f64 (*.f64 (cos.f64 y) z) x)
(/ (* z (cos y)) x)
(/.f64 (*.f64 (cos.f64 y) z) x)
(/ (* z (cos y)) x)
(/.f64 (*.f64 (cos.f64 y) z) x)
(/ (* z (cos y)) x)
(/.f64 (*.f64 (cos.f64 y) z) x)
(/ (* z (cos y)) x)
(/.f64 (*.f64 (cos.f64 y) z) x)
(/ (* z (cos y)) x)
(/.f64 (*.f64 (cos.f64 y) z) x)
(/ (* z (cos y)) x)
(/.f64 (*.f64 (cos.f64 y) z) x)
(/ (* z (cos y)) x)
(/.f64 (*.f64 (cos.f64 y) z) x)
(/ (* z (cos y)) x)
(/.f64 (*.f64 (cos.f64 y) z) x)
(/ (* z (cos y)) x)
(/.f64 (*.f64 (cos.f64 y) z) x)
(/ (* z (cos y)) x)
(/.f64 (*.f64 (cos.f64 y) z) x)
(/ (* z (cos y)) x)
(/.f64 (*.f64 (cos.f64 y) z) x)
(/ (* z (cos y)) x)
(/.f64 (*.f64 (cos.f64 y) z) x)
(/ (* z (cos y)) x)
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rewrite253.0ms (2.8%)

Memory
3.9MiB live, 282.0MiB allocated
Rules
5 202×lower-*.f32
5 196×lower-*.f64
3 428×lower-/.f32
3 422×lower-/.f64
3 364×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050245
075255
1371206
23169203
08433191
Stop Event
iter limit
node limit
iter limit
Counts
22 → 418
Calls
Call 1
Inputs
(fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)
(+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y))
#s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x))
(/.f64 (*.f64 (cos.f64 y) z) x)
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y x)))
#s(approx (+ (+ y x) z) (+.f64 y x))
(+.f64 y x)
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z)))
#s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z))
(fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z)
(fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z))))
(/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z)))))
(-.f64 x z)
(+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) (sin.f64 y))
#s(approx (+ (* (cos y) z) x) (+.f64 z x))
(+.f64 z x)
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(*.f64 y z)
(*.f64 (+.f64 x z) (-.f64 x z))
Outputs
(*.f64 (fma.f64 (/.f64 z x) (cos.f64 y) #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) (neg.f64 x))))
(*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 1 binary64) (*.f64 x (-.f64 x (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)))))))
(*.f64 x (fma.f64 (/.f64 z x) (cos.f64 y) #s(literal 1 binary64)))
(pow.f64 (/.f64 (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) (neg.f64 x)) (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 1 binary64) (*.f64 (neg.f64 x) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 1 binary64) (*.f64 x (-.f64 x (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64))))) (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) (neg.f64 x))) (*.f64 (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) (neg.f64 x)) (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) (neg.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) (-.f64 x (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 1 binary64) (*.f64 (neg.f64 x) x))) (neg.f64 (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) (neg.f64 x))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 1 binary64) (*.f64 x (-.f64 x (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)))))))
(/.f64 (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) (neg.f64 x)))
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)) x))))
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 1 binary64) (*.f64 x (-.f64 x (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) (neg.f64 x)) (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 1 binary64) (*.f64 (neg.f64 x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 1 binary64) (*.f64 x (-.f64 x (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64))))) (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)) #s(literal 3 binary64)))))
(fma.f64 (*.f64 x (cos.f64 y)) (/.f64 z x) x)
(fma.f64 (*.f64 x (*.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) x) x)
(fma.f64 (/.f64 (*.f64 z (cos.f64 y)) x) x x)
(fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) x)
(fma.f64 (*.f64 z (cos.f64 y)) (/.f64 x x) x)
(fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) x)
(fma.f64 (cos.f64 y) (*.f64 (/.f64 z x) x) x)
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) (neg.f64 x))))
(+.f64 (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)) x)
(+.f64 x (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) x)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) x)) (sin.f64 y))))
(*.f64 (+.f64 (pow.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) #s(approx (+ (* (cos y) z) x) (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) x))) (pow.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
(pow.f64 (/.f64 (-.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) x)) (sin.f64 y)) (-.f64 (pow.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) x)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) #s(approx (+ (* (cos y) z) x) (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) x))) (pow.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (pow.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) x)) #s(literal 2 binary64)) (-.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) x)) (sin.f64 y))) (*.f64 (-.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) x)) (sin.f64 y)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (*.f64 (-.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) x)) (sin.f64 y)) (-.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) x)) (sin.f64 y))))
(/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) x)) #s(literal 2 binary64))) (-.f64 (sin.f64 y) #s(approx (+ (* (cos y) z) x) (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) x)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (neg.f64 (-.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) x)) (sin.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) #s(approx (+ (* (cos y) z) x) (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) x))) (pow.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) x)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (-.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) x)) (sin.f64 y)))
(/.f64 (+.f64 (pow.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (pow.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (sin.f64 y) #s(approx (+ (* (cos y) z) x) (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) x))))))
(/.f64 (+.f64 (pow.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) #s(approx (+ (* (cos y) z) x) (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) x))) (pow.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) x)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) x)) (sin.f64 y)) (-.f64 (pow.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) x)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) #s(approx (+ (* (cos y) z) x) (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) x))) (pow.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (pow.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))
(-.f64 (/.f64 (pow.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) x)) #s(literal 2 binary64)) (-.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) x)) (sin.f64 y))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) x)) (sin.f64 y))))
(+.f64 (sin.f64 y) #s(approx (+ (* (cos y) z) x) (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) x)))
(+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) x)) (sin.f64 y))
#s(approx (+ (* (cos y) z) x) (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) x))
(*.f64 (/.f64 z x) (cos.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z (cos.f64 y)))
(*.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (cos.f64 y)) x))
(*.f64 (*.f64 z (cos.f64 y)) (/.f64 #s(literal 1 binary64) x))
(*.f64 z (/.f64 (cos.f64 y) x))
(*.f64 z (*.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (cos.f64 y) (/.f64 z x))
(pow.f64 (/.f64 (/.f64 x (*.f64 z (cos.f64 y))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (*.f64 z (cos.f64 y))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 z) (cos.f64 y))) (neg.f64 (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 z (cos.f64 y)))))
(/.f64 (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 z (cos.f64 y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z (cos.f64 y))))
(/.f64 (*.f64 z (cos.f64 y)) x)
(neg.f64 (/.f64 (*.f64 (neg.f64 z) (cos.f64 y)) x))
(neg.f64 (/.f64 (*.f64 z (cos.f64 y)) (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 z (cos.f64 y)))) #s(literal -1 binary64)))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (+ y x) z) (+.f64 x y)))
#s(approx (+ (+ y x) z) (+.f64 x y))
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(*.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(pow.f64 (/.f64 (-.f64 y x) (*.f64 (+.f64 x y) (-.f64 y x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 y x)) (*.f64 (-.f64 y x) (*.f64 x x))) (*.f64 (-.f64 y x) (-.f64 y x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 x y))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x))
(/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 x y))))
(/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 x y) (-.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))
(+.f64 x y)
(+.f64 y x)
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal 1 binary64)) y z)))
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eval206.0ms (2.3%)

