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

Time bar (total: 12.0s)

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB 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)

sample1.3s (10.6%)

Memory
27.3MiB live, 1 814.2MiB allocated
Samples
965.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 650.0ms
ival-cos: 265.0ms (40.8% of total)
ival-sin: 226.0ms (34.8% of total)
ival-mult: 112.0ms (17.2% of total)
ival-add: 37.0ms (5.7% of total)
ival-true: 6.0ms (0.9% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

preprocess45.0ms (0.4%)

Memory
5.8MiB live, 43.2MiB 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)))

explain119.0ms (1%)

Memory
-18.8MiB live, 277.8MiB 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
54.0ms512×0valid
Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-cos: 16.0ms (42.7% of total)
ival-sin: 12.0ms (32% of total)
ival-mult: 7.0ms (18.7% of total)
ival-add: 2.0ms (5.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB 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
8.0MiB live, 8.0MiB 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)

localize34.0ms (0.3%)

Memory
-7.0MiB live, 71.1MiB 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 z (sin.f64 y))
✓accuracy99.8%
(*.f64 x (cos.f64 y))
Samples
26.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-cos: 6.0ms (35.8% of total)
ival-sin: 6.0ms (35.8% of total)
ival-mult: 3.0ms (17.9% of total)
ival-add: 1.0ms (6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
-22.6MiB live, 16.0MiB 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
1.0ms
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)))
0.0ms
y
@-inf
(+ (* x (cos y)) (* z (sin y)))
0.0ms
y
@inf
(+ (* x (cos y)) (* z (sin y)))

simplify561.0ms (4.7%)

Memory
23.8MiB live, 378.3MiB 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))

rewrite1.1s (8.8%)

Memory
20.9MiB live, 495.8MiB 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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(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)
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(*.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))))
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(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))))

eval127.0ms (1.1%)

Memory
-7.2MiB live, 69.6MiB allocated
Compiler

Compiled 9 966 to 552 computations (94.5% saved)

prune164.0ms (1.4%)

Memory
-10.1MiB live, 110.0MiB allocated
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New25515270
Fresh000
Picked101
Done000
Total25615271
Accuracy
99.9%
Counts
271 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶63.9%
(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)))))))
45.3%
(fma.f64 (*.f64 x (*.f64 x (cos.f64 y))) (/.f64 (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)))))))
▶99.8%
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
▶99.8%
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
18.9%
(/.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 (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)))))
25.1%
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) (*.f64 (-.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 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
45.7%
(/.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))))
42.9%
(/.f64 #s(literal 1 binary64) (/.f64 (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 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)))))
99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
77.3%
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
▶52.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
50.9%
#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))
50.9%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x))
42.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))
▶58.4%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
Compiler

Compiled 878 to 400 computations (54.4% saved)

simplify350.0ms (2.9%)

Memory
33.8MiB live, 701.9MiB 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
(sin.f64 y)
✓cost-diff0
(*.f64 z (sin.f64 y))
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(fma.f64 (cos.f64 y) x (*.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
12 914×lower-fma.f32
12 906×lower-fma.f64
4 100×lower-*.f32
4 088×lower-*.f64
1 790×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031262
055260
1102260
2204258
3555258
41784257
54762247
08124241
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
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(cos.f64 y)
y
x
(*.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
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(cos.f64 y)
y
x
(*.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) (fma.f64 (cos.f64 y) (neg.f64 x) (*.f64 (sin.f64 y) z))) (fma.f64 x (fma.f64 x (cos.f64 (+.f64 y y)) x) (*.f64 (*.f64 z (neg.f64 z)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))))))
(*.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 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (fma.f64 (cos.f64 y) (neg.f64 x) (*.f64 (sin.f64 y) z)))
(*.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 (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 #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)

localize329.0ms (2.8%)

Memory
-44.4MiB live, 412.5MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.4%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓accuracy86.3%
(*.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)))))
✓accuracy76.7%
(/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
✓accuracy76.5%
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓accuracy100.0%
(sin.f64 y)
✓accuracy100.0%
(cos.f64 y)
✓accuracy99.9%
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
✓accuracy99.8%
(*.f64 z (sin.f64 y))
✓accuracy100.0%
(cos.f64 y)
✓accuracy99.8%
(*.f64 x (cos.f64 y))
✓accuracy58.5%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
✓accuracy100.0%
(fma.f64 z y x)
✓accuracy52.0%
#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
190.0ms72×1valid
48.0ms135×0valid
35.0ms49×2valid
Compiler

Compiled 258 to 31 computations (88% saved)

Precisions
Click to see histograms. Total time spent on operations: 227.0ms
ival-mult: 127.0ms (56% of total)
ival-cos: 33.0ms (14.5% of total)
adjust: 23.0ms (10.1% of total)
ival-sin: 15.0ms (6.6% of total)
ival-add: 13.0ms (5.7% of total)
ival-div: 11.0ms (4.8% of total)
ival-sub: 4.0ms (1.8% of total)
ival-neg: 2.0ms (0.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series46.0ms (0.4%)

