Diagrams.ThreeD.Transform:aboutY from diagrams-lib-1.3.0.3

Time bar (total: 13.3s)

analyze0.0ms (0%)

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

Compiled 11 to 10 computations (9.1% saved)

sample1.5s (11.6%)

Memory
-0.3MiB live, 1 709.0MiB allocated
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 938.0ms
ival-cos: 388.0ms (41.4% of total)
ival-sin: 337.0ms (35.9% of total)
ival-mult: 170.0ms (18.1% of total)
ival-add: 34.0ms (3.6% of total)
ival-true: 6.0ms (0.6% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess74.0ms (0.6%)

Memory
-1.8MiB live, 35.1MiB allocated
Algorithm
1×egg-herbie
Rules
162×associate-*r*
160×unsub-neg
146×associate-*l*
132×distribute-lft-neg-in
106×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03587
17981
213981
330781
445881
568881
686181
794781
8102581
9109181
10110581
11111081
12111281
089
0139
1169
0168
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Outputs
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))

explain224.0ms (1.7%)

Memory
-15.1MiB live, 145.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
00-0-(sin.f64 y)
00-0-y
00-0-(*.f64 x (cos.f64 y))
00-0-z
00-0-(cos.f64 y)
00-0-x
00-0-(*.f64 z (sin.f64 y))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
72.0ms512×0valid
Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-cos: 23.0ms (54.2% of total)
ival-sin: 10.0ms (23.5% of total)
ival-mult: 6.0ms (14.1% of total)
ival-add: 2.0ms (4.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify5.0ms (0%)

Memory
4.3MiB live, 4.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize65.0ms (0.5%)

Memory
-4.8MiB live, 33.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cos.f64 y)
✓accuracy100.0%
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
✓accuracy99.8%
(*.f64 x (cos.f64 y))
✓accuracy99.8%
(*.f64 z (sin.f64 y))
Samples
22.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-cos: 5.0ms (34.6% of total)
ival-sin: 5.0ms (34.6% of total)
ival-mult: 3.0ms (20.8% of total)
ival-add: 1.0ms (6.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
8.9MiB live, 8.9MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#<alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (cos.f64 y)>
#<alt (*.f64 z (sin.f64 y))>
Outputs
#<alt (* z (sin y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (sin y))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt x>
#<alt (+ x (* -1/2 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (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 (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* y z)>
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
Calls

24 calls:

TimeVariablePointExpression
2.0ms
x
@0
(+ (* x (cos y)) (* z (sin y)))
1.0ms
z
@inf
(+ (* x (cos y)) (* z (sin y)))
1.0ms
z
@0
(+ (* x (cos y)) (* z (sin y)))
1.0ms
y
@-inf
(+ (* x (cos y)) (* z (sin y)))
0.0ms
y
@inf
(+ (* x (cos y)) (* z (sin y)))

simplify528.0ms (4%)

Memory
24.0MiB live, 498.4MiB allocated
Algorithm
1×egg-herbie
Rules
14 080×lower-fma.f64
14 080×lower-fma.f32
3 812×lower-*.f64
3 812×lower-*.f32
2 968×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093620
1295616
2892610
32078604
43746604
56389604
08805554
Stop Event
1×iter limit
1×node limit
Counts
96 → 94
Calls
Call 1
Inputs
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
Outputs
(* z (sin y))
(*.f64 z (sin.f64 y))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
x
(+ x (* y z))
(fma.f64 z y x)
(+ x (* y (+ z (* -1/2 (* x y)))))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x)
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
x
(+ x (* -1/2 (* x (pow y 2))))
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) x)
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* y z)
(*.f64 z y)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(*.f64 z (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(*.f64 y (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) z))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))

rewrite503.0ms (3.8%)

Memory
0.1MiB live, 751.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
11 480×lower-fma.f64
11 480×lower-fma.f32
4 168×lower-*.f32
4 164×lower-*.f64
4 068×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
01319
12919
218519
3183619
0838618
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 176
Calls
Call 1
Inputs
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
(cos.f64 y)
(*.f64 z (sin.f64 y))
Outputs
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.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 (cos.f64 y)) (*.f64 z (sin.f64 y))))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (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 (sin.f64 y)) (*.f64 x (cos.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 (sin.f64 y)) (*.f64 x (cos.f64 y))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) #s(literal -1 binary64)))
(-.f64 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 z (sin.f64 y))))
(-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (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 (sin.f64 y)) (*.f64 x (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 (sin.f64 y)) (*.f64 x (cos.f64 y)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 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 (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) (/.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 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 (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (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 (cos.f64 y)) #s(literal 4 binary64)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 (/.f64 (pow.f64 (*.f64 z (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 (cos.f64 y)) #s(literal 4 binary64)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (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 (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 (/.f64 (pow.f64 (*.f64 z (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 (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 y) (neg.f64 x) (*.f64 z (sin.f64 y)))) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (*.f64 (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (*.f64 (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) #s(literal 4 binary64))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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 (sin.f64 y)) #s(literal 4 binary64)) (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.f64 y)))) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.f64 y))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.f64 y))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.f64 y)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.f64 y)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) (/.f64 (*.f64 x (*.f64 x (cos.f64 y))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(fma.f64 (*.f64 x (cos.f64 y)) (/.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.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 (cos.f64 y)) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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 (sin.f64 y)) (*.f64 x (cos.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 (sin.f64 y)) (*.f64 x (cos.f64 y))))))
(fma.f64 #s(literal 1 binary64) (*.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 (cos.f64 y)) (*.f64 z (sin.f64 y))))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(fma.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(fma.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
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(*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 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 (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (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 (cos.f64 y)) #s(literal 4 binary64))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (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 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 (sin.f64 y)) (*.f64 x (cos.f64 y)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64))))
(*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (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 (cos.f64 y)) (*.f64 z (sin.f64 y))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.f64 y))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))))))
(*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 9 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 9 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 (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) (*.f64 x (*.f64 z (sin.f64 y)))) #s(literal 3 binary64))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 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 (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) (-.f64 (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) #s(literal 2 binary64)))) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.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 (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 9 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) (*.f64 x (*.f64 z (sin.f64 y)))) #s(literal 3 binary64))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.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 (cos.f64 y)) #s(literal 4 binary64)))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(exp.f64 (log.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cos.f64 y))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 (pow.f64 x #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 x #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (cos.f64 y))))
(cos.f64 y)
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 z (sin.f64 y))))
(neg.f64 (neg.f64 (*.f64 z (sin.f64 y))))
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 z (sin.f64 y))))
(*.f64 (pow.f64 z #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 z #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 z)))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (sin.f64 y))))

eval31.0ms (0.2%)

Memory
17.5MiB live, 92.4MiB allocated
Compiler

Compiled 10 060 to 552 computations (94.5% saved)

prune71.0ms (0.5%)

Memory
-8.1MiB live, 157.7MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New25713270
Fresh000
Picked101
Done000
Total25813271
Accuracy
99.9%
Counts
271 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶65.9%
(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 (cos.f64 y)) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
▶99.8%
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
44.7%
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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))))))))
45.8%
(/.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 (sin.f64 y)) (*.f64 x (cos.f64 y))))
▶99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
55.6%
(+.f64 #s(approx (* x (cos y)) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) x)) (*.f64 z (sin.f64 y)))
31.1%
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) #s(literal 2 binary64)))) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))))
17.6%
(*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (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 (cos.f64 y)) #s(literal 4 binary64))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
▶52.9%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
51.5%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x))
51.4%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x))
39.7%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))
▶61.7%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
Compiler

Compiled 742 to 366 computations (50.7% saved)

simplify406.0ms (3.1%)

Memory
-9.0MiB live, 554.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓cost-diff128
(neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
✓cost-diff128
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓cost-diff14400
(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 (cos.f64 y)) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
✓cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(*.f64 x (cos.f64 y))
✓cost-diff0
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
✓cost-diff0
(fma.f64 z y x)
✓cost-diff0
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(*.f64 x (cos.f64 y))
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
Rules
12 136×lower-fma.f32
12 128×lower-fma.f64
3 544×lower-*.f32
3 532×lower-*.f64
1 856×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034283
060279
1110279
2224277
3595277
41823276
55119266
67891266
08310260
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(sin.f64 y)
y
z
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
(fma.f64 z y x)
z
y
x
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
(fma.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
x
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))
(cos.f64 (+.f64 y y))
(+.f64 y y)
y
(/.f64 x (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
(cos.f64 y)
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
(neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(*.f64 z z)
Outputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(sin.f64 y)
y
z
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y z x))
(fma.f64 z y x)
(fma.f64 y z x)
z
y
x
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
z
(sin.f64 y)
(fma.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))) (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x (fma.f64 x (cos.f64 (+.f64 y y)) x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
x
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
#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 x (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(/.f64 x (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))
(*.f64 x (cos.f64 y))
(cos.f64 y)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
z
(sin.f64 y)
(neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(/.f64 (*.f64 z (*.f64 z (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (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 (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 z (*.f64 z (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))
(-.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))
(/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))
(*.f64 z z)

localize202.0ms (1.5%)

Memory
6.9MiB live, 436.6MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓accuracy86.9%
(*.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 (cos.f64 y)) (*.f64 z (sin.f64 y)))))
✓accuracy77.3%
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓accuracy74.6%
(/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
✓accuracy99.9%
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
✓accuracy99.8%
(*.f64 z (sin.f64 y))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
✓accuracy100.0%
(cos.f64 y)
✓accuracy99.8%
(*.f64 x (cos.f64 y))
✓accuracy61.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
✓accuracy100.0%
(fma.f64 z y x)
✓accuracy52.9%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
✓accuracy100.0%
(sin.f64 y)
✓accuracy100.0%
(cos.f64 y)
✓accuracy99.9%
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
✓accuracy99.8%
(*.f64 x (cos.f64 y))
Samples
71.0ms79×1valid
38.0ms130×0valid
32.0ms47×2valid
Compiler

Compiled 283 to 32 computations (88.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 104.0ms
ival-cos: 34.0ms (32.8% of total)
ival-mult: 19.0ms (18.3% of total)
ival-sin: 15.0ms (14.5% of total)
ival-div: 11.0ms (10.6% of total)
adjust: 10.0ms (9.6% of total)
ival-add: 9.0ms (8.7% of total)
ival-sub: 3.0ms (2.9% of total)
ival-neg: 2.0ms (1.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series51.0ms (0.4%)

Memory
-8.1MiB live, 106.2MiB allocated
Counts
17 → 492
Calls
Call 1
Inputs
#<alt (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))>
#<alt (sin.f64 y)>
#<alt (*.f64 x (cos.f64 y))>
#<alt (cos.f64 y)>
#<alt #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))>
#<alt (fma.f64 z y x)>
#<alt #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))>
#<alt (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))>
#<alt (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 (cos.f64 y)) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))>
#<alt (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))>
#<alt (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))>
#<alt (*.f64 z (sin.f64 y))>
#<alt (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))>
#<alt (*.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 (cos.f64 y)) (*.f64 z (sin.f64 y)))))>
Outputs
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (sin y))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* z (sin y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<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 (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt x>
#<alt (+ x (* -1/2 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (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 (* z (sin y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (sin y))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (* y z)>
#<alt (* z (+ y (/ x z)))>
#<alt (* z (+ y (/ x z)))>
#<alt (* z (+ y (/ x z)))>
#<alt (* y z)>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))>
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#<alt (* -1 (* z (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (/ (* (pow x 3) (* (pow (cos y) 3) (cos (* 2 y)))) (pow (sin y) 4))) (+ (* -1/2 (/ (* (pow x 3) (pow (cos y) 3)) (pow (sin y) 4))) (/ (* (pow x 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)) (+ (* 1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (pow (sin y) 3))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))) (* 1/2 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) (* -1/2 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin y))))))>
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#<alt (* (pow y 2) (- (* y (+ (* -1 (/ (pow z 3) (pow x 2))) (* y (- (+ (* -1 (/ (pow z 4) (pow x 3))) (+ (* -1/2 (/ (pow z 2) x)) (* y (+ (* -1 (/ (* z (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) x)) (+ (* -1/2 (/ (pow z 3) (pow x 2))) (* 1/6 (/ (pow z 3) (pow x 2)))))))) (* -1/3 (/ (pow z 2) x)))))) (/ (pow z 2) x)))>
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#<alt (* (pow z 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (* z (+ (* -1 (/ (* z (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 3)))) (* -1 (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2))))))) (* 1/2 (/ 1 (* x (cos y))))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (* z (+ (* -1 (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2)))) (* z (+ (* -1 (/ (* z (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 3) (pow (cos y) 3))))))))) (* 1/2 (/ 1 (* x (cos y))))))>
#<alt (* z (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))>
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#<alt (* z (- (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (+ (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (* z (pow (sin y) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (* (pow z 2) (pow (sin y) 3)))) (* 1/2 (/ 1 (sin y)))))) (+ (* -1/2 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (* -1/2 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))))>
#<alt (* z (- (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (+ (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (* z (pow (sin y) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (* (pow z 2) (pow (sin y) 3)))) (+ (* -1/2 (/ (* (pow x 3) (* (pow (cos y) 3) (cos (* 2 y)))) (* (pow z 3) (pow (sin y) 4)))) (* 1/2 (/ 1 (sin y))))))) (+ (* -1/2 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (* -1/2 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (* -1/2 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4))))))))>
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#<alt (* -1 (* z (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (pow (sin y) 3))) (* 1/2 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) (* -1/2 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin y))))))>
#<alt (* -1 (* z (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (/ (* (pow x 3) (* (pow (cos y) 3) (cos (* 2 y)))) (pow (sin y) 4))) (* -1/2 (/ (* (pow x 3) (pow (cos y) 3)) (pow (sin y) 4)))) z)) (* 1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (pow (sin y) 3)))) (* 1/2 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) (* -1/2 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin y))))))>
#<alt (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))>
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#<alt (- (* x (+ (/ (* x (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 3))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))) (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))))>
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#<alt (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y))))>
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#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (* -1 (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 3))))) x)) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (* -1 (/ (+ (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3)) (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 4)))) x))) x)) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) x))>
#<alt (pow y 2)>
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#<alt (* (pow z 2) (+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))))>
#<alt (* -1 (/ z (sin y)))>
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#<alt (* z (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (+ (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))))>
#<alt (* -1 (/ z (sin y)))>
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#<alt (* -1 (* z (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y)))))>
#<alt (* -1 (* z (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y)))))>
#<alt (* -1 (/ z (sin y)))>
#<alt (+ (* -1 (/ z (sin y))) (* -1 (/ (* x (cos y)) (pow (sin y) 2))))>
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#<alt (+ (* -1 (/ z (sin y))) (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 2) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* z (pow (sin y) 3))))) (/ (cos y) (pow (sin y) 2)))))>
#<alt (/ (pow z 2) (* x (cos y)))>
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#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 5) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (/ (* (pow z 4) (pow (sin y) 2)) (pow (cos y) 3))) x)) (* -1 (/ (* (pow z 3) (sin y)) (pow (cos y) 2)))) x)) (* -1 (/ (pow z 2) (cos y)))) x))>
#<alt (/ (pow z 2) x)>
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#<alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1/2 (/ (pow z 3) (pow x 2))) (+ (* 1/6 (/ (pow z 3) (pow x 2))) (/ (* z (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x)))) x))))) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (* -1 (/ (pow z 3) (pow x 2))))) (/ (pow z 2) x))>
#<alt (/ (pow z 2) (- (* x (cos y)) (* z (sin y))))>
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#<alt (* (pow y 2) (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) x)) (+ (* -1/2 (/ (pow z 3) (pow x 2))) (* 1/6 (/ (pow z 3) (pow x 2))))))) (* -1/3 (/ (pow z 2) x))) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (* -1 (/ (pow z 3) (pow x 2))))) (/ (pow z 2) x)))>
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#<alt (* (pow z 2) (- (+ (* 1/2 (/ 1 (* x (cos y)))) (/ (* z (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 2)))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y))))))>
#<alt (* (pow z 2) (- (+ (* z (- (/ (* z (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2)))))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y))))))>
#<alt (* (pow z 2) (- (+ (* z (- (* z (- (/ (* z (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2)))))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y))))))>
#<alt (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (* z (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y)))))>
#<alt (* z (- (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y)))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))))>
#<alt (* z (- (+ (* -1 (/ (* (pow x 3) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 3) (pow (sin y) 4)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y)))) (+ (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3))))))>
#<alt (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (* -1 (* z (- (+ (* 1/2 (/ 1 (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))>
#<alt (* -1 (* z (- (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 3)))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))>
#<alt (* -1 (* z (- (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))) z)) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))>
#<alt (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))))>
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (- (* -1 (/ (* x (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 3)))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))))>
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (- (* x (- (* -1 (/ (* x (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 4)))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3))))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))>
#<alt (/ (+ (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) x)>
#<alt (/ (- (+ (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))) x)>
#<alt (/ (- (+ (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))))) x)>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))>
#<alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 3))) (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 4)))) (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x))) x))>
Calls