Memory
19.1MiB live, 304.8MiB allocated
Compiler

Compiled 18 655 to 1 640 computations (91.2% saved)

prune241.0ms (2.7%)

Memory
-4.5MiB live, 361.7MiB allocated
Pruning

47 alts after pruning (41 fresh and 6 done)

PrunedKeptTotal
New1 037231 060
Fresh111829
Picked235
Done235
Total1 052471 099
Accuracy
100.0%
Counts
1 099 → 47
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.9%
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)))
52.6%
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
63.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 (+.f64 y x) z))))
61.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 (sin.f64 y) x))))
39.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (*.f64 (cos.f64 y) z))))
43.6%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) z) (+ (sin y) x))) (/.f64 #s(literal 1 binary64) x)))
61.5%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) z) (+ (sin y) x))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (/.f64 y (*.f64 (+.f64 z x) (+.f64 z x))))))
99.9%
(+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))
50.3%
(+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y)))
89.7%
(+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (*.f64 z (/.f64 (cos.f64 y) x)) x x)) (sin.f64 y))
89.7%
(+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (*.f64 x (cos.f64 y)) (/.f64 z x) x)) (sin.f64 y))
85.9%
(+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) (sin.f64 y))
53.4%
(+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) #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)))
54.0%
(+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) #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)))
62.0%
#s(approx (/ 1 (/ 1 (+ (* (cos y) z) (+ (sin y) x)))) (+.f64 (sin.f64 y) x))
88.9%
#s(approx (/ 1 (/ 1 (+ (* (cos y) z) (+ (sin y) x)))) (*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z))
40.0%
#s(approx (/ 1 (/ 1 (+ (* (cos y) z) (+ (sin y) x)))) (*.f64 (cos.f64 y) z))
54.2%
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (fma.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)) (sin.f64 y))))
29.8%
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y z)))
40.1%
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y x)))
19.6%
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))))
42.0%
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 z x) y)))))
58.0%
#s(approx (+ (+ (* (cos y) z) x) (sin y)) (fma.f64 (cos.f64 y) z (sin.f64 y)))
29.2%
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z)))
26.4%
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal -1 binary64))) y z)))
20.6%
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (sin.f64 y)))
25.4%
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))))
13.4%
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) y)) y) y))))
2.7%
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) y))))
31.1%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 z z) z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (-.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 #s(literal -1/6 binary64) y)))))) y #s(literal 1 binary64)) y (+.f64 x z)))
35.6%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (-.f64 x z)))))
36.1%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x)))
34.8%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) #s(approx (- x z) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x))))))
16.5%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) #s(approx (- x z) (neg.f64 z))))))
15.9%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) #s(approx (* (+ x z) (- x z)) (*.f64 (neg.f64 z) z)))))
22.2%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) #s(approx (* (+ x z) (- x z)) (*.f64 x x)))))
32.2%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- x z) (*.f64 (-.f64 (/.f64 x z) #s(literal 1 binary64)) z)) (*.f64 (+.f64 x z) (-.f64 x z)))))
16.8%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- x z) (neg.f64 z)) (*.f64 (+.f64 x z) (-.f64 x z)))))
26.7%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- x z) (* (+ x z) (- x z))) (/.f64 #s(literal 1 binary64) z))))
67.9%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))
21.2%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z))) (fma.f64 x x (*.f64 z (+.f64 x z)))))
67.7%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) (+.f64 x z)) (-.f64 x z)))
61.3%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ (- x z) (* (+ x z) (- x z)))) (fma.f64 (/.f64 z x) x x)))
56.9%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ (- x z) (* (+ x z) (- x z)))) (fma.f64 (/.f64 x z) z z)))
32.8%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x)))
2.7%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))))
2.7%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)))
Compiler

