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

Time bar (total: 12.0s)

analyze0.0ms (0%)

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

Compiled 11 to 10 computations (9.1% saved)

sample1.4s (11.5%)

Memory
17.4MiB live, 1 641.3MiB allocated
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 680.0ms
ival-cos: 270.0ms (39.7% of total)
ival-sin: 247.0ms (36.3% of total)
ival-mult: 117.0ms (17.2% of total)
ival-add: 37.0ms (5.4% of total)
ival-true: 6.0ms (0.9% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

preprocess46.0ms (0.4%)

Memory
-2.4MiB live, 43.9MiB allocated
Algorithm
egg-herbie
Rules
180×associate-*r*
160×unsub-neg
142×associate-*l*
136×distribute-lft-neg-in
110×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

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

explain112.0ms (0.9%)

Memory
-18.0MiB live, 187.1MiB 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
48.0ms512×0valid
Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-cos: 11.0ms (34.7% of total)
ival-sin: 11.0ms (34.7% of total)
ival-mult: 7.0ms (22.1% of total)
ival-add: 2.0ms (6.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify5.0ms (0%)

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

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize33.0ms (0.3%)

Memory
23.6MiB live, 61.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(cos.f64 y)
accuracy100.0%
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
accuracy99.8%
(*.f64 x (sin.f64 y))
accuracy99.8%
(*.f64 z (cos.f64 y))
Samples
24.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-cos: 6.0ms (36.5% of total)
ival-sin: 6.0ms (36.5% of total)
ival-mult: 3.0ms (18.2% of total)
ival-add: 1.0ms (6.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
-23.4MiB live, 15.1MiB allocated
Counts
5 → 108
Calls
Call 1
Inputs
#<alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))>
#<alt (*.f64 x (sin.f64 y))>
#<alt (sin.f64 y)>
#<alt (*.f64 z (cos.f64 y))>
#<alt (cos.f64 y)>
Outputs
#<alt (* z (cos y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt z>
#<alt (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
Calls

27 calls:

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

simplify368.0ms (3.1%)

Memory
7.4MiB live, 474.0MiB allocated
Algorithm
egg-herbie
Rules
12 858×lower-fma.f64
12 858×lower-fma.f32
4 718×lower-*.f64
4 718×lower-*.f32
2 178×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite561.0ms (4.7%)

Memory
8.0MiB live, 805.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
11 480×lower-fma.f64
11 480×lower-fma.f32
4 168×lower-*.f32
4 164×lower-*.f64
4 070×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
01321
12921
218521
3183621
0839120
Stop Event
iter limit
node limit
iter limit
Counts
5 → 177
Calls
Call 1
Inputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(*.f64 x (sin.f64 y))
(sin.f64 y)
(*.f64 z (cos.f64 y))
(cos.f64 y)
Outputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(+.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) #s(literal -1 binary64)))
(-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) (neg.f64 z)))
(-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(-.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) (/.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))) (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) (neg.f64 x) (*.f64 z (cos.f64 y)))) (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (*.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (*.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64))))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (pow.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))))) (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 x (/.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 (sin.f64 y) (/.f64 (*.f64 x (*.f64 x (sin.f64 y))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(fma.f64 (*.f64 x (sin.f64 y)) (/.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
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(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 9 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) (*.f64 (*.f64 x z) (cos.f64 y))) #s(literal 3 binary64))))))
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(exp.f64 (log.f64 (*.f64 x (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sin.f64 y))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64))
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (sin.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (sin.f64 y))))
(sin.f64 y)
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) (neg.f64 z)))
(neg.f64 (*.f64 (cos.f64 y) (neg.f64 z)))
(pow.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 y) (neg.f64 z)))
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 z)))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (cos.f64 y))))
(cos.f64 y)

eval33.0ms (0.3%)

Memory
9.6MiB live, 86.9MiB allocated
Compiler

Compiled 10 212 to 557 computations (94.5% saved)

prune92.0ms (0.8%)

Memory
-11.1MiB live, 108.8MiB allocated
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New26616282
Fresh000
Picked101
Done000
Total26716283
Accuracy
99.9%
Counts
283 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.7%
(fma.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
99.8%
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
99.8%
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
29.1%
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (*.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (pow.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)))
44.8%
(/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
55.5%
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
53.9%
(+.f64 #s(approx (* x (sin y)) (*.f64 y (fma.f64 (*.f64 y x) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))) (*.f64 z (cos.f64 y)))
15.4%
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)))))
44.7%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
29.1%
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 2 binary64))))
51.7%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
51.5%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z))
52.9%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
63.4%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
38.6%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))
Compiler

Compiled 920 to 454 computations (50.7% saved)

simplify751.0ms (6.2%)

Memory
-9.0MiB live, 523.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff128
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
cost-diff128
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
cost-diff14080
(-.f64 (*.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (*.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
cost-diff20416
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (*.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (pow.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)))
cost-diff0
(cos.f64 y)
cost-diff0
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
cost-diff0
(cos.f64 y)
cost-diff0
(*.f64 z (cos.f64 y))
cost-diff0
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
cost-diff0
(fma.f64 y x z)
cost-diff0
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 x (sin.f64 y))
cost-diff0
(cos.f64 y)
cost-diff0
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
Rules
10 222×lower-fma.f32
10 216×lower-fma.f64
4 942×lower-*.f32
4 924×lower-*.f64
2 056×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037346
063340
1114320
2313310
31468308
45247308
08415296
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(cos.f64 y)
y
z
(*.f64 x (sin.f64 y))
x
(sin.f64 y)
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
(fma.f64 y x z)
y
x
z
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
z
(cos.f64 y)
y
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
z
(cos.f64 y)
y
(*.f64 x (sin.f64 y))
x
(sin.f64 y)
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (*.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (pow.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)))
(-.f64 (*.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (*.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(*.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
(*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
(*.f64 z z)
z
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))
(cos.f64 (+.f64 y y))
(+.f64 y y)
y
(-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(*.f64 z (cos.f64 y))
(cos.f64 y)
(*.f64 x (sin.f64 y))
x
(sin.f64 y)
(*.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
(*.f64 x x)
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(pow.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(cos.f64 y)
y
z
(*.f64 x (sin.f64 y))
x
(sin.f64 y)
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
(fma.f64 y x z)
y
x
z
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
z
(cos.f64 y)
y
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
z
(cos.f64 y)
y
(*.f64 x (sin.f64 y))
x
(sin.f64 y)
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (*.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (pow.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)))
(/.f64 (fma.f64 z (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64))))) (fma.f64 (sin.f64 y) (neg.f64 x) (*.f64 (cos.f64 y) z)))
(-.f64 (*.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (*.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(*.f64 (fma.f64 (sin.f64 y) (neg.f64 x) (*.f64 (cos.f64 y) z)) (fma.f64 z (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64))))))
(*.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (fma.f64 (sin.f64 y) (neg.f64 x) (*.f64 (cos.f64 y) z))))
(*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
(*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
(*.f64 z z)
z
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))
(cos.f64 (+.f64 y y))
(+.f64 y y)
y
(-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 x) (*.f64 (cos.f64 y) z))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(cos.f64 y)
(*.f64 x (sin.f64 y))
x
(sin.f64 y)
(*.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (sin.f64 y) (neg.f64 x) (*.f64 (cos.f64 y) z)) (*.f64 x x)))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
(*.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 x x)
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(pow.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) #s(literal 2 binary64))
(pow.f64 (fma.f64 (sin.f64 y) (neg.f64 x) (*.f64 (cos.f64 y) z)) #s(literal 2 binary64))
#s(literal 2 binary64)

localize255.0ms (2.1%)

Memory
36.0MiB live, 385.0MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy91.4%
(-.f64 (*.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (*.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
accuracy91.1%
(*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
accuracy77.3%
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
accuracy35.5%
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (*.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (pow.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)))
accuracy99.9%
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
accuracy99.8%
(*.f64 x (sin.f64 y))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
accuracy100.0%
(cos.f64 y)
accuracy99.8%
(*.f64 z (cos.f64 y))
accuracy63.5%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
accuracy100.0%
(fma.f64 y x z)
accuracy52.9%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
accuracy100.0%
(sin.f64 y)
accuracy100.0%
(cos.f64 y)
accuracy99.9%
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
accuracy99.8%
(*.f64 x (sin.f64 y))
Samples
79.0ms48×2valid
56.0ms78×1valid
45.0ms130×0valid
Compiler

Compiled 343 to 35 computations (89.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 150.0ms
ival-sin: 47.0ms (31.4% of total)
ival-cos: 34.0ms (22.7% of total)
ival-mult: 30.0ms (20% of total)
adjust: 13.0ms (8.7% of total)
ival-add: 9.0ms (6% of total)
ival-div: 7.0ms (4.7% of total)
ival-sub: 5.0ms (3.3% of total)
ival-pow2: 4.0ms (2.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series58.0ms (0.5%)

Memory
-31.4MiB live, 94.0MiB allocated
Counts
16 → 444
Calls
Call 1
Inputs
#<alt (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))>
#<alt (cos.f64 y)>
#<alt (*.f64 x (sin.f64 y))>
#<alt (sin.f64 y)>
#<alt #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))>
#<alt (fma.f64 y x z)>
#<alt #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))>
#<alt (*.f64 z (cos.f64 y))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))>
#<alt (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))>
#<alt (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (*.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (pow.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)))>
#<alt (-.f64 (*.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (*.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))>
#<alt (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))>
#<alt (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))>
Outputs
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
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#<alt (* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow x 3) (- (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) x)) (* -1 (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))))))>
#<alt (* (pow x 3) (- (* -1 (/ (* (pow z 2) (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow x 2))) (+ (* -1 (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) x))))>
#<alt (* (pow x 3) (- (+ (* -1 (/ (* (pow z 2) (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow x 2))) (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow x 3))) (+ (* -1 (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) x))))>
#<alt (* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* -1 (* (pow x 3) (- (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) x) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (* (pow z 2) (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) x)) (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))))) x)) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) x)) (* (pow z 2) (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))) x)) (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))))) x)) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* -1/3 (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2)))>
#<alt (* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2)))>
#<alt (* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* (pow y 2) (+ (* -1/315 (* (pow x 2) (pow y 2))) (* 2/45 (pow x 2)))))) (pow x 2)))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))>
Calls

111 calls:

TimeVariablePointExpression
15.0ms
y
@inf
(/ (- (* (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* z (cos y)) (* x (sin y)))) (* (- (* z (cos y)) (* x (sin y))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))))) (pow (- (* z (cos y)) (* x (sin y))) 2))
4.0ms
z
@inf
(+ (* y x) z)
4.0ms
y
@-inf
(/ (- (* (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* z (cos y)) (* x (sin y)))) (* (- (* z (cos y)) (* x (sin y))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))))) (pow (- (* z (cos y)) (* x (sin y))) 2))
2.0ms
z
@inf
(/ (- (* (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* z (cos y)) (* x (sin y)))) (* (- (* z (cos y)) (* x (sin y))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))))) (pow (- (* z (cos y)) (* x (sin y))) 2))
2.0ms
x
@inf
(/ (- (* (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* z (cos y)) (* x (sin y)))) (* (- (* z (cos y)) (* x (sin y))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))))) (pow (- (* z (cos y)) (* x (sin y))) 2))

simplify451.0ms (3.7%)