123 calls:

TimeVariablePointExpression
5.0ms
y
@inf
(+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y)))))))
4.0ms
x
@inf
(+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y)))))))
2.0ms
y
@-inf
(+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y)))))))
2.0ms
z
@inf
(+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y)))))))
2.0ms
z
@0
(+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y)))))))

simplify803.0ms (6.1%)

Memory
-2.0MiB live, 531.7MiB allocated
Algorithm
1×egg-herbie
Rules
6 958×lower-fma.f64
6 958×lower-fma.f32
6 916×lower-*.f64
6 916×lower-*.f32
3 768×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103610039
136629877
083809449
Stop Event
1×iter limit
1×node limit
Counts
492 → 480
Calls
Call 1
Inputs
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(* y z)
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(* y z)
(* y (+ z (/ x y)))
(* y (+ z (/ x y)))
(* y (+ z (/ x y)))
(* y z)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* y z)
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
x
(* x (+ 1 (/ (* y z) x)))
(* x (+ 1 (/ (* y z) x)))
(* x (+ 1 (/ (* y z) x)))
x
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(/ 1 (* z (sin y)))
(+ (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y))))
(+ (* x (- (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(+ (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(/ 1 (* x (cos y)))
(/ (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x)
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)
(/ 1 (* x (cos y)))
(* -1 (/ (- (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x))
(/ 1 x)
(+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x))
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ z (pow x 2))) (+ (* 1/2 (/ z (pow x 2))) (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/ 1 (* x (cos y)))
(+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y))))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y))))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y))))
(/ 1 (* z (sin y)))
(/ (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/ (- (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z)
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
(/ 1 (* z (sin y)))
(* -1 (/ (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))) z))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
(- (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)) (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))))
(- (* x (+ (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3))))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))) (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))))
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(* z (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (+ (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))))
(* -1 (/ z (sin y)))
(* -1 (* z (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))))
(* -1 (* z (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y)))))
(* -1 (* z (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y)))))
(* -1 (/ z (sin y)))
(+ (* -1 (/ z (sin y))) (* -1 (/ (* x (cos y)) (pow (sin y) 2))))
(+ (* -1 (/ z (sin y))) (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (cos y) (pow (sin y) 2)))))
(+ (* -1 (/ z (sin y))) (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 2) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* z (pow (sin y) 3))))) (/ (cos y) (pow (sin y) 2)))))
(/ (pow z 2) (* x (cos y)))
(/ (+ (/ (* (pow z 3) (sin y)) (* x (pow (cos y) 2))) (/ (pow z 2) (cos y))) x)
(/ (- (+ (/ (* (pow z 4) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3))) (/ (pow z 2) (cos y))) (* -1 (/ (* (pow z 3) (sin y)) (* x (pow (cos y) 2))))) x)
(/ (- (+ (/ (* (pow z 5) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4))) (/ (pow z 2) (cos y))) (+ (* -1 (/ (* (pow z 3) (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 4) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x)
(/ (pow z 2) (* x (cos y)))
(* -1 (/ (+ (* -1 (/ (* (pow z 3) (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (pow z 2) (cos y)))) x))
(* -1 (/ (+ (* -1 (/ (- (/ (* (pow z 4) (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (* (pow z 3) (sin y)) (pow (cos y) 2)))) x)) (* -1 (/ (pow z 2) (cos y)))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 5) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (/ (* (pow z 4) (pow (sin y) 2)) (pow (cos y) 3))) x)) (* -1 (/ (* (pow z 3) (sin y)) (pow (cos y) 2)))) x)) (* -1 (/ (pow z 2) (cos y)))) x))
(/ (pow z 2) x)
(+ (/ (* y (pow z 3)) (pow x 2)) (/ (pow z 2) x))
(+ (* y (- (* -1 (* y (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (* -1 (/ (pow z 3) (pow x 2))))) (/ (pow z 2) x))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1/2 (/ (pow z 3) (pow x 2))) (+ (* 1/6 (/ (pow z 3) (pow x 2))) (/ (* z (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x)))) x))))) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (* -1 (/ (pow z 3) (pow x 2))))) (/ (pow z 2) x))
(/ (pow z 2) (- (* x (cos y)) (* z (sin y))))
(/ (pow z 2) (- (* x (cos y)) (* z (sin y))))
(/ (pow z 2) (- (* x (cos y)) (* z (sin y))))
(/ (pow z 2) (- (* x (cos y)) (* z (sin y))))
(/ (pow z 2) (- (* x (cos y)) (* z (sin y))))
(/ (pow z 2) (- (* x (cos y)) (* z (sin y))))
(/ (pow z 2) (- (* x (cos y)) (* z (sin y))))
(/ (pow z 2) (- (* x (cos y)) (* z (sin y))))
(/ (* (pow y 2) (pow z 2)) x)
(* (pow y 2) (+ (/ (* y (pow z 3)) (pow x 2)) (/ (pow z 2) x)))
(* (pow y 2) (+ (* y (- (* y (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (* -1 (/ (pow z 3) (pow x 2))))) (/ (pow z 2) x)))
(* (pow y 2) (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) x)) (+ (* -1/2 (/ (pow z 3) (pow x 2))) (* 1/6 (/ (pow z 3) (pow x 2))))))) (* -1/3 (/ (pow z 2) x))) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (* -1 (/ (pow z 3) (pow x 2))))) (/ (pow z 2) x)))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))
(* (pow z 2) (- (+ (* 1/2 (/ 1 (* x (cos y)))) (/ (* z (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 2)))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y))))))
(* (pow z 2) (- (+ (* z (- (/ (* z (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2)))))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y))))))
(* (pow z 2) (- (+ (* z (- (* z (- (/ (* z (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2)))))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y))))))
(* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(* z (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y)))))
(* z (- (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y)))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))))
(* z (- (+ (* -1 (/ (* (pow x 3) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 3) (pow (sin y) 4)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y)))) (+ (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3))))))
(* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(* -1 (* z (- (+ (* 1/2 (/ 1 (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))
(* -1 (* z (- (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 3)))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))
(* -1 (* z (- (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))) z)) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))
(* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (- (* -1 (/ (* x (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 3)))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (- (* x (- (* -1 (/ (* x (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 4)))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3))))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))
(/ (+ (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) x)
(/ (- (+ (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))) x)
(/ (- (+ (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))))) x)
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))) x))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 3))) (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x))) x))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 4)))) (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x))) x))
Outputs
x
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y (+ z (* -1/2 (* x y)))))
(fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z) x)
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal -1/6 binary64))) z) x)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))) (neg.f64 z))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))) (neg.f64 z))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))) (neg.f64 z))
(* z (sin y))
(*.f64 z (sin.f64 y))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (neg.f64 x))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
x
(+ x (* -1/2 (* x (pow y 2))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 x #s(literal -1/2 binary64))) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) (*.f64 x #s(literal -1/2 binary64))) x)
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(* z (sin y))
(*.f64 z (sin.f64 y))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (neg.f64 x))
x
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y (+ z (* -1/2 (* x y)))))
(fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z) x)
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 z z) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (cos.f64 y)) (/.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 (*.f64 (*.f64 (sin.f64 y) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x)))) x)
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 4)))) (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x))) x))
(/.f64 (neg.f64 (fma.f64 (*.f64 z z) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (cos.f64 y)) (/.f64 (neg.f64 (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 (*.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.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))))) x))) (neg.f64 x)))) (neg.f64 x))

rewrite1.1s (8.2%)

Memory
23.3MiB live, 1 519.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 490×lower-/.f32
6 482×lower-/.f64
5 708×lower-*.f32
5 696×lower-*.f64
4 366×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034199
060158
1221138
21625138
09720138
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 3 035
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(sin.f64 y)
(*.f64 x (cos.f64 y))
(cos.f64 y)
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
(fma.f64 z y x)
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y 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 (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(*.f64 z (sin.f64 y))
(/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
Outputs
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))
(+.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (*.f64 z z)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (*.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 x (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))))
(+.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 x (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (*.f64 z z)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) (*.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(+.f64 (*.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64)) (*.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64)) (*.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))) #s(literal 1 binary64)))
(-.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 x (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 x (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (neg.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (/.f64 (pow.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (neg.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
(-.f64 (fma.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 x (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) #s(literal 0 binary64)) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
(-.f64 (/.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 x (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 x (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (neg.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (neg.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (fma.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 x (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
(-.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))))
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 x (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 x (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 x (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))))) (/.f64 (pow.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 x (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 x (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 z z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (/.f64 (pow.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 x (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 z z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))
(fma.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 x (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (*.f64 z z)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (*.f64 z z)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64) (*.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z) (*.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(fma.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64) (*.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64)))
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(*.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (*.f64 z z)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))
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(*.f64 (/.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 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 #s(literal 1 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 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) (-.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 (-.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 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) (+.f64 (cos.f64 (+.f64 y y)) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) (/.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 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) (/.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 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 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))))))) (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 (neg.f64 (*.f64 z z)) #s(literal -1 binary64)) (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))

eval659.0ms (5%)

Memory
30.5MiB live, 1 354.6MiB allocated
Compiler

Compiled 244 929 to 5 808 computations (97.6% saved)

prune481.0ms (3.6%)

Memory
34.4MiB live, 862.3MiB allocated
Pruning

36 alts after pruning (33 fresh and 3 done)

PrunedKeptTotal
New3 697333 730
Fresh808
Picked235
Done000
Total3 707363 743
Accuracy
100.0%
Counts
3 743 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.0%
(fma.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) z) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 z (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) (*.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 x (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))))
66.2%
(fma.f64 (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 x (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
76.9%
(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 (cos.f64 y)) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #s(approx (/ (* z z) (- (* x (cos y)) (* z (sin y)))) (neg.f64 (/.f64 z (sin.f64 y)))))))
✓99.8%
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
45.8%
(/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))
51.1%
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
52.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y z x))))
39.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))))
61.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
33.4%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) z)))
39.3%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
34.0%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (/.f64 z (*.f64 x x))))))
51.4%
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z) x))
▶51.5%
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal -1/6 binary64))) z) x))
86.8%
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))))
39.7%
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 z (sin.f64 y)))
88.7%
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))))
▶32.3%
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (fma.f64 y (fma.f64 y (-.f64 (neg.f64 x) (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) z) x))
▶98.9%
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
61.4%
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
25.7%
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (*.f64 (neg.f64 z) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y)))))
25.8%
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (*.f64 z (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y))))
▶61.3%
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
✓52.9%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
24.7%
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (*.f64 y y))) (-.f64 x (*.f64 y z))))
34.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x))))
✓61.7%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
37.3%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
37.3%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
37.1%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)))))
39.4%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
44.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
42.2%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y (+.f64 z (/.f64 x y)))))
▶16.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))
37.3%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) (*.f64 x #s(literal -1/2 binary64))) x)))
37.4%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 x #s(literal -1/2 binary64))) x)))
Compiler

Compiled 1 337 to 746 computations (44.2% saved)

simplify380.0ms (2.9%)

Memory
-39.7MiB live, 522.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
✓cost-diff0
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
✓cost-diff0
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
✓cost-diff7104
(fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))
✓cost-diff0
(fma.f64 y (fma.f64 y (-.f64 (neg.f64 x) (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) z) x)
✓cost-diff0
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (fma.f64 y (fma.f64 y (-.f64 (neg.f64 x) (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) z) x))
✓cost-diff320
(-.f64 (neg.f64 x) (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x)))
✓cost-diff2304
(-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))
✓cost-diff0
(fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal -1/6 binary64)))
✓cost-diff0
(fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal -1/6 binary64))) z)
✓cost-diff0
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal -1/6 binary64))) z) x)
✓cost-diff0
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal -1/6 binary64))) z) x))
✓cost-diff0
(*.f64 y z)
✓cost-diff0
#s(approx (+ (* z y) x) (*.f64 y z))
✓cost-diff0
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))
✓cost-diff0
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓cost-diff0
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))
✓cost-diff0
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
✓cost-diff13888
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
Rules
14 380×lower-fma.f32
14 362×lower-fma.f64
4 394×lower-*.f32
4 380×lower-*.f64
2 206×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066563
0103556
1224511
2553462
31487462
45209462
08173447
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
x
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
(cos.f64 y)
(/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))
#s(approx (+ (* z y) x) (*.f64 y z))
(*.f64 y z)
y
z
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal -1/6 binary64))) z) x))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal -1/6 binary64))) z) x)
y
(fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal -1/6 binary64))) z)
(fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal -1/6 binary64)))
x
#s(literal -1/2 binary64)
(*.f64 (*.f64 y z) #s(literal -1/6 binary64))
(*.f64 y z)
z
#s(literal -1/6 binary64)
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (fma.f64 y (fma.f64 y (-.f64 (neg.f64 x) (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) z) x))
(fma.f64 y (fma.f64 y (-.f64 (neg.f64 x) (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) z) x)
y
(fma.f64 y (-.f64 (neg.f64 x) (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) z)
(-.f64 (neg.f64 x) (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x)))
(neg.f64 x)
x
(-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))
(fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x))
#s(literal -1/2 binary64)
(/.f64 (*.f64 z z) x)
(*.f64 z z)
z
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
x
(fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))
#s(literal 1/2 binary64)
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
(cos.f64 y)
(/.f64 #s(literal 1/2 binary64) (cos.f64 y))
Outputs
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (fma.f64 (sin.f64 y) (/.f64 z (cos.f64 y)) x)) (cos.f64 y)))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (fma.f64 (sin.f64 y) (/.f64 z (cos.f64 y)) x)) (cos.f64 y))
x
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
(cos.f64 y)
(/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(*.f64 z (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))
#s(approx (+ (* z y) x) (*.f64 y z))
(*.f64 y z)
y
z
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal -1/6 binary64))) z) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal -1/6 binary64))) z) x))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal -1/6 binary64))) z) x)
y
(fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal -1/6 binary64))) z)
(fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal -1/6 binary64)))
x
#s(literal -1/2 binary64)
(*.f64 (*.f64 y z) #s(literal -1/6 binary64))
(*.f64 y z)
z
#s(literal -1/6 binary64)
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (fma.f64 y (fma.f64 y (-.f64 (neg.f64 x) (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) z) x))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) z) x))
(fma.f64 y (fma.f64 y (-.f64 (neg.f64 x) (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) z) x)
(fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) z) x)
y
(fma.f64 y (-.f64 (neg.f64 x) (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) z)
(fma.f64 x (*.f64 y #s(literal -1/2 binary64)) z)
(-.f64 (neg.f64 x) (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x)))
(*.f64 x #s(literal -1/2 binary64))
(neg.f64 x)
x
(-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))
(*.f64 x #s(literal -1/2 binary64))
(fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x))
(fma.f64 z (/.f64 z x) (*.f64 x #s(literal -1/2 binary64)))
#s(literal -1/2 binary64)
(/.f64 (*.f64 z z) x)
(*.f64 z z)
z
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
x
(fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))
#s(literal 1/2 binary64)
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
(cos.f64 y)
(/.f64 #s(literal 1/2 binary64) (cos.f64 y))

localize368.0ms (2.8%)