Compiled 1 816 to 653 computations (64% saved)

regimes137.0ms (1.5%)

Memory
-17.2MiB live, 188.1MiB allocated
Counts
79 → 1
Calls
Call 1
Inputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y x)))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x y) z))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (+.f64 (+.f64 y x) z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) y))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ x z) (fma.f64 (/.f64 x z) z z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ x z) (fma.f64 (/.f64 z x) x x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ (- x z) (* (+ x z) (- x z)))) (fma.f64 (/.f64 x z) z z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ (- x z) (* (+ x z) (- x z)))) (fma.f64 (/.f64 z x) x x)))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y (+.f64 x z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- x z) (* (+ x z) (- x z))) (/.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) z) (+ (sin y) x))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 z x) y)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (-.f64 x z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 z x))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 (+.f64 y x) z))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (-.f64 x z))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) (+.f64 x z)) (-.f64 x z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) #s(approx (* (+ x z) (- x z)) (*.f64 x x)))))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (fma.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)) z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) #s(approx (* (+ x z) (- x z)) (*.f64 (neg.f64 z) z)))))
(+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) #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)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- x z) (neg.f64 z)) (*.f64 (+.f64 x z) (-.f64 x z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) #s(approx (- x z) (neg.f64 z))))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z)))))
(+.f64 #s(approx (+ x (sin y)) (fma.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)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) y)) y) y))))
(+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (-.f64 x z)))))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal -1 binary64))) y z)))
(+.f64 (+.f64 x #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))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) z) (+ (sin y) x))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (/.f64 y (*.f64 (+.f64 z x) (+.f64 z x))))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- x z) (*.f64 (-.f64 (/.f64 x z) #s(literal 1 binary64)) z)) (*.f64 (+.f64 x z) (-.f64 x z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) #s(approx (- x z) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x))))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z))) (fma.f64 x x (*.f64 z (+.f64 x z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 z z) z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (-.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 #s(literal -1/6 binary64) y)))))) y #s(literal 1 binary64)) y (+.f64 x z)))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (sin.f64 y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y)))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) (+.f64 (sin.f64 y) x))
#s(approx (/ 1 (/ 1 (+ (* (cos y) z) (+ (sin y) x)))) (+.f64 (sin.f64 y) x))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (*.f64 (cos.f64 y) z))
#s(approx (/ 1 (/ 1 (+ (* (cos y) z) (+ (sin y) x)))) (*.f64 (cos.f64 y) z))
(+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) (sin.f64 y))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 (sin.f64 y) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (*.f64 (cos.f64 y) z))))
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
(+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y)))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (*.f64 x (cos.f64 y)) (/.f64 z x) x)) (sin.f64 y))
(+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (*.f64 z (/.f64 (cos.f64 y) x)) x x)) (sin.f64 y))
(+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) (*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z))
#s(approx (/ 1 (/ 1 (+ (* (cos y) z) (+ (sin y) x)))) (*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (fma.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)) (sin.f64 y))))
(+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y)))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 z z) (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (-.f64 x (sin.f64 y)))) #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
Outputs
(+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))
Calls

4 calls:

46.0ms
x
38.0ms
y
25.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
23.0ms
z
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1z
99.9%1(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes84.0ms (0.9%)