Memory
58.8MiB live, 751.9MiB allocated
Algorithm
egg-herbie
Rules
9 980×lower-fma.f64
9 980×lower-fma.f32
7 616×lower-*.f64
7 616×lower-*.f32
4 192×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08338553
129267980
088007557
Stop Event
iter limit
node limit
Counts
444 → 432
Calls
Call 1
Inputs
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* x y)
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
z
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* z (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))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(/ 1 (* x (sin y)))
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y))))
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))
(/ 1 (* z (cos y)))
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z)
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z)
(/ 1 (* z (cos y)))
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(/ 1 z)
(+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))
(+ (* y (- (* y (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ x (pow z 2))) (+ (* 1/2 (/ x (pow z 2))) (/ (* x (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) z))))) (* 1/2 (/ 1 z))) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (* z (cos y)))
(+ (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y))))
(+ (* x (- (/ (* x (pow (sin y) 2)) (* (pow z 3) (pow (cos y) 3))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))
(+ (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow z 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))
(/ 1 (* x (sin y)))
(/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x)
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2)))) x)
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2))))) x)
(/ 1 (* x (sin y)))
(* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
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(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
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(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
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z
(+ z (* y (- (* -1 x) (* -2 x))))
(+ z (* y (- (+ (* -1 x) (* y (- (* -1/2 z) (+ (* -2 (/ (* x (- (* -1 x) (* -2 x))) z)) (* 2 (/ (pow x 2) z)))))) (* -2 x))))
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(/ (- (* (pow z 2) (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (* (- 1/2 (* 1/2 (cos (* 2 y)))) (- (* z (cos y)) (* x (sin y)))))) (pow (- (* z (cos y)) (* x (sin y))) 2))
(/ (- (* (pow z 2) (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (* (- 1/2 (* 1/2 (cos (* 2 y)))) (- (* z (cos y)) (* x (sin y)))))) (pow (- (* z (cos y)) (* x (sin y))) 2))
(/ (- (* (pow z 2) (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (* (- 1/2 (* 1/2 (cos (* 2 y)))) (- (* z (cos y)) (* x (sin y)))))) (pow (- (* z (cos y)) (* x (sin y))) 2))
(/ (- (* (pow z 2) (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (* (- 1/2 (* 1/2 (cos (* 2 y)))) (- (* z (cos y)) (* x (sin y)))))) (pow (- (* z (cos y)) (* x (sin y))) 2))
(/ (- (* (pow z 2) (* (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (* (- 1/2 (* 1/2 (cos (neg (* -2 y))))) (- (* z (cos y)) (* x (sin y)))))) (pow (- (* z (cos y)) (* x (sin y))) 2))
(/ (- (* (pow z 2) (* (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (* (- 1/2 (* 1/2 (cos (neg (* -2 y))))) (- (* z (cos y)) (* x (sin y)))))) (pow (- (* z (cos y)) (* x (sin y))) 2))
(/ (- (* (pow z 2) (* (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (* (- 1/2 (* 1/2 (cos (neg (* -2 y))))) (- (* z (cos y)) (* x (sin y)))))) (pow (- (* z (cos y)) (* x (sin y))) 2))
(/ (- (* (pow z 2) (* (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (* (- 1/2 (* 1/2 (cos (neg (* -2 y))))) (- (* z (cos y)) (* x (sin y)))))) (pow (- (* z (cos y)) (* x (sin y))) 2))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
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(/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
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(/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
(* -1 (* x (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (* -2 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) x)))))
(* -1 (* x (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (+ (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (* -1 (/ (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (+ (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) (* 2 (/ (* z (* (cos y) (- (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (* -2 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))))) (sin y))))) x))) (* -2 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) x)))))
(* -1 (* x (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (+ (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (* -1 (/ (- (+ (* -1 (/ (- (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)) (+ (* 2 (/ (* z (* (cos y) (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (+ (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) (* 2 (/ (* z (* (cos y) (- (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (* -2 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))))) (sin y))))))) (sin y))) (/ (* (pow z 2) (* (pow (cos y) 2) (- (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (* -2 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))))) (pow (sin y) 2)))) x)) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (+ (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) (* 2 (/ (* z (* (cos y) (- (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (* -2 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))))) (sin y))))) x))) (* -2 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) x)))))
(* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))))
(- (* -1 (* (pow x 2) (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))))) (* -1 (* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))))))
(- (* z (- (* -1 (* x (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))))) (* (pow x 2) (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))))) (* -1 (* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))))))
(- (* z (- (* z (+ (* -1 (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))))) (* (pow x 2) (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))))) (* -1 (* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))))))
(* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow z 3) (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) z)) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(* (pow z 3) (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) z)) (+ (* -1 (/ (* (pow x 2) (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow z 2))) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))))))
(* (pow z 3) (- (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) z)) (+ (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow z 3)))) (/ (* (pow x 2) (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow z 2))))
(* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow z 3) (+ (* -1 (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) z))))
(* -1 (* (pow z 3) (+ (* -1 (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* -1 (/ (+ (* -1 (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (* (pow x 2) (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) z))) z)))))
(* -1 (* (pow z 3) (+ (* -1 (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* -1 (/ (+ (* -1 (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (- (* -1 (/ (* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) z)) (* -1 (* (pow x 2) (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))))) z))) z)))))
(pow z 3)
(+ (* -1 (* x (* y (pow z 2)))) (pow z 3))
(+ (* y (+ (* -1 (* x (pow z 2))) (* y (- (* (pow z 2) (+ (* -1 z) (* -1/2 z))) (* (pow x 2) z))))) (pow z 3))
(+ (* y (+ (* -1 (* x (pow z 2))) (* y (- (+ (* y (- (* (pow z 2) (+ x (* 1/6 x))) (* -1 (pow x 3)))) (* (pow z 2) (+ (* -1 z) (* -1/2 z)))) (* (pow x 2) z))))) (pow z 3))
(- (* (pow z 2) (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (* (- 1/2 (* 1/2 (cos (* 2 y)))) (- (* z (cos y)) (* x (sin y))))))
(- (* (pow z 2) (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (* (- 1/2 (* 1/2 (cos (* 2 y)))) (- (* z (cos y)) (* x (sin y))))))
(- (* (pow z 2) (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (* (- 1/2 (* 1/2 (cos (* 2 y)))) (- (* z (cos y)) (* x (sin y))))))
(- (* (pow z 2) (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (* (- 1/2 (* 1/2 (cos (* 2 y)))) (- (* z (cos y)) (* x (sin y))))))
(- (* (pow z 2) (* (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (* (- 1/2 (* 1/2 (cos (neg (* -2 y))))) (- (* z (cos y)) (* x (sin y))))))
(- (* (pow z 2) (* (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (* (- 1/2 (* 1/2 (cos (neg (* -2 y))))) (- (* z (cos y)) (* x (sin y))))))
(- (* (pow z 2) (* (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (* (- 1/2 (* 1/2 (cos (neg (* -2 y))))) (- (* z (cos y)) (* x (sin y))))))
(- (* (pow z 2) (* (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (* (- 1/2 (* 1/2 (cos (neg (* -2 y))))) (- (* z (cos y)) (* x (sin y))))))
(* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* x (* (pow z 2) (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))))) (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(+ (* x (+ (* -1 (* x (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))))) (* -1 (* (pow z 2) (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))))) (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(+ (* x (+ (* -1 (* (pow z 2) (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* x (- (* x (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))))))) (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow x 3) (- (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) x)) (* -1 (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))))))
(* (pow x 3) (- (* -1 (/ (* (pow z 2) (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow x 2))) (+ (* -1 (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) x))))
(* (pow x 3) (- (+ (* -1 (/ (* (pow z 2) (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow x 2))) (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow x 3))) (+ (* -1 (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) x))))
(* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow x 3) (- (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) x) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (* (pow z 2) (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) x)) (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))))) x)) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) x)) (* (pow z 2) (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))) x)) (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))))) x)) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))))))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(pow y 2)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (pow y 2))
(* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* (pow y 2) (+ (* -1/315 (* (pow x 2) (pow y 2))) (* 2/45 (pow x 2)))))) (pow x 2)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
Outputs
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(neg.f64 (*.f64 (neg.f64 z) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(neg.f64 (*.f64 (neg.f64 z) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(neg.f64 (*.f64 (neg.f64 z) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
(* z (cos y))
(*.f64 z (cos.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x y)
(*.f64 x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal 1/120 binary64))) x))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -1/5040 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(* z (cos y))
(*.f64 z (cos.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(neg.f64 (*.f64 (neg.f64 z) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(neg.f64 (*.f64 (neg.f64 z) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(neg.f64 (*.f64 (neg.f64 z) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(* x y)
(*.f64 x y)
(* y (+ x (/ z y)))
(*.f64 y (+.f64 x (/.f64 z y)))
(* y (+ x (/ z y)))
(*.f64 y (+.f64 x (/.f64 z y)))
(* y (+ x (/ z y)))
(*.f64 y (+.f64 x (/.f64 z y)))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(neg.f64 (*.f64 (neg.f64 y) (+.f64 x (/.f64 z y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(neg.f64 (*.f64 (neg.f64 y) (+.f64 x (/.f64 z y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(neg.f64 (*.f64 (neg.f64 y) (+.f64 x (/.f64 z y))))
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(* x y)
(*.f64 x y)
(* x (+ y (/ z x)))
(*.f64 x (+.f64 y (/.f64 z x)))
(* x (+ y (/ z x)))
(*.f64 x (+.f64 y (/.f64 z x)))
(* x (+ y (/ z x)))
(*.f64 x (+.f64 y (/.f64 z x)))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 y) (/.f64 z x)))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 y) (/.f64 z x)))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 y) (/.f64 z x)))
(* x y)
(*.f64 x y)
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
z
(* z (+ 1 (/ (* x y) z)))
(fma.f64 (*.f64 z x) (/.f64 y z) z)
(* z (+ 1 (/ (* x y) z)))
(fma.f64 (*.f64 z x) (/.f64 y z) z)
(* z (+ 1 (/ (* x y) z)))
(fma.f64 (*.f64 z x) (/.f64 y z) z)
z
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(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
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z
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(fma.f64 x y z)
(+ z (* y (- (+ (* -1 x) (* y (- (* -1/2 z) (+ (* -2 (/ (* x (- (* -1 x) (* -2 x))) z)) (* 2 (/ (pow x 2) z)))))) (* -2 x))))
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(/ (- (* (pow z 2) (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (* (- 1/2 (* 1/2 (cos (* 2 y)))) (- (* z (cos y)) (* x (sin y)))))) (pow (- (* z (cos y)) (* x (sin y))) 2))
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(/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
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(fma.f64 x (*.f64 (*.f64 (*.f64 z z) (sin.f64 y)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (*.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 z z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(+ (* x (+ (* -1 (* x (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))))) (* -1 (* (pow z 2) (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))))) (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(fma.f64 (neg.f64 x) (fma.f64 (*.f64 x (*.f64 z (cos.f64 y))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (*.f64 (*.f64 (*.f64 z z) (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 z z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(+ (* x (+ (* -1 (* (pow z 2) (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* x (- (* x (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))))))) (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(fma.f64 x (fma.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (*.f64 (*.f64 (*.f64 z z) (sin.f64 y)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))) (*.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 z z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))))
(*.f64 (*.f64 (sin.f64 y) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
(* (pow x 3) (- (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) x)) (* -1 (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))))))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (neg.f64 z) (/.f64 (*.f64 (cos.f64 y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) x) (*.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))))
(* (pow x 3) (- (* -1 (/ (* (pow z 2) (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow x 2))) (+ (* -1 (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) x))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 z z) (sin.f64 y)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (*.f64 x x)) (fma.f64 (neg.f64 z) (/.f64 (*.f64 (cos.f64 y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) x) (*.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))))))
(* (pow x 3) (- (+ (* -1 (/ (* (pow z 2) (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow x 2))) (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow x 3))) (+ (* -1 (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) x))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 (*.f64 (cos.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (*.f64 (*.f64 z z) (sin.f64 y)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (*.f64 x x))) (fma.f64 (neg.f64 z) (/.f64 (*.f64 (cos.f64 y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) x) (*.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))))))
(* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))))
(*.f64 (*.f64 (sin.f64 y) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
(* -1 (* (pow x 3) (- (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) x) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))))))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (neg.f64 z) (/.f64 (*.f64 (cos.f64 y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) x) (*.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (* (pow z 2) (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) x)) (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))))) x)) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))))))
(neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 z z) (sin.f64 y)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) x) (*.f64 (*.f64 z (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))) (neg.f64 x)) (*.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) x)) (* (pow z 2) (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))) x)) (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))))) x)) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))))))
(*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 z z) (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (cos.f64 y) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))) x)) (neg.f64 x)) (*.f64 (*.f64 z (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))) (neg.f64 x)) (*.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow y 2)))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -2/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/315 binary64) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(- 1/2 (* 1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 x (*.f64 y y)) x)
(* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2)))
(*.f64 (*.f64 y y) (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x (*.f64 y y)) x) (*.f64 x x)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2)))
(*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 (*.f64 x (*.f64 y y)) x))) (*.f64 x x)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* (pow y 2) (+ (* -1/315 (* (pow x 2) (pow y 2))) (* 2/45 (pow x 2)))))) (pow x 2)))
(*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal 2/45 binary64) (*.f64 #s(literal -1/315 binary64) (*.f64 (*.f64 x (*.f64 y y)) x))) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 x x)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))

rewrite557.0ms (4.6%)

Memory
5.9MiB live, 1 046.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 854×lower-fma.f32
4 848×lower-fma.f64
4 454×lower-*.f32
4 436×lower-*.f64
4 224×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037212
063157
1233121
21684121
08574121
Stop Event
iter limit
node limit
iter limit
Counts
16 → 1 101
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(cos.f64 y)
(*.f64 x (sin.f64 y))
(sin.f64 y)
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
(fma.f64 y x z)
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (*.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (pow.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)))
(-.f64 (*.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (*.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
Outputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y)))
(+.f64 (/.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)) (*.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
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(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 (sin.f64 y) (sin.f64 y))
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(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64))
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(*.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)))))))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sin.f64 y))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (*.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (*.f64 x x))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (*.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (*.f64 x x))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (*.f64 x x))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) (*.f64 x x)) (*.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) (*.f64 x x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) (*.f64 x x))))))
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))
(pow.f64 (*.f64 (sin.f64 y) (neg.f64 x)) #s(literal 2 binary64))
(*.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 x (*.f64 (sin.f64 y) (*.f64 x (sin.f64 y))))
(*.f64 (sin.f64 y) (*.f64 x (*.f64 x (sin.f64 y))))
(*.f64 (*.f64 x (sin.f64 y)) (*.f64 x (sin.f64 y)))
(*.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x))
(*.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (*.f64 (sin.f64 y) (neg.f64 x)))
(*.f64 (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) x)
(*.f64 (*.f64 (*.f64 x (sin.f64 y)) x) (sin.f64 y))
(*.f64 (*.f64 (*.f64 x (sin.f64 y)) (sin.f64 y)) x)
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)))))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))

eval330.0ms (2.7%)

Memory
19.5MiB live, 596.1MiB allocated
Compiler

Compiled 98 044 to 3 143 computations (96.8% saved)

prune272.0ms (2.3%)

Memory
-41.4MiB live, 443.4MiB allocated
Pruning

39 alts after pruning (36 fresh and 3 done)

PrunedKeptTotal
New1 790351 825
Fresh10111
Picked235
Done000
Total1 802391 841
Accuracy
100.0%
Counts
1 841 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
99.8%
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
51.9%
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
20.9%
(/.f64 #s(approx (- (* (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* z (cos y)) (* x (sin y)))) (* (- (* z (cos y)) (* x (sin y))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))))) (*.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 z z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (pow.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)))
51.9%
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
51.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))))
52.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (fma.f64 x y z))))
63.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 z (cos.f64 y)))))
38.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 x (sin.f64 y)))))
35.6%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (/.f64 (fma.f64 (neg.f64 z) (/.f64 (cos.f64 y) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x)))
63.0%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (/.f64 (fma.f64 x (/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z))))
42.0%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (/.f64 #s(literal 1 binary64) z)))
35.9%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) (*.f64 z z)))))
53.9%
(+.f64 #s(approx (* x (sin y)) (*.f64 y (fma.f64 (*.f64 y x) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))) (*.f64 z (cos.f64 y)))
45.5%
(*.f64 (-.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y)))))
98.9%
#s(approx (/ (- (* (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* z (cos y)) (* x (sin y)))) (* (- (* z (cos y)) (* x (sin y))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))))) (pow (- (* z (cos y)) (* x (sin y))) 2)) (fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 x (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
62.9%
#s(approx (/ (- (* (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* z (cos y)) (* x (sin y)))) (* (- (* z (cos y)) (* x (sin y))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))))) (pow (- (* z (cos y)) (* x (sin y))) 2)) (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
89.2%
#s(approx (/ (- (* (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* z (cos y)) (* x (sin y)))) (* (- (* z (cos y)) (* x (sin y))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))))) (pow (- (* z (cos y)) (* x (sin y))) 2)) (*.f64 z (+.f64 (/.f64 (*.f64 (*.f64 x (sin.f64 y)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (/.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))))
27.8%
#s(approx (/ (- (* (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* z (cos y)) (* x (sin y)))) (* (- (* z (cos y)) (* x (sin y))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))))) (pow (- (* z (cos y)) (* x (sin y))) 2)) (*.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y))))
51.5%
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z))
51.7%
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))
90.6%
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
83.2%
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
38.6%
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 x (sin.f64 y)))
52.9%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
17.0%
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (fma.f64 z (-.f64 z (*.f64 y x)) (*.f64 y (*.f64 x (*.f64 y x))))))
27.3%
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 z (*.f64 y x))))
28.7%
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 y x) z)))
28.6%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
63.4%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
40.3%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
42.1%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
46.0%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)))
51.4%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z))))
39.7%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y)))))
44.0%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x (+.f64 y (/.f64 z x)))))
14.2%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
40.5%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z)))
40.4%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y y)) z)))
Compiler