Memory
-14.5MiB live, 584.2MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
✓accuracy99.6%
(cos.f64 (*.f64 y #s(literal -2 binary64)))
✓accuracy99.3%
(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)))
✓accuracy72.2%
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
✓accuracy100.0%
(fma.f64 y (fma.f64 y (-.f64 (neg.f64 x) (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) z) x)
✓accuracy86.6%
(/.f64 (*.f64 z z) x)
✓accuracy62.5%
(-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))
✓accuracy60.7%
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (fma.f64 y (fma.f64 y (-.f64 (neg.f64 x) (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) z) x))
✓accuracy100.0%
(fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal -1/6 binary64)))
✓accuracy100.0%
(fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal -1/6 binary64))) z)
✓accuracy99.2%
(*.f64 (*.f64 y z) #s(literal -1/6 binary64))
✓accuracy60.6%
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal -1/6 binary64))) z) x))
✓accuracy100.0%
(*.f64 y z)
✓accuracy62.2%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))
✓accuracy50.3%
#s(approx (+ (* z y) x) (*.f64 y z))
✓accuracy99.7%
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
✓accuracy99.7%
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))
✓accuracy99.6%
(cos.f64 (*.f64 y #s(literal -2 binary64)))
✓accuracy99.5%
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
Samples
190.0ms99×1valid
78.0ms130×0valid
17.0ms27×1exit
Compiler

Compiled 489 to 66 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 246.0ms
ival-div: 66.0ms (26.8% of total)
ival-cos: 60.0ms (24.4% of total)
ival-mult: 40.0ms (16.2% of total)
ival-sin: 28.0ms (11.4% of total)
ival-add: 21.0ms (8.5% of total)
adjust: 15.0ms (6.1% of total)
ival-sub: 6.0ms (2.4% of total)
const: 5.0ms (2% of total)
ival-pow2: 3.0ms (1.2% of total)
ival-neg: 2.0ms (0.8% of total)
exact: 1.0ms (0.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series79.0ms (0.6%)

Memory
-1.0MiB live, 116.1MiB allocated
Counts
23 → 612
Calls
Call 1
Inputs
#<alt (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))>
#<alt #s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))>
#<alt (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))>
#<alt (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))>
#<alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))>
#<alt #s(approx (+ (* z y) x) (*.f64 y z))>
#<alt (*.f64 y z)>
#<alt #s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal -1/6 binary64))) z) x))>
#<alt (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal -1/6 binary64))) z) x)>
#<alt (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal -1/6 binary64))) z)>
#<alt (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal -1/6 binary64)))>
#<alt (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))>
#<alt (-.f64 (neg.f64 x) (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x)))>
#<alt #s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (fma.f64 y (fma.f64 y (-.f64 (neg.f64 x) (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) z) x))>
#<alt (fma.f64 y (fma.f64 y (-.f64 (neg.f64 x) (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) z) x)>
#<alt (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))>
#<alt #s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))>
#<alt (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))>
#<alt (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))>
#<alt (cos.f64 (*.f64 y #s(literal -2 binary64)))>
#<alt (pow.f64 (cos.f64 y) #s(literal 2 binary64))>
#<alt (*.f64 (*.f64 y z) #s(literal -1/6 binary64))>
#<alt (/.f64 (*.f64 z z) x)>
Outputs
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))>
#<alt (* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))>
#<alt (* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))>
#<alt (* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))>
#<alt (* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (+ z (* y (- (* -1 x) (* -1/2 x))))))>
#<alt (+ x (* y (+ z (* y (- (+ (* -1 x) (* y (- (* -7/6 z) (* -1 z)))) (* -1/2 x))))))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))>
#<alt (* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))>
#<alt (* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))>
#<alt (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))>
#<alt (- (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)) (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))))>
#<alt (- (* x (+ (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3))))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))) (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))))>
#<alt (- (* x (+ (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))) (+ (* x (- (/ (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (sin y) 4))) (/ (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (sin y) 2))))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))) (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))))>
#<alt (* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* 1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (* x (pow (cos y) 2))))))))>
#<alt (* x (- (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ (* (pow z 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 3)))) (* 1/2 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3))))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))))>
#<alt (* x (- (+ (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 2)))) (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ (* (pow z 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 3)))) (+ (* 1/2 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (+ (* 1/2 (/ (* (pow z 3) (* (cos (* 2 y)) (pow (sin y) 3))) (* (pow x 3) (pow (cos y) 4)))) (* 1/2 (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))))))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))))>
#<alt (* -1 (* x (- (* -1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (+ (* 1/2 (/ (* z (sin y)) (pow (cos y) 2))) (* 1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (pow (cos y) 2)))) x)) (* -1/2 (/ (cos (* 2 y)) (cos y)))) (* 1/2 (/ 1 (cos y))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1/2 (/ (* (pow z 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* -1/2 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3)))) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) x)) (+ (* 1/2 (/ (* z (sin y)) (pow (cos y) 2))) (* 1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) x)) (* -1/2 (/ (cos (* 2 y)) (cos y)))) (* 1/2 (/ 1 (cos y))))))>
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#<alt (* x (- (+ (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 2)))) (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ (* (pow z 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 3)))) (+ (* 1/2 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (+ (* 1/2 (/ (* (pow z 3) (* (cos (* 2 y)) (pow (sin y) 3))) (* (pow x 3) (pow (cos y) 4)))) (* 1/2 (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))))))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))))>
#<alt (* -1 (* x (- (* -1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (+ (* 1/2 (/ (* z (sin y)) (pow (cos y) 2))) (* 1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (pow (cos y) 2)))) x)) (* -1/2 (/ (cos (* 2 y)) (cos y)))) (* 1/2 (/ 1 (cos y))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1/2 (/ (* (pow z 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* -1/2 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3)))) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) x)) (+ (* 1/2 (/ (* z (sin y)) (pow (cos y) 2))) (* 1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) x)) (* -1/2 (/ (cos (* 2 y)) (cos y)))) (* 1/2 (/ 1 (cos y))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (+ (* 1/2 (/ (* (pow z 3) (* (cos (* 2 y)) (pow (sin y) 3))) (pow (cos y) 4))) (* 1/2 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 4))))) x)) (+ (* -1/2 (/ (* (pow z 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* -1/2 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))))) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) x)) (+ (* 1/2 (/ (* z (sin y)) (pow (cos y) 2))) (* 1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) x)) (* -1/2 (/ (cos (* 2 y)) (cos y)))) (* 1/2 (/ 1 (cos y))))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (- (* y (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 z))))>
#<alt (+ x (* y (- (* y (- (+ (* -1 x) (* y (- (* -1 (/ (pow z 3) (pow x 2))) (+ (* -1 (/ (* z (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x)) (+ (* -1/2 z) (* 1/6 z)))))) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 z))))>
#<alt (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y)))))>
#<alt (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y)))))>
#<alt (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y)))))>
#<alt (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y)))))>
#<alt (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y)))))>
#<alt (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y)))))>
#<alt (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y)))))>
#<alt (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y)))))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))>
#<alt (+ (* z (- (* z (- (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))) (* 1/2 (/ 1 (* x (cos y))))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (+ (* z (- (* z (- (+ (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (* z (- (* -1 (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2)))) (* -1 (/ (* (pow (sin y) 3) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 4))))))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))) (* 1/2 (/ 1 (* x (cos y))))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (* z (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))>
#<alt (* z (- (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (+ (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (* z (pow (sin y) 2)))) (* 1/2 (/ 1 (sin y))))) (* -1/2 (/ (* x (cos y)) (* z (pow (sin y) 2))))))>
#<alt (* z (- (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y)))) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (+ (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (* z (pow (sin y) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (* (pow z 2) (pow (sin y) 3)))) (* 1/2 (/ 1 (sin y))))))) (+ (* -1/2 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (* -1/2 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))))>
#<alt (* z (- (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y)))) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (+ (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (* z (pow (sin y) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (* (pow z 2) (pow (sin y) 3)))) (+ (* -1/2 (/ (* (pow x 3) (* (pow (cos y) 3) (cos (* 2 y)))) (* (pow z 3) (pow (sin y) 4)))) (* 1/2 (/ 1 (sin y)))))))) (+ (* -1/2 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (* -1/2 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (* -1/2 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (/ (* (pow x 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 3) (pow (sin y) 2))))))))>
#<alt (* -1 (* z (- (* 1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))>
#<alt (* -1 (* z (- (+ (* -1 (/ (- (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (pow (sin y) 2))) (* -1/2 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin y))))))>
#<alt (* -1 (* z (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (pow (sin y) 3))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* 1/2 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) (* -1/2 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin y))))))>
#<alt (* -1 (* z (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (/ (* (pow x 3) (* (pow (cos y) 3) (cos (* 2 y)))) (pow (sin y) 4))) (+ (* -1/2 (/ (* (pow x 3) (pow (cos y) 3)) (pow (sin y) 4))) (/ (* (pow x 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)) (+ (* 1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (pow (sin y) 3))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))) (* 1/2 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) (* -1/2 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin y))))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt x>
#<alt (+ x (* -1/2 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt 1>
#<alt (+ 1 (* -3/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* -1/8 (pow y 2)) 3/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (- (* -7/80 (pow y 2)) 1/8)) 3/2)))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt 1>
#<alt (+ 1 (* -2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (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 (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
Calls

153 calls:

TimeVariablePointExpression
9.0ms
y
@-inf
(+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (pow (cos y) 2)))
2.0ms
y
@inf
(+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (pow (cos y) 2)))
2.0ms
y
@inf
(+ (* y (+ (* y (+ (* x -1/2) (* (* y z) -1/6))) z)) x)
2.0ms
x
@0
(+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (pow (cos y) 2)))
2.0ms
x
@0
(* x (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))))

simplify475.0ms (3.6%)

Memory
18.1MiB live, 805.3MiB allocated
Algorithm
1×egg-herbie
Rules
10 454×lower-fma.f64
10 454×lower-fma.f32
7 468×lower-*.f64
7 468×lower-*.f32
3 960×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071112176
1246011697
0846911030
Stop Event
1×iter limit
1×node limit
Counts
612 → 598
Calls
Call 1
Inputs
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))
x
(+ x (* y z))
(+ x (* y (+ z (* y (- (* -1 x) (* -1/2 x))))))
(+ x (* y (+ z (* y (- (+ (* -1 x) (* y (- (* -7/6 z) (* -1 z)))) (* -1/2 x))))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))
(* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))
(* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))
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(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1/2 (/ (* (pow z 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* -1/2 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3)))) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) x)) (+ (* 1/2 (/ (* z (sin y)) (pow (cos y) 2))) (* 1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) x)) (* -1/2 (/ (cos (* 2 y)) (cos y)))) (* 1/2 (/ 1 (cos y))))))
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (+ (* 1/2 (/ (* (pow z 3) (* (cos (* 2 y)) (pow (sin y) 3))) (pow (cos y) 4))) (* 1/2 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 4))))) x)) (+ (* -1/2 (/ (* (pow z 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* -1/2 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))))) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) x)) (+ (* 1/2 (/ (* z (sin y)) (pow (cos y) 2))) (* 1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) x)) (* -1/2 (/ (cos (* 2 y)) (cos y)))) (* 1/2 (/ 1 (cos y))))))
x
(+ x (* y z))
(+ x (* y (- (* y (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 z))))
(+ x (* y (- (* y (- (+ (* -1 x) (* y (- (* -1 (/ (pow z 3) (pow x 2))) (+ (* -1 (/ (* z (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x)) (+ (* -1/2 z) (* 1/6 z)))))) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 z))))
(- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y)))))
(- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y)))))
(- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y)))))
(- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y)))))
(- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y)))))
(- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y)))))
(- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y)))))
(- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y)))))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+ (* z (- (* z (- (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))) (* 1/2 (/ 1 (* x (cos y))))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+ (* z (- (* z (- (+ (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (* z (- (* -1 (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2)))) (* -1 (/ (* (pow (sin y) 3) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 4))))))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))) (* 1/2 (/ 1 (* x (cos y))))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(* z (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))
(* z (- (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (+ (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (* z (pow (sin y) 2)))) (* 1/2 (/ 1 (sin y))))) (* -1/2 (/ (* x (cos y)) (* z (pow (sin y) 2))))))
(* z (- (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y)))) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (+ (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (* z (pow (sin y) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (* (pow z 2) (pow (sin y) 3)))) (* 1/2 (/ 1 (sin y))))))) (+ (* -1/2 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (* -1/2 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))))
(* z (- (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y)))) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (+ (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (* z (pow (sin y) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (* (pow z 2) (pow (sin y) 3)))) (+ (* -1/2 (/ (* (pow x 3) (* (pow (cos y) 3) (cos (* 2 y)))) (* (pow z 3) (pow (sin y) 4)))) (* 1/2 (/ 1 (sin y)))))))) (+ (* -1/2 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (* -1/2 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (* -1/2 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (/ (* (pow x 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 3) (pow (sin y) 2))))))))
(* -1 (* z (- (* 1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))
(* -1 (* z (- (+ (* -1 (/ (- (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (pow (sin y) 2))) (* -1/2 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin y))))))
(* -1 (* z (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (pow (sin y) 3))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* 1/2 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) (* -1/2 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin y))))))
(* -1 (* z (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (/ (* (pow x 3) (* (pow (cos y) 3) (cos (* 2 y)))) (pow (sin y) 4))) (+ (* -1/2 (/ (* (pow x 3) (pow (cos y) 3)) (pow (sin y) 4))) (/ (* (pow x 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)) (+ (* 1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (pow (sin y) 3))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))) (* 1/2 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) (* -1/2 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin y))))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
1
(+ 1 (* -3/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* -1/8 (pow y 2)) 3/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (* -7/80 (pow y 2)) 1/8)) 3/2)))
(/ (cos (* -2 y)) (cos y))
(/ (cos (* -2 y)) (cos y))
(/ (cos (* -2 y)) (cos y))
(/ (cos (* -2 y)) (cos y))
(/ (cos (* -2 y)) (cos y))
(/ (cos (* -2 y)) (cos y))
(/ (cos (* -2 y)) (cos y))
(/ (cos (* -2 y)) (cos y))
1
(+ 1 (* -2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
Outputs
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(*.f64 z (*.f64 (sin.f64 y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(fma.f64 (*.f64 z (sin.f64 y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
(+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(fma.f64 (*.f64 z (sin.f64 y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
(+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(fma.f64 (*.f64 z (sin.f64 y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))
(*.f64 x (fma.f64 z (/.f64 (*.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 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))
(*.f64 x (fma.f64 z (/.f64 (*.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 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))
(*.f64 x (fma.f64 z (/.f64 (*.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 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (*.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 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (*.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 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (*.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 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (cos.f64 y))) (neg.f64 x))
x
(+ x (* y z))
(fma.f64 z y x)
(+ x (* y (+ z (* y (- (* -1 x) (* -1/2 x))))))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x)
(+ x (* y (+ z (* y (- (+ (* -1 x) (* y (- (* -7/6 z) (* -1 z)))) (* -1/2 x))))))
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) z) x)
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(fma.f64 z (*.f64 (sin.f64 y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(fma.f64 z (*.f64 (sin.f64 y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
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(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
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x
(+ x (* -1/2 (* x (pow y 2))))
(fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/24 binary64)))) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 y (*.f64 y x)))) (*.f64 x #s(literal -1/2 binary64))) x)
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
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(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
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(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
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(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
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1
#s(literal 1 binary64)
(+ 1 (* -3/2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -3/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* -1/8 (pow y 2)) 3/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) #s(literal -3/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (* -7/80 (pow y 2)) 1/8)) 3/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -7/80 binary64) #s(literal -1/8 binary64)) #s(literal -3/2 binary64)) #s(literal 1 binary64))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/ (cos (* -2 y)) (cos y))
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(/ (cos (* -2 y)) (cos y))
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(/ (cos (* -2 y)) (cos y))
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(/ (cos (* -2 y)) (cos y))
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(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
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(cos (* -2 y))
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(cos (* -2 y))
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(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(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 y (*.f64 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))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow (cos y) 2)
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(pow (cos y) 2)
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(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(* -1/6 (* y z))
(*.f64 (*.f64 z y) #s(literal -1/6 binary64))
(* -1/6 (* y z))
(*.f64 (*.f64 z y) #s(literal -1/6 binary64))
(* -1/6 (* y z))
(*.f64 (*.f64 z y) #s(literal -1/6 binary64))
(* -1/6 (* y z))
(*.f64 (*.f64 z y) #s(literal -1/6 binary64))
(* -1/6 (* y z))
(*.f64 (*.f64 z y) #s(literal -1/6 binary64))
(* -1/6 (* y z))
(*.f64 (*.f64 z y) #s(literal -1/6 binary64))
(* -1/6 (* y z))
(*.f64 (*.f64 z y) #s(literal -1/6 binary64))
(* -1/6 (* y z))
(*.f64 (*.f64 z y) #s(literal -1/6 binary64))
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(*.f64 (*.f64 z y) #s(literal -1/6 binary64))
(* -1/6 (* y z))
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(* -1/6 (* y z))
(*.f64 (*.f64 z y) #s(literal -1/6 binary64))
(* -1/6 (* y z))
(*.f64 (*.f64 z y) #s(literal -1/6 binary64))
(* -1/6 (* y z))
(*.f64 (*.f64 z y) #s(literal -1/6 binary64))
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(*.f64 (*.f64 z y) #s(literal -1/6 binary64))
(* -1/6 (* y z))
(*.f64 (*.f64 z y) #s(literal -1/6 binary64))
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(*.f64 (*.f64 z y) #s(literal -1/6 binary64))
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(*.f64 (*.f64 z y) #s(literal -1/6 binary64))
(* -1/6 (* y z))
(*.f64 (*.f64 z y) #s(literal -1/6 binary64))
(* -1/6 (* y z))
(*.f64 (*.f64 z y) #s(literal -1/6 binary64))
(* -1/6 (* y z))
(*.f64 (*.f64 z y) #s(literal -1/6 binary64))
(* -1/6 (* y z))
(*.f64 (*.f64 z y) #s(literal -1/6 binary64))
(* -1/6 (* y z))
(*.f64 (*.f64 z y) #s(literal -1/6 binary64))
(* -1/6 (* y z))
(*.f64 (*.f64 z y) #s(literal -1/6 binary64))
(* -1/6 (* y z))
(*.f64 (*.f64 z y) #s(literal -1/6 binary64))
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
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(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)