Memory
23.5MiB live, 177.7MiB allocated
Counts
64 → 3
Calls
Call 1
Inputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y x)))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x y) z))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (+.f64 (+.f64 y x) z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) y))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ x z) (fma.f64 (/.f64 x z) z z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ x z) (fma.f64 (/.f64 z x) x x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ (- x z) (* (+ x z) (- x z)))) (fma.f64 (/.f64 x z) z z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ (- x z) (* (+ x z) (- x z)))) (fma.f64 (/.f64 z x) x x)))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y (+.f64 x z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- x z) (* (+ x z) (- x z))) (/.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) z) (+ (sin y) x))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 z x) y)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (-.f64 x z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 z x))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 (+.f64 y x) z))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (-.f64 x z))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) (+.f64 x z)) (-.f64 x z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) #s(approx (* (+ x z) (- x z)) (*.f64 x x)))))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (fma.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)) z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) #s(approx (* (+ x z) (- x z)) (*.f64 (neg.f64 z) z)))))
(+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) #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)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- x z) (neg.f64 z)) (*.f64 (+.f64 x z) (-.f64 x z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) #s(approx (- x z) (neg.f64 z))))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z)))))
(+.f64 #s(approx (+ x (sin y)) (fma.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)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) y)) y) y))))
(+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (-.f64 x z)))))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal -1 binary64))) y z)))
(+.f64 (+.f64 x #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))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) z) (+ (sin y) x))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (/.f64 y (*.f64 (+.f64 z x) (+.f64 z x))))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- x z) (*.f64 (-.f64 (/.f64 x z) #s(literal 1 binary64)) z)) (*.f64 (+.f64 x z) (-.f64 x z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) #s(approx (- x z) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x))))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z))) (fma.f64 x x (*.f64 z (+.f64 x z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 z z) z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (-.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 #s(literal -1/6 binary64) y)))))) y #s(literal 1 binary64)) y (+.f64 x z)))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (sin.f64 y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y)))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) (+.f64 (sin.f64 y) x))
#s(approx (/ 1 (/ 1 (+ (* (cos y) z) (+ (sin y) x)))) (+.f64 (sin.f64 y) x))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (*.f64 (cos.f64 y) z))
#s(approx (/ 1 (/ 1 (+ (* (cos y) z) (+ (sin y) x)))) (*.f64 (cos.f64 y) z))
(+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) (sin.f64 y))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 (sin.f64 y) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (*.f64 (cos.f64 y) z))))
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
(+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y)))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) (fma.f64 (cos.f64 y) z (sin.f64 y)))
Outputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
(+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) (sin.f64 y))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
Calls

4 calls:

21.0ms
y
20.0ms
x
20.0ms
z
19.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Results
AccuracySegmentsBranch
91.0%3x
85.9%1y
93.6%3z
85.9%1(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes99.0ms (1.1%)

Memory
-19.5MiB live, 140.0MiB allocated
Counts
56 → 5
Calls
Call 1
Inputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y x)))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x y) z))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (+.f64 (+.f64 y x) z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) y))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ x z) (fma.f64 (/.f64 x z) z z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ x z) (fma.f64 (/.f64 z x) x x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ (- x z) (* (+ x z) (- x z)))) (fma.f64 (/.f64 x z) z z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ (- x z) (* (+ x z) (- x z)))) (fma.f64 (/.f64 z x) x x)))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y (+.f64 x z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- x z) (* (+ x z) (- x z))) (/.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) z) (+ (sin y) x))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 z x) y)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (-.f64 x z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 z x))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 (+.f64 y x) z))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (-.f64 x z))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) (+.f64 x z)) (-.f64 x z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) #s(approx (* (+ x z) (- x z)) (*.f64 x x)))))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (fma.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)) z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) #s(approx (* (+ x z) (- x z)) (*.f64 (neg.f64 z) z)))))
(+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) #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)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- x z) (neg.f64 z)) (*.f64 (+.f64 x z) (-.f64 x z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) #s(approx (- x z) (neg.f64 z))))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z)))))
(+.f64 #s(approx (+ x (sin y)) (fma.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)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) y)) y) y))))
(+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (-.f64 x z)))))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal -1 binary64))) y z)))
(+.f64 (+.f64 x #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))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) z) (+ (sin y) x))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (/.f64 y (*.f64 (+.f64 z x) (+.f64 z x))))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- x z) (*.f64 (-.f64 (/.f64 x z) #s(literal 1 binary64)) z)) (*.f64 (+.f64 x z) (-.f64 x z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) #s(approx (- x z) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x))))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z))) (fma.f64 x x (*.f64 z (+.f64 x z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 z z) z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (-.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 #s(literal -1/6 binary64) y)))))) y #s(literal 1 binary64)) y (+.f64 x z)))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (sin.f64 y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y)))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) (+.f64 (sin.f64 y) x))
#s(approx (/ 1 (/ 1 (+ (* (cos y) z) (+ (sin y) x)))) (+.f64 (sin.f64 y) x))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (*.f64 (cos.f64 y) z))
#s(approx (/ 1 (/ 1 (+ (* (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))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
Calls

4 calls:

36.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
25.0ms
x
18.0ms
y
16.0ms
z
Results
AccuracySegmentsBranch
84.7%3y
85.9%5(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
72.7%3x
90.9%5z
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes37.0ms (0.4%)