Compiled 1 387 to 772 computations (44.3% saved)

simplify323.0ms (2.7%)

Memory
49.0MiB live, 556.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (sin.f64 y) z)
cost-diff0
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
cost-diff0
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
cost-diff704
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
cost-diff0
(fma.f64 y x z)
cost-diff0
(*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))
cost-diff0
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
cost-diff2368
(*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))
cost-diff0
(fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))
cost-diff0
#s(approx (+ (* y x) z) (*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z)))
cost-diff0
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z))))
cost-diff1280
(*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z))
cost-diff0
(*.f64 x y)
cost-diff0
#s(approx (+ (* y x) z) (*.f64 x y))
cost-diff0
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
cost-diff0
(cos.f64 y)
cost-diff0
(*.f64 (cos.f64 y) z)
cost-diff0
(sin.f64 y)
cost-diff0
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
Rules
12 086×lower-fma.f32
12 078×lower-fma.f64
3 500×lower-*.f32
3 486×lower-*.f64
1 990×lower-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
040250
063220
1106208
2200206
3520202
42280192
55418192
08269192
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(sin.f64 y)
y
x
(*.f64 (cos.f64 y) z)
(cos.f64 y)
z
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* y x) z) (*.f64 x y))
(*.f64 x y)
x
y
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z))))
#s(approx (+ (* y x) z) (*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z)))
(*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z))
(fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))
(neg.f64 x)
x
(/.f64 y z)
y
z
#s(literal -1 binary64)
(neg.f64 z)
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
(*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))
(*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))
(fma.f64 y x z)
y
x
z
(-.f64 (*.f64 y x) z)
(*.f64 y x)
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))
#s(literal 1 binary64)
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
z
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
x
(/.f64 (sin.f64 y) z)
(sin.f64 y)
y
(cos.f64 y)
Outputs
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(sin.f64 y)
y
x
(*.f64 (cos.f64 y) z)
(cos.f64 y)
z
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
#s(approx (+ (* y x) z) (*.f64 x y))
#s(approx (+ (* y x) z) (*.f64 y x))
(*.f64 x y)
(*.f64 y x)
x
y
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 y x z)))
#s(approx (+ (* y x) z) (*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z)))
#s(approx (+ (* y x) z) (fma.f64 y x z))
(*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z))
(fma.f64 y x z)
(fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))
(fma.f64 y (/.f64 x (neg.f64 z)) #s(literal -1 binary64))
(neg.f64 x)
x
(/.f64 y z)
y
z
#s(literal -1 binary64)
(neg.f64 z)
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
(*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))
(fma.f64 y x z)
(*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))
(*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z)))
(fma.f64 y x z)
y
x
z
(-.f64 (*.f64 y x) z)
(fma.f64 y x (neg.f64 z))
(*.f64 y x)
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))
(/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z)))
#s(literal 1 binary64)
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
z
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y))
x
(/.f64 (sin.f64 y) z)
(sin.f64 y)
y
(cos.f64 y)

localize139.0ms (1.2%)

Memory
9.8MiB live, 197.1MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(cos.f64 y)
accuracy99.9%
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
accuracy99.8%
(/.f64 (sin.f64 y) z)
accuracy90.6%
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
accuracy99.9%
(*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))
accuracy52.9%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
accuracy46.5%
(*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))
accuracy100.0%
#s(approx (+ (* y x) z) (*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z)))
accuracy96.9%
(fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))
accuracy92.2%
(*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z))
accuracy52.9%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z))))
accuracy100.0%
(*.f64 x y)
accuracy52.9%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
accuracy48.1%
#s(approx (+ (* y x) z) (*.f64 x y))
accuracy100.0%
(sin.f64 y)
accuracy100.0%
(cos.f64 y)
accuracy99.9%
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
accuracy99.8%
(*.f64 (cos.f64 y) z)
Samples
100.0ms256×0valid
Compiler

Compiled 192 to 35 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 82.0ms
ival-mult: 32.0ms (39.1% of total)
ival-neg: 19.0ms (23.2% of total)
ival-div: 8.0ms (9.8% of total)
ival-sin: 8.0ms (9.8% of total)
ival-cos: 7.0ms (8.6% of total)
ival-add: 6.0ms (7.3% of total)
ival-sub: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series44.0ms (0.4%)

Memory
-6.7MiB live, 68.9MiB allocated
Counts
20 → 636
Calls
Call 1
Inputs
#<alt (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))>
#<alt (sin.f64 y)>
#<alt (*.f64 (cos.f64 y) z)>
#<alt (cos.f64 y)>
#<alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))>
#<alt #s(approx (+ (* y x) z) (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z))>
#<alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z))))>
#<alt #s(approx (+ (* y x) z) (*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z)))>
#<alt (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))>
#<alt (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))>
#<alt #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))>
#<alt (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))>
#<alt (fma.f64 y x z)>
#<alt (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))>
#<alt #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))>
#<alt (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))>
#<alt (/.f64 (sin.f64 y) z)>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))>
Outputs
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
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#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* z (cos y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* x (sin y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (cos y)>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (/ (* x (sin y)) z)>
#<alt (* x (+ (/ (cos y) x) (/ (sin y) z)))>
#<alt (* x (+ (/ (cos y) x) (/ (sin y) z)))>
#<alt (* x (+ (/ (cos y) x) (/ (sin y) z)))>
#<alt (/ (* x (sin y)) z)>
#<alt (* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))>
#<alt (* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))>
#<alt (* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))>
#<alt 1>
#<alt (+ 1 (/ (* x y) z))>
#<alt (+ 1 (* y (+ (* -1/2 y) (/ x z))))>
#<alt (+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z))))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (+ (* x (sin y)) (* z (cos y))) z)>
#<alt (/ (+ (* x (sin y)) (* z (cos y))) z)>
#<alt (/ (+ (* x (sin y)) (* z (cos y))) z)>
#<alt (cos y)>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (cos y)>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (/ y z)>
#<alt (* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))>
#<alt (* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)))>
#<alt (* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)))>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ -1 z)>
#<alt (- (* -1 (/ (* x y) (pow z 2))) (/ 1 z))>
#<alt (- (* y (- (* -1 (/ (* (pow x 2) y) (pow z 3))) (/ x (pow z 2)))) (/ 1 z))>
#<alt (- (* y (- (* y (- (* -1 (/ (* (pow x 3) y) (pow z 4))) (/ (pow x 2) (pow z 3)))) (/ x (pow z 2)))) (/ 1 z))>
#<alt (/ 1 (* x y))>
#<alt (/ (+ (/ 1 x) (/ z (* (pow x 2) y))) y)>
#<alt (/ (- (+ (/ 1 x) (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* -1 (/ z (* (pow x 2) y)))) y)>
#<alt (/ (- (+ (/ 1 x) (/ (pow z 3) (* (pow x 4) (pow y 3)))) (+ (* -1 (/ z (* (pow x 2) y))) (* -1 (/ (pow z 2) (* (pow x 3) (pow y 2)))))) y)>
#<alt (/ 1 (* x y))>
#<alt (* -1 (/ (- (* -1 (/ z (* (pow x 2) y))) (/ 1 x)) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow z 2) (* (pow x 3) y)) (* -1 (/ z (pow x 2)))) y)) (/ 1 x)) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) (* (pow x 4) y))) (/ (pow z 2) (pow x 3))) y)) (* -1 (/ z (pow x 2)))) y)) (/ 1 x)) y))>
#<alt (/ -1 z)>
#<alt (- (* -1 (/ (* x y) (pow z 2))) (/ 1 z))>
#<alt (- (* x (- (* -1 (/ (* x (pow y 2)) (pow z 3))) (/ y (pow z 2)))) (/ 1 z))>
#<alt (- (* x (- (* x (- (* -1 (/ (* x (pow y 3)) (pow z 4))) (/ (pow y 2) (pow z 3)))) (/ y (pow z 2)))) (/ 1 z))>
#<alt (/ 1 (* x y))>
#<alt (/ (+ (/ 1 y) (/ z (* x (pow y 2)))) x)>
#<alt (/ (- (+ (/ 1 y) (/ (pow z 2) (* (pow x 2) (pow y 3)))) (* -1 (/ z (* x (pow y 2))))) x)>
#<alt (/ (- (+ (/ 1 y) (/ (pow z 3) (* (pow x 3) (pow y 4)))) (+ (* -1 (/ z (* x (pow y 2)))) (* -1 (/ (pow z 2) (* (pow x 2) (pow y 3)))))) x)>
#<alt (/ 1 (* x y))>
#<alt (* -1 (/ (- (* -1 (/ z (* x (pow y 2)))) (/ 1 y)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow z 2) (* x (pow y 3))) (* -1 (/ z (pow y 2)))) x)) (/ 1 y)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) (* x (pow y 4)))) (/ (pow z 2) (pow y 3))) x)) (* -1 (/ z (pow y 2)))) x)) (/ 1 y)) x))>
#<alt (/ 1 (* x y))>
#<alt (+ (/ 1 (* x y)) (/ z (* (pow x 2) (pow y 2))))>
#<alt (+ (* z (+ (/ 1 (* (pow x 2) (pow y 2))) (/ z (* (pow x 3) (pow y 3))))) (/ 1 (* x y)))>
#<alt (+ (* z (+ (* z (+ (/ 1 (* (pow x 3) (pow y 3))) (/ z (* (pow x 4) (pow y 4))))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y)))>
#<alt (/ -1 z)>
#<alt (/ (- (* -1 (/ (* x y) z)) 1) z)>
#<alt (/ (- (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ 1 (/ (* x y) z))) z)>
#<alt (/ (- (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (+ 1 (+ (/ (* x y) z) (/ (* (pow x 2) (pow y 2)) (pow z 2))))) z)>
#<alt (/ -1 z)>
#<alt (* -1 (/ (+ 1 (/ (* x y) z)) z))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow y 2)) z)) (* x y)) z))) z))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow y 3)) z) (* -1 (* (pow x 2) (pow y 2)))) z)) (* x y)) z))) z))>
Calls

159 calls:

TimeVariablePointExpression
6.0ms
z
@inf
(* (+ (* (neg x) (/ y z)) -1) (neg z))
3.0ms
y
@-inf
(* x y)
2.0ms
x
@inf
(/ 1 (- (* y x) z))
1.0ms
y
@inf
(* z (+ (* x (/ (sin y) z)) (cos y)))
1.0ms
x
@inf
(* (+ (* (neg x) (/ y z)) -1) (neg z))

simplify683.0ms (5.7%)