rewrite518.0ms (3.9%)

Memory
0.0MiB live, 516.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 042×lower-*.f32
5 028×lower-*.f64
4 648×lower-fma.f32
4 630×lower-fma.f64
3 382×lower-pow.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066453
0103446
1473302
24300302
08569291
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 398
Calls
Call 1
Inputs
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))
#s(approx (+ (* z y) x) (*.f64 y z))
(*.f64 y z)
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal -1/6 binary64))) z) x))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal -1/6 binary64))) z) x)
(fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal -1/6 binary64))) z)
(fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal -1/6 binary64)))
(-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))
(-.f64 (neg.f64 x) (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x)))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (fma.f64 y (fma.f64 y (-.f64 (neg.f64 x) (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) z) x))
(fma.f64 y (fma.f64 y (-.f64 (neg.f64 x) (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) z) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(*.f64 (*.f64 y z) #s(literal -1/6 binary64))
(/.f64 (*.f64 z z) x)
Outputs
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(+.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) x (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (pow.f64 (/.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal -1 binary64)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(fma.f64 z (*.f64 (sin.f64 y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(fma.f64 z (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(fma.f64 z (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(fma.f64 (sin.f64 y) (*.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(fma.f64 (*.f64 z (sin.f64 y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (pow.f64 (/.f64 (cos.f64 y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y)))) #s(literal -1 binary64)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y)))) #s(literal -1 binary64)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(fma.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 z (sin.f64 y)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(fma.f64 (/.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(fma.f64 (/.f64 z (cos.f64 y)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (cos.f64 y)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(fma.f64 (pow.f64 (/.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(fma.f64 (pow.f64 (/.f64 (cos.f64 y) z) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))) #s(literal -1 binary64)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) (pow.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (-.f64 (pow.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
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(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 (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)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)))))))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cos.f64 y)))
(*.f64 (cos.f64 y) (cos.f64 y))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 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 #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 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (+.f64 (cos.f64 (+.f64 y y)) #s(literal 1 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))))))) (-.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 1/4 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 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #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 (pow.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 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))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) #s(literal 1 binary64)) (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 (pow.f64 (+.f64 (cos.f64 (+.f64 y y)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.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)))))))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
(*.f64 (pow.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 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.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)) #s(literal 1 binary64)))
(*.f64 y (*.f64 z #s(literal -1/6 binary64)))
(*.f64 z (*.f64 y #s(literal -1/6 binary64)))
(*.f64 (*.f64 y z) #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 y z))
(*.f64 (*.f64 z #s(literal -1/6 binary64)) y)
(*.f64 (*.f64 #s(literal -1/6 binary64) y) z)
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 z z))) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (/.f64 (*.f64 z z) x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 z z)) #s(literal 1 binary64)))
(/.f64 (*.f64 z z) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 z z))))
(/.f64 (neg.f64 (*.f64 z z)) (neg.f64 x))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (neg.f64 (*.f64 z z))) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 (neg.f64 (*.f64 z z)) #s(literal -1 binary64)) x)
(pow.f64 (/.f64 x (*.f64 z z)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (*.f64 z z)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 z (/.f64 z x))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) x))
(*.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z z))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)))
(*.f64 (/.f64 z x) z)

eval298.0ms (2.2%)

Memory
10.3MiB live, 322.4MiB allocated
Compiler

Compiled 33 496 to 2 138 computations (93.6% saved)

prune276.0ms (2.1%)

Memory
6.0MiB live, 276.6MiB allocated
Pruning

45 alts after pruning (39 fresh and 6 done)

PrunedKeptTotal
New1 098231 121
Fresh121628
Picked235
Done033
Total1 112451 157
Accuracy
100.0%
Counts
1 157 → 45
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.9%
(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 (cos.f64 y)) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #s(approx (/ (* z z) (- (* x (cos y)) (* z (sin y)))) (neg.f64 (/.f64 z (sin.f64 y)))))))
✓99.8%
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
51.1%
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
39.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))))
61.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
33.4%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) z)))
39.3%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
34.0%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (/.f64 z (*.f64 x x))))))
51.0%
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal -1/6 binary64)))) y (fma.f64 y z x)))
51.4%
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z) x))
▶51.8%
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y #s(approx (+ (* x -1/2) (* (* y z) -1/6)) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x))
37.3%
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y #s(approx (+ (* y (+ (* x -1/2) (* (* y z) -1/6))) z) (*.f64 z (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) x))
▶86.8%
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))))
39.7%
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 z (sin.f64 y)))
88.7%
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))))
16.5%
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) #s(approx (+ (* y (+ (* y (+ (* x -1/2) (* (* y z) -1/6))) z)) x) (*.f64 z (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y))))
3.0%
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) #s(approx (+ (* y (+ (* y (+ (* x -1/2) (* (* y z) -1/6))) z)) x) (*.f64 z (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))))
61.4%
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (fma.f64 (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (*.f64 x #s(literal 1/2 binary64)) (/.f64 x (*.f64 (cos.f64 y) #s(literal 2 binary64)))))
▶98.8%
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (fma.f64 (/.f64 z (cos.f64 y)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (cos.f64 y)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))))
61.3%
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) x (*.f64 x (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))))
42.0%
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (fma.f64 y (fma.f64 y (/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64)))) (+.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64)) (neg.f64 x))) z) x))
✓32.3%
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (fma.f64 y (fma.f64 y (-.f64 (neg.f64 x) (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) z) x))
76.2%
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (fma.f64 x #s(approx (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y)) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
25.8%
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (/.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y)))
61.4%
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
51.4%
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (+.f64 (*.f64 y (fma.f64 y (-.f64 (neg.f64 x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64))) z)) x))
61.4%
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (*.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) x))
✓61.3%
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
37.3%
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (*.f64 x #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
37.3%
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (*.f64 x #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
37.1%
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (*.f64 x #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
▶39.4%
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (*.f64 x #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))))
8.3%
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) #s(approx (+ (* y (+ (* y (- (neg x) (- (+ (* x -1/2) (/ (* z z) x)) (/ (* z z) x)))) z)) x) (*.f64 (*.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (/.f64 z y)))))
2.9%
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) #s(approx (+ (* y (+ (* y (- (neg x) (- (+ (* x -1/2) (/ (* z z) x)) (/ (* z z) x)))) z)) x) (*.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))))))
39.1%
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) #s(approx (+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (pow (cos y) 2))) (*.f64 z (*.f64 (sin.f64 y) (/.f64 (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)))))))
37.3%
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) #s(approx (* x (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 y (*.f64 y x)))) (*.f64 x #s(literal -1/2 binary64))) x)))
37.4%
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) #s(approx (* x (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/24 binary64)))) x)))
✓52.9%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
▶24.7%
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (*.f64 y y))) (-.f64 x (*.f64 y z))))
34.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x))))
✓61.7%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
44.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 y (*.f64 (/.f64 z x) x) x)))
44.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
42.2%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y (+.f64 z (/.f64 x y)))))
✓16.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))
Compiler

Compiled 1 489 to 850 computations (42.9% saved)

simplify626.0ms (4.7%)

Memory
-15.0MiB live, 810.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (cos.f64 y) z)
✓cost-diff0
(fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))
✓cost-diff0
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))))
✓cost-diff704
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (*.f64 y y))) (-.f64 x (*.f64 y z))))
✓cost-diff256
(-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (*.f64 y y)))
✓cost-diff2048
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (*.f64 y y))) (-.f64 x (*.f64 y z)))
✓cost-diff0
#s(approx (+ (* x -1/2) (* (* y z) -1/6)) (*.f64 (*.f64 z y) #s(literal -1/6 binary64)))
✓cost-diff0
(fma.f64 y #s(approx (+ (* x -1/2) (* (* y z) -1/6)) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z)
✓cost-diff0
(fma.f64 y (fma.f64 y #s(approx (+ (* x -1/2) (* (* y z) -1/6)) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x)
✓cost-diff0
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y #s(approx (+ (* x -1/2) (* (* y z) -1/6)) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x))
✓cost-diff0
#s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))
✓cost-diff0
(*.f64 x #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64)))
✓cost-diff0
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (*.f64 x #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))))
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(/.f64 z (cos.f64 y))
✓cost-diff0
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (fma.f64 (/.f64 z (cos.f64 y)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (cos.f64 y)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))))
✓cost-diff14528
(fma.f64 (/.f64 z (cos.f64 y)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (cos.f64 y)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
Rules
15 932×lower-fma.f32
15 922×lower-fma.f64
4 636×lower-*.f32
4 612×lower-*.f64
2 466×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073515
0107504
1229504
2477478
31162451
43139443
57894443
08222425
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (fma.f64 (/.f64 z (cos.f64 y)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (cos.f64 y)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))))
(fma.f64 (/.f64 z (cos.f64 y)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (cos.f64 y)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(/.f64 z (cos.f64 y))
z
(cos.f64 y)
y
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (cos.f64 y))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
#s(literal -2 binary64)
(sin.f64 y)
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
x
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (*.f64 x #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))))
(*.f64 x #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64)))
x
#s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y #s(approx (+ (* x -1/2) (* (* y z) -1/6)) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x))
(fma.f64 y (fma.f64 y #s(approx (+ (* x -1/2) (* (* y z) -1/6)) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x)
y
(fma.f64 y #s(approx (+ (* x -1/2) (* (* y z) -1/6)) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z)
#s(approx (+ (* x -1/2) (* (* y z) -1/6)) (*.f64 (*.f64 z y) #s(literal -1/6 binary64)))
(*.f64 (*.f64 z y) #s(literal -1/6 binary64))
(*.f64 z y)
z
#s(literal -1/6 binary64)
x
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (*.f64 y y))) (-.f64 x (*.f64 y z))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (*.f64 y y))) (-.f64 x (*.f64 y z)))
(-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (*.f64 y y)))
(*.f64 x x)
x
(*.f64 (*.f64 z z) (*.f64 y y))
(*.f64 z z)
z
(*.f64 y y)
y
(-.f64 x (*.f64 y z))
(*.f64 y z)
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
z
(fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))
x
(/.f64 (cos.f64 y) z)
(cos.f64 y)
y
(sin.f64 y)
Outputs
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (fma.f64 (/.f64 z (cos.f64 y)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (cos.f64 y)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (fma.f64 (/.f64 z (cos.f64 y)) (sin.f64 y) x)) (cos.f64 y)))
(fma.f64 (/.f64 z (cos.f64 y)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (cos.f64 y)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (fma.f64 (/.f64 z (cos.f64 y)) (sin.f64 y) x)) (cos.f64 y))
(/.f64 z (cos.f64 y))
z
(cos.f64 y)
y
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (cos.f64 y))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (cos.f64 y)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
#s(literal -2 binary64)
(sin.f64 y)
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
x
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (*.f64 x #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))))
(*.f64 x #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64)))
x
#s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y #s(approx (+ (* x -1/2) (* (* y z) -1/6)) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y #s(approx (+ (* x -1/2) (* (* y z) -1/6)) (*.f64 #s(literal -1/6 binary64) (*.f64 y z))) z) x))
(fma.f64 y (fma.f64 y #s(approx (+ (* x -1/2) (* (* y z) -1/6)) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x)
(fma.f64 y (fma.f64 y #s(approx (+ (* x -1/2) (* (* y z) -1/6)) (*.f64 #s(literal -1/6 binary64) (*.f64 y z))) z) x)
y
(fma.f64 y #s(approx (+ (* x -1/2) (* (* y z) -1/6)) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z)
(fma.f64 y #s(approx (+ (* x -1/2) (* (* y z) -1/6)) (*.f64 #s(literal -1/6 binary64) (*.f64 y z))) z)
#s(approx (+ (* x -1/2) (* (* y z) -1/6)) (*.f64 (*.f64 z y) #s(literal -1/6 binary64)))
#s(approx (+ (* x -1/2) (* (* y z) -1/6)) (*.f64 #s(literal -1/6 binary64) (*.f64 y z)))
(*.f64 (*.f64 z y) #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 y z))
(*.f64 z y)
(*.f64 y z)
z
#s(literal -1/6 binary64)
x
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (*.f64 y y))) (-.f64 x (*.f64 y z))))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y z x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (*.f64 y y))) (-.f64 x (*.f64 y z)))
(fma.f64 y z x)
(-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (*.f64 y y)))
(*.f64 (fma.f64 y (neg.f64 z) x) (fma.f64 y z x))
(*.f64 x x)
x
(*.f64 (*.f64 z z) (*.f64 y y))
(*.f64 y (*.f64 y (*.f64 z z)))
(*.f64 z z)
z
(*.f64 y y)
y
(-.f64 x (*.f64 y z))
(fma.f64 y (neg.f64 z) x)
(*.f64 y z)
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
z
(fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))
x
(/.f64 (cos.f64 y) z)
(cos.f64 y)
y
(sin.f64 y)

localize294.0ms (2.2%)