Memory
13.1MiB live, 87.9MiB allocated
Counts
53 → 3
Calls
Call 1
Inputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y x)))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x y) z))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (+.f64 (+.f64 y x) z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) y))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ x z) (fma.f64 (/.f64 x z) z z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ x z) (fma.f64 (/.f64 z x) x x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ (- x z) (* (+ x z) (- x z)))) (fma.f64 (/.f64 x z) z z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ (- x z) (* (+ x z) (- x z)))) (fma.f64 (/.f64 z x) x x)))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y (+.f64 x z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- x z) (* (+ x z) (- x z))) (/.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) z) (+ (sin y) x))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 z x) y)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (-.f64 x z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 z x))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 (+.f64 y x) z))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (-.f64 x z))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) (+.f64 x z)) (-.f64 x z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) #s(approx (* (+ x z) (- x z)) (*.f64 x x)))))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (fma.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)) z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) #s(approx (* (+ x z) (- x z)) (*.f64 (neg.f64 z) z)))))
(+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) #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)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- x z) (neg.f64 z)) (*.f64 (+.f64 x z) (-.f64 x z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) #s(approx (- x z) (neg.f64 z))))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z)))))
(+.f64 #s(approx (+ x (sin y)) (fma.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)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) y)) y) y))))
(+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (-.f64 x z)))))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal -1 binary64))) y z)))
(+.f64 (+.f64 x #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))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) z) (+ (sin y) x))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (/.f64 y (*.f64 (+.f64 z x) (+.f64 z x))))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- x z) (*.f64 (-.f64 (/.f64 x z) #s(literal 1 binary64)) z)) (*.f64 (+.f64 x z) (-.f64 x z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) #s(approx (- x z) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x))))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z))) (fma.f64 x x (*.f64 z (+.f64 x z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 z z) z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (-.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 #s(literal -1/6 binary64) y)))))) y #s(literal 1 binary64)) y (+.f64 x z)))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (sin.f64 y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y)))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) (+.f64 (sin.f64 y) x))
#s(approx (/ 1 (/ 1 (+ (* (cos y) z) (+ (sin y) x)))) (+.f64 (sin.f64 y) x))
Outputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y)))
(+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) #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)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y)))
Calls

2 calls:

17.0ms
z
17.0ms
y
Results
AccuracySegmentsBranch
84.7%3y
83.3%3z
Compiler

Compiled 8 to 6 computations (25% saved)

regimes50.0ms (0.5%)

Memory
-5.5MiB live, 117.3MiB allocated
Counts
50 → 5
Calls
Call 1
Inputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y x)))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x y) z))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (+.f64 (+.f64 y x) z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) y))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ x z) (fma.f64 (/.f64 x z) z z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ x z) (fma.f64 (/.f64 z x) x x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ (- x z) (* (+ x z) (- x z)))) (fma.f64 (/.f64 x z) z z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ (- x z) (* (+ x z) (- x z)))) (fma.f64 (/.f64 z x) x x)))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y (+.f64 x z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- x z) (* (+ x z) (- x z))) (/.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) z) (+ (sin y) x))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 z x) y)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (-.f64 x z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 z x))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 (+.f64 y x) z))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (-.f64 x z))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) (+.f64 x z)) (-.f64 x z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) #s(approx (* (+ x z) (- x z)) (*.f64 x x)))))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (fma.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)) z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) #s(approx (* (+ x z) (- x z)) (*.f64 (neg.f64 z) z)))))
(+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) #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)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- x z) (neg.f64 z)) (*.f64 (+.f64 x z) (-.f64 x z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) #s(approx (- x z) (neg.f64 z))))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z)))))
(+.f64 #s(approx (+ x (sin y)) (fma.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)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) y)) y) y))))
(+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (-.f64 x z)))))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal -1 binary64))) y z)))
(+.f64 (+.f64 x #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))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) z) (+ (sin y) x))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (/.f64 y (*.f64 (+.f64 z x) (+.f64 z x))))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- x z) (*.f64 (-.f64 (/.f64 x z) #s(literal 1 binary64)) z)) (*.f64 (+.f64 x z) (-.f64 x z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) #s(approx (- x z) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x))))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z))) (fma.f64 x x (*.f64 z (+.f64 x z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 z z) z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (-.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 #s(literal -1/6 binary64) y)))))) y #s(literal 1 binary64)) y (+.f64 x z)))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (sin.f64 y)))
Outputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (sin.f64 y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x y) z))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (sin.f64 y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))
Calls

3 calls:

17.0ms
y
15.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
15.0ms
z
Results
AccuracySegmentsBranch
85.2%5(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
67.9%1z
72.4%3y
Compiler

Compiled 20 to 14 computations (30% saved)

regimes50.0ms (0.5%)