Memory
-34.7MiB live, 725.6MiB allocated
Algorithm
egg-herbie
Rules
11 462×lower-fma.f64
11 462×lower-fma.f32
5 230×lower-*.f64
5 230×lower-*.f32
3 172×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04335194
113925008
243424900
082214554
Stop Event
iter limit
node limit
Counts
636 → 608
Calls
Call 1
Inputs
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
z
(+ 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))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* x y)
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
z
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* x y)
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
z
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* x y)
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
z
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
-1
(- (* -1 (/ (* x y) z)) 1)
(- (* -1 (/ (* x y) z)) 1)
(- (* -1 (/ (* x y) z)) 1)
(* -1 (/ (* x y) z))
(* x (- (* -1 (/ y z)) (/ 1 x)))
(* x (- (* -1 (/ y z)) (/ 1 x)))
(* x (- (* -1 (/ y z)) (/ 1 x)))
(* -1 (/ (* x y) z))
(* -1 (* x (+ (/ 1 x) (/ y z))))
(* -1 (* x (+ (/ 1 x) (/ y z))))
(* -1 (* x (+ (/ 1 x) (/ y z))))
-1
(- (* -1 (/ (* x y) z)) 1)
(- (* -1 (/ (* x y) z)) 1)
(- (* -1 (/ (* x y) z)) 1)
(* -1 (/ (* x y) z))
(* y (- (* -1 (/ x z)) (/ 1 y)))
(* y (- (* -1 (/ x z)) (/ 1 y)))
(* y (- (* -1 (/ x z)) (/ 1 y)))
(* -1 (/ (* x y) z))
(* -1 (* y (+ (/ 1 y) (/ x z))))
(* -1 (* y (+ (/ 1 y) (/ x z))))
(* -1 (* y (+ (/ 1 y) (/ x z))))
(* -1 (/ (* x y) z))
(/ (+ (* -1 z) (* -1 (* x y))) z)
(/ (+ (* -1 z) (* -1 (* x y))) z)
(/ (+ (* -1 z) (* -1 (* x y))) z)
-1
(- (* -1 (/ (* x y) z)) 1)
(- (* -1 (/ (* x y) z)) 1)
(- (* -1 (/ (* x y) z)) 1)
-1
(- (* -1 (/ (* x y) z)) 1)
(- (* -1 (/ (* x y) z)) 1)
(- (* -1 (/ (* x y) z)) 1)
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(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
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(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* x y)
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
z
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
z
(+ z (* x y))
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(+ (* x (sin y)) (* z (cos y)))
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(+ (* 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))
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(* z (+ (cos y) (/ (* x (sin y)) z)))
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(* (pow x 2) (pow y 2))
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (/ (* x z) y) (pow x 2))))
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (/ (* x z) y) (pow x 2)))))
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (/ (* x z) y) (pow x 2)))))
(* (pow x 2) (pow y 2))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (* x z)) y)) (pow x 2)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (+ (* x z) (/ (pow z 2) y))) y)) (pow x 2)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (+ (* x z) (/ (pow z 2) y))) y)) (pow x 2)))
(* -1 (pow z 2))
(+ (* -1 (pow z 2)) (* x (+ (* -1 (* y z)) (* y z))))
(+ (* -1 (pow z 2)) (* x (+ (* -1 (* y z)) (+ (* x (pow y 2)) (* y z)))))
(+ (* -1 (pow z 2)) (* x (+ (* -1 (* y z)) (+ (* x (pow y 2)) (* y z)))))
(* (pow x 2) (pow y 2))
(* (pow x 2) (+ (* -1 (/ (* y z) x)) (+ (/ (* y z) x) (pow y 2))))
(* (pow x 2) (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (+ (/ (* y z) x) (pow y 2)))))
(* (pow x 2) (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (+ (/ (* y z) x) (pow y 2)))))
(* (pow x 2) (pow y 2))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (* y z)) (* y z)) x)) (pow y 2)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (* y z)) (+ (* y z) (/ (pow z 2) x))) x)) (pow y 2)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (* y z)) (+ (* y z) (/ (pow z 2) x))) x)) (pow y 2)))
(* (pow x 2) (pow y 2))
(+ (* z (+ (* -1 (* x y)) (* x y))) (* (pow x 2) (pow y 2)))
(+ (* z (+ (* -1 z) (+ (* -1 (* x y)) (* x y)))) (* (pow x 2) (pow y 2)))
(+ (* z (+ (* -1 z) (+ (* -1 (* x y)) (* x y)))) (* (pow x 2) (pow y 2)))
(* -1 (pow z 2))
(* (pow z 2) (- (+ (* -1 (/ (* x y) z)) (/ (* x y) z)) 1))
(* (pow z 2) (- (+ (* -1 (/ (* x y) z)) (+ (/ (* x y) z) (/ (* (pow x 2) (pow y 2)) (pow z 2)))) 1))
(* (pow z 2) (- (+ (* -1 (/ (* x y) z)) (+ (/ (* x y) z) (/ (* (pow x 2) (pow y 2)) (pow z 2)))) 1))
(* -1 (pow z 2))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (* x y)) (* x y)) z)) 1))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (* x y)) (+ (* -1 (/ (* (pow x 2) (pow y 2)) z)) (* x y))) z)) 1))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (* x y)) (+ (* -1 (/ (* (pow x 2) (pow y 2)) z)) (* x y))) z)) 1))
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* x y)
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
z
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(cos y)
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(/ (* x (sin y)) z)
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(/ (* x (sin y)) z)
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
1
(+ 1 (/ (* x y) z))
(+ 1 (* y (+ (* -1/2 y) (/ x z))))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z))))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(/ (* x (sin y)) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(cos y)
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(cos y)
(+ (cos y) (/ (* x (sin y)) z))
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(+ (cos y) (/ (* x (sin y)) z))
(/ y z)
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(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)))
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
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(/ (sin y) z)
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(/ (sin y) z)
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(- (* y (- (* -1 (/ (* (pow x 2) y) (pow z 3))) (/ x (pow z 2)))) (/ 1 z))
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(/ 1 (* x y))
(/ (+ (/ 1 x) (/ z (* (pow x 2) y))) y)
(/ (- (+ (/ 1 x) (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* -1 (/ z (* (pow x 2) y)))) y)
(/ (- (+ (/ 1 x) (/ (pow z 3) (* (pow x 4) (pow y 3)))) (+ (* -1 (/ z (* (pow x 2) y))) (* -1 (/ (pow z 2) (* (pow x 3) (pow y 2)))))) y)
(/ 1 (* x y))
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(* -1 (/ (- (* -1 (/ (- (/ (pow z 2) (* (pow x 3) y)) (* -1 (/ z (pow x 2)))) y)) (/ 1 x)) y))
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(/ (- (+ (/ 1 y) (/ (pow z 2) (* (pow x 2) (pow y 3)))) (* -1 (/ z (* x (pow y 2))))) x)
(/ (- (+ (/ 1 y) (/ (pow z 3) (* (pow x 3) (pow y 4)))) (+ (* -1 (/ z (* x (pow y 2)))) (* -1 (/ (pow z 2) (* (pow x 2) (pow y 3)))))) x)
(/ 1 (* x y))
(* -1 (/ (- (* -1 (/ z (* x (pow y 2)))) (/ 1 y)) x))
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(/ 1 (* x y))
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(+ (* z (+ (/ 1 (* (pow x 2) (pow y 2))) (/ z (* (pow x 3) (pow y 3))))) (/ 1 (* x y)))
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(/ -1 z)
(/ (- (* -1 (/ (* x y) z)) 1) z)
(/ (- (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ 1 (/ (* x y) z))) z)
(/ (- (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (+ 1 (+ (/ (* x y) z) (/ (* (pow x 2) (pow y 2)) (pow z 2))))) z)
(/ -1 z)
(* -1 (/ (+ 1 (/ (* x y) z)) z))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow y 2)) z)) (* x y)) z))) z))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow y 3)) z) (* -1 (* (pow x 2) (pow y 2)))) z)) (* x y)) z))) z))
Outputs
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
z
(+ z (* -1/2 (* (pow y 2) z)))
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 z #s(literal -1/2 binary64))) z)
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
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(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(cos y)
(cos.f64 y)
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(*.f64 x (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)))
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(*.f64 x (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)))
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(*.f64 x (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)))
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(*.f64 x (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)))
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(*.f64 x (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)))
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(*.f64 x (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)))
1
#s(literal 1 binary64)
(+ 1 (/ (* x y) z))
(fma.f64 x (/.f64 y z) #s(literal 1 binary64))
(+ 1 (* y (+ (* -1/2 y) (/ x z))))
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z)) #s(literal 1 binary64))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z))))
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 x y) (/.f64 #s(literal -1/6 binary64) z) #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal 1 binary64))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) z)
(cos y)
(cos.f64 y)
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(cos y)
(cos.f64 y)
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(/ y z)
(/.f64 y z)
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))
(fma.f64 y (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) z) (/.f64 y z))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)))
(fma.f64 y (*.f64 (*.f64 y y) (*.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) (/.f64 y z))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)))
(fma.f64 (fma.f64 (/.f64 (*.f64 y y) z) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (/.f64 #s(literal -1/6 binary64) z)) (*.f64 y (*.f64 y y)) (/.f64 y z))
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(- (* -1 (/ (* x y) (pow z 2))) (/ 1 z))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) z)
(- (* y (- (* -1 (/ (* (pow x 2) y) (pow z 3))) (/ x (pow z 2)))) (/ 1 z))
(fma.f64 y (neg.f64 (fma.f64 y (*.f64 x (/.f64 x (*.f64 z (*.f64 z z)))) (/.f64 x (*.f64 z z)))) (/.f64 #s(literal -1 binary64) z))
(- (* y (- (* y (- (* -1 (/ (* (pow x 3) y) (pow z 4))) (/ (pow x 2) (pow z 3)))) (/ x (pow z 2)))) (/ 1 z))
(fma.f64 y (fma.f64 y (neg.f64 (*.f64 x (fma.f64 (*.f64 x x) (/.f64 y (pow.f64 z #s(literal 4 binary64))) (/.f64 x (*.f64 z (*.f64 z z)))))) (/.f64 x (*.f64 z (neg.f64 z)))) (/.f64 #s(literal -1 binary64) z))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ (+ (/ 1 x) (/ z (* (pow x 2) y))) y)
(-.f64 (/.f64 z (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/ (- (+ (/ 1 x) (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* -1 (/ z (* (pow x 2) y)))) y)
(/.f64 (fma.f64 z (/.f64 z (*.f64 x (*.f64 x (*.f64 x (*.f64 y y))))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (*.f64 x (*.f64 x y))))) y)
(/ (- (+ (/ 1 x) (/ (pow z 3) (* (pow x 4) (pow y 3)))) (+ (* -1 (/ z (* (pow x 2) y))) (* -1 (/ (pow z 2) (* (pow x 3) (pow y 2)))))) y)
(/.f64 (fma.f64 z (/.f64 (*.f64 z z) (*.f64 (*.f64 y y) (*.f64 y (pow.f64 x #s(literal 4 binary64))))) (fma.f64 z (/.f64 z (*.f64 x (*.f64 x (*.f64 x (*.f64 y y))))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (*.f64 x (*.f64 x y)))))) y)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(* -1 (/ (- (* -1 (/ z (* (pow x 2) y))) (/ 1 x)) y))
(-.f64 (/.f64 z (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(* -1 (/ (- (* -1 (/ (- (/ (pow z 2) (* (pow x 3) y)) (* -1 (/ z (pow x 2)))) y)) (/ 1 x)) y))
(/.f64 (fma.f64 z (/.f64 z (*.f64 x (*.f64 x (*.f64 x (*.f64 y y))))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (*.f64 x (*.f64 x y))))) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) (* (pow x 4) y))) (/ (pow z 2) (pow x 3))) y)) (* -1 (/ z (pow x 2)))) y)) (/ 1 x)) y))
(/.f64 (+.f64 (+.f64 (/.f64 (*.f64 z (+.f64 (/.f64 (*.f64 z z) (*.f64 y (pow.f64 x #s(literal 4 binary64)))) (/.f64 z (*.f64 x (*.f64 x x))))) (*.f64 y y)) (/.f64 z (*.f64 x (*.f64 x y)))) (/.f64 #s(literal 1 binary64) x)) y)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(- (* -1 (/ (* x y) (pow z 2))) (/ 1 z))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) z)
(- (* x (- (* -1 (/ (* x (pow y 2)) (pow z 3))) (/ y (pow z 2)))) (/ 1 z))
(fma.f64 x (neg.f64 (fma.f64 x (*.f64 y (/.f64 y (*.f64 z (*.f64 z z)))) (/.f64 y (*.f64 z z)))) (/.f64 #s(literal -1 binary64) z))
(- (* x (- (* x (- (* -1 (/ (* x (pow y 3)) (pow z 4))) (/ (pow y 2) (pow z 3)))) (/ y (pow z 2)))) (/ 1 z))
(fma.f64 x (fma.f64 x (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 x (pow.f64 z #s(literal 4 binary64))) (*.f64 y (/.f64 y (*.f64 z (*.f64 z z)))))) (/.f64 y (*.f64 z (neg.f64 z)))) (/.f64 #s(literal -1 binary64) z))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ (+ (/ 1 y) (/ z (* x (pow y 2)))) x)
(-.f64 (/.f64 z (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/ (- (+ (/ 1 y) (/ (pow z 2) (* (pow x 2) (pow y 3)))) (* -1 (/ z (* x (pow y 2))))) x)
(/.f64 (+.f64 (/.f64 z (*.f64 x (*.f64 y y))) (fma.f64 z (/.f64 z (*.f64 x (*.f64 x (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) y))) x)
(/ (- (+ (/ 1 y) (/ (pow z 3) (* (pow x 3) (pow y 4)))) (+ (* -1 (/ z (* x (pow y 2)))) (* -1 (/ (pow z 2) (* (pow x 2) (pow y 3)))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z (/.f64 (*.f64 z z) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y)))) (fma.f64 z (/.f64 z (*.f64 x (*.f64 x (*.f64 y (*.f64 y y))))) (/.f64 z (*.f64 x (*.f64 y y)))))) x)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(* -1 (/ (- (* -1 (/ z (* x (pow y 2)))) (/ 1 y)) x))
(-.f64 (/.f64 z (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(* -1 (/ (- (* -1 (/ (- (/ (pow z 2) (* x (pow y 3))) (* -1 (/ z (pow y 2)))) x)) (/ 1 y)) x))
(/.f64 (+.f64 (/.f64 z (*.f64 x (*.f64 y y))) (fma.f64 z (/.f64 z (*.f64 x (*.f64 x (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) y))) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) (* x (pow y 4)))) (/ (pow z 2) (pow y 3))) x)) (* -1 (/ z (pow y 2)))) x)) (/ 1 y)) x))
(/.f64 (+.f64 (+.f64 (/.f64 (*.f64 z (+.f64 (/.f64 (*.f64 z z) (*.f64 x (*.f64 (*.f64 y y) (*.f64 y y)))) (/.f64 z (*.f64 y (*.f64 y y))))) (*.f64 x x)) (/.f64 z (*.f64 x (*.f64 y y)))) (/.f64 #s(literal 1 binary64) y)) x)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(+ (/ 1 (* x y)) (/ z (* (pow x 2) (pow y 2))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 z (*.f64 x (*.f64 x (*.f64 y y)))))
(+ (* z (+ (/ 1 (* (pow x 2) (pow y 2))) (/ z (* (pow x 3) (pow y 3))))) (/ 1 (* x y)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (fma.f64 z (/.f64 z (*.f64 x (*.f64 x (*.f64 x (*.f64 y (*.f64 y y)))))) (/.f64 z (*.f64 x (*.f64 x (*.f64 y y))))))
(+ (* z (+ (* z (+ (/ 1 (* (pow x 3) (pow y 3))) (/ z (* (pow x 4) (pow y 4))))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y)))
(fma.f64 z (fma.f64 z (/.f64 z (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 y y) (*.f64 y y)))) (/.f64 z (*.f64 x (*.f64 x (*.f64 x (*.f64 y (*.f64 y y))))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 z (*.f64 x (*.f64 x (*.f64 y y))))))
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ (- (* -1 (/ (* x y) z)) 1) z)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) z)
(/ (- (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ 1 (/ (* x y) z))) z)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 x (/.f64 (*.f64 y y) z) y)) z)) (neg.f64 z))
(/ (- (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (+ 1 (+ (/ (* x y) z) (/ (* (pow x 2) (pow y 2)) (pow z 2))))) z)
(/.f64 (+.f64 (fma.f64 (neg.f64 x) (*.f64 (*.f64 x x) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x (fma.f64 x (/.f64 (*.f64 y y) z) y)) z))) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(* -1 (/ (+ 1 (/ (* x y) z)) z))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) z)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow y 2)) z)) (* x y)) z))) z))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 x (/.f64 (*.f64 y y) z) y)) z)) (neg.f64 z))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow y 3)) z) (* -1 (* (pow x 2) (pow y 2)))) z)) (* x y)) z))) z))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (fma.f64 x y (/.f64 (*.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 y (*.f64 y y)) z) (*.f64 y y))) z))) z)) z)

rewrite421.0ms (3.5%)