Memory
-5.9MiB live, 599.5MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cos.f64 y)
✓accuracy99.8%
(/.f64 (cos.f64 y) z)
✓accuracy99.8%
(fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))
✓accuracy86.9%
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
✓accuracy95.4%
(-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (*.f64 y y)))
✓accuracy73.0%
(*.f64 (*.f64 z z) (*.f64 y y))
✓accuracy52.9%
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (*.f64 y y))) (-.f64 x (*.f64 y z))))
✓accuracy50.1%
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (*.f64 y y))) (-.f64 x (*.f64 y z)))
✓accuracy100.0%
(fma.f64 y #s(approx (+ (* x -1/2) (* (* y z) -1/6)) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z)
✓accuracy99.1%
(*.f64 (*.f64 z y) #s(literal -1/6 binary64))
✓accuracy51.5%
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y #s(approx (+ (* x -1/2) (* (* y z) -1/6)) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x))
✓accuracy50.2%
#s(approx (+ (* x -1/2) (* (* y z) -1/6)) (*.f64 (*.f64 z y) #s(literal -1/6 binary64)))
✓accuracy99.8%
(*.f64 x #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64)))
✓accuracy61.8%
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (*.f64 x #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))))
✓accuracy55.4%
#s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))
✓accuracy99.8%
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
✓accuracy99.6%
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (cos.f64 y))
✓accuracy99.6%
(cos.f64 (*.f64 y #s(literal -2 binary64)))
✓accuracy99.5%
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
Samples
143.0ms191×0valid
80.0ms65×1valid
Compiler

Compiled 407 to 67 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 194.0ms
ival-mult: 74.0ms (38.1% of total)
ival-cos: 38.0ms (19.6% of total)
ival-div: 21.0ms (10.8% of total)
ival-sub: 16.0ms (8.2% of total)
ival-add: 16.0ms (8.2% of total)
ival-sin: 15.0ms (7.7% of total)
adjust: 7.0ms (3.6% of total)
const: 4.0ms (2.1% of total)
ival-neg: 1.0ms (0.5% of total)
exact: 1.0ms (0.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series81.0ms (0.6%)

Memory
19.1MiB live, 99.6MiB allocated
Counts
25 → 684
Calls
Call 1
Inputs
#<alt (fma.f64 (/.f64 z (cos.f64 y)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (cos.f64 y)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))>
#<alt #s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (fma.f64 (/.f64 z (cos.f64 y)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (cos.f64 y)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))))>
#<alt (/.f64 z (cos.f64 y))>
#<alt (cos.f64 y)>
#<alt #s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (*.f64 x #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))))>
#<alt (*.f64 x #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64)))>
#<alt #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))>
#<alt #s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y #s(approx (+ (* x -1/2) (* (* y z) -1/6)) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x))>
#<alt (fma.f64 y (fma.f64 y #s(approx (+ (* x -1/2) (* (* y z) -1/6)) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x)>
#<alt (fma.f64 y #s(approx (+ (* x -1/2) (* (* y z) -1/6)) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z)>
#<alt #s(approx (+ (* x -1/2) (* (* y z) -1/6)) (*.f64 (*.f64 z y) #s(literal -1/6 binary64)))>
#<alt (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (*.f64 y y))) (-.f64 x (*.f64 y z)))>
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#<alt x>
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#<alt (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y)))))>
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#<alt (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y)))))>
#<alt (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y)))))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
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#<alt (* x (- (* -1/6 (/ (* y z) x)) 1/2))>
#<alt (* x (- (* -1/6 (/ (* y z) x)) 1/2))>
#<alt (* -1/2 x)>
#<alt (* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x)))))>
#<alt (* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x)))))>
#<alt (* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x)))))>
#<alt (* -1/2 x)>
#<alt (+ (* -1/2 x) (* -1/6 (* y z)))>
#<alt (+ (* -1/2 x) (* -1/6 (* y z)))>
#<alt (+ (* -1/2 x) (* -1/6 (* y z)))>
#<alt (* -1/6 (* y z))>
#<alt (* y (+ (* -1/2 (/ x y)) (* -1/6 z)))>
#<alt (* y (+ (* -1/2 (/ x y)) (* -1/6 z)))>
#<alt (* y (+ (* -1/2 (/ x y)) (* -1/6 z)))>
#<alt (* -1/6 (* y z))>
#<alt (* -1 (* y (+ (* 1/6 z) (* 1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* 1/6 z) (* 1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* 1/6 z) (* 1/2 (/ x y)))))>
#<alt (* -1/2 x)>
#<alt (+ (* -1/2 x) (* -1/6 (* y z)))>
#<alt (+ (* -1/2 x) (* -1/6 (* y z)))>
#<alt (+ (* -1/2 x) (* -1/6 (* y z)))>
#<alt (* -1/6 (* y z))>
#<alt (* z (+ (* -1/2 (/ x z)) (* -1/6 y)))>
#<alt (* z (+ (* -1/2 (/ x z)) (* -1/6 y)))>
#<alt (* z (+ (* -1/2 (/ x z)) (* -1/6 y)))>
#<alt (* -1/6 (* y z))>
#<alt (* -1 (* z (+ (* 1/6 y) (* 1/2 (/ x z)))))>
#<alt (* -1 (* z (+ (* 1/6 y) (* 1/2 (/ x z)))))>
#<alt (* -1 (* z (+ (* 1/6 y) (* 1/2 (/ x z)))))>
#<alt (* y z)>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt x>
#<alt (* x (+ 1 (/ (* y z) x)))>
#<alt (* x (+ 1 (/ (* y z) x)))>
#<alt (* x (+ 1 (/ (* y z) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1)))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (* y z)>
#<alt (* z (+ y (/ x z)))>
#<alt (* z (+ y (/ x z)))>
#<alt (* z (+ y (/ x z)))>
#<alt (* y z)>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (* y z)>
#<alt (* y (+ z (/ x y)))>
#<alt (* y (+ z (/ x y)))>
#<alt (* y (+ z (/ x y)))>
#<alt (* y z)>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))>
#<alt (* -1 (* (pow y 2) (pow z 2)))>
#<alt (- (pow x 2) (* (pow y 2) (pow z 2)))>
#<alt (- (pow x 2) (* (pow y 2) (pow z 2)))>
#<alt (- (pow x 2) (* (pow y 2) (pow z 2)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (+ (* -1 (* (pow y 2) (pow z 2))) (pow x 2))>
#<alt (+ (* -1 (* (pow y 2) (pow z 2))) (pow x 2))>
#<alt (+ (* -1 (* (pow y 2) (pow z 2))) (pow x 2))>
#<alt (* -1 (* (pow y 2) (pow z 2)))>
#<alt (* (pow z 2) (- (/ (pow x 2) (pow z 2)) (pow y 2)))>
#<alt (* (pow z 2) (- (/ (pow x 2) (pow z 2)) (pow y 2)))>
#<alt (* (pow z 2) (- (/ (pow x 2) (pow z 2)) (pow y 2)))>
#<alt (* -1 (* (pow y 2) (pow z 2)))>
#<alt (* (pow z 2) (- (/ (pow x 2) (pow z 2)) (pow y 2)))>
#<alt (* (pow z 2) (- (/ (pow x 2) (pow z 2)) (pow y 2)))>
#<alt (* (pow z 2) (- (/ (pow x 2) (pow z 2)) (pow y 2)))>
#<alt (pow x 2)>
#<alt (+ (* -1 (* (pow y 2) (pow z 2))) (pow x 2))>
#<alt (+ (* -1 (* (pow y 2) (pow z 2))) (pow x 2))>
#<alt (+ (* -1 (* (pow y 2) (pow z 2))) (pow x 2))>
#<alt (* -1 (* (pow y 2) (pow z 2)))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) (pow z 2)))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) (pow z 2)))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) (pow z 2)))>
#<alt (* -1 (* (pow y 2) (pow z 2)))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) (pow z 2)))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) (pow z 2)))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) (pow z 2)))>
#<alt (* z (sin y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (sin y))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* x (cos y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (sin y))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* z (sin y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (sin y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (sin y))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (sin y)>
#<alt (+ (sin y) (/ (* x (cos y)) z))>
#<alt (+ (sin y) (/ (* x (cos y)) z))>
#<alt (+ (sin y) (/ (* x (cos y)) z))>
#<alt (/ (* x (cos y)) z)>
#<alt (* x (+ (/ (cos y) z) (/ (sin y) x)))>
#<alt (* x (+ (/ (cos y) z) (/ (sin y) x)))>
#<alt (* x (+ (/ (cos y) z) (/ (sin y) x)))>
#<alt (/ (* x (cos y)) z)>
#<alt (* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))>
#<alt (* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))>
#<alt (* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))>
#<alt (/ x z)>
#<alt (+ y (/ x z))>
#<alt (+ (* y (+ 1 (* -1/2 (/ (* x y) z)))) (/ x z))>
#<alt (+ (* y (+ 1 (* y (+ (* -1/2 (/ x z)) (* -1/6 y))))) (/ x z))>
#<alt (+ (sin y) (/ (* x (cos y)) z))>
#<alt (+ (sin y) (/ (* x (cos y)) z))>
#<alt (+ (sin y) (/ (* x (cos y)) z))>
#<alt (+ (sin y) (/ (* x (cos y)) z))>
#<alt (+ (sin y) (/ (* x (cos y)) z))>
#<alt (+ (sin y) (/ (* x (cos y)) z))>
#<alt (+ (sin y) (/ (* x (cos y)) z))>
#<alt (+ (sin y) (/ (* x (cos y)) z))>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (+ (* x (cos y)) (* z (sin y))) z)>
#<alt (/ (+ (* x (cos y)) (* z (sin y))) z)>
#<alt (/ (+ (* x (cos y)) (* z (sin y))) z)>
#<alt (sin y)>
#<alt (+ (sin y) (/ (* x (cos y)) z))>
#<alt (+ (sin y) (/ (* x (cos y)) z))>
#<alt (+ (sin y) (/ (* x (cos y)) z))>
#<alt (sin y)>
#<alt (+ (sin y) (/ (* x (cos y)) z))>
#<alt (+ (sin y) (/ (* x (cos y)) z))>
#<alt (+ (sin y) (/ (* x (cos y)) z))>
#<alt (/ 1 z)>
#<alt (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))>
#<alt (+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z))>
#<alt (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z))>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<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 (* -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>
#<alt (+ 1 (* -2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt y>
#<alt (* y (+ 1 (* -2/3 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 2/15 (pow y 2)) 2/3))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/15 (* -4/315 (pow y 2)))) 2/3))))>
#<alt (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt x>
#<alt (+ x (* (pow y 2) (- (* -1 x) (* -1/2 x))))>
#<alt (+ x (* (pow y 2) (- (+ (* -1 x) (* (pow y 2) (- (* 1/3 x) (+ (* -1/2 (- (* -1 x) (* -1/2 x))) (* 1/24 x))))) (* -1/2 x))))>
#<alt (+ x (* (pow y 2) (- (+ (* -1 x) (* (pow y 2) (- (+ (* 1/3 x) (* (pow y 2) (- (* -2/45 x) (+ (* -1/2 (- (* 1/3 x) (+ (* -1/2 (- (* -1 x) (* -1/2 x))) (* 1/24 x)))) (+ (* -1/720 x) (* 1/24 (- (* -1 x) (* -1/2 x)))))))) (+ (* -1/2 (- (* -1 x) (* -1/2 x))) (* 1/24 x))))) (* -1/2 x))))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
Calls

171 calls:

TimeVariablePointExpression
48.0ms
y
@-inf
(* z (+ (* x (/ (cos y) z)) (sin y)))
3.0ms
z
@0
(/ (- (* x x) (* (* z z) (* y y))) (- x (* y z)))
1.0ms
y
@inf
(* z (+ (* x (/ (cos y) z)) (sin y)))
1.0ms
x
@0
(/ (- (* x x) (* (* z z) (* y y))) (- x (* y z)))
1.0ms
y
@inf
(/ (* (+ (* 1/2 (cos (* y -2))) 1/2) (sin y)) (cos y))

simplify463.0ms (3.5%)