Memory
8.4MiB live, 128.8MiB allocated
Counts
15 → 420
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 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))>
#<alt (*.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 (*.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)))))>
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#<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)))))>
#<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 (- (+ (* -1/2 (/ (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))))))))>
#<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))) (* 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))>
#<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 (* (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 (+ (/ (* 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)))) (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))))>
#<alt (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y))))>
#<alt (/ (- (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) x)>
#<alt (/ (- (+ (* -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))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) x)>
#<alt (/ (- (+ (* -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)))) (* -1 (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 4)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) x)>
#<alt (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y))))>
#<alt (* -1 (/ (- (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))) (* -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)))))) (* 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)>
#<alt (* (pow y 2) (+ 1 (* -1/3 (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (/ (pow z 2) (* x (cos y)))>
#<alt (* (pow z 2) (+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))))>
#<alt (* (pow z 2) (+ (* z (- (/ (* z (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 (* (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)))>
#<alt (* z (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))))>
#<alt (* z (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))))>
#<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)))>
#<alt (* -1 (* z (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))))>
#<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))))>
#<alt (+ (* -1 (/ z (sin y))) (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (cos y) (pow (sin y) 2)))))>
#<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)))>
#<alt (/ (+ (/ (* (pow z 3) (sin y)) (* x (pow (cos y) 2))) (/ (pow z 2) (cos y))) x)>
#<alt (/ (- (+ (/ (* (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)>
#<alt (/ (- (+ (/ (* (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)>
#<alt (/ (pow z 2) (* x (cos y)))>
#<alt (* -1 (/ (+ (* -1 (/ (* (pow z 3) (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (pow z 2) (cos y)))) x))>
#<alt (* -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))>
#<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)>
#<alt (+ (/ (* y (pow z 3)) (pow x 2)) (/ (pow z 2) x))>
#<alt (+ (* 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))>
#<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))))>
#<alt (/ (pow z 2) (- (* x (cos y)) (* z (sin y))))>
#<alt (/ (pow z 2) (- (* x (cos y)) (* z (sin y))))>
#<alt (/ (pow z 2) (- (* x (cos y)) (* z (sin y))))>
#<alt (/ (pow z 2) (- (* x (cos y)) (* z (sin y))))>
#<alt (/ (pow z 2) (- (* x (cos y)) (* z (sin y))))>
#<alt (/ (pow z 2) (- (* x (cos y)) (* z (sin y))))>
#<alt (/ (pow z 2) (- (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow y 2) (pow z 2)) x)>
#<alt (* (pow y 2) (+ (/ (* y (pow z 3)) (pow x 2)) (/ (pow z 2) x)))>
#<alt (* (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)))>
#<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)))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))>
#<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

105 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)))))))
3.0ms
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)))))))
3.0ms
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)))))))
3.0ms
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)))))))

simplify401.0ms (3.4%)

Memory
8.7MiB live, 681.8MiB allocated
Algorithm
1×egg-herbie
Rules
8 680×lower-fma.f64
8 680×lower-fma.f32
6 454×lower-*.f64
6 454×lower-*.f32
4 610×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09198816
132828529
082048170
Stop Event
1×iter limit
1×node limit
Counts
420 → 409
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)))))))
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(* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y)))))
(* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y)))))
(* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y)))))
(* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y)))))
(* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y)))))
(* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y)))))
(* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y)))))
(* (pow z 2) (- (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (* 1/2 (/ 1 (* x (cos y))))))
(* (pow z 2) (- (+ (* -1 (/ (* 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))))) (* 1/2 (/ 1 (* x (cos y))))))
(* (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))))))
(* (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))))))
(* 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 (- (+ (* -1/2 (/ (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 (- (+ (* -1/2 (/ (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))))))))
(* -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))) (* 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)))) 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))))))
(/ (* 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 (* (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 (+ (/ (* 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)))) (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))))
(* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y))))
(/ (- (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) x)
(/ (- (+ (* -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))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) x)
(/ (- (+ (* -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)))) (* -1 (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 4)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) x)
(* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y))))
(* -1 (/ (- (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) x))
(* -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))
(* -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))
(pow y 2)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(/ (pow z 2) (* x (cos y)))
(* (pow z 2) (+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))))
(* (pow z 2) (+ (* z (- (/ (* z (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)))))
(* (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)))))
(* -1 (/ z (sin y)))
(* z (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))))
(* z (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (/ 1 (sin y)) (/ (* 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)) (+ (/ (* 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 (*.f64 y z) #s(literal -1/6 binary64) (*.f64 x #s(literal -1/2 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)))
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(neg.f64 (fma.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)) (/.f64 (*.f64 (*.f64 x (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))
(+ (* -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)))))
(fma.f64 x (neg.f64 (fma.f64 (cos.f64 y) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 x (pow.f64 (cos.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 z (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))) (*.f64 (neg.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))))
(+ (* -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)))))
(fma.f64 x (-.f64 (*.f64 x (neg.f64 (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (*.f64 (*.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 4 binary64))))))) (/.f64 (*.f64 (cos.f64 y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 (neg.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))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))
(*.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))))) (*.f64 x (cos.f64 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)
(/.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 (*.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)))))) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) 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)
(/.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)) (fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 x x))) (/.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)))))) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) 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)
(/.f64 (-.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 (*.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 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))))) (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)))))) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 x x)))))) x)
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))
(*.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))))) (*.f64 x (cos.f64 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))
(/.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 (*.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)))))) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) 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))
(/.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 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 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)))))) (neg.f64 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 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (pow.f64 (sin.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))

rewrite694.0ms (5.8%)