Memory
-24.4MiB live, 723.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 666×lower-fma.f32
6 658×lower-fma.f64
4 414×lower-*.f32
4 400×lower-*.f64
3 730×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040215
063191
1214178
21342178
08434178
Stop Event
iter limit
node limit
iter limit
Counts
20 → 736
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(cos.f64 y)
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* y x) z) (*.f64 x y))
(*.f64 x y)
(*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z))))
#s(approx (+ (* y x) z) (*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z)))
(fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))
(*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
(*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))
(fma.f64 y x z)
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(/.f64 (sin.f64 y) z)
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))
Outputs
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))
(+.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))
(exp.f64 (log.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) #s(literal -1 binary64)))
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(*.f64 (/.f64 (/.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (-.f64 (*.f64 y x) z))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (neg.f64 x) z)) (fma.f64 y x z)) (fma.f64 y x z))
(*.f64 (/.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z (*.f64 z z))) (fma.f64 y x z)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x))))) (-.f64 (*.f64 y x) z)))
(*.f64 (/.f64 (*.f64 (/.f64 (fma.f64 y x z) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (fma.f64 y x z)))) #s(literal 1 binary64)) (fma.f64 y x z)) (/.f64 (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (fma.f64 y x z))) (-.f64 (*.f64 y x) z)))

eval164.0ms (1.4%)

Memory
20.1MiB live, 400.1MiB allocated
Compiler

Compiled 32 937 to 2 181 computations (93.4% saved)

prune250.0ms (2.1%)

Memory
-23.7MiB live, 466.1MiB allocated
Pruning

51 alts after pruning (46 fresh and 5 done)

PrunedKeptTotal
New1 347271 374
Fresh121931
Picked325
Done033
Total1 362511 413
Accuracy
100.0%
Counts
1 413 → 51
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
99.8%
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
20.9%
(/.f64 #s(approx (- (* (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* z (cos y)) (* x (sin y)))) (* (- (* z (cos y)) (* x (sin y))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))))) (*.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 z z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (pow.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)))
51.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))))
63.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 z (cos.f64 y)))))
38.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 x (sin.f64 y)))))
35.6%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (/.f64 (fma.f64 (neg.f64 z) (/.f64 (cos.f64 y) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x)))
42.0%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (/.f64 #s(literal 1 binary64) z)))
53.9%
(+.f64 #s(approx (* x (sin y)) (*.f64 y (fma.f64 (*.f64 y x) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))) (*.f64 z (cos.f64 y)))
45.5%
(*.f64 (-.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y)))))
62.9%
#s(approx (/ (- (* (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* z (cos y)) (* x (sin y)))) (* (- (* z (cos y)) (* x (sin y))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))))) (pow (- (* z (cos y)) (* x (sin y))) 2)) (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
27.8%
#s(approx (/ (- (* (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* z (cos y)) (* x (sin y)))) (* (- (* z (cos y)) (* x (sin y))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))))) (pow (- (* z (cos y)) (* x (sin y))) 2)) (*.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y))))
51.7%
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
51.5%
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z))
86.7%
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)))))
86.8%
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z))
90.6%
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) (cos.f64 y))))
68.5%
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) #s(approx (cos y) #s(literal 1 binary64)))))
56.1%
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 z z)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (/.f64 (*.f64 (sin.f64 y) x) z) (cos.f64 y)))))
46.6%
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z)) #s(literal 1 binary64)))))
51.4%
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 x (/.f64 y z) #s(literal 1 binary64)))))
29.4%
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) (/.f64 (*.f64 x (sin.f64 y)) z))))
90.4%
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) (*.f64 x (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z))))))
42.1%
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64))))
83.2%
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
38.6%
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 x (sin.f64 y)))
28.8%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (*.f64 (*.f64 y x) x) #s(literal 1 binary64)) (/.f64 y (-.f64 (*.f64 y x) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 y x) z)))))
21.9%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 y x) z)))))
52.9%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
13.2%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
26.4%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))))
25.9%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x z) (fma.f64 y (neg.f64 x) z))))))
9.1%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) #s(approx (/ 1 (- (* y x) z)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
22.1%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
11.4%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 y (*.f64 y (fma.f64 z (/.f64 z (*.f64 y (neg.f64 y))) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
8.0%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
63.4%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
40.3%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
46.0%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)))
7.7%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (/.f64 (-.f64 (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 0 binary64)) (-.f64 (*.f64 y x) #s(literal 0 binary64)))))
35.6%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z z)) #s(literal -1 binary64)) (neg.f64 z)) (fma.f64 x (/.f64 y (neg.f64 z)) #s(literal 1 binary64)))))
14.2%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x)))))
51.5%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (neg.f64 z))))
51.6%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (neg.f64 z))))
47.8%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 z))))
51.5%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 y x) z)))) (neg.f64 z))))
39.7%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y)))))
44.0%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x (+.f64 y (/.f64 z x)))))
14.2%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
40.5%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z)))
40.4%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y y)) z)))
Compiler

Compiled 1 860 to 999 computations (46.3% saved)

simplify692.0ms (5.8%)

Memory
20.5MiB live, 655.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z (cos.f64 y))
cost-diff0
#s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 z (cos.f64 y)))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 z (cos.f64 y))))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 z (cos.f64 y)))))
cost-diff0
(*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))
cost-diff0
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))))
cost-diff1088
(/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))
cost-diff2368
(*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))
cost-diff0
(fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64)))
cost-diff0
(fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x)
cost-diff0
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z)
cost-diff0
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z))
cost-diff0
#s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64))
cost-diff0
(*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)))
cost-diff0
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64))))
cost-diff0
(*.f64 (sin.f64 y) x)
cost-diff0
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) (cos.f64 y))))
cost-diff320
(fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) (cos.f64 y))
cost-diff704
(*.f64 z (fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) (cos.f64 y)))
Rules
27 028×lower-fma.f32
27 018×lower-fma.f64
5 446×lower-*.f32
5 428×lower-*.f64
3 180×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044349
071352
1133318
2298280
3781274
42830274
56536274
08245261
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) (cos.f64 y))))
(*.f64 z (fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) (cos.f64 y)))
z
(fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) (cos.f64 y))
(*.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
(cos.f64 y)
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64))))
(*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)))
z
#s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z))
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z)
y
(fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x)
(fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64)))
z
#s(literal -1/2 binary64)
(*.f64 (*.f64 x y) #s(literal -1/6 binary64))
(*.f64 x y)
x
#s(literal -1/6 binary64)
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))))
(*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))
(*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))
(fma.f64 y x z)
y
x
z
(-.f64 (*.f64 y x) z)
(*.f64 y x)
(/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 z (cos.f64 y)))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 z (cos.f64 y))))
#s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
z
(cos.f64 y)
y
Outputs
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) (cos.f64 y))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
(*.f64 z (fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
z
(fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) (cos.f64 y))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(sin.f64 y)
y
x
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
(cos.f64 y)
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64))))
(*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)))
z
#s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z))
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z)
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z)
y
(fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x)
(fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x)
(fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64)))
(fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64))))
z
#s(literal -1/2 binary64)
(*.f64 (*.f64 x y) #s(literal -1/6 binary64))
(*.f64 x (*.f64 y #s(literal -1/6 binary64)))
(*.f64 x y)
(*.f64 y x)
x
#s(literal -1/6 binary64)
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y x z))
(*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))
(fma.f64 y x z)
(*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))
(fma.f64 y x z)
y
x
z
(-.f64 (*.f64 y x) z)
(*.f64 y x)
(/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 z (cos.f64 y)))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (cos.f64 y)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 z (cos.f64 y))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (cos.f64 y))))
#s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 z (cos.f64 y)))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
z
(cos.f64 y)
y

localize203.0ms (1.7%)

Memory
4.8MiB live, 121.4MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(*.f64 z (cos.f64 y))
accuracy99.8%
(/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 z (cos.f64 y))))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 z (cos.f64 y)))))
accuracy63.5%
#s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 z (cos.f64 y)))
accuracy99.9%
(*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))
accuracy52.9%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))))
accuracy46.5%
(*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))
accuracy44.5%
(/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))
accuracy100.0%
(fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x)
accuracy100.0%
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z)
accuracy99.6%
(*.f64 (*.f64 x y) #s(literal -1/6 binary64))
accuracy51.5%
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z))
accuracy100.0%
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64))))
accuracy90.6%
(*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)))
accuracy42.0%
#s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64))
accuracy100.0%
(cos.f64 y)
accuracy99.9%
(fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) (cos.f64 y))
accuracy99.8%
(*.f64 (sin.f64 y) x)
accuracy90.6%
(*.f64 z (fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) (cos.f64 y)))
Samples
99.0ms256×0valid
Compiler

Compiled 278 to 39 computations (86% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-mult: 22.0ms (39% of total)
ival-add: 9.0ms (15.9% of total)
ival-div: 8.0ms (14.2% of total)
ival-cos: 7.0ms (12.4% of total)
ival-sin: 5.0ms (8.9% of total)
const: 4.0ms (7.1% of total)
ival-sub: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series22.0ms (0.2%)

Memory
-8.2MiB live, 29.4MiB allocated
Counts
21 → 696
Calls
Call 1
Inputs
#<alt (*.f64 z (fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) (cos.f64 y)))>
#<alt (fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) (cos.f64 y))>
#<alt #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) (cos.f64 y))))>
#<alt (*.f64 (sin.f64 y) x)>
#<alt #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64))))>
#<alt (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)))>
#<alt #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64))>
#<alt #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z))>
#<alt (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z)>
#<alt (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x)>
#<alt (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64)))>
#<alt (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))>
#<alt (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))>
#<alt #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))))>
#<alt (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 z (cos.f64 y)))))>
#<alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 z (cos.f64 y))))>
#<alt #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 z (cos.f64 y)))>
#<alt (*.f64 z (cos.f64 y))>
#<alt (cos.f64 y)>
#<alt (*.f64 (*.f64 x y) #s(literal -1/6 binary64))>
Outputs
#<alt (* x (sin y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (cos y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt 1>
#<alt (+ 1 (/ (* x y) z))>
#<alt (+ 1 (* y (+ (* -1/2 y) (/ x z))))>
#<alt (+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z))))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (cos y)>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (/ (* x (sin y)) z)>
#<alt (* x (+ (/ (cos y) x) (/ (sin y) z)))>
#<alt (* x (+ (/ (cos y) x) (/ (sin y) z)))>
#<alt (* x (+ (/ (cos y) x) (/ (sin y) z)))>
#<alt (/ (* x (sin y)) z)>
#<alt (* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))>
#<alt (* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))>
#<alt (* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (+ (* x (sin y)) (* z (cos y))) z)>
#<alt (/ (+ (* x (sin y)) (* z (cos y))) z)>
#<alt (/ (+ (* x (sin y)) (* z (cos y))) z)>
#<alt (cos y)>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (cos y)>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (* x (sin y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* x y)>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* x (sin y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* z (cos y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (cos y)>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (/ (* x (sin y)) z)>
#<alt (* x (+ (/ (cos y) x) (/ (sin y) z)))>
#<alt (* x (+ (/ (cos y) x) (/ (sin y) z)))>
#<alt (* x (+ (/ (cos y) x) (/ (sin y) z)))>
#<alt (/ (* x (sin y)) z)>
#<alt (* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))>
#<alt (* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))>
#<alt (* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))>
#<alt 1>
#<alt (+ 1 (/ (* x y) z))>
#<alt (+ 1 (* y (+ (* -1/2 y) (/ x z))))>
#<alt (+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z))))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (+ (* x (sin y)) (* z (cos y))) z)>
#<alt (/ (+ (* x (sin y)) (* z (cos y))) z)>
#<alt (/ (+ (* x (sin y)) (* z (cos y))) z)>
#<alt (cos y)>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (cos y)>
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#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (/ 1 (* x (sin y)))>
#<alt (+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y))))>
#<alt (+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))>
#<alt (+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))>
#<alt (/ 1 (* z (cos y)))>
#<alt (/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)>
#<alt (/ (- (+ (/ 1 (cos y)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z)>
#<alt (/ (- (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z)>
#<alt (/ 1 (* z (cos y)))>
#<alt (* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))>
#<alt (/ 1 z)>
#<alt (+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))>
#<alt (+ (* y (- (* y (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))>
#<alt (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ x (pow z 2))) (+ (* 1/2 (/ x (pow z 2))) (/ (* x (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) z))))) (* 1/2 (/ 1 z))) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))>
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))>
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))>
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))>
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))>
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))>
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))>
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))>
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))>
#<alt (/ 1 (* z (cos y)))>
#<alt (+ (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y))))>
#<alt (+ (* x (- (/ (* x (pow (sin y) 2)) (* (pow z 3) (pow (cos y) 3))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))>
#<alt (+ (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow z 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))>
#<alt (/ 1 (* x (sin y)))>
#<alt (/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x)>
#<alt (/ (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2)))) x)>
#<alt (/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2))))) x)>
#<alt (/ 1 (* x (sin y)))>
#<alt (* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))>
#<alt (* x (sin y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt z>
#<alt (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
Calls

174 calls:

TimeVariablePointExpression
4.0ms
z
@-inf
(+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z)
1.0ms
x
@0
(+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z)
1.0ms
x
@-inf
(+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z)
1.0ms
z
@0
(+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z)
1.0ms
x
@inf
(+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z)

simplify489.0ms (4.1%)