Memory
-13.0MiB live, 113.7MiB allocated
Counts
49 → 3
Calls
Call 1
Inputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y x)))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x y) z))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (+.f64 (+.f64 y x) z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) y))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ x z) (fma.f64 (/.f64 x z) z z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ x z) (fma.f64 (/.f64 z x) x x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ (- x z) (* (+ x z) (- x z)))) (fma.f64 (/.f64 x z) z z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ (- x z) (* (+ x z) (- x z)))) (fma.f64 (/.f64 z x) x x)))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y (+.f64 x z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- x z) (* (+ x z) (- x z))) (/.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) z) (+ (sin y) x))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 z x) y)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (-.f64 x z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 z x))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 (+.f64 y x) z))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (-.f64 x z))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) (+.f64 x z)) (-.f64 x z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) #s(approx (* (+ x z) (- x z)) (*.f64 x x)))))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (fma.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)) z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) #s(approx (* (+ x z) (- x z)) (*.f64 (neg.f64 z) z)))))
(+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) #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)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- x z) (neg.f64 z)) (*.f64 (+.f64 x z) (-.f64 x z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) #s(approx (- x z) (neg.f64 z))))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z)))))
(+.f64 #s(approx (+ x (sin y)) (fma.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)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) y)) y) y))))
(+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (-.f64 x z)))))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal -1 binary64))) y z)))
(+.f64 (+.f64 x #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))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) z) (+ (sin y) x))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (/.f64 y (*.f64 (+.f64 z x) (+.f64 z x))))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- x z) (*.f64 (-.f64 (/.f64 x z) #s(literal 1 binary64)) z)) (*.f64 (+.f64 x z) (-.f64 x z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) #s(approx (- x z) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x))))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z))) (fma.f64 x x (*.f64 z (+.f64 x z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 z z) z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (-.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 #s(literal -1/6 binary64) y)))))) y #s(literal 1 binary64)) y (+.f64 x z)))
Outputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))
(+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))
Calls

3 calls:

18.0ms
x
15.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
15.0ms
y
Results
AccuracySegmentsBranch
72.0%3y
71.3%3x
72.0%3(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 20 to 14 computations (30% saved)

regimes27.0ms (0.3%)

Memory
-7.8MiB live, 68.9MiB allocated
Counts
39 → 3
Calls
Call 1
Inputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y x)))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x y) z))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (+.f64 (+.f64 y x) z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) y))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ x z) (fma.f64 (/.f64 x z) z z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ x z) (fma.f64 (/.f64 z x) x x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ (- x z) (* (+ x z) (- x z)))) (fma.f64 (/.f64 x z) z z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ (- x z) (* (+ x z) (- x z)))) (fma.f64 (/.f64 z x) x x)))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y (+.f64 x z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- x z) (* (+ x z) (- x z))) (/.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) z) (+ (sin y) x))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 z x) y)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (-.f64 x z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 z x))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 (+.f64 y x) z))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (-.f64 x z))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) (+.f64 x z)) (-.f64 x z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) #s(approx (* (+ x z) (- x z)) (*.f64 x x)))))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (fma.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)) z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) #s(approx (* (+ x z) (- x z)) (*.f64 (neg.f64 z) z)))))
(+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) #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)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- x z) (neg.f64 z)) (*.f64 (+.f64 x z) (-.f64 x z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) #s(approx (- x z) (neg.f64 z))))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z)))))
(+.f64 #s(approx (+ x (sin y)) (fma.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)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) y)) y) y))))
Outputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))
(+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) #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)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))
Calls

2 calls:

12.0ms
y
12.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Results
AccuracySegmentsBranch
71.9%3(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
71.9%3y
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes24.0ms (0.3%)

Memory
21.5MiB live, 62.6MiB allocated
Counts
33 → 3
Calls
Call 1
Inputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y x)))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x y) z))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (+.f64 (+.f64 y x) z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) y))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ x z) (fma.f64 (/.f64 x z) z z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ x z) (fma.f64 (/.f64 z x) x x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ (- x z) (* (+ x z) (- x z)))) (fma.f64 (/.f64 x z) z z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ (- x z) (* (+ x z) (- x z)))) (fma.f64 (/.f64 z x) x x)))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y (+.f64 x z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- x z) (* (+ x z) (- x z))) (/.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) z) (+ (sin y) x))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 z x) y)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (-.f64 x z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 z x))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 (+.f64 y x) z))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (-.f64 x z))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) (+.f64 x z)) (-.f64 x z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) #s(approx (* (+ x z) (- x z)) (*.f64 x x)))))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (fma.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)) z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) #s(approx (* (+ x z) (- x z)) (*.f64 (neg.f64 z) z)))))
Outputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))
Calls

2 calls:

13.0ms
y
10.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Results
AccuracySegmentsBranch
71.8%3y
71.8%3(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes19.0ms (0.2%)

Memory
-22.6MiB live, 54.6MiB allocated
Counts
25 → 3
Calls
Call 1
Inputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y x)))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x y) z))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (+.f64 (+.f64 y x) z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) y))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ x z) (fma.f64 (/.f64 x z) z z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ x z) (fma.f64 (/.f64 z x) x x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ (- x z) (* (+ x z) (- x z)))) (fma.f64 (/.f64 x z) z z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ (- x z) (* (+ x z) (- x z)))) (fma.f64 (/.f64 z x) x x)))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y (+.f64 x z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- x z) (* (+ x z) (- x z))) (/.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) z) (+ (sin y) x))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 z x) y)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (-.f64 x z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 z x))))
Outputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))
Calls