Memory
31.9MiB live, 1 122.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 948×lower-/.f32
5 944×lower-/.f64
5 124×lower-*.f32
5 112×lower-*.f64
3 998×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031179
055140
1214120
21522120
08861120
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
15 → 2 018
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)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.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 (*.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 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (neg.f64 (-.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 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (neg.f64 (-.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 (*.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 #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 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 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 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))) (/.f64 (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (-.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 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (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 (*.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 2 binary64)) (/.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (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 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x (/.f64 x (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) #s(literal 0 binary64)) (/.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 (/.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (-.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 (*.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 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 (*.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 (*.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 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 (*.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 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 (*.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 (/.f64 (pow.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 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) #s(literal 2 binary64)) (/.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))) (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (-.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 (neg.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))) (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (-.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))
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(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) z) (sin.f64 y)) (/.f64 (-.f64 (*.f64 x (*.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 z z))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))))) (/.f64 z (fma.f64 (*.f64 x (cos.f64 y)) (-.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)))))
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) z) (sin.f64 y)) (/.f64 (-.f64 (*.f64 x (*.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 z z))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))))) (/.f64 z (fma.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 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))))))
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) z) (sin.f64 y)) (/.f64 (-.f64 (*.f64 x (*.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 z z))) (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))))) (/.f64 z (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))))
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) z) (sin.f64 y)) (/.f64 (-.f64 (*.f64 x (*.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 z z))) (-.f64 (*.f64 x (*.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 z z))))) (/.f64 z (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) z) z) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (/.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (sin.f64 y) z) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)))))))
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) z) z) (-.f64 (*.f64 x (*.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 z z)))) (/.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)))))
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) z) z) (/.f64 (-.f64 (*.f64 x (*.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 z z))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))))) (/.f64 (sin.f64 y) (fma.f64 (*.f64 x (cos.f64 y)) (-.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)))))
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) z) z) (/.f64 (-.f64 (*.f64 x (*.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 z z))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))))) (/.f64 (sin.f64 y) (fma.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 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))))))
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) z) z) (/.f64 (-.f64 (*.f64 x (*.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 z z))) (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))))) (/.f64 (sin.f64 y) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))))
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) z) z) (/.f64 (-.f64 (*.f64 x (*.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 z z))) (-.f64 (*.f64 x (*.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 z z))))) (/.f64 (sin.f64 y) (-.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)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
(*.f64 (/.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) (cos.f64 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))))))) (cos.f64 y)))
(*.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 (*.f64 z (neg.f64 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))))

eval614.0ms (5.1%)

Memory
11.2MiB live, 825.1MiB allocated
Compiler

Compiled 174 153 to 3 929 computations (97.7% saved)

prune275.0ms (2.3%)

Memory
-17.3MiB live, 440.0MiB allocated
Pruning

36 alts after pruning (32 fresh and 4 done)

PrunedKeptTotal
New2 611312 642
Fresh9110
Picked145
Done000
Total2 621362 657
Accuracy
100.0%
Counts
2 657 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.3%
(fma.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) z) z) #s(literal -1 binary64)) (/.f64 (sin.f64 y) (-.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))))))
83.8%
(fma.f64 (*.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) z) (/.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))))))
64.1%
(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)))))))
75.5%
(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)))
77.3%
(fma.f64 (sin.f64 y) z (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
✓99.8%
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
▶45.7%
(/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (-.f64 (*.f64 (sin.f64 y) z) (*.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)))))
32.8%
#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 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))
99.2%
#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 (/.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)))))
58.1%
#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 (*.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)))
28.2%
#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 (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)))))
28.3%
#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 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))))
45.1%
#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 z (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 (cos.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (cos.f64 y)) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))))))))
58.0%
#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))))))) (*.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)))))
50.9%
#s(approx (+ (* (sin y) z) (* x (cos y))) (fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z) x))
50.9%
#s(approx (+ (* (sin y) z) (* x (cos y))) (fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal -1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) z) x))
87.9%
#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))))
▶42.8%
#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 z (sin.f64 y)))
91.7%
#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))))
✓52.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
24.3%
#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))))
52.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) (+.f64 (*.f64 y z) x))
32.7%
#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))))
✓58.4%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
34.9%
#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)))))
▶34.9%
#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)))))
36.6%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
50.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 x (/.f64 (*.f64 y z) x) x)))
46.6%
#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))))
41.3%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y (+.f64 z (/.f64 x y)))))
▶18.3%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))
34.9%
#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 x #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -1/720 binary64))) (*.f64 x #s(literal -1/2 binary64))) x)))
35.0%
#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)))
34.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)))
Compiler

Compiled 1 352 to 765 computations (43.4% saved)

simplify391.0ms (3.3%)

Memory
40.6MiB live, 553.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))
✓cost-diff0
(/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))
✓cost-diff6400
(-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(*.f64 z (sin.f64 y))
✓cost-diff0
#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 z (sin.f64 y)))
✓cost-diff0
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓cost-diff0
#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)))
✓cost-diff0
(*.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))))
✓cost-diff0
#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)))))
✓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
(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)))))
Rules
12 918×lower-fma.f32
12 908×lower-fma.f64
3 050×lower-*.f32
3 030×lower-*.f64
2 624×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045313
077308
1134308
2286308
3646308
41357308
53196308
66604308
08064302
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.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)
#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 (+ (* 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)))))
(*.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))))
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)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 y y)
y
(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
y
(/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (-.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 z z)) (*.f64 x (*.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 z z))
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(cos.f64 (+.f64 y y))
(+.f64 y y)
y
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
(*.f64 z z)
z
(*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
x
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
(-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))
(*.f64 (sin.f64 y) z)
(sin.f64 y)
(*.f64 x (cos.f64 y))
(cos.f64 y)
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 z (sin.f64 y) (*.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 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
#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 (+ (* 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 (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(*.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))))
(*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
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 (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 y y)
y
(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 z (sin.f64 y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
y
(/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 (cos.f64 (+.f64 y y)) (*.f64 #s(literal -1/2 binary64) (fma.f64 x x (*.f64 z z))))) (-.f64 (*.f64 z (sin.f64 y)) (*.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 z z)) (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 (cos.f64 (+.f64 y y)) (*.f64 #s(literal -1/2 binary64) (fma.f64 x x (*.f64 z z)))))
(*.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 z z))
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
(cos.f64 (+.f64 y y))
(+.f64 y y)
y
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
(*.f64 z z)
z
(*.f64 x (*.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 x x))
x
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(sin.f64 y)
(*.f64 x (cos.f64 y))
(cos.f64 y)

localize268.0ms (2.2%)