Memory
-38.6MiB live, 554.7MiB allocated
Algorithm
egg-herbie
Rules
7 550×lower-fma.f64
7 550×lower-fma.f32
6 264×lower-*.f64
6 264×lower-*.f32
2 638×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06807651
122627317
277237303
080336756
Stop Event
iter limit
node limit
Counts
696 → 681
Calls
Call 1
Inputs
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
1
(+ 1 (/ (* x y) z))
(+ 1 (* y (+ (* -1/2 y) (/ x z))))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z))))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(cos y)
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(/ (* x (sin y)) z)
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(/ (* x (sin y)) z)
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(/ (* x (sin y)) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(cos y)
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(cos y)
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(cos y)
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(/ (* x (sin y)) z)
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(/ (* x (sin y)) z)
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
1
(+ 1 (/ (* x y) z))
(+ 1 (* y (+ (* -1/2 y) (/ x z))))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z))))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(/ (* x (sin y)) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(cos y)
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(cos y)
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
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(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* 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)
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
Outputs
(* x (sin y))
(*.f64 x (sin.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(neg.f64 (*.f64 (neg.f64 z) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(neg.f64 (*.f64 (neg.f64 z) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(neg.f64 (*.f64 (neg.f64 z) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 y (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
1
#s(literal 1 binary64)
(+ 1 (/ (* x y) z))
(fma.f64 x (/.f64 y z) #s(literal 1 binary64))
(+ 1 (* y (+ (* -1/2 y) (/ x z))))
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z)) #s(literal 1 binary64))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z))))
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 x y) (/.f64 #s(literal -1/6 binary64) z) #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal 1 binary64))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(cos y)
(cos.f64 y)
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(*.f64 x (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)))
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(*.f64 x (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)))
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(*.f64 x (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)))
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(*.f64 (-.f64 (/.f64 (cos.f64 y) (neg.f64 x)) (/.f64 (sin.f64 y) z)) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(*.f64 (-.f64 (/.f64 (cos.f64 y) (neg.f64 x)) (/.f64 (sin.f64 y) z)) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(*.f64 (-.f64 (/.f64 (cos.f64 y) (neg.f64 x)) (/.f64 (sin.f64 y) z)) (neg.f64 x))
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) z)
(cos y)
(cos.f64 y)
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(cos y)
(cos.f64 y)
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(neg.f64 (*.f64 (neg.f64 z) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(neg.f64 (*.f64 (neg.f64 z) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(neg.f64 (*.f64 (neg.f64 z) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 y (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
(* x y)
(*.f64 x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 x (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 y (fma.f64 y (*.f64 y (fma.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) (*.f64 x #s(literal -1/6 binary64)))) x))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 x #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -1/5040 binary64)))) (*.f64 x #s(literal -1/6 binary64))) x))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(neg.f64 (*.f64 (neg.f64 z) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(neg.f64 (*.f64 (neg.f64 z) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(neg.f64 (*.f64 (neg.f64 z) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 y (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
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(* -1/6 (* x y))
(*.f64 y (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (* x y))
(*.f64 y (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (* x y))
(*.f64 y (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (* x y))
(*.f64 y (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (* x y))
(*.f64 y (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (* x y))
(*.f64 y (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (* x y))
(*.f64 y (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (* x y))
(*.f64 y (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (* x y))
(*.f64 y (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (* x y))
(*.f64 y (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (* x y))
(*.f64 y (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (* x y))
(*.f64 y (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (* x y))
(*.f64 y (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (* x y))
(*.f64 y (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (* x y))
(*.f64 y (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (* x y))
(*.f64 y (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (* x y))
(*.f64 y (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (* x y))
(*.f64 y (*.f64 x #s(literal -1/6 binary64)))

rewrite426.0ms (3.5%)

Memory
14.0MiB live, 722.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 290×lower-fma.f32
5 280×lower-fma.f64
4 736×lower-*.f32
4 718×lower-*.f64
4 598×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044310
071291
1275238
21922234
08585221
Stop Event
iter limit
node limit
iter limit
Counts
21 → 715
Calls
Call 1
Inputs
(*.f64 z (fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) (cos.f64 y)))
(fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) (cos.f64 y))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) (cos.f64 y))))
(*.f64 (sin.f64 y) x)
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64))))
(*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)))
#s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z))
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z)
(fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x)
(fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64)))
(*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))
(/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))))
(*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 z (cos.f64 y)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 z (cos.f64 y))))
#s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(cos.f64 y)
(*.f64 (*.f64 x y) #s(literal -1/6 binary64))
Outputs
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)) (*.f64 (sin.f64 y) x))
(exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))) (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))) (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(fma.f64 z (/.f64 (*.f64 (sin.f64 y) x) z) (*.f64 z (cos.f64 y)))
(fma.f64 z (/.f64 (*.f64 (sin.f64 y) x) z) (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(fma.f64 z (/.f64 (*.f64 (sin.f64 y) x) z) (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(fma.f64 (sin.f64 y) x (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)))
(fma.f64 (sin.f64 y) (*.f64 x #s(literal 1 binary64)) (*.f64 z (cos.f64 y)))
(fma.f64 (sin.f64 y) (*.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(fma.f64 (sin.f64 y) (*.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)))
(fma.f64 (sin.f64 y) (*.f64 (/.f64 x z) z) (*.f64 z (cos.f64 y)))
(fma.f64 (sin.f64 y) (*.f64 (/.f64 x z) z) (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(fma.f64 (sin.f64 y) (*.f64 (/.f64 x z) z) (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(fma.f64 x (sin.f64 y) (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 (sin.f64 y) #s(literal 1 binary64)) (*.f64 z (cos.f64 y)))
(fma.f64 x (*.f64 (sin.f64 y) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(fma.f64 x (*.f64 (sin.f64 y) #s(literal 1 binary64)) (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 (/.f64 (sin.f64 y) z) z) (*.f64 z (cos.f64 y)))
(fma.f64 x (*.f64 (/.f64 (sin.f64 y) z) z) (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(fma.f64 x (*.f64 (/.f64 (sin.f64 y) z) z) (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x) (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x) (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (sin.f64 y) x) z) (*.f64 z (cos.f64 y)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (sin.f64 y) x) z) (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (sin.f64 y) x) z) (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) (*.f64 (sin.f64 y) x))
(fma.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64) (*.f64 z (cos.f64 y)))
(fma.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(fma.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64) (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (sin.f64 y) z) (*.f64 x z) (*.f64 z (cos.f64 y)))
(fma.f64 (/.f64 (sin.f64 y) z) (*.f64 x z) (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(fma.f64 (/.f64 (sin.f64 y) z) (*.f64 x z) (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (sin.f64 y) x) z) z (*.f64 z (cos.f64 y)))
(fma.f64 (/.f64 (*.f64 (sin.f64 y) x) z) z (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(fma.f64 (/.f64 (*.f64 (sin.f64 y) x) z) z (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)))
(fma.f64 (*.f64 z (sin.f64 y)) (/.f64 x z) (*.f64 z (cos.f64 y)))
(fma.f64 (*.f64 z (sin.f64 y)) (/.f64 x z) (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(fma.f64 (*.f64 z (sin.f64 y)) (/.f64 x z) (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)))
(fma.f64 (*.f64 z x) (/.f64 (sin.f64 y) z) (*.f64 z (cos.f64 y)))
(fma.f64 (*.f64 z x) (/.f64 (sin.f64 y) z) (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(fma.f64 (*.f64 z x) (/.f64 (sin.f64 y) z) (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)))
(fma.f64 (*.f64 z (/.f64 #s(literal 1 binary64) z)) (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))
(fma.f64 (*.f64 z (/.f64 #s(literal 1 binary64) z)) (*.f64 (sin.f64 y) x) (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(fma.f64 (*.f64 z (/.f64 #s(literal 1 binary64) z)) (*.f64 (sin.f64 y) x) (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)))
(fma.f64 (*.f64 z (*.f64 (sin.f64 y) x)) (/.f64 #s(literal 1 binary64) z) (*.f64 z (cos.f64 y)))
(fma.f64 (*.f64 z (*.f64 (sin.f64 y) x)) (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(fma.f64 (*.f64 z (*.f64 (sin.f64 y) x)) (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)))
(fma.f64 (*.f64 z (/.f64 (sin.f64 y) z)) x (*.f64 z (cos.f64 y)))
(fma.f64 (*.f64 z (/.f64 (sin.f64 y) z)) x (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(fma.f64 (*.f64 z (/.f64 (sin.f64 y) z)) x (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)))
(fma.f64 (/.f64 z z) (/.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64)) (*.f64 z (cos.f64 y)))
(fma.f64 (/.f64 z z) (/.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(fma.f64 (/.f64 z z) (/.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64)) (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)))
(neg.f64 (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))) (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))) (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (*.f64 (sin.f64 y) x) z)) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 z z))) (*.f64 z (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (sin.f64 y) x) z) #s(literal 3 binary64))))))
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(*.f64 (/.f64 (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z))) (*.f64 (/.f64 (fma.f64 y x z) (fma.f64 z (fma.f64 y x z) (*.f64 (*.f64 y x) (*.f64 y x)))) #s(literal 1 binary64))) (/.f64 (fma.f64 y x z) (fma.f64 z (fma.f64 y x z) (*.f64 (*.f64 y x) (*.f64 y x)))))
(*.f64 (/.f64 (fma.f64 y x z) (/.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z)))) (fma.f64 y x z))
(exp.f64 (log.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))
(exp.f64 (*.f64 (log.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal -1 binary64)))
(neg.f64 (neg.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))
(/.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))
(/.f64 (neg.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))) #s(literal -1 binary64))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
(pow.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))
(*.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal 1/2 binary64)) (pow.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (log.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))))
(exp.f64 (*.f64 (neg.f64 (log.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))
(/.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))) #s(literal -1 binary64))
(pow.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))) #s(literal 1 binary64))
(pow.f64 (pow.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal -1/2 binary64)) (pow.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (log.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))
(exp.f64 (*.f64 (log.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal -1 binary64)))
(neg.f64 (neg.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))
(/.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))
(/.f64 (neg.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))) #s(literal -1 binary64))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
(pow.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))
(*.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal 1/2 binary64)) (pow.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(cos.f64 y)
(*.f64 y (*.f64 x #s(literal -1/6 binary64)))
(*.f64 x (*.f64 y #s(literal -1/6 binary64)))
(*.f64 #s(literal -1/6 binary64) (*.f64 y x))
(*.f64 (*.f64 y x) #s(literal -1/6 binary64))
(*.f64 (*.f64 y #s(literal -1/6 binary64)) x)
(*.f64 (*.f64 #s(literal -1/6 binary64) x) y)

eval210.0ms (1.7%)

Memory
15.0MiB live, 562.9MiB allocated
Compiler

Compiled 44 772 to 2 861 computations (93.6% saved)

prune274.0ms (2.3%)

Memory
-21.2MiB live, 666.6MiB allocated
Pruning

59 alts after pruning (51 fresh and 8 done)

PrunedKeptTotal
New1 552201 572
Fresh103141
Picked235
Done055
Total1 564591 623
Accuracy
100.0%
Counts
1 623 → 59
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
99.8%
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
20.9%
(/.f64 #s(approx (- (* (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* z (cos y)) (* x (sin y)))) (* (- (* z (cos y)) (* x (sin y))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))))) (*.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 z z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (pow.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)))
63.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 z (cos.f64 y)))))
38.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 x (sin.f64 y)))))
35.6%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (/.f64 (fma.f64 (neg.f64 z) (/.f64 (cos.f64 y) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x)))
42.0%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (/.f64 #s(literal 1 binary64) z)))
53.9%
(+.f64 #s(approx (* x (sin y)) (*.f64 y (fma.f64 (*.f64 y x) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))) (*.f64 z (cos.f64 y)))
45.5%
(*.f64 (-.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y)))))
62.9%
#s(approx (/ (- (* (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* z (cos y)) (* x (sin y)))) (* (- (* z (cos y)) (* x (sin y))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))))) (pow (- (* z (cos y)) (* x (sin y))) 2)) (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
27.8%
#s(approx (/ (- (* (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* z (cos y)) (* x (sin y)))) (* (- (* z (cos y)) (* x (sin y))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))))) (pow (- (* z (cos y)) (* x (sin y))) 2)) (*.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y))))
51.0%
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) (*.f64 y y) (fma.f64 y x z)))
51.7%
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
51.4%
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x))) z))
40.5%
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y #s(approx (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x) (*.f64 #s(literal -1/2 binary64) (*.f64 y z))) z))
86.7%
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)))))
68.5%
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) #s(approx (cos y) #s(literal 1 binary64)))))
68.5%
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) #s(approx (cos y) #s(literal 1 binary64)))))
56.1%
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 z z)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (/.f64 (*.f64 (sin.f64 y) x) z) (cos.f64 y)))))
46.6%
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* (* (sin y) x) (/ 1 z)) (cos y)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z)) #s(literal 1 binary64)))))
29.4%
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* (* (sin y) x) (/ 1 z)) (cos y)) (/.f64 (*.f64 x (sin.f64 y)) z))))
90.4%
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* (* (sin y) x) (/ 1 z)) (cos y)) (*.f64 x (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z))))))
42.1%
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64))))
83.2%
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
38.6%
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 x (sin.f64 y)))
46.2%
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (fma.f64 z (fma.f64 y (/.f64 (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) z) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) z)))
5.9%
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (*.f64 (-.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 x y)) y)) (neg.f64 (*.f64 y (*.f64 y y))))))
2.9%
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y))))))
14.1%
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (*.f64 x (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y))))
28.8%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (*.f64 (*.f64 y x) x) #s(literal 1 binary64)) (/.f64 y (-.f64 (*.f64 y x) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 y x) z)))))
21.9%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 y x) z)))))
52.9%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
17.1%
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (*.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z)))) (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z)))))
52.4%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 y x (neg.f64 z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z))))))
26.4%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z)))))))))
26.4%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))))
26.4%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 y x z) (fma.f64 y x z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z)))))))))
9.2%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 (*.f64 y y) (-.f64 (*.f64 x x) (/.f64 (fma.f64 z (/.f64 z y) #s(literal 0 binary64)) y)))))))
6.4%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 x (*.f64 x (*.f64 y y)))))))
25.9%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z)))))))
9.1%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) #s(approx (/ (+ (* y x) z) (* (+ (* y x) z) (- (* y x) z))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
9.3%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 (*.f64 y y) (-.f64 (*.f64 x x) (/.f64 (fma.f64 z (/.f64 z y) #s(literal 0 binary64)) y)))) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))))
22.1%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
11.4%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 y (*.f64 y (fma.f64 z (/.f64 z (*.f64 y (neg.f64 y))) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
8.0%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
63.4%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
40.3%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
46.0%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)))
7.7%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (/.f64 (-.f64 (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 0 binary64)) (-.f64 (*.f64 y x) #s(literal 0 binary64)))))
14.2%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x)))))
51.5%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (neg.f64 z))))
51.6%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (neg.f64 z))))
47.8%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 z))))
51.5%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 y x) z)))) (neg.f64 z))))
39.7%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y)))))
44.0%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x (+.f64 y (/.f64 z x)))))
14.2%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
40.5%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z)))
40.4%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y y)) z)))
Compiler