2 calls:

9.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
9.0ms
y
Results
AccuracySegmentsBranch
71.8%3(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
71.7%3y
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes7.0ms (0.1%)

Memory
19.2MiB live, 19.2MiB allocated
Counts
17 → 3
Calls
Call 1
Inputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y x)))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x y) z))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (+.f64 (+.f64 y x) z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) y))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ x z) (fma.f64 (/.f64 x z) z z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ x z) (fma.f64 (/.f64 z x) x x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ (- x z) (* (+ x z) (- x z)))) (fma.f64 (/.f64 x z) z z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ (- x z) (* (+ x z) (- x z)))) (fma.f64 (/.f64 z x) x x)))
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y (+.f64 x z)))
Outputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x y) z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))
Calls

1 calls:

5.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Results
AccuracySegmentsBranch
71.7%3(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
-20.7MiB live, 18.0MiB allocated
Accuracy

Total -41.5b remaining (-202%)

Threshold costs -41.5b (-202%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y x)))
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y z)))
Outputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))
Calls

3 calls:

3.0ms
x
2.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
2.0ms
y
Results
AccuracySegmentsBranch
67.9%1x
67.9%1y
67.9%1(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 20 to 14 computations (30% saved)

bsearch42.0ms (0.5%)

Memory
16.8MiB live, 93.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
5.508153727024008e+151
3.779982725026806e+155
22.0ms
-5.14102604891171e+215
-9.673924423465436e+206
Samples
26.0ms272×0valid
Compiler

Compiled 355 to 235 computations (33.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-sin: 7.0ms (42.1% of total)
ival-cos: 5.0ms (30.1% of total)
ival-add: 2.0ms (12% of total)
ival-mult: 2.0ms (12% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch27.0ms (0.3%)

Memory
25.6MiB live, 64.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
5.508153727024008e+151
3.779982725026806e+155
9.0ms
8.049717867460771e-29
2.9440622784656293e-28
15.0ms
-2.7055896760295158e-33
-1.429308611478193e-35
1.0ms
-5.14102604891171e+215
-9.673924423465436e+206
Samples
17.0ms192×0valid
Compiler

Compiled 508 to 333 computations (34.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-cos: 4.0ms (31.6% of total)
ival-sin: 4.0ms (31.6% of total)
ival-add: 3.0ms (23.7% of total)
ival-mult: 1.0ms (7.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch51.0ms (0.6%)

Memory
-8.3MiB live, 115.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
54347132.51213531
4740598759428849000.0
24.0ms
-3.7009140813123526e+34
-5.971092511131844e+26
Samples
33.0ms304×0valid
Compiler

Compiled 623 to 375 computations (39.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-sin: 12.0ms (47% of total)
ival-cos: 9.0ms (35.3% of total)
ival-add: 3.0ms (11.8% of total)
ival-mult: 2.0ms (7.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9997289677125929
1553500128248544.0
0.0ms
4.933076646345991e-20
0.06799613729589885
0.0ms
-0.026249514624462223
-2.954779593132663e-10
0.0ms
-66364500425206350.0
-0.9598832878600585
Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch46.0ms (0.5%)

Memory
-24.0MiB live, 103.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
4740598759428849000.0
2.1102814275624323e+21
22.0ms
-55142191686.59675
-3311.6139291620057
Samples
33.0ms272×0valid
Compiler

Compiled 627 to 354 computations (43.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-cos: 9.0ms (38.4% of total)
ival-sin: 9.0ms (38.4% of total)
ival-add: 3.0ms (12.8% of total)
ival-mult: 2.0ms (8.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.12692408767349764
0.18200255329808704
0.0ms
-0.1533913378346343
-0.026249514624462223
Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch31.0ms (0.3%)

Memory
18.5MiB live, 57.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
3.1046095515355044e-27
7.745497014275602e-25
20.0ms
-55142191686.59675
-3311.6139291620057
Samples
20.0ms240×0valid
Compiler

Compiled 447 to 286 computations (36% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-sin: 6.0ms (41.2% of total)
ival-cos: 4.0ms (27.5% of total)
ival-add: 2.0ms (13.7% of total)
ival-mult: 2.0ms (13.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.12692408767349764
0.18200255329808704
0.0ms
-0.5121727250240546
-0.4745510517216667
Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.12692408767349764
0.18200255329808704
0.0ms
-0.16704420629069675
-0.1533913378346343
Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify11.0ms (0.1%)