Memory
-1.2MiB live, 308.6MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy95.9%
(-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
✓accuracy87.2%
(*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))
✓accuracy76.5%
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
✓accuracy58.8%
(/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))
✓accuracy100.0%
(sin.f64 y)
✓accuracy99.8%
(*.f64 z (sin.f64 y))
✓accuracy42.9%
#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 z (sin.f64 y)))
✓accuracy99.9%
(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
✓accuracy99.8%
(*.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))))
✓accuracy58.5%
#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)))))
✓accuracy51.0%
#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)))
✓accuracy100.0%
(*.f64 y z)
✓accuracy53.7%
#s(approx (+ (* z y) x) (*.f64 y z))
✓accuracy52.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))
✓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))))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
Samples
87.0ms72×1valid
50.0ms135×0valid
42.0ms49×2valid
Compiler

Compiled 272 to 39 computations (85.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 147.0ms
ival-add: 55.0ms (37.4% of total)
ival-cos: 28.0ms (19% of total)
ival-mult: 27.0ms (18.3% of total)
adjust: 12.0ms (8.2% of total)
ival-div: 8.0ms (5.4% of total)
const: 8.0ms (5.4% of total)
ival-sin: 6.0ms (4.1% of total)
ival-sub: 4.0ms (2.7% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series44.0ms (0.4%)

Memory
-30.5MiB live, 61.0MiB allocated
Counts
19 → 492
Calls
Call 1
Inputs
#<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 (cos.f64 y)>
#<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 (+ (* 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)))))>
#<alt (*.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))))>
#<alt #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)))>
#<alt (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))>
#<alt #s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 z (sin.f64 y))>
#<alt (sin.f64 y)>
#<alt (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))>
#<alt (/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))>
#<alt (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))>
#<alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))>
#<alt (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))>
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))>
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#<alt (+ (* -1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))>
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#<alt x>
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#<alt (+ x (* y (- (* y (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z))))>
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#<alt (/ (- (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (sin y)) (* x (cos y))))>
#<alt (/ (- (* (pow z 2) (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* z (sin y)) (* x (cos y))))>
#<alt (/ (- (* (pow z 2) (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* z (sin y)) (* x (cos y))))>
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#<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)))>
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#<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)) (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))>
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#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))>
#<alt (* x (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))))))>
#<alt (* x (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* z (* (sin y) (- (* -1 (/ (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3)))))) (* (pow x 3) (cos y)))))) (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))))))>
#<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 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* z (* (sin y) (- (/ (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* x (cos y))) (/ (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x)))))>
#<alt (* (pow y 2) (pow z 2))>
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#<alt (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* -1/3 (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))>
#<alt -1/2>
#<alt (- (* 1/24 (pow y 2)) 1/2)>
#<alt (- (* 1/24 (pow y 2)) 1/2)>
#<alt (- (* 1/24 (pow y 2)) 1/2)>
#<alt (* 1/24 (pow y 2))>
#<alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* 1/24 (pow y 2))>
#<alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
Calls

123 calls:

TimeVariablePointExpression
7.0ms
x
@0
(/ (- (* (+ (* (cos (+ y y)) -1/2) 1/2) (* z z)) (* x (* x (+ (* 1/2 (cos (+ y y))) 1/2)))) (- (* (sin y) z) (* x (cos y))))
6.0ms
y
@-inf
(/ (- (* (+ (* (cos (+ y y)) -1/2) 1/2) (* z z)) (* x (* x (+ (* 1/2 (cos (+ y y))) 1/2)))) (- (* (sin y) z) (* x (cos y))))
3.0ms
z
@0
(* z (sin y))
2.0ms
z
@0
(/ (- (* (+ (* (cos (+ y y)) -1/2) 1/2) (* z z)) (* x (* x (+ (* 1/2 (cos (+ y y))) 1/2)))) (- (* (sin y) z) (* x (cos y))))
1.0ms
z
@0
(- (* (+ (* (cos (+ y y)) -1/2) 1/2) (* z z)) (* x (* x (+ (* 1/2 (cos (+ y y))) 1/2))))

simplify382.0ms (3.2%)