Memory
-27.1MiB live, 947.0MiB allocated
Algorithm
1×egg-herbie
Rules
10 104×lower-fma.f64
10 104×lower-fma.f32
7 832×lower-*.f64
7 832×lower-*.f32
4 248×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077311290
1263310925
0822710249
Stop Event
1×iter limit
1×node limit
Counts
684 → 667
Calls
Call 1
Inputs
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))
(* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))
(* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))
x
(+ x (* y z))
(+ x (* y (+ z (* y (- (* -1 x) (* -1/2 x))))))
(+ x (* y (+ z (* y (- (+ (* -1 x) (* y (- (* -7/6 z) (* -1 z)))) (* -1/2 x))))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))
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(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))
(/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
(- (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)) (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))))
(- (* x (+ (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3))))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))) (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))))
(- (* x (+ (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))) (+ (* x (- (/ (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (sin y) 4))) (/ (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (sin y) 2))))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))) (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))))
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(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* 1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (* x (pow (cos y) 2))))))))
(* x (- (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ (* (pow z 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 3)))) (* 1/2 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3))))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))))
(* x (- (+ (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 2)))) (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ (* (pow z 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 3)))) (+ (* 1/2 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (+ (* 1/2 (/ (* (pow z 3) (* (cos (* 2 y)) (pow (sin y) 3))) (* (pow x 3) (pow (cos y) 4)))) (* 1/2 (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))))))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))))
(* -1 (* x (- (* -1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))
(* -1 (* x (- (+ (* -1 (/ (+ (* 1/2 (/ (* z (sin y)) (pow (cos y) 2))) (* 1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (pow (cos y) 2)))) x)) (* -1/2 (/ (cos (* 2 y)) (cos y)))) (* 1/2 (/ 1 (cos y))))))
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x
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(- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y)))))
(- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y)))))
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(- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y)))))
(- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y)))))
(- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y)))))
(- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y)))))
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(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+ (* z (- (* z (- (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))) (* 1/2 (/ 1 (* x (cos y))))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+ (* z (- (* z (- (+ (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (* z (- (* -1 (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2)))) (* -1 (/ (* (pow (sin y) 3) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 4))))))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))) (* 1/2 (/ 1 (* x (cos y))))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(* z (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))
(* z (- (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (+ (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (* z (pow (sin y) 2)))) (* 1/2 (/ 1 (sin y))))) (* -1/2 (/ (* x (cos y)) (* z (pow (sin y) 2))))))
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(* z (- (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y)))) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (+ (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (* z (pow (sin y) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (* (pow z 2) (pow (sin y) 3)))) (+ (* -1/2 (/ (* (pow x 3) (* (pow (cos y) 3) (cos (* 2 y)))) (* (pow z 3) (pow (sin y) 4)))) (* 1/2 (/ 1 (sin y)))))))) (+ (* -1/2 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (* -1/2 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (* -1/2 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (/ (* (pow x 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 3) (pow (sin y) 2))))))))
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(* -1 (* z (- (+ (* -1 (/ (- (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (pow (sin y) 2))) (* -1/2 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin y))))))
(* -1 (* z (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (pow (sin y) 3))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* 1/2 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) (* -1/2 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin y))))))
(* -1 (* z (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (/ (* (pow x 3) (* (pow (cos y) 3) (cos (* 2 y)))) (pow (sin y) 4))) (+ (* -1/2 (/ (* (pow x 3) (pow (cos y) 3)) (pow (sin y) 4))) (/ (* (pow x 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)) (+ (* 1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (pow (sin y) 3))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))) (* 1/2 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) (* -1/2 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin y))))))
(/ z (cos y))
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(/ z (cos y))
(/ z (cos y))
(/ z (cos y))
(/ z (cos y))
(/ z (cos y))
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(/ z (cos y))
(/ z (cos y))
(/ z (cos y))
z
(+ z (* 1/2 (* (pow y 2) z)))
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(+ 1 (* -1/2 (pow y 2)))
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(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
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(/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
(- (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)) (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))))
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(* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* 1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (* x (pow (cos y) 2))))))))
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(* -1 (* x (- (* -1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))
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(* -1 (* (pow y 2) (pow z 2)))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (pow y 2)))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (pow y 2)))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (pow y 2)))
(pow x 2)
(+ (* -1 (* (pow y 2) (pow z 2))) (pow x 2))
(+ (* -1 (* (pow y 2) (pow z 2))) (pow x 2))
(+ (* -1 (* (pow y 2) (pow z 2))) (pow x 2))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) (pow z 2)))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) (pow z 2)))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) (pow z 2)))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) (pow z 2)))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) (pow z 2)))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) (pow z 2)))
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(sin y)
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(/ (* x (cos y)) z)
(* x (+ (/ (cos y) z) (/ (sin y) x)))
(* x (+ (/ (cos y) z) (/ (sin y) x)))
(* x (+ (/ (cos y) z) (/ (sin y) x)))
(/ (* x (cos y)) z)
(* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(/ x z)
(+ y (/ x z))
(+ (* y (+ 1 (* -1/2 (/ (* x y) z)))) (/ x z))
(+ (* y (+ 1 (* y (+ (* -1/2 (/ x z)) (* -1/6 y))))) (/ x z))
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(/ (* x (cos y)) z)
(/ (+ (* x (cos y)) (* z (sin y))) z)
(/ (+ (* x (cos y)) (* z (sin y))) z)
(/ (+ (* x (cos y)) (* z (sin y))) z)
(sin y)
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(sin y)
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(/ 1 z)
(+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 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) z)
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
1
(+ 1 (* -2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
y
(* y (+ 1 (* -2/3 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 2/15 (pow y 2)) 2/3))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/15 (* -4/315 (pow y 2)))) 2/3))))
(/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
x
(+ x (* (pow y 2) (- (* -1 x) (* -1/2 x))))
(+ x (* (pow y 2) (- (+ (* -1 x) (* (pow y 2) (- (* 1/3 x) (+ (* -1/2 (- (* -1 x) (* -1/2 x))) (* 1/24 x))))) (* -1/2 x))))
(+ x (* (pow y 2) (- (+ (* -1 x) (* (pow y 2) (- (+ (* 1/3 x) (* (pow y 2) (- (* -2/45 x) (+ (* -1/2 (- (* 1/3 x) (+ (* -1/2 (- (* -1 x) (* -1/2 x))) (* 1/24 x)))) (+ (* -1/720 x) (* 1/24 (- (* -1 x) (* -1/2 x)))))))) (+ (* -1/2 (- (* -1 x) (* -1/2 x))) (* 1/24 x))))) (* -1/2 x))))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
Outputs
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) (cos.f64 y))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))
(*.f64 z (fma.f64 (sin.f64 y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 y) z)))))
(* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))
(*.f64 z (fma.f64 (sin.f64 y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 y) z)))))
(* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))
(*.f64 z (fma.f64 (sin.f64 y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 y) z)))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))
(*.f64 z (fma.f64 (sin.f64 y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 y) z)))))
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))
(*.f64 z (fma.f64 (sin.f64 y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 y) z)))))
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))
(*.f64 z (fma.f64 (sin.f64 y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 y) z)))))
x
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y (+ z (* y (- (* -1 x) (* -1/2 x))))))
(fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) z) x)
(+ x (* y (+ z (* y (- (+ (* -1 x) (* y (- (* -7/6 z) (* -1 z)))) (* -1/2 x))))))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal -1/6 binary64)))) z) x)
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
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(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
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(* (pow y 2) (pow z 2))
(*.f64 z (*.f64 y (*.f64 y z)))
(* (pow y 2) (pow z 2))
(*.f64 z (*.f64 y (*.f64 y z)))
(* (pow y 2) (pow z 2))
(*.f64 z (*.f64 y (*.f64 y z)))
(* (pow y 2) (pow z 2))
(*.f64 z (*.f64 y (*.f64 y z)))
(* (pow y 2) (pow z 2))
(*.f64 z (*.f64 y (*.f64 y z)))
(* (pow y 2) (pow z 2))
(*.f64 z (*.f64 y (*.f64 y z)))
(* (pow y 2) (pow z 2))
(*.f64 z (*.f64 y (*.f64 y z)))
(* (pow y 2) (pow z 2))
(*.f64 z (*.f64 y (*.f64 y z)))
(* (pow y 2) (pow z 2))
(*.f64 z (*.f64 y (*.f64 y z)))
(* (pow y 2) (pow z 2))
(*.f64 z (*.f64 y (*.f64 y z)))
(* (pow y 2) (pow z 2))
(*.f64 z (*.f64 y (*.f64 y z)))
(* (pow y 2) (pow z 2))
(*.f64 z (*.f64 y (*.f64 y z)))
(* (pow y 2) (pow z 2))
(*.f64 z (*.f64 y (*.f64 y z)))
(* (pow y 2) (pow z 2))
(*.f64 z (*.f64 y (*.f64 y z)))
(* (pow y 2) (pow z 2))
(*.f64 z (*.f64 y (*.f64 y z)))
(* (pow y 2) (pow z 2))
(*.f64 z (*.f64 y (*.f64 y z)))
(* (pow y 2) (pow z 2))
(*.f64 z (*.f64 y (*.f64 y z)))
(* (pow y 2) (pow z 2))
(*.f64 z (*.f64 y (*.f64 y z)))

rewrite392.0ms (3%)

Memory
8.9MiB live, 642.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 762×lower-*.f32
4 738×lower-*.f64
4 252×lower-/.f32
4 242×lower-/.f64
3 774×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073453
0107443
1450334
23775334
09329320
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
25 → 435
Calls
Call 1
Inputs
(fma.f64 (/.f64 z (cos.f64 y)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (cos.f64 y)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (fma.f64 (/.f64 z (cos.f64 y)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (cos.f64 y)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))))
(/.f64 z (cos.f64 y))
(cos.f64 y)
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (*.f64 x #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))))
(*.f64 x #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64)))
#s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y #s(approx (+ (* x -1/2) (* (* y z) -1/6)) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x))
(fma.f64 y (fma.f64 y #s(approx (+ (* x -1/2) (* (* y z) -1/6)) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x)
(fma.f64 y #s(approx (+ (* x -1/2) (* (* y z) -1/6)) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z)
#s(approx (+ (* x -1/2) (* (* y z) -1/6)) (*.f64 (*.f64 z y) #s(literal -1/6 binary64)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (*.f64 y y))) (-.f64 x (*.f64 y z)))
(-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (*.f64 y y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (*.f64 y y))) (-.f64 x (*.f64 y z))))
(*.f64 x x)
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))))
(fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))
(/.f64 (cos.f64 y) z)
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (cos.f64 y))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
(*.f64 (*.f64 z y) #s(literal -1/6 binary64))
(*.f64 (*.f64 z z) (*.f64 y y))
Outputs
(+.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.f64 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (tan.f64 y) (/.f64 z (cos.f64 y)))))
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (tan.f64 y) (/.f64 z (cos.f64 y)))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.f64 y)))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (tan.f64 y) (/.f64 z (cos.f64 y)))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 z (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (tan.f64 y))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x)) (cos.f64 y))) (/.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.f64 y)) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 z (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (tan.f64 y))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x)) (cos.f64 y))))
(fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (tan.f64 y))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.f64 y)))
(fma.f64 z (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.f64 y)))
(fma.f64 z (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (tan.f64 y)) (cos.f64 y)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.f64 y)))
(fma.f64 (/.f64 z (cos.f64 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (tan.f64 y)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.f64 y)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 y))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (tan.f64 y) (/.f64 z (cos.f64 y)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (tan.f64 y) (/.f64 z (cos.f64 y))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.f64 y)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (tan.f64 y) (/.f64 z (cos.f64 y)))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 z (cos.f64 y))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.f64 y)))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (tan.f64 y)) (/.f64 z (cos.f64 y)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.f64 y)))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (tan.f64 y) (/.f64 z (cos.f64 y)))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (tan.f64 y) (/.f64 z (cos.f64 y)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.f64 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (tan.f64 y) (/.f64 z (cos.f64 y)))))
(fma.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.f64 y)))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 y))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (tan.f64 y) (/.f64 z (cos.f64 y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (tan.f64 y) (/.f64 z (cos.f64 y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x)) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (tan.f64 y) (/.f64 z (cos.f64 y)))))
(fma.f64 (*.f64 z (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (tan.f64 y))) (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.f64 y)))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) x (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (tan.f64 y) (/.f64 z (cos.f64 y)))))
(fma.f64 (*.f64 (/.f64 z (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (tan.f64 y) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.f64 y)) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (*.f64 z (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (tan.f64 y)))) (cos.f64 y)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (tan.f64 y) (/.f64 z (cos.f64 y)))) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (tan.f64 y) (/.f64 z (cos.f64 y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.f64 y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 z (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (tan.f64 y))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x)) (cos.f64 y)) (/.f64 (-.f64 (pow.f64 (*.f64 z (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (tan.f64 y))) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.f64 y)) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (*.f64 z (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (tan.f64 y)))) (cos.f64 y)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (tan.f64 y) (/.f64 z (cos.f64 y)))) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (tan.f64 y) (/.f64 z (cos.f64 y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.f64 y)) #s(literal 3 binary64))))))
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(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) (tan.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) #s(literal 1 binary64))) (neg.f64 (cos.f64 y)))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (sin.f64 y))) (neg.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/4 binary64)))) (cos.f64 y))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) (sin.f64 y))) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (cos.f64 y))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y))))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 y)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (tan.f64 y))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) (tan.f64 y))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (tan.f64 y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (tan.f64 y))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (tan.f64 y))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (/.f64 #s(literal 1 binary64) (cos.f64 y)))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (tan.f64 y)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))) #s(literal -1 binary64)))
(*.f64 (tan.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (neg.f64 (cos.f64 y))))
(neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 x)) (cos.f64 y)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 x)) (neg.f64 (cos.f64 y)))
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (cos.f64 y))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 x))) (neg.f64 (neg.f64 (cos.f64 y))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) (neg.f64 (cos.f64 y)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 x)))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 y)))))
(pow.f64 (/.f64 (cos.f64 y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (cos.f64 y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 y))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
(*.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1 binary64) (cos.f64 y)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.f64 y)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) x)
(*.f64 z (*.f64 y #s(literal -1/6 binary64)))
(*.f64 y (*.f64 z #s(literal -1/6 binary64)))
(*.f64 #s(literal -1/6 binary64) (*.f64 z y))
(*.f64 (*.f64 z y) #s(literal -1/6 binary64))
(*.f64 (*.f64 y #s(literal -1/6 binary64)) z)
(*.f64 (*.f64 z #s(literal -1/6 binary64)) y)
(exp.f64 (*.f64 (log.f64 (*.f64 z y)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 z) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (*.f64 (log.f64 z) #s(literal 2 binary64))))
(pow.f64 (*.f64 z y) #s(literal 2 binary64))
(pow.f64 (*.f64 y (neg.f64 z)) #s(literal 2 binary64))
(*.f64 z (*.f64 (*.f64 z y) y))
(*.f64 z (*.f64 y (*.f64 z y)))
(*.f64 y (*.f64 z (*.f64 z y)))
(*.f64 (*.f64 z z) (*.f64 y y))
(*.f64 (*.f64 y y) (*.f64 z z))
(*.f64 (*.f64 z y) (*.f64 z y))
(*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z)))
(*.f64 (*.f64 z (*.f64 z y)) y)
(*.f64 (*.f64 (*.f64 z y) y) z)
(*.f64 (*.f64 (*.f64 z y) z) y)

eval152.0ms (1.1%)

Memory
20.1MiB live, 402.1MiB allocated
Compiler

Compiled 33 786 to 2 008 computations (94.1% saved)

prune189.0ms (1.4%)

Memory
-1.8MiB live, 369.8MiB allocated
Pruning

49 alts after pruning (42 fresh and 7 done)