Memory
-19.3MiB live, 20.2MiB allocated
Algorithm
egg-herbie
Rules
18×+-commutative_binary64
10×*-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114683
1131683
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (fma.f64 (cos.f64 y) z 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 81999999999999995884583351105240599504362513542470270795730752027022998215485946671818949629637402819272891443653952983457671029227466356384030928142336 binary64)) (+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) (sin.f64 y)) #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 (cos.f64 y) z)) (if (<=.f64 z #s(literal -7716728645107167/5846006549323611672814739330865132078623730171904 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 z #s(literal 1505300300900817/11150372599265311570767859136324180752990208 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) (if (<=.f64 z #s(literal 81999999999999995884583351105240599504362513542470270795730752027022998215485946671818949629637402819272891443653952983457671029227466356384030928142336 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))))
(if (<=.f64 y #s(literal -599999999999999994228637696 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) (if (<=.f64 y #s(literal 55000000 binary64)) (+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) #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))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y)))))
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -50000000000000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (sin.f64 y))) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 2076918743413931/41538374868278621028243970633760768 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x y) z)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 1 binary64)) #s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (sin.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))))))
(if (<=.f64 y #s(literal -4200000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 y #s(literal 4800000000000000000 binary64)) (+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))))
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -3602879701896397/36028797018963968 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 5404319552844595/36028797018963968 binary64)) (+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) #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))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))))
(if (<=.f64 y #s(literal -460000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 y #s(literal 8166776806102523/10889035741470030830827987437816582766592 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))))
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -1/2 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 5404319552844595/36028797018963968 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))))
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -5764607523034235/36028797018963968 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 5404319552844595/36028797018963968 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x y) z)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))
Outputs
(+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z 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 81999999999999995884583351105240599504362513542470270795730752027022998215485946671818949629637402819272891443653952983457671029227466356384030928142336 binary64)) (+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) (sin.f64 y)) #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 81999999999999995884583351105240599504362513542470270795730752027022998215485946671818949629637402819272891443653952983457671029227466356384030928142336 binary64)) (+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 x z)) (sin.f64 y)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.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 -7716728645107167/5846006549323611672814739330865132078623730171904 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 z #s(literal 1505300300900817/11150372599265311570767859136324180752990208 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) (if (<=.f64 z #s(literal 81999999999999995884583351105240599504362513542470270795730752027022998215485946671818949629637402819272891443653952983457671029227466356384030928142336 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) #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 -7716728645107167/5846006549323611672814739330865132078623730171904 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 z #s(literal 1505300300900817/11150372599265311570767859136324180752990208 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (if (<=.f64 z #s(literal 81999999999999995884583351105240599504362513542470270795730752027022998215485946671818949629637402819272891443653952983457671029227466356384030928142336 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))))
(if (<=.f64 y #s(literal -599999999999999994228637696 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) (if (<=.f64 y #s(literal 55000000 binary64)) (+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) #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))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y)))))
(if (<=.f64 y #s(literal -599999999999999994228637696 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal 55000000 binary64)) (+.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)) #s(approx (+ (* (cos y) z) x) (+.f64 x z))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x))))
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -50000000000000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (sin.f64 y))) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 2076918743413931/41538374868278621028243970633760768 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x y) z)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 1 binary64)) #s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (sin.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))))))
(if (<=.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) #s(literal -50000000000000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (sin.f64 y))) (if (<=.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) #s(literal 2076918743413931/41538374868278621028243970633760768 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x y) z)) (if (<=.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) #s(literal 1 binary64)) #s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (sin.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))))))
(if (<=.f64 y #s(literal -4200000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 y #s(literal 4800000000000000000 binary64)) (+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))))
(if (<=.f64 y #s(literal -4200000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 y #s(literal 4800000000000000000 binary64)) (+.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)) #s(approx (+ (* (cos y) z) x) (+.f64 x z))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))))
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -3602879701896397/36028797018963968 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 5404319552844595/36028797018963968 binary64)) (+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) #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))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))))
(if (<=.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) #s(literal -3602879701896397/36028797018963968 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) #s(literal 5404319552844595/36028797018963968 binary64)) (+.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)) #s(approx (+ (* (cos y) z) x) (+.f64 x z))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))))
(if (<=.f64 y #s(literal -460000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 y #s(literal 8166776806102523/10889035741470030830827987437816582766592 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))))
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -1/2 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 5404319552844595/36028797018963968 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))))
(if (<=.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) #s(literal -1/2 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) #s(literal 5404319552844595/36028797018963968 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))))
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -5764607523034235/36028797018963968 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 5404319552844595/36028797018963968 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x y) z)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))))
(if (<=.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) #s(literal -5764607523034235/36028797018963968 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) #s(literal 5404319552844595/36028797018963968 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x y) z)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))

soundness1.3s (14.1%)

Memory
15.5MiB live, 930.8MiB allocated
Rules
11 712×lower-fma.f64
11 712×lower-fma.f32
7 984×lower-fma.f64
7 984×lower-fma.f32
7 474×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06116406
118316311
257406156
083535712
05305808
116375657
250305251
081294784
0821
01321
14321
236221
3554821
0832020
05525822
116985653
249555497
082855089
0109647
1310643
2852633
32193631
44247631
57326631
08046578
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 749 to 305 computations (59.3% saved)

preprocess155.0ms (1.7%)

Memory
-9.8MiB live, 145.7MiB allocated
Compiler

Compiled 804 to 200 computations (75.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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