Memory
53.3MiB live, 592.5MiB allocated
Algorithm
1×egg-herbie
Rules
7 548×lower-fma.f64
7 548×lower-fma.f32
7 116×lower-*.f64
7 116×lower-*.f32
2 730×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06066731
121196577
278246561
081506084
Stop Event
1×iter limit
1×node limit
Counts
492 → 480
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)))))
(/ 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)))
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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)) (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))
(+ (* x (- (* x (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))) (* -1 (/ (* (pow (cos y) 2) (+ 1/2 (* -1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))))) (* -1 (/ (* (cos y) (+ 1/2 (* -1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))
(+ (* x (- (* x (- (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))) (/ (* x (* (cos y) (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))) (* -1 (/ (* (pow (cos y) 2) (+ 1/2 (* -1/2 (cos (* 2 y))))) (* z (pow (sin y) 3))))))) (* z (sin y)))) (* -1 (/ (* (pow (cos y) 2) (+ 1/2 (* -1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))))) (* -1 (/ (* (cos y) (+ 1/2 (* -1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))
(* x (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))))))
(* x (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* z (* (sin y) (- (* -1 (/ (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3)))))) (* (pow x 3) (cos y)))))) (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))))))
(/ (* 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 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x)))))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* z (* (sin y) (- (/ (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* x (cos y))) (/ (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x)))))
(* (pow y 2) (pow z 2))
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2)))
(* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))
(* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))
(* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))
(* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))
(* (pow z 2) (+ 1/2 (* -1/2 (cos (neg (* -2 y))))))
(* (pow z 2) (+ 1/2 (* -1/2 (cos (neg (* -2 y))))))
(* (pow z 2) (+ 1/2 (* -1/2 (cos (neg (* -2 y))))))
(* (pow z 2) (+ 1/2 (* -1/2 (cos (neg (* -2 y))))))
(* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))
(* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))
(* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))
(* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))
(* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))
(* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))
(* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))
(* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))
(* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))
(* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))
(* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))
(* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))
(pow y 2)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(+ 1/2 (* -1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 y)))))
-1/2
(- (* 1/24 (pow y 2)) 1/2)
(- (* 1/24 (pow y 2)) 1/2)
(- (* 1/24 (pow y 2)) 1/2)
(* 1/24 (pow y 2))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* 1/24 (pow y 2))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
Outputs
(* z (sin y))
(*.f64 z (sin.f64 y))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.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 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 z (*.f64 y #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) z) x)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.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 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(+ (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) (/.f64 (*.f64 x (cos.f64 y)) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))
(+ (* 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))))
(fma.f64 x (-.f64 (/.f64 (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 (*.f64 z (*.f64 z z)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (cos.f64 y) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 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))))
(fma.f64 x (fma.f64 x (fma.f64 x (neg.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 z (*.f64 z z)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (/.f64 (cos.f64 y) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(/ (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x)
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))) (/.f64 (*.f64 z (sin.f64 y)) (*.f64 x (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
(/ (- (+ (/ 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)
(/.f64 (fma.f64 (*.f64 z z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x (*.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) 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)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 (*.f64 x x) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64)))))) (-.f64 (/.f64 (*.f64 z (sin.f64 y)) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 x (*.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64))))))) x)
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(* -1 (/ (- (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ 1 (cos y))) x))
(/.f64 (fma.f64 z (/.f64 (sin.f64 y) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 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))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 z z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x (*.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))) 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))
(neg.f64 (-.f64 (/.f64 (neg.f64 (-.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 x (*.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))))) (*.f64 (*.f64 z z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64))))))) (/.f64 (*.f64 z (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 z y) (*.f64 x x)))
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x))
(fma.f64 y (fma.f64 y (fma.f64 z (/.f64 z (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 z (*.f64 x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) 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))
(fma.f64 y (fma.f64 y (fma.f64 (fma.f64 z (/.f64 (fma.f64 z (/.f64 z (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) x) (*.f64 (/.f64 z (*.f64 x x)) #s(literal 1/3 binary64))) (neg.f64 y) (fma.f64 z (/.f64 z (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 z (*.f64 x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) x))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))) (/.f64 (*.f64 z (sin.f64 y)) (*.f64 x (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
(+ (* 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))))
(fma.f64 z (fma.f64 z (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x)))) (/.f64 (sin.f64 y) (*.f64 (*.f64 x (neg.f64 x)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 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))))
(fma.f64 z (-.f64 (*.f64 z (fma.f64 z (neg.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x)))))) (/.f64 (sin.f64 y) (*.f64 x (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) (/.f64 (*.f64 x (cos.f64 y)) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))
(/ (- (+ (/ 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)
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(*.f64 y y)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/315 binary64)) #s(literal 2/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 1/24 (pow y 2)) 1/2)
(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(- (* 1/24 (pow y 2)) 1/2)
(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(- (* 1/24 (pow y 2)) 1/2)
(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(* 1/24 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/24 binary64))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))))
(* 1/24 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/24 binary64))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))))

rewrite542.0ms (4.5%)

Memory
-36.4MiB live, 841.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 782×lower-fma.f32
5 772×lower-fma.f64
4 954×lower-*.f32
4 934×lower-*.f64
4 600×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045228
077223
1274213
21969213
08803211
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 599
Calls
Call 1
Inputs
(/.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)))
(cos.f64 y)
#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 (+ (* 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)))))
(*.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 (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)))
(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 (+ (* (sin y) z) (* x (cos y))) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(sin.f64 y)
(-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 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 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))
(*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
Outputs
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) (*.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))) (*.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)) (*.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64)) (*.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) (/.f64 (*.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))
(-.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 x (cos.f64 y) (*.f64 (neg.f64 z) (sin.f64 y)))) (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (fma.f64 x (cos.f64 y) (*.f64 (neg.f64 z) (sin.f64 y)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 x (cos.f64 y) (*.f64 (neg.f64 z) (sin.f64 y)))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (fma.f64 x (cos.f64 y) (*.f64 (neg.f64 z) (sin.f64 y)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))) (/.f64 (*.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))))
(-.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 (neg.f64 z) (sin.f64 y))))) (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 (neg.f64 z) (sin.f64 y))))))
(fma.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)) (*.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)) (*.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.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 z (sin.f64 y)) #s(literal 1 binary64) (*.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64) (*.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)))
(neg.f64 (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.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) (/.f64 (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 (neg.f64 z) (sin.f64 y))))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (cos.f64 y) (*.f64 (neg.f64 z) (sin.f64 y))) (-.f64 (*.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))))
(/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64))
(/.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) (neg.f64 (/.f64 (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 (neg.f64 z) (sin.f64 y))))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (cos.f64 y) (*.f64 (neg.f64 z) (sin.f64 y))) (-.f64 (*.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))))))
(/.f64 (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 (neg.f64 z) (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 (neg.f64 z) (sin.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))))
(/.f64 (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(/.f64 (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))
(/.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 x (cos.f64 y) (*.f64 (neg.f64 z) (sin.f64 y))))
(/.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (*.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 (neg.f64 z) (sin.f64 y)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (neg.f64 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 (neg.f64 z) (sin.f64 y)))))))
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(*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/576 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))

eval186.0ms (1.6%)