Compiled 3 087 to 977 computations (68.4% saved)

regimes113.0ms (0.9%)

Memory
38.9MiB live, 232.3MiB allocated
Counts
99 → 1
Calls
Call 1
Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y y)) z)))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y #s(approx (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x) (*.f64 #s(literal -1/2 binary64) (*.f64 y z))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x (+.f64 y (/.f64 z x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y)))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y))))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (*.f64 x (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 x (/.f64 y z) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (/.f64 #s(literal 1 binary64) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z)) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* (* (sin y) x) (/ 1 z)) (cos y)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z)) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (fma.f64 x y z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (neg.f64 z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) (*.f64 y y) (fma.f64 y x z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (/.f64 (-.f64 (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 0 binary64)) (-.f64 (*.f64 y x) #s(literal 0 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 y x) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) #s(approx (/ 1 (- (* y x) z)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) #s(approx (/ (+ (* y x) z) (* (+ (* y x) z) (- (* y x) z))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 z (*.f64 y x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 y x (neg.f64 z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) (*.f64 z z)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 y x) z)))) (neg.f64 z))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (fma.f64 z (fma.f64 y (/.f64 (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) z) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) z)))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x))) z))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (*.f64 (-.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 x y)) y)) (neg.f64 (*.f64 y (*.f64 y y))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 x (*.f64 x (*.f64 y y)))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (*.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z)))) (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 y (*.f64 y (fma.f64 z (/.f64 z (*.f64 y (neg.f64 y))) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x z) (fma.f64 y (neg.f64 x) z))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z)))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z z)) #s(literal -1 binary64)) (neg.f64 z)) (fma.f64 x (/.f64 y (neg.f64 z)) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (*.f64 (*.f64 y x) x) #s(literal 1 binary64)) (/.f64 y (-.f64 (*.f64 y x) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 y x) z)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (fma.f64 z (-.f64 z (*.f64 y x)) (*.f64 y (*.f64 x (*.f64 y x))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 (*.f64 y y) (-.f64 (*.f64 x x) (/.f64 (fma.f64 z (/.f64 z y) #s(literal 0 binary64)) y)))) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 (*.f64 y y) (-.f64 (*.f64 x x) (/.f64 (fma.f64 z (/.f64 z y) #s(literal 0 binary64)) y)))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z)))))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 y x) z)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 y x z) (fma.f64 y x z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z)))))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 x (sin.f64 y)))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) (/.f64 (*.f64 x (sin.f64 y)) z))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* (* (sin y) x) (/ 1 z)) (cos y)) (/.f64 (*.f64 x (sin.f64 y)) z))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) #s(approx (cos y) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) #s(approx (cos y) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 x (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 z (cos.f64 y)))))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(+.f64 #s(approx (* x (sin y)) (*.f64 y (fma.f64 (*.f64 y x) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))) (*.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) (cos.f64 y))))
#s(approx (/ (- (* (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* z (cos y)) (* x (sin y)))) (* (- (* z (cos y)) (* x (sin y))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))))) (pow (- (* z (cos y)) (* x (sin y))) 2)) (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
#s(approx (/ (- (* (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* z (cos y)) (* x (sin y)))) (* (- (* z (cos y)) (* x (sin y))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))))) (pow (- (* z (cos y)) (* x (sin y))) 2)) (*.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) (*.f64 x (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z))))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* (* (sin y) x) (/ 1 z)) (cos y)) (*.f64 x (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z))))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)))))
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (/.f64 (fma.f64 x (/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (/.f64 (fma.f64 (neg.f64 z) (/.f64 (cos.f64 y) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x)))
(/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
(*.f64 (-.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 z z)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (/.f64 (*.f64 (sin.f64 y) x) z) (cos.f64 y)))))
(/.f64 #s(approx (- (* (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* z (cos y)) (* x (sin y)))) (* (- (* z (cos y)) (* x (sin y))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))))) (*.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 z z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (pow.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)))
#s(approx (/ (- (* (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* z (cos y)) (* x (sin y)))) (* (- (* z (cos y)) (* x (sin y))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))))) (pow (- (* z (cos y)) (* x (sin y))) 2)) (fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 x (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(fma.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (*.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (pow.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)))
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 2 binary64))))
#s(approx (/ (- (* (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* z (cos y)) (* x (sin y)))) (* (- (* z (cos y)) (* x (sin y))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))))) (pow (- (* z (cos y)) (* x (sin y))) 2)) (*.f64 z (+.f64 (/.f64 (*.f64 (*.f64 x (sin.f64 y)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (/.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)))))
Outputs
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
Calls

4 calls:

29.0ms
z
27.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
27.0ms
x
26.0ms
y
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes90.0ms (0.7%)

Memory
-54.9MiB live, 166.8MiB allocated
Counts
70 → 5
Calls
Call 1
Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y y)) z)))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y #s(approx (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x) (*.f64 #s(literal -1/2 binary64) (*.f64 y z))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x (+.f64 y (/.f64 z x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y)))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y))))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (*.f64 x (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 x (/.f64 y z) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (/.f64 #s(literal 1 binary64) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z)) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* (* (sin y) x) (/ 1 z)) (cos y)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z)) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (fma.f64 x y z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (neg.f64 z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) (*.f64 y y) (fma.f64 y x z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (/.f64 (-.f64 (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 0 binary64)) (-.f64 (*.f64 y x) #s(literal 0 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 y x) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) #s(approx (/ 1 (- (* y x) z)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) #s(approx (/ (+ (* y x) z) (* (+ (* y x) z) (- (* y x) z))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 z (*.f64 y x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 y x (neg.f64 z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) (*.f64 z z)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 y x) z)))) (neg.f64 z))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (fma.f64 z (fma.f64 y (/.f64 (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) z) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) z)))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x))) z))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (*.f64 (-.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 x y)) y)) (neg.f64 (*.f64 y (*.f64 y y))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 x (*.f64 x (*.f64 y y)))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (*.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z)))) (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 y (*.f64 y (fma.f64 z (/.f64 z (*.f64 y (neg.f64 y))) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x z) (fma.f64 y (neg.f64 x) z))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z)))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z z)) #s(literal -1 binary64)) (neg.f64 z)) (fma.f64 x (/.f64 y (neg.f64 z)) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (*.f64 (*.f64 y x) x) #s(literal 1 binary64)) (/.f64 y (-.f64 (*.f64 y x) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 y x) z)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (fma.f64 z (-.f64 z (*.f64 y x)) (*.f64 y (*.f64 x (*.f64 y x))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 (*.f64 y y) (-.f64 (*.f64 x x) (/.f64 (fma.f64 z (/.f64 z y) #s(literal 0 binary64)) y)))) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 (*.f64 y y) (-.f64 (*.f64 x x) (/.f64 (fma.f64 z (/.f64 z y) #s(literal 0 binary64)) y)))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z)))))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 y x) z)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 y x z) (fma.f64 y x z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z)))))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 x (sin.f64 y)))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) (/.f64 (*.f64 x (sin.f64 y)) z))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* (* (sin y) x) (/ 1 z)) (cos y)) (/.f64 (*.f64 x (sin.f64 y)) z))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) #s(approx (cos y) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) #s(approx (cos y) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 x (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 z (cos.f64 y)))))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(+.f64 #s(approx (* x (sin y)) (*.f64 y (fma.f64 (*.f64 y x) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))) (*.f64 z (cos.f64 y)))
Outputs
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) #s(approx (cos y) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) #s(approx (cos y) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
Calls

4 calls:

27.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
19.0ms
x
19.0ms
y
19.0ms
z
Results
AccuracySegmentsBranch
83.4%4x
82.0%5y
85.9%5z
74.2%2(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes22.0ms (0.2%)

Memory
3.9MiB live, 47.6MiB allocated
Counts
65 → 5
Calls
Call 1
Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y y)) z)))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y #s(approx (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x) (*.f64 #s(literal -1/2 binary64) (*.f64 y z))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x (+.f64 y (/.f64 z x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y)))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y))))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (*.f64 x (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 x (/.f64 y z) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (/.f64 #s(literal 1 binary64) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z)) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* (* (sin y) x) (/ 1 z)) (cos y)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z)) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (fma.f64 x y z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (neg.f64 z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) (*.f64 y y) (fma.f64 y x z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (/.f64 (-.f64 (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 0 binary64)) (-.f64 (*.f64 y x) #s(literal 0 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 y x) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) #s(approx (/ 1 (- (* y x) z)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) #s(approx (/ (+ (* y x) z) (* (+ (* y x) z) (- (* y x) z))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 z (*.f64 y x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 y x (neg.f64 z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) (*.f64 z z)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 y x) z)))) (neg.f64 z))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (fma.f64 z (fma.f64 y (/.f64 (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) z) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) z)))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x))) z))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (*.f64 (-.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 x y)) y)) (neg.f64 (*.f64 y (*.f64 y y))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 x (*.f64 x (*.f64 y y)))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (*.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z)))) (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 y (*.f64 y (fma.f64 z (/.f64 z (*.f64 y (neg.f64 y))) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x z) (fma.f64 y (neg.f64 x) z))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z)))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z z)) #s(literal -1 binary64)) (neg.f64 z)) (fma.f64 x (/.f64 y (neg.f64 z)) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (*.f64 (*.f64 y x) x) #s(literal 1 binary64)) (/.f64 y (-.f64 (*.f64 y x) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 y x) z)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (fma.f64 z (-.f64 z (*.f64 y x)) (*.f64 y (*.f64 x (*.f64 y x))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 (*.f64 y y) (-.f64 (*.f64 x x) (/.f64 (fma.f64 z (/.f64 z y) #s(literal 0 binary64)) y)))) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 (*.f64 y y) (-.f64 (*.f64 x x) (/.f64 (fma.f64 z (/.f64 z y) #s(literal 0 binary64)) y)))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z)))))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 y x) z)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 y x z) (fma.f64 y x z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z)))))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 x (sin.f64 y)))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) (/.f64 (*.f64 x (sin.f64 y)) z))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* (* (sin y) x) (/ 1 z)) (cos y)) (/.f64 (*.f64 x (sin.f64 y)) z))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) #s(approx (cos y) #s(literal 1 binary64)))))
Outputs
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) #s(approx (cos y) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) #s(approx (cos y) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
Calls

1 calls:

19.0ms
z
Results
AccuracySegmentsBranch
85.9%5z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes40.0ms (0.3%)

Memory
9.0MiB live, 85.2MiB allocated
Counts
64 → 3
Calls
Call 1
Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y y)) z)))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y #s(approx (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x) (*.f64 #s(literal -1/2 binary64) (*.f64 y z))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x (+.f64 y (/.f64 z x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y)))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y))))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (*.f64 x (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 x (/.f64 y z) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (/.f64 #s(literal 1 binary64) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z)) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* (* (sin y) x) (/ 1 z)) (cos y)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z)) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (fma.f64 x y z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (neg.f64 z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) (*.f64 y y) (fma.f64 y x z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (/.f64 (-.f64 (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 0 binary64)) (-.f64 (*.f64 y x) #s(literal 0 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 y x) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) #s(approx (/ 1 (- (* y x) z)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) #s(approx (/ (+ (* y x) z) (* (+ (* y x) z) (- (* y x) z))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 z (*.f64 y x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 y x (neg.f64 z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) (*.f64 z z)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 y x) z)))) (neg.f64 z))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (fma.f64 z (fma.f64 y (/.f64 (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) z) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) z)))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x))) z))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (*.f64 (-.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 x y)) y)) (neg.f64 (*.f64 y (*.f64 y y))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 x (*.f64 x (*.f64 y y)))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (*.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z)))) (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 y (*.f64 y (fma.f64 z (/.f64 z (*.f64 y (neg.f64 y))) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x z) (fma.f64 y (neg.f64 x) z))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z)))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z z)) #s(literal -1 binary64)) (neg.f64 z)) (fma.f64 x (/.f64 y (neg.f64 z)) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (*.f64 (*.f64 y x) x) #s(literal 1 binary64)) (/.f64 y (-.f64 (*.f64 y x) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 y x) z)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (fma.f64 z (-.f64 z (*.f64 y x)) (*.f64 y (*.f64 x (*.f64 y x))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 (*.f64 y y) (-.f64 (*.f64 x x) (/.f64 (fma.f64 z (/.f64 z y) #s(literal 0 binary64)) y)))) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 (*.f64 y y) (-.f64 (*.f64 x x) (/.f64 (fma.f64 z (/.f64 z y) #s(literal 0 binary64)) y)))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z)))))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 y x) z)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 y x z) (fma.f64 y x z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z)))))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 x (sin.f64 y)))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) (/.f64 (*.f64 x (sin.f64 y)) z))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* (* (sin y) x) (/ 1 z)) (cos y)) (/.f64 (*.f64 x (sin.f64 y)) z))))
Outputs
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
Calls

2 calls:

19.0ms
x
18.0ms
z
Results
AccuracySegmentsBranch
78.4%3x
79.6%3z
Compiler

Compiled 8 to 6 computations (25% saved)

regimes57.0ms (0.5%)