PrunedKeptTotal
New1 169211 190
Fresh132134
Picked325
Done156
Total1 186491 235
Accuracy
100.0%
Counts
1 235 → 49
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.8%
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
51.1%
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
39.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))))
61.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
33.4%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) z)))
39.3%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
34.0%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (/.f64 z (*.f64 x x))))))
51.2%
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 (*.f64 y #s(approx (+ (* x -1/2) (* (* y z) -1/6)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y)))) y (fma.f64 z y x)))
51.2%
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 (*.f64 y y) #s(approx (+ (* x -1/2) (* (* y z) -1/6)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) (fma.f64 z y x)))
51.4%
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z) x))
86.9%
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z))
✓86.8%
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))))
86.7%
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 z (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y))) (sin.f64 y))))
39.7%
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 z (sin.f64 y)))
48.8%
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 z #s(approx (+ (* x (/ (cos y) z)) (sin y)) (/.f64 (*.f64 x (cos.f64 y)) z))))
33.9%
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 z #s(approx (+ (* x (/ (cos y) z)) (sin y)) (/.f64 x z))))
88.7%
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))))
37.1%
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) #s(approx (+ (* y (+ (* y (+ (* x -1/2) (* (* y z) -1/6))) z)) x) (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y y) x)))
16.6%
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) #s(approx (+ (* y (+ (* y (+ (* x -1/2) (* (* y z) -1/6))) z)) x) (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z))))
3.0%
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) #s(approx (+ (* y (+ (* y (+ (* x -1/2) (* (* y z) -1/6))) z)) x) (*.f64 y (*.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64)))))))
61.4%
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (fma.f64 (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (*.f64 x #s(literal 1/2 binary64)) (/.f64 x (*.f64 (cos.f64 y) #s(literal 2 binary64)))))
98.9%
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (fma.f64 (/.f64 z (cos.f64 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (tan.f64 y)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.f64 y))))
42.0%
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (fma.f64 y (fma.f64 y (/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64)))) (+.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64)) (neg.f64 x))) z) x))
✓32.3%
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (fma.f64 y (fma.f64 y (-.f64 (neg.f64 x) (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) z) x))
25.8%
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (/.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y)))
61.4%
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
51.4%
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (+.f64 (*.f64 y (fma.f64 y (-.f64 (neg.f64 x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64))) z)) x))
61.4%
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (*.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) x))
37.3%
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (*.f64 x #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
37.3%
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (*.f64 x #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
✓39.4%
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (*.f64 x #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))))
39.2%
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) #s(approx (+ (* (/ z (cos y)) (/ (* (+ (* 1/2 (cos (* y -2))) 1/2) (sin y)) (cos y))) (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
8.3%
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) #s(approx (+ (* y (+ (* y (- (neg x) (- (+ (* x -1/2) (/ (* z z) x)) (/ (* z z) x)))) z)) x) (*.f64 (*.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (/.f64 z y)))))
2.9%
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) #s(approx (+ (* y (+ (* y (- (neg x) (- (+ (* x -1/2) (/ (* z z) x)) (/ (* z z) x)))) z)) x) (*.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))))))
37.3%
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) #s(approx (* x (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 y (*.f64 y x)))) (*.f64 x #s(literal -1/2 binary64))) x)))
37.4%
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) #s(approx (* x (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (fma.f64 x (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 x #s(literal -1/2 binary64))) x)))
✓52.9%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
25.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 (*.f64 z (neg.f64 z)) y) y (*.f64 x x)) (-.f64 x (*.f64 y z))))
34.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) (*.f64 z y))) (-.f64 x (*.f64 y z))))
18.1%
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 z (*.f64 (*.f64 z y) y) (*.f64 x x)) (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y)))) (*.f64 (-.f64 x (*.f64 z y)) (fma.f64 z (*.f64 (*.f64 z y) y) (*.f64 x x)))))
18.7%
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (*.f64 (fma.f64 z (*.f64 (*.f64 z y) y) (*.f64 x x)) (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 (*.f64 z y) y) (*.f64 x x)))) (-.f64 x (*.f64 y z))))
7.7%
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) (* (* z z) (* y y))) (*.f64 (*.f64 (*.f64 y (neg.f64 y)) z) z)) (-.f64 x (*.f64 y z))))
24.4%
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) (* (* z z) (* y y))) (*.f64 x x)) (-.f64 x (*.f64 y z))))
34.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))) (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y)))))
✓61.7%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
44.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (/ (- (* x x) (* (* z z) (* y y))) (- x (* y z))) (fma.f64 x (*.f64 y (/.f64 z x)) x)))
42.2%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (/ (- (* x x) (* (* z z) (* y y))) (- x (* y z))) (*.f64 y (+.f64 z (/.f64 x y)))))
44.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 y (*.f64 (/.f64 z x) x) x)))
✓16.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))
Compiler

Compiled 2 469 to 785 computations (68.2% saved)

regimes130.0ms (1%)

Memory
-14.1MiB live, 217.5MiB allocated
Counts
91 → 1
Calls
Call 1
Inputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (*.f64 x #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) #s(approx (+ (* y (+ (* y (- (neg x) (- (+ (* x -1/2) (/ (* z z) x)) (/ (* z z) x)))) z)) x) (*.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (*.f64 x #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) #s(approx (+ (* y (+ (* y (+ (* x -1/2) (* (* y z) -1/6))) z)) x) (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y y) x)))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 z #s(approx (+ (* x (/ (cos y) z)) (sin y)) (/.f64 x z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y (+.f64 z (/.f64 x y)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (/ (- (* x x) (* (* z z) (* y y))) (- x (* y z))) (*.f64 y (+.f64 z (/.f64 x y)))))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) #s(approx (+ (* y (+ (* y (+ (* x -1/2) (* (* y z) -1/6))) z)) x) (*.f64 y (*.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64)))))))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) #s(approx (+ (* y (+ (* y (+ (* x -1/2) (* (* y z) -1/6))) z)) x) (*.f64 z (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) #s(approx (+ (* y (+ (* y (+ (* x -1/2) (* (* y z) -1/6))) z)) x) (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z))))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) #s(approx (+ (* y (+ (* y (+ (* x -1/2) (* (* y z) -1/6))) z)) x) (*.f64 z (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y))))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y #s(approx (+ (* y (+ (* x -1/2) (* (* y z) -1/6))) z) (*.f64 z (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 y (*.f64 (/.f64 z x) x) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (/ (- (* x x) (* (* z z) (* y y))) (- x (* y z))) (fma.f64 x (*.f64 y (/.f64 z x)) x)))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y #s(approx (+ (* x -1/2) (* (* y z) -1/6)) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) (* (* z z) (* y y))) (*.f64 x x)) (-.f64 x (*.f64 y z))))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (+.f64 (*.f64 y (fma.f64 y (-.f64 (neg.f64 x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64))) z)) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) #s(approx (+ (* y (+ (* y (- (neg x) (- (+ (* x -1/2) (/ (* z z) x)) (/ (* z z) x)))) z)) x) (*.f64 (*.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (/.f64 z y)))))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (*.f64 x #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 (*.f64 y y) #s(approx (+ (* x -1/2) (* (* y z) -1/6)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) (fma.f64 z y x)))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 (*.f64 y #s(approx (+ (* x -1/2) (* (* y z) -1/6)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y)))) y (fma.f64 z y x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal -1/6 binary64))) z) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y z x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) #s(approx (* x (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/24 binary64)))) x)))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) #s(approx (* x (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (fma.f64 x (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal -1/6 binary64)))) y (fma.f64 y z x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) (* (* z z) (* y y))) (*.f64 (*.f64 (*.f64 y (neg.f64 y)) z) z)) (-.f64 x (*.f64 y z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (*.f64 x #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) (*.f64 z y))) (-.f64 x (*.f64 y z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (*.f64 y y))) (-.f64 x (*.f64 y z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 (*.f64 z (neg.f64 z)) y) y (*.f64 x x)) (-.f64 x (*.f64 y z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))) (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (/.f64 z (*.f64 x x))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) (*.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) #s(approx (* x (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 y (*.f64 y x)))) (*.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (fma.f64 y (fma.f64 y (-.f64 (neg.f64 x) (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) z) x))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (fma.f64 y (fma.f64 y (/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64)))) (+.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64)) (neg.f64 x))) z) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 z (*.f64 (*.f64 z y) y) (*.f64 x x)) (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y)))) (*.f64 (-.f64 x (*.f64 z y)) (fma.f64 z (*.f64 (*.f64 z y) y) (*.f64 x x)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (*.f64 (fma.f64 z (*.f64 (*.f64 z y) y) (*.f64 x x)) (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 (*.f64 z y) y) (*.f64 x x)))) (-.f64 x (*.f64 y z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 z (sin.f64 y)))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 z #s(approx (+ (* x (/ (cos y) z)) (sin y)) (/.f64 (*.f64 x (cos.f64 y)) z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))))
(+.f64 #s(approx (* x (cos y)) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) x)) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (*.f64 z (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y))))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (/.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y)))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 z (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y))) (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (*.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) x))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (*.f64 (neg.f64 z) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y)))))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) x (*.f64 x (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (fma.f64 (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (*.f64 x #s(literal 1/2 binary64)) (/.f64 x (*.f64 (cos.f64 y) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) #s(approx (+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (pow (cos y) 2))) (*.f64 z (*.f64 (sin.f64 y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) #s(approx (+ (* (/ z (cos y)) (/ (* (+ (* 1/2 (cos (* y -2))) 1/2) (sin y)) (cos y))) (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (fma.f64 x #s(approx (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y)) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) z)))
(/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (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 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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))))))))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (fma.f64 (/.f64 z (cos.f64 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (tan.f64 y)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.f64 y))))
(fma.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #s(approx (/ (* z z) (- (* x (cos y)) (* z (sin y)))) (neg.f64 (/.f64 z (sin.f64 y)))))))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (fma.f64 (/.f64 z (cos.f64 y)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (cos.f64 y)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))))
(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 (cos.f64 y)) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(fma.f64 (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 x (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(fma.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) z) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 z (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) (*.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 x (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (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 (cos.f64 y)) #s(literal 4 binary64))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) #s(literal 2 binary64)))) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))))
Outputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
Calls

4 calls:

44.0ms
x
28.0ms
y
26.0ms
z
25.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes110.0ms (0.8%)

Memory
-13.1MiB live, 114.9MiB allocated
Counts
59 → 3
Calls
Call 1
Inputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (*.f64 x #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) #s(approx (+ (* y (+ (* y (- (neg x) (- (+ (* x -1/2) (/ (* z z) x)) (/ (* z z) x)))) z)) x) (*.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (*.f64 x #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) #s(approx (+ (* y (+ (* y (+ (* x -1/2) (* (* y z) -1/6))) z)) x) (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y y) x)))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 z #s(approx (+ (* x (/ (cos y) z)) (sin y)) (/.f64 x z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y (+.f64 z (/.f64 x y)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (/ (- (* x x) (* (* z z) (* y y))) (- x (* y z))) (*.f64 y (+.f64 z (/.f64 x y)))))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) #s(approx (+ (* y (+ (* y (+ (* x -1/2) (* (* y z) -1/6))) z)) x) (*.f64 y (*.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64)))))))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) #s(approx (+ (* y (+ (* y (+ (* x -1/2) (* (* y z) -1/6))) z)) x) (*.f64 z (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) #s(approx (+ (* y (+ (* y (+ (* x -1/2) (* (* y z) -1/6))) z)) x) (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z))))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) #s(approx (+ (* y (+ (* y (+ (* x -1/2) (* (* y z) -1/6))) z)) x) (*.f64 z (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y))))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y #s(approx (+ (* y (+ (* x -1/2) (* (* y z) -1/6))) z) (*.f64 z (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 y (*.f64 (/.f64 z x) x) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (/ (- (* x x) (* (* z z) (* y y))) (- x (* y z))) (fma.f64 x (*.f64 y (/.f64 z x)) x)))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y #s(approx (+ (* x -1/2) (* (* y z) -1/6)) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) (* (* z z) (* y y))) (*.f64 x x)) (-.f64 x (*.f64 y z))))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (+.f64 (*.f64 y (fma.f64 y (-.f64 (neg.f64 x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64))) z)) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) #s(approx (+ (* y (+ (* y (- (neg x) (- (+ (* x -1/2) (/ (* z z) x)) (/ (* z z) x)))) z)) x) (*.f64 (*.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (/.f64 z y)))))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (*.f64 x #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 (*.f64 y y) #s(approx (+ (* x -1/2) (* (* y z) -1/6)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) (fma.f64 z y x)))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 (*.f64 y #s(approx (+ (* x -1/2) (* (* y z) -1/6)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y)))) y (fma.f64 z y x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal -1/6 binary64))) z) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y z x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) #s(approx (* x (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/24 binary64)))) x)))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) #s(approx (* x (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (fma.f64 x (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal -1/6 binary64)))) y (fma.f64 y z x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) (* (* z z) (* y y))) (*.f64 (*.f64 (*.f64 y (neg.f64 y)) z) z)) (-.f64 x (*.f64 y z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (*.f64 x #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) (*.f64 z y))) (-.f64 x (*.f64 y z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (*.f64 y y))) (-.f64 x (*.f64 y z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 (*.f64 z (neg.f64 z)) y) y (*.f64 x x)) (-.f64 x (*.f64 y z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))) (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (/.f64 z (*.f64 x x))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) (*.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) #s(approx (* x (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 y (*.f64 y x)))) (*.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (fma.f64 y (fma.f64 y (-.f64 (neg.f64 x) (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) z) x))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (fma.f64 y (fma.f64 y (/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64)))) (+.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64)) (neg.f64 x))) z) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 z (*.f64 (*.f64 z y) y) (*.f64 x x)) (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y)))) (*.f64 (-.f64 x (*.f64 z y)) (fma.f64 z (*.f64 (*.f64 z y) y) (*.f64 x x)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (*.f64 (fma.f64 z (*.f64 (*.f64 z y) y) (*.f64 x x)) (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 (*.f64 z y) y) (*.f64 x x)))) (-.f64 x (*.f64 y z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 z (sin.f64 y)))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 z #s(approx (+ (* x (/ (cos y) z)) (sin y)) (/.f64 (*.f64 x (cos.f64 y)) z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))))
(+.f64 #s(approx (* x (cos y)) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) x)) (*.f64 z (sin.f64 y)))
Outputs
(+.f64 #s(approx (* x (cos y)) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) x)) (*.f64 z (sin.f64 y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))
Calls

4 calls:

38.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
27.0ms
x
25.0ms
y
16.0ms
z
Results
AccuracySegmentsBranch
79.6%4x
81.5%5y
79.3%3z
61.7%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes41.0ms (0.3%)

Memory
-6.5MiB live, 32.9MiB allocated
Counts
58 → 3
Calls
Call 1
Inputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (*.f64 x #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) #s(approx (+ (* y (+ (* y (- (neg x) (- (+ (* x -1/2) (/ (* z z) x)) (/ (* z z) x)))) z)) x) (*.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (*.f64 x #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) #s(approx (+ (* y (+ (* y (+ (* x -1/2) (* (* y z) -1/6))) z)) x) (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y y) x)))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 z #s(approx (+ (* x (/ (cos y) z)) (sin y)) (/.f64 x z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y (+.f64 z (/.f64 x y)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (/ (- (* x x) (* (* z z) (* y y))) (- x (* y z))) (*.f64 y (+.f64 z (/.f64 x y)))))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) #s(approx (+ (* y (+ (* y (+ (* x -1/2) (* (* y z) -1/6))) z)) x) (*.f64 y (*.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64)))))))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) #s(approx (+ (* y (+ (* y (+ (* x -1/2) (* (* y z) -1/6))) z)) x) (*.f64 z (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) #s(approx (+ (* y (+ (* y (+ (* x -1/2) (* (* y z) -1/6))) z)) x) (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z))))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) #s(approx (+ (* y (+ (* y (+ (* x -1/2) (* (* y z) -1/6))) z)) x) (*.f64 z (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y))))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y #s(approx (+ (* y (+ (* x -1/2) (* (* y z) -1/6))) z) (*.f64 z (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 y (*.f64 (/.f64 z x) x) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (/ (- (* x x) (* (* z z) (* y y))) (- x (* y z))) (fma.f64 x (*.f64 y (/.f64 z x)) x)))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y #s(approx (+ (* x -1/2) (* (* y z) -1/6)) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) (* (* z z) (* y y))) (*.f64 x x)) (-.f64 x (*.f64 y z))))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (+.f64 (*.f64 y (fma.f64 y (-.f64 (neg.f64 x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64))) z)) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) #s(approx (+ (* y (+ (* y (- (neg x) (- (+ (* x -1/2) (/ (* z z) x)) (/ (* z z) x)))) z)) x) (*.f64 (*.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (/.f64 z y)))))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (*.f64 x #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 (*.f64 y y) #s(approx (+ (* x -1/2) (* (* y z) -1/6)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) (fma.f64 z y x)))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 (*.f64 y #s(approx (+ (* x -1/2) (* (* y z) -1/6)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y)))) y (fma.f64 z y x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal -1/6 binary64))) z) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y z x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) #s(approx (* x (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/24 binary64)))) x)))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) #s(approx (* x (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (fma.f64 x (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal -1/6 binary64)))) y (fma.f64 y z x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) (* (* z z) (* y y))) (*.f64 (*.f64 (*.f64 y (neg.f64 y)) z) z)) (-.f64 x (*.f64 y z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (*.f64 x #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) (*.f64 z y))) (-.f64 x (*.f64 y z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (*.f64 y y))) (-.f64 x (*.f64 y z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 (*.f64 z (neg.f64 z)) y) y (*.f64 x x)) (-.f64 x (*.f64 y z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))) (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (/.f64 z (*.f64 x x))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) (*.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) #s(approx (* x (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 y (*.f64 y x)))) (*.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (fma.f64 y (fma.f64 y (-.f64 (neg.f64 x) (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) z) x))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (fma.f64 y (fma.f64 y (/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64)))) (+.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64)) (neg.f64 x))) z) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 z (*.f64 (*.f64 z y) y) (*.f64 x x)) (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y)))) (*.f64 (-.f64 x (*.f64 z y)) (fma.f64 z (*.f64 (*.f64 z y) y) (*.f64 x x)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (*.f64 (fma.f64 z (*.f64 (*.f64 z y) y) (*.f64 x x)) (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 (*.f64 z y) y) (*.f64 x x)))) (-.f64 x (*.f64 y z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 z (sin.f64 y)))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 z #s(approx (+ (* x (/ (cos y) z)) (sin y)) (/.f64 (*.f64 x (cos.f64 y)) z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))))
Outputs
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))
Calls