Memory
-3.8MiB live, 296.6MiB allocated
Compiler

Compiled 40 465 to 2 327 computations (94.2% saved)

prune178.0ms (1.5%)

Memory
5.9MiB live, 338.9MiB allocated
Pruning

46 alts after pruning (39 fresh and 7 done)

PrunedKeptTotal
New1 120221 142
Fresh101727
Picked235
Done044
Total1 132461 178
Accuracy
100.0%
Counts
1 178 → 46
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.8%
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
77.3%
(fma.f64 (sin.f64 y) z (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
✓99.8%
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
50.4%
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
15.6%
(/.f64 #s(approx (- (* (+ (* (cos (+ y y)) -1/2) 1/2) (* z z)) (* x (* x (+ (* 1/2 (cos (+ y y))) 1/2)))) (*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))
87.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))))))
42.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))))
58.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
58.0%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 (fma.f64 z (/.f64 (sin.f64 y) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x))))
38.7%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 (fma.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))) (neg.f64 z))))
▶36.5%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
▶31.8%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 z y) (*.f64 x x)))))
57.8%
#s(approx (/ (- (* (+ (* (cos (+ y y)) -1/2) 1/2) (* z z)) (* x (* x (+ (* 1/2 (cos (+ y y))) 1/2)))) (- (* (sin y) z) (* x (cos y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
27.9%
#s(approx (/ (- (* (+ (* (cos (+ y y)) -1/2) 1/2) (* z z)) (* x (* x (+ (* 1/2 (cos (+ y y))) 1/2)))) (- (* (sin y) z) (* x (cos y)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y))))
91.1%
#s(approx (/ (- (* (+ (* (cos (+ y y)) -1/2) 1/2) (* z z)) (* x (* x (+ (* 1/2 (cos (+ y y))) 1/2)))) (- (* (sin y) z) (* x (cos y)))) (neg.f64 (*.f64 (neg.f64 x) (fma.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) (*.f64 x (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))))))
50.9%
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x))
87.9%
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))))
91.7%
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))))
32.8%
#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 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))
▶99.2%
#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 (/.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)))))
▶58.1%
#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 (*.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)))
28.2%
#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 (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)))))
58.0%
#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))))))) (*.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)))))
50.9%
#s(approx (+ (* (sin y) z) (* x (cos y))) (fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal -1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) z) x))
✓42.8%
#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 z (sin.f64 y)))
18.3%
#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
18.6%
#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 z #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y))))
18.0%
#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 z #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))))
18.3%
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 z #s(literal -1/6 binary64))) z))))
18.0%
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y y)) z))))
✓52.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
24.3%
#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))))
52.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) (+.f64 (*.f64 y z) x))
32.7%
#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))))
✓58.4%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
34.9%
#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)))))
✓34.9%
#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)))))
▶36.6%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(approx (+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1) #s(literal 1 binary64)))))
46.7%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 y (*.f64 (/.f64 z x) x) x)))
50.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 x (/.f64 (*.f64 y z) x) x)))
46.6%
#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))))
41.3%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y (+.f64 z (/.f64 x y)))))
✓18.3%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))
34.9%
#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 x #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -1/720 binary64))) (*.f64 x #s(literal -1/2 binary64))) x)))
35.0%
#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)))
34.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)))
Compiler

Compiled 1 377 to 852 computations (38.1% saved)

simplify434.0ms (3.6%)

Memory
22.4MiB live, 481.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
✓cost-diff0
(/.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-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 (*.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-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 z y) (*.f64 x x)))
✓cost-diff0
#s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 z y) (*.f64 x x))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 z y) (*.f64 x x)))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
#s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x))
✓cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
✓cost-diff0
#s(approx (+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1) #s(literal 1 binary64))
✓cost-diff0
#s(approx (cos y) #s(approx (+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1) #s(literal 1 binary64)))
✓cost-diff0
(*.f64 x #s(approx (cos y) #s(approx (+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1) #s(literal 1 binary64))))
✓cost-diff0
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(approx (+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1) #s(literal 1 binary64)))))
✓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
13 464×lower-fma.f32
13 460×lower-fma.f64
4 480×lower-*.f32
4 466×lower-*.f64
1 776×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062477
087475
1179475
2419457
31020457
42655453
56177453
08487434
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))) (*.f64 x #s(approx (cos y) #s(approx (+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1) #s(literal 1 binary64)))))
(*.f64 x #s(approx (cos y) #s(approx (+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1) #s(literal 1 binary64))))
x
#s(approx (cos y) #s(approx (+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1) #s(literal 1 binary64)))
#s(approx (+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
#s(literal 1 binary64)
#s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
x
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 z y) (*.f64 x x)))))
#s(literal 1 binary64)
#s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 z y) (*.f64 x x))))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 z y) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) x)
x
(/.f64 (*.f64 z y) (*.f64 x x))
(*.f64 z y)
z
y
(*.f64 x 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 (*.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 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
(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)
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 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (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 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (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 (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)) (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))) (*.f64 x #s(approx (cos y) #s(approx (+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1) #s(literal 1 binary64)))))
(*.f64 x #s(approx (cos y) #s(approx (+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1) #s(literal 1 binary64))))
x
#s(approx (cos y) #s(approx (+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1) #s(literal 1 binary64)))
#s(approx (+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
#s(literal 1 binary64)
#s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
x
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 z y) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 y z) (*.f64 x x)))))
#s(literal 1 binary64)
#s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 z y) (*.f64 x x))))
#s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 y z) (*.f64 x x))))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 z y) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 y z) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) x)
x
(/.f64 (*.f64 z y) (*.f64 x x))
(/.f64 (*.f64 y z) (*.f64 x x))
(*.f64 z y)
(*.f64 y z)
z
y
(*.f64 x 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 (*.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 (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 (*.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
(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)

localize375.0ms (3.1%)