Memory
1.3MiB live, 121.6MiB allocated
Counts
60 → 3
Calls
Call 1
Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y y)) z)))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y #s(approx (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x) (*.f64 #s(literal -1/2 binary64) (*.f64 y z))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x (+.f64 y (/.f64 z x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y)))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y))))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (*.f64 x (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 x (/.f64 y z) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (/.f64 #s(literal 1 binary64) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z)) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* (* (sin y) x) (/ 1 z)) (cos y)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z)) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (fma.f64 x y z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (neg.f64 z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) (*.f64 y y) (fma.f64 y x z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (/.f64 (-.f64 (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 0 binary64)) (-.f64 (*.f64 y x) #s(literal 0 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 y x) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) #s(approx (/ 1 (- (* y x) z)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) #s(approx (/ (+ (* y x) z) (* (+ (* y x) z) (- (* y x) z))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 z (*.f64 y x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 y x (neg.f64 z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) (*.f64 z z)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 y x) z)))) (neg.f64 z))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (fma.f64 z (fma.f64 y (/.f64 (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) z) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) z)))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x))) z))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (*.f64 (-.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 x y)) y)) (neg.f64 (*.f64 y (*.f64 y y))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 x (*.f64 x (*.f64 y y)))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (*.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z)))) (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 y (*.f64 y (fma.f64 z (/.f64 z (*.f64 y (neg.f64 y))) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x z) (fma.f64 y (neg.f64 x) z))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z)))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z z)) #s(literal -1 binary64)) (neg.f64 z)) (fma.f64 x (/.f64 y (neg.f64 z)) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (*.f64 (*.f64 y x) x) #s(literal 1 binary64)) (/.f64 y (-.f64 (*.f64 y x) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 y x) z)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (fma.f64 z (-.f64 z (*.f64 y x)) (*.f64 y (*.f64 x (*.f64 y x))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 (*.f64 y y) (-.f64 (*.f64 x x) (/.f64 (fma.f64 z (/.f64 z y) #s(literal 0 binary64)) y)))) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 (*.f64 y y) (-.f64 (*.f64 x x) (/.f64 (fma.f64 z (/.f64 z y) #s(literal 0 binary64)) y)))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z)))))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 y x) z)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 y x z) (fma.f64 y x z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z)))))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))
Outputs
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))
Calls

3 calls:

18.0ms
z
18.0ms
y
17.0ms
x
Results
AccuracySegmentsBranch
63.0%3x
76.1%3y
61.7%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes112.0ms (0.9%)

Memory
16.4MiB live, 136.9MiB allocated
Counts
59 → 1
Calls
Call 1
Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y y)) z)))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y #s(approx (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x) (*.f64 #s(literal -1/2 binary64) (*.f64 y z))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x (+.f64 y (/.f64 z x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y)))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y))))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (*.f64 x (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 x (/.f64 y z) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (/.f64 #s(literal 1 binary64) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z)) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* (* (sin y) x) (/ 1 z)) (cos y)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z)) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (fma.f64 x y z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (neg.f64 z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) (*.f64 y y) (fma.f64 y x z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (/.f64 (-.f64 (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 0 binary64)) (-.f64 (*.f64 y x) #s(literal 0 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 y x) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) #s(approx (/ 1 (- (* y x) z)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) #s(approx (/ (+ (* y x) z) (* (+ (* y x) z) (- (* y x) z))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 z (*.f64 y x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 y x (neg.f64 z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) (*.f64 z z)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 y x) z)))) (neg.f64 z))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (fma.f64 z (fma.f64 y (/.f64 (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) z) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) z)))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x))) z))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (*.f64 (-.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 x y)) y)) (neg.f64 (*.f64 y (*.f64 y y))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 x (*.f64 x (*.f64 y y)))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (*.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z)))) (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 y (*.f64 y (fma.f64 z (/.f64 z (*.f64 y (neg.f64 y))) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x z) (fma.f64 y (neg.f64 x) z))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z)))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z z)) #s(literal -1 binary64)) (neg.f64 z)) (fma.f64 x (/.f64 y (neg.f64 z)) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (*.f64 (*.f64 y x) x) #s(literal 1 binary64)) (/.f64 y (-.f64 (*.f64 y x) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 y x) z)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (fma.f64 z (-.f64 z (*.f64 y x)) (*.f64 y (*.f64 x (*.f64 y x))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 (*.f64 y y) (-.f64 (*.f64 x x) (/.f64 (fma.f64 z (/.f64 z y) #s(literal 0 binary64)) y)))) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 (*.f64 y y) (-.f64 (*.f64 x x) (/.f64 (fma.f64 z (/.f64 z y) #s(literal 0 binary64)) y)))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z)))))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 y x) z)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 y x z) (fma.f64 y x z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z)))))))))
Outputs
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
Calls

4 calls:

45.0ms
x
31.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
16.0ms
y
16.0ms
z
Results
AccuracySegmentsBranch
52.9%1z
52.9%1x
52.9%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
52.9%1y
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes9.0ms (0.1%)

Memory
-16.8MiB live, 21.7MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64))))
Outputs
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
Calls

4 calls:

3.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
2.0ms
z
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
42.1%1z
44.0%2x
42.1%1y
42.1%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0%)

Memory
15.3MiB live, 15.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

1.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
1.0ms
y
1.0ms
z
1.0ms
x
Results
AccuracySegmentsBranch
14.2%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
14.2%1z
14.2%1y
14.2%1x
Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch81.0ms (0.7%)

Memory
7.9MiB live, 165.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
8.874354396432282e-42
1.5057778930234676e-39
21.0ms
3.889949883504548e-257
1.9621768857508252e-254
15.0ms
-1.6112624313083303e-258
-6.250160717623075e-262
23.0ms
-4.5227290887991624e+85
-8.703957287027335e+74
Samples
56.0ms528×0valid
Compiler

Compiled 873 to 542 computations (37.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-cos: 13.0ms (34.6% of total)
ival-sin: 13.0ms (34.6% of total)
ival-mult: 7.0ms (18.6% of total)
ival-add: 3.0ms (8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch4.0ms (0%)

Memory
-31.8MiB live, 7.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
8.874354396432282e-42
1.5057778930234676e-39
1.0ms
3.889949883504548e-257
1.9621768857508252e-254
1.0ms
-1.6112624313083303e-258
-6.250160717623075e-262
2.0ms
-4.5227290887991624e+85
-8.703957287027335e+74
Compiler

Compiled 807 to 509 computations (36.9% saved)

bsearch46.0ms (0.4%)

Memory
29.4MiB live, 68.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
8.874354396432282e-42
1.5057778930234676e-39
31.0ms
-1.9744838007842066e-76
-4.2504885217522744e-82
Samples
34.0ms240×0valid
Compiler

Compiled 303 to 206 computations (32% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 17.0ms (60.6% of total)
ival-sin: 5.0ms (17.8% of total)
ival-cos: 4.0ms (14.3% of total)
ival-add: 1.0ms (3.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch64.0ms (0.5%)

Memory
-27.8MiB live, 53.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
9.215677070676279e-26
3.6132119530980317e-22
41.0ms
-0.4733828938405597
-0.006153813508258021
Samples
44.0ms240×0valid
Compiler

Compiled 360 to 224 computations (37.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-mult: 33.0ms (85.9% of total)
ival-cos: 2.0ms (5.2% of total)
ival-sin: 2.0ms (5.2% of total)
ival-add: 1.0ms (2.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch16.0ms (0.1%)

Memory
30.5MiB live, 30.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
4.1217776730886853e+226
2.319576369591369e+229
Samples
10.0ms128×0valid
Compiler

Compiled 159 to 102 computations (35.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sin: 3.0ms (42.2% of total)
ival-cos: 2.0ms (28.1% of total)
ival-mult: 2.0ms (28.1% of total)
ival-add: 1.0ms (14.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify14.0ms (0.1%)

Memory
-22.1MiB live, 17.5MiB allocated
Algorithm
egg-herbie
Rules
14×*-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074409
184409
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(if (<=.f64 z #s(literal -1059999999999999966322964264192303436323288947493407529858987533993987014656 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal -7616908286351531/34622310392506957584946940144288832324819178359103260074178033026772100877957520390515409281853501465865381150278099185099233529659567999369251322492547208112268029722558797196081988742442283240850996127872528443254245182193766350116513179157596502523218400437714157458948096 binary64)) #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) #s(approx (cos y) #s(literal 1 binary64))))) (if (<=.f64 z #s(literal 8347053591943511/2113178124542660985409359139666066426075389304144486088511842836106695610226899437897669023550628751578697579973028514715529390238010742149002155913851758307633546735996020336674926070705705764212096931632844753616592113171006246955353587595068145905958154323590951993344 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) (if (<=.f64 z #s(literal 5149185017309387/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) #s(approx (cos y) #s(literal 1 binary64))))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))))
(if (<=.f64 z #s(literal -1059999999999999966322964264192303436323288947493407529858987533993987014656 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal -7616908286351531/34622310392506957584946940144288832324819178359103260074178033026772100877957520390515409281853501465865381150278099185099233529659567999369251322492547208112268029722558797196081988742442283240850996127872528443254245182193766350116513179157596502523218400437714157458948096 binary64)) #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) #s(approx (cos y) #s(literal 1 binary64))))) (if (<=.f64 z #s(literal 8347053591943511/2113178124542660985409359139666066426075389304144486088511842836106695610226899437897669023550628751578697579973028514715529390238010742149002155913851758307633546735996020336674926070705705764212096931632844753616592113171006246955353587595068145905958154323590951993344 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) (if (<=.f64 z #s(literal 5149185017309387/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) #s(approx (cos y) #s(literal 1 binary64))))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))))
(if (<=.f64 z #s(literal -4912770182618093/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 3432790011539591/196159429230833773869868419475239575503198607639501078528 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))
(if (<=.f64 y #s(literal -3098476543630901/144115188075855872 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) (if (<=.f64 y #s(literal 7656353255721115/21267647932558653966460912964485513216 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
(if (<=.f64 x #s(literal 1060000000000000014241304169570614926847931233515479524838147868974606585696383098052599728063042429136532563742706181564393095362369927183966288407465294196195757682722760920708035730042630788930982125620681321213983625203154944 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
Outputs
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(if (<=.f64 z #s(literal -1059999999999999966322964264192303436323288947493407529858987533993987014656 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal -7616908286351531/34622310392506957584946940144288832324819178359103260074178033026772100877957520390515409281853501465865381150278099185099233529659567999369251322492547208112268029722558797196081988742442283240850996127872528443254245182193766350116513179157596502523218400437714157458948096 binary64)) #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) #s(approx (cos y) #s(literal 1 binary64))))) (if (<=.f64 z #s(literal 8347053591943511/2113178124542660985409359139666066426075389304144486088511842836106695610226899437897669023550628751578697579973028514715529390238010742149002155913851758307633546735996020336674926070705705764212096931632844753616592113171006246955353587595068145905958154323590951993344 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) (if (<=.f64 z #s(literal 5149185017309387/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) #s(approx (cos y) #s(literal 1 binary64))))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))))
(if (<=.f64 z #s(literal -1059999999999999966322964264192303436323288947493407529858987533993987014656 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal -7616908286351531/34622310392506957584946940144288832324819178359103260074178033026772100877957520390515409281853501465865381150278099185099233529659567999369251322492547208112268029722558797196081988742442283240850996127872528443254245182193766350116513179157596502523218400437714157458948096 binary64)) #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 (*.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) z) #s(approx (cos y) #s(literal 1 binary64))))) (if (<=.f64 z #s(literal 8347053591943511/2113178124542660985409359139666066426075389304144486088511842836106695610226899437897669023550628751578697579973028514715529390238010742149002155913851758307633546735996020336674926070705705764212096931632844753616592113171006246955353587595068145905958154323590951993344 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) (if (<=.f64 z #s(literal 5149185017309387/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 (*.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) z) #s(approx (cos y) #s(literal 1 binary64))))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))))
(if (<=.f64 z #s(literal -1059999999999999966322964264192303436323288947493407529858987533993987014656 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal -7616908286351531/34622310392506957584946940144288832324819178359103260074178033026772100877957520390515409281853501465865381150278099185099233529659567999369251322492547208112268029722558797196081988742442283240850996127872528443254245182193766350116513179157596502523218400437714157458948096 binary64)) #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) #s(approx (cos y) #s(literal 1 binary64))))) (if (<=.f64 z #s(literal 8347053591943511/2113178124542660985409359139666066426075389304144486088511842836106695610226899437897669023550628751578697579973028514715529390238010742149002155913851758307633546735996020336674926070705705764212096931632844753616592113171006246955353587595068145905958154323590951993344 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) (if (<=.f64 z #s(literal 5149185017309387/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) #s(approx (cos y) #s(literal 1 binary64))))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))))
(if (<=.f64 z #s(literal -1059999999999999966322964264192303436323288947493407529858987533993987014656 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal -7616908286351531/34622310392506957584946940144288832324819178359103260074178033026772100877957520390515409281853501465865381150278099185099233529659567999369251322492547208112268029722558797196081988742442283240850996127872528443254245182193766350116513179157596502523218400437714157458948096 binary64)) #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) #s(approx (cos y) #s(literal 1 binary64))))) (if (<=.f64 z #s(literal 8347053591943511/2113178124542660985409359139666066426075389304144486088511842836106695610226899437897669023550628751578697579973028514715529390238010742149002155913851758307633546735996020336674926070705705764212096931632844753616592113171006246955353587595068145905958154323590951993344 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) (if (<=.f64 z #s(literal 5149185017309387/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) #s(approx (cos y) #s(literal 1 binary64))))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))))
(if (<=.f64 z #s(literal -4912770182618093/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 3432790011539591/196159429230833773869868419475239575503198607639501078528 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))
(if (<=.f64 z #s(literal -4912770182618093/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 3432790011539591/196159429230833773869868419475239575503198607639501078528 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
(if (<=.f64 y #s(literal -3098476543630901/144115188075855872 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) (if (<=.f64 y #s(literal 7656353255721115/21267647932558653966460912964485513216 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
(if (<=.f64 x #s(literal 1060000000000000014241304169570614926847931233515479524838147868974606585696383098052599728063042429136532563742706181564393095362369927183966288407465294196195757682722760920708035730042630788930982125620681321213983625203154944 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))))
(if (<=.f64 x #s(literal 1060000000000000014241304169570614926847931233515479524838147868974606585696383098052599728063042429136532563742706181564393095362369927183966288407465294196195757682722760920708035730042630788930982125620681321213983625203154944 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))

soundness1.6s (13.3%)

Memory
0.9MiB live, 944.4MiB allocated
Rules
12 858×lower-fma.f64
12 858×lower-fma.f32
11 480×lower-fma.f64
11 480×lower-fma.f32
11 462×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06807651
122627317
277237303
080336756
04335194
113925008
243424900
082214554
040215
063191
1214178
21342178
08434178
0821
01321
12921
218521
3183621
0839120
08338553
129267980
088007557
0109682
1344678
2991668
32652662
44669662
56964662
08196606
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 460 to 201 computations (56.3% saved)

preprocess83.0ms (0.7%)

Memory
-3.3MiB live, 170.4MiB allocated
Compiler

Compiled 416 to 122 computations (70.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...