1 calls:

15.0ms
z
Results
AccuracySegmentsBranch
79.1%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes66.0ms (0.5%)

Memory
33.9MiB live, 72.0MiB allocated
Counts
53 → 3
Calls
Call 1
Inputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (*.f64 x #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) #s(approx (+ (* y (+ (* y (- (neg x) (- (+ (* x -1/2) (/ (* z z) x)) (/ (* z z) x)))) z)) x) (*.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (*.f64 x #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) #s(approx (+ (* y (+ (* y (+ (* x -1/2) (* (* y z) -1/6))) z)) x) (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y y) x)))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 z #s(approx (+ (* x (/ (cos y) z)) (sin y)) (/.f64 x z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y (+.f64 z (/.f64 x y)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (/ (- (* x x) (* (* z z) (* y y))) (- x (* y z))) (*.f64 y (+.f64 z (/.f64 x y)))))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) #s(approx (+ (* y (+ (* y (+ (* x -1/2) (* (* y z) -1/6))) z)) x) (*.f64 y (*.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64)))))))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) #s(approx (+ (* y (+ (* y (+ (* x -1/2) (* (* y z) -1/6))) z)) x) (*.f64 z (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) #s(approx (+ (* y (+ (* y (+ (* x -1/2) (* (* y z) -1/6))) z)) x) (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z))))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) #s(approx (+ (* y (+ (* y (+ (* x -1/2) (* (* y z) -1/6))) z)) x) (*.f64 z (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y))))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y #s(approx (+ (* y (+ (* x -1/2) (* (* y z) -1/6))) z) (*.f64 z (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 y (*.f64 (/.f64 z x) x) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (/ (- (* x x) (* (* z z) (* y y))) (- x (* y z))) (fma.f64 x (*.f64 y (/.f64 z x)) x)))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y #s(approx (+ (* x -1/2) (* (* y z) -1/6)) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) (* (* z z) (* y y))) (*.f64 x x)) (-.f64 x (*.f64 y z))))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (+.f64 (*.f64 y (fma.f64 y (-.f64 (neg.f64 x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64))) z)) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) #s(approx (+ (* y (+ (* y (- (neg x) (- (+ (* x -1/2) (/ (* z z) x)) (/ (* z z) x)))) z)) x) (*.f64 (*.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (/.f64 z y)))))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (*.f64 x #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 (*.f64 y y) #s(approx (+ (* x -1/2) (* (* y z) -1/6)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) (fma.f64 z y x)))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 (*.f64 y #s(approx (+ (* x -1/2) (* (* y z) -1/6)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y)))) y (fma.f64 z y x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal -1/6 binary64))) z) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y z x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) #s(approx (* x (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/24 binary64)))) x)))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) #s(approx (* x (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (fma.f64 x (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal -1/6 binary64)))) y (fma.f64 y z x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) (* (* z z) (* y y))) (*.f64 (*.f64 (*.f64 y (neg.f64 y)) z) z)) (-.f64 x (*.f64 y z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (*.f64 x #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) (*.f64 z y))) (-.f64 x (*.f64 y z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (*.f64 y y))) (-.f64 x (*.f64 y z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 (*.f64 z (neg.f64 z)) y) y (*.f64 x x)) (-.f64 x (*.f64 y z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))) (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (/.f64 z (*.f64 x x))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) (*.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) #s(approx (* x (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 y (*.f64 y x)))) (*.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (fma.f64 y (fma.f64 y (-.f64 (neg.f64 x) (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) z) x))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (fma.f64 y (fma.f64 y (/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64)))) (+.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64)) (neg.f64 x))) z) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 z (*.f64 (*.f64 z y) y) (*.f64 x x)) (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y)))) (*.f64 (-.f64 x (*.f64 z y)) (fma.f64 z (*.f64 (*.f64 z y) y) (*.f64 x x)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (*.f64 (fma.f64 z (*.f64 (*.f64 z y) y) (*.f64 x x)) (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 (*.f64 z y) y) (*.f64 x x)))) (-.f64 x (*.f64 y z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
Outputs
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y #s(approx (+ (* x -1/2) (* (* y z) -1/6)) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
Calls

3 calls:

34.0ms
y
14.0ms
x
14.0ms
z
Results
AccuracySegmentsBranch
71.5%3x
76.1%3y
71.1%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes102.0ms (0.8%)

Memory
-15.3MiB live, 98.7MiB allocated
Counts
52 → 1
Calls
Call 1
Inputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (*.f64 x #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) #s(approx (+ (* y (+ (* y (- (neg x) (- (+ (* x -1/2) (/ (* z z) x)) (/ (* z z) x)))) z)) x) (*.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (*.f64 x #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) #s(approx (+ (* y (+ (* y (+ (* x -1/2) (* (* y z) -1/6))) z)) x) (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y y) x)))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 z #s(approx (+ (* x (/ (cos y) z)) (sin y)) (/.f64 x z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y (+.f64 z (/.f64 x y)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (/ (- (* x x) (* (* z z) (* y y))) (- x (* y z))) (*.f64 y (+.f64 z (/.f64 x y)))))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) #s(approx (+ (* y (+ (* y (+ (* x -1/2) (* (* y z) -1/6))) z)) x) (*.f64 y (*.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64)))))))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) #s(approx (+ (* y (+ (* y (+ (* x -1/2) (* (* y z) -1/6))) z)) x) (*.f64 z (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) #s(approx (+ (* y (+ (* y (+ (* x -1/2) (* (* y z) -1/6))) z)) x) (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z))))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) #s(approx (+ (* y (+ (* y (+ (* x -1/2) (* (* y z) -1/6))) z)) x) (*.f64 z (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y))))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y #s(approx (+ (* y (+ (* x -1/2) (* (* y z) -1/6))) z) (*.f64 z (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 y (*.f64 (/.f64 z x) x) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (/ (- (* x x) (* (* z z) (* y y))) (- x (* y z))) (fma.f64 x (*.f64 y (/.f64 z x)) x)))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y #s(approx (+ (* x -1/2) (* (* y z) -1/6)) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) (* (* z z) (* y y))) (*.f64 x x)) (-.f64 x (*.f64 y z))))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (+.f64 (*.f64 y (fma.f64 y (-.f64 (neg.f64 x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64))) z)) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) #s(approx (+ (* y (+ (* y (- (neg x) (- (+ (* x -1/2) (/ (* z z) x)) (/ (* z z) x)))) z)) x) (*.f64 (*.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (/.f64 z y)))))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (*.f64 x #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 (*.f64 y y) #s(approx (+ (* x -1/2) (* (* y z) -1/6)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) (fma.f64 z y x)))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 (*.f64 y #s(approx (+ (* x -1/2) (* (* y z) -1/6)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y)))) y (fma.f64 z y x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal -1/6 binary64))) z) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y z x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) #s(approx (* x (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/24 binary64)))) x)))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) #s(approx (* x (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (fma.f64 x (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal -1/6 binary64)))) y (fma.f64 y z x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) (* (* z z) (* y y))) (*.f64 (*.f64 (*.f64 y (neg.f64 y)) z) z)) (-.f64 x (*.f64 y z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (*.f64 x #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) (*.f64 z y))) (-.f64 x (*.f64 y z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (*.f64 y y))) (-.f64 x (*.f64 y z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 (*.f64 z (neg.f64 z)) y) y (*.f64 x x)) (-.f64 x (*.f64 y z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))) (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (/.f64 z (*.f64 x x))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) (*.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) #s(approx (* x (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 y (*.f64 y x)))) (*.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (fma.f64 y (fma.f64 y (-.f64 (neg.f64 x) (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) z) x))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (fma.f64 y (fma.f64 y (/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64)))) (+.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64)) (neg.f64 x))) z) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 z (*.f64 (*.f64 z y) y) (*.f64 x x)) (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y)))) (*.f64 (-.f64 x (*.f64 z y)) (fma.f64 z (*.f64 (*.f64 z y) y) (*.f64 x x)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (*.f64 (fma.f64 z (*.f64 (*.f64 z y) y) (*.f64 x x)) (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 (*.f64 z y) y) (*.f64 x x)))) (-.f64 x (*.f64 y z))))
Outputs
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
Calls

4 calls:

46.0ms
y
21.0ms
x
17.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
14.0ms
z
Results
AccuracySegmentsBranch
52.9%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
52.9%1z
52.9%1x
52.9%1y
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes8.0ms (0.1%)

Memory
15.6MiB live, 15.6MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (*.f64 x #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))))
Outputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))
Calls

4 calls:

2.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
2.0ms
y
2.0ms
x
2.0ms
z
Results
AccuracySegmentsBranch
39.4%1y
44.6%3z
43.0%3x
39.4%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0%)

Memory
12.1MiB live, 12.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

1.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
1.0ms
y
1.0ms
x
1.0ms
z
Results
AccuracySegmentsBranch
16.8%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
16.8%1y
16.8%1x
16.8%1z
Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch81.0ms (0.6%)

Memory
-28.0MiB live, 49.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
52.0ms
2.1651660165328762e+35
1.5970754080908589e+38
18.0ms
-4.879345159999245e-57
-5.114207567817302e-64
Samples
60.0ms272×0valid
Compiler

Compiled 447 to 290 computations (35.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-cos: 6.0ms (36.8% of total)
ival-sin: 6.0ms (36.8% of total)
ival-mult: 3.0ms (18.4% of total)
ival-add: 1.0ms (6.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch19.0ms (0.1%)

Memory
26.7MiB live, 26.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
0.0ms
2.1651660165328762e+35
1.5970754080908589e+38
17.0ms
-8.703957287027335e+74
-1.552434757624294e+66
Samples
12.0ms144×0valid
Compiler

Compiled 321 to 218 computations (32.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-cos: 3.0ms (35.5% of total)
ival-sin: 3.0ms (35.5% of total)
ival-mult: 2.0ms (23.7% of total)
ival-add: 1.0ms (11.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch57.0ms (0.4%)

Memory
-23.9MiB live, 45.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
11.0ms
9.215677070676279e-26
3.6132119530980317e-22
27.0ms
-0.4733828938405597
-0.006153813508258021
Samples
30.0ms240×0valid
Compiler

Compiled 405 to 239 computations (41% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 3.0ms (38.7% of total)
ival-cos: 2.0ms (25.8% of total)
ival-sin: 2.0ms (25.8% of total)
ival-add: 1.0ms (12.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch26.0ms (0.2%)

Memory
37.0MiB live, 37.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
4.0ms
3.401646674667523e+202
3.839806072374871e+202
20.0ms
-4.29563045389703e+182
-2.280951886824512e+170
Samples
17.0ms192×0valid
Compiler

Compiled 231 to 146 computations (36.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-cos: 5.0ms (41.1% of total)
ival-sin: 4.0ms (32.9% of total)
ival-mult: 2.0ms (16.5% of total)
ival-add: 1.0ms (8.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify15.0ms (0.1%)

Memory
-23.9MiB live, 14.6MiB allocated
Algorithm
1×egg-herbie
Rules
14×*-commutative_binary64
2×+-commutative_binary64
2×1-exp_binary64
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069283
180283
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(if (<=.f64 z #s(literal -2894802230932905/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) (+.f64 #s(approx (* x (cos y)) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) x)) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 70000000000000000313113469567081906176 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -3800000000000000203783729771722553243854305858986040448840802238464 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 70000000000000000313113469567081906176 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 y #s(literal -1098878309078401/18014398509481984 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 7656353255721115/21267647932558653966460912964485513216 binary64)) #s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y #s(approx (+ (* x -1/2) (* (* y z) -1/6)) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
(if (<=.f64 z #s(literal -259999999999999979451776674547524111323200806720424662969198678651903823711006587452239024956533202063969209654195758661132274464874138612814188508418326953940127848595456 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z))) (if (<=.f64 z #s(literal 34999999999999998736702288196224092184805743324777874032320855625441138443857377368013751455079926941971228475742813146010244984310241079730698298707894377321602585027006950487482426656367498991027355648 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))
Outputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(if (<=.f64 z #s(literal -2894802230932905/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) (+.f64 #s(approx (* x (cos y)) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) x)) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 70000000000000000313113469567081906176 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -2894802230932905/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) (+.f64 #s(approx (* x (cos y)) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) x)) (*.f64 (sin.f64 y) z)) (if (<=.f64 z #s(literal 70000000000000000313113469567081906176 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))))
(if (<=.f64 z #s(literal -3800000000000000203783729771722553243854305858986040448840802238464 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 70000000000000000313113469567081906176 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -3800000000000000203783729771722553243854305858986040448840802238464 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) (if (<=.f64 z #s(literal 70000000000000000313113469567081906176 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))))
(if (<=.f64 y #s(literal -1098878309078401/18014398509481984 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 7656353255721115/21267647932558653966460912964485513216 binary64)) #s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y #s(approx (+ (* x -1/2) (* (* y z) -1/6)) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
(if (<=.f64 y #s(literal -1098878309078401/18014398509481984 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 7656353255721115/21267647932558653966460912964485513216 binary64)) #s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y #s(approx (+ (* x -1/2) (* (* y z) -1/6)) (*.f64 #s(literal -1/6 binary64) (*.f64 y z))) z) x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
(if (<=.f64 z #s(literal -259999999999999979451776674547524111323200806720424662969198678651903823711006587452239024956533202063969209654195758661132274464874138612814188508418326953940127848595456 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z))) (if (<=.f64 z #s(literal 34999999999999998736702288196224092184805743324777874032320855625441138443857377368013751455079926941971228475742813146010244984310241079730698298707894377321602585027006950487482426656367498991027355648 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))

soundness1.2s (9%)

Memory
-25.7MiB live, 643.5MiB allocated
Rules
14 080×lower-fma.f64
14 080×lower-fma.f32
11 480×lower-fma.f64
11 480×lower-fma.f32
10 454×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103610039
136629877
083809449
071112176
1246011697
0846911030
093620
1295616
2892610
32078604
43746604
56389604
08805554
0819
01319
12919
218519
3183619
0838618
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 309 to 147 computations (52.4% saved)

preprocess66.0ms (0.5%)

Memory
2.0MiB live, 118.6MiB allocated
Compiler

Compiled 294 to 106 computations (63.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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