Memory
-3.5MiB live, 386.2MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
✓accuracy99.7%
(/.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))
✓accuracy99.4%
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓accuracy58.5%
#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)))
✓accuracy100.0%
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 z y) (*.f64 x x)))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 z y) (*.f64 x x)))))
✓accuracy83.0%
(/.f64 (*.f64 z y) (*.f64 x x))
✓accuracy35.4%
#s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 z y) (*.f64 x x))))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
✓accuracy36.9%
#s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x))
✓accuracy99.8%
(*.f64 x #s(approx (cos y) #s(approx (+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1) #s(literal 1 binary64))))
✓accuracy58.5%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(approx (+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1) #s(literal 1 binary64)))))
✓accuracy51.0%
#s(approx (cos y) #s(approx (+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1) #s(literal 1 binary64)))
✓accuracy50.7%
#s(approx (+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1) #s(literal 1 binary64))
✓accuracy99.7%
(/.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)))
✓accuracy99.6%
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
✓accuracy99.6%
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))
✓accuracy99.4%
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
Samples
155.0ms60×1valid
85.0ms196×0valid
Compiler

Compiled 359 to 54 computations (85% saved)

Precisions
Click to see histograms. Total time spent on operations: 201.0ms
ival-mult: 47.0ms (23.4% of total)
const: 41.0ms (20.4% of total)
ival-sin: 34.0ms (16.9% of total)
ival-cos: 32.0ms (15.9% of total)
ival-div: 19.0ms (9.5% of total)
ival-add: 12.0ms (6% of total)
adjust: 5.0ms (2.5% of total)
ival-sub: 4.0ms (2% of total)
ival-pow2: 3.0ms (1.5% 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)

series50.0ms (0.4%)

Memory
-3.9MiB live, 73.5MiB allocated
Counts
20 → 528
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))) (*.f64 x #s(approx (cos y) #s(approx (+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1) #s(literal 1 binary64)))))>
#<alt (*.f64 x #s(approx (cos y) #s(approx (+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1) #s(literal 1 binary64))))>
#<alt #s(approx (cos y) #s(approx (+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1) #s(literal 1 binary64)))>
#<alt #s(approx (+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1) #s(literal 1 binary64))>
#<alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))>
#<alt #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 z y) (*.f64 x x)))))>
#<alt #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 z y) (*.f64 x x))))>
#<alt (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 z y) (*.f64 x 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))))))) (/.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 (*.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 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))>
#<alt (pow.f64 (cos.f64 y) #s(literal 2 binary64))>
#<alt (/.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 (*.f64 z y) (*.f64 x 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 (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))>
#<alt (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 (/ (* 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 (* (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 (* (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 (* (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 (* (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 (* (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 (* y z)>
#<alt (* y (+ z (* (pow y 2) (- (* -7/6 z) (* -1 z)))))>
#<alt (* y (+ z (* (pow y 2) (- (+ (* -7/6 z) (* (pow y 2) (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z))))) (* -1 z)))))>
#<alt (* y (+ z (* (pow y 2) (- (+ (* -7/6 z) (* (pow y 2) (- (+ (* 61/120 z) (* (pow y 2) (- (* -547/5040 z) (+ (* -1 (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z)))) (+ (* -2/45 z) (* 1/3 (- (* -7/6 z) (* -1 z)))))))) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z))))) (* -1 z)))))>
#<alt (/ (* 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 (* (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 (* (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 (* (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 (/ (* y z) (pow x 2))>
#<alt (/ (* y z) (pow x 2))>
#<alt (/ (* y z) (pow x 2))>
#<alt (/ (* y z) (pow x 2))>
#<alt (/ (* y z) (pow x 2))>
#<alt (/ (* y z) (pow x 2))>
#<alt (/ (* y z) (pow x 2))>
#<alt (/ (* y z) (pow x 2))>
#<alt (/ (* y z) (pow x 2))>
#<alt (/ (* y z) (pow x 2))>
#<alt (/ (* y z) (pow x 2))>
#<alt (/ (* y z) (pow x 2))>
#<alt (/ (* y z) (pow x 2))>
#<alt (/ (* y z) (pow x 2))>
#<alt (/ (* y z) (pow x 2))>
#<alt (/ (* y z) (pow x 2))>
#<alt (/ (* y z) (pow x 2))>
#<alt (/ (* y z) (pow x 2))>
#<alt (/ (* y z) (pow x 2))>
#<alt (/ (* y z) (pow x 2))>
#<alt (/ (* y z) (pow x 2))>
#<alt (/ (* y z) (pow x 2))>
#<alt (/ (* y z) (pow x 2))>
#<alt (/ (* y z) (pow x 2))>
#<alt (/ (* y z) (pow x 2))>
#<alt (/ (* y z) (pow x 2))>
#<alt (/ (* y z) (pow x 2))>
#<alt (/ (* y z) (pow x 2))>
#<alt (/ (* y z) (pow x 2))>
#<alt (/ (* y z) (pow x 2))>
#<alt (/ (* y z) (pow x 2))>
#<alt (/ (* y z) (pow x 2))>
#<alt (/ (* y z) (pow x 2))>
#<alt (/ (* y z) (pow x 2))>
#<alt (/ (* y z) (pow x 2))>
#<alt (/ (* y z) (pow x 2))>
Calls

132 calls:

TimeVariablePointExpression
14.0ms
z
@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
(+ (* 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))) 1/2) (cos y))) (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (pow (cos y) 2)))
1.0ms
z
@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)))

simplify485.0ms (4.1%)

Memory
3.1MiB live, 742.9MiB allocated
Algorithm
1×egg-herbie
Rules
8 684×lower-fma.f64
8 684×lower-fma.f32
7 110×lower-*.f64
7 110×lower-*.f32
3 488×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072410748
1246510386
083289865
Stop Event
1×iter limit
1×node limit
Counts
528 → 519
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))))))
(* -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))))))
(/ (* 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))))
(* 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))))))))
(* 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))))))
(* -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))))))))
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(* -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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(* -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
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(+ x (* y (- (* y (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 z))))
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(+ (* 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 (* 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))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
x
(+ x (* -1 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1 x) (* 1/3 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1 x) (* (pow y 2) (+ (* -2/45 (* x (pow y 2))) (* 1/3 x))))))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
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)
(/ (* 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 (* (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 (* (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 (* (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 (* (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 (* (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))
(* y z)
(* y (+ z (* (pow y 2) (- (* -7/6 z) (* -1 z)))))
(* y (+ z (* (pow y 2) (- (+ (* -7/6 z) (* (pow y 2) (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z))))) (* -1 z)))))
(* y (+ z (* (pow y 2) (- (+ (* -7/6 z) (* (pow y 2) (- (+ (* 61/120 z) (* (pow y 2) (- (* -547/5040 z) (+ (* -1 (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z)))) (+ (* -2/45 z) (* 1/3 (- (* -7/6 z) (* -1 z)))))))) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z))))) (* -1 z)))))
(/ (* 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 (* (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 (* (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 (* (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))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
Outputs
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(*.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))))
(+ (* 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))))))
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(* -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))))))
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(/.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))
(/.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))
(/.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))
(/.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))
(/.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)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
x
(+ x (* -1 (* x (pow y 2))))
(-.f64 x (*.f64 x (*.f64 y y)))
(+ x (* (pow y 2) (+ (* -1 x) (* 1/3 (* x (pow y 2))))))
(fma.f64 (*.f64 y y) (-.f64 (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/3 binary64))) x) x)
(+ x (* (pow y 2) (+ (* -1 x) (* (pow y 2) (+ (* -2/45 (* x (pow y 2))) (* 1/3 x))))))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 #s(literal -2/45 binary64) (*.f64 x (*.f64 y y)) (*.f64 x #s(literal 1/3 binary64)))) (neg.f64 x)) x)
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* 1/2 (cos (* -2 y)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 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 y (*.f64 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)
(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))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(*.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))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(*.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))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(*.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))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(*.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))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(*.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))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(*.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))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(*.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))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(*.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))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(*.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))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(*.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))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(*.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))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(*.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))))
(* y z)
(*.f64 z y)
(* y (+ z (* (pow y 2) (- (* -7/6 z) (* -1 z)))))
(*.f64 y (fma.f64 z (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) z))
(* y (+ z (* (pow y 2) (- (+ (* -7/6 z) (* (pow y 2) (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z))))) (* -1 z)))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal 61/120 binary64)) (fma.f64 z #s(literal 1/6 binary64) (*.f64 z #s(literal 1/3 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z))
(* y (+ z (* (pow y 2) (- (+ (* -7/6 z) (* (pow y 2) (- (+ (* 61/120 z) (* (pow y 2) (- (* -547/5040 z) (+ (* -1 (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z)))) (+ (* -2/45 z) (* 1/3 (- (* -7/6 z) (* -1 z)))))))) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z))))) (* -1 z)))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal -547/5040 binary64)) (-.f64 (fma.f64 z #s(literal -2/45 binary64) (*.f64 z #s(literal -1/18 binary64))) (-.f64 (*.f64 z #s(literal 61/120 binary64)) (fma.f64 z #s(literal 1/6 binary64) (*.f64 z #s(literal 1/3 binary64)))))) (-.f64 (*.f64 z #s(literal 61/120 binary64)) (fma.f64 z #s(literal 1/6 binary64) (*.f64 z #s(literal 1/3 binary64))))) (*.f64 z #s(literal -1/6 binary64))) z))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(*.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))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(*.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))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(*.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))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(*.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))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(*.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))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(*.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))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(*.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))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(*.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))))
(/ (* y z) (pow x 2))
(*.f64 y (/.f64 z (*.f64 x x)))
(/ (* y z) (pow x 2))
(*.f64 y (/.f64 z (*.f64 x x)))
(/ (* y z) (pow x 2))
(*.f64 y (/.f64 z (*.f64 x x)))
(/ (* y z) (pow x 2))
(*.f64 y (/.f64 z (*.f64 x x)))
(/ (* y z) (pow x 2))
(*.f64 y (/.f64 z (*.f64 x x)))
(/ (* y z) (pow x 2))
(*.f64 y (/.f64 z (*.f64 x x)))
(/ (* y z) (pow x 2))
(*.f64 y (/.f64 z (*.f64 x x)))
(/ (* y z) (pow x 2))
(*.f64 y (/.f64 z (*.f64 x x)))
(/ (* y z) (pow x 2))
(*.f64 y (/.f64 z (*.f64 x x)))
(/ (* y z) (pow x 2))
(*.f64 y (/.f64 z (*.f64 x x)))
(/ (* y z) (pow x 2))
(*.f64 y (/.f64 z (*.f64 x x)))
(/ (* y z) (pow x 2))
(*.f64 y (/.f64 z (*.f64 x x)))
(/ (* y z) (pow x 2))
(*.f64 y (/.f64 z (*.f64 x x)))
(/ (* y z) (pow x 2))
(*.f64 y (/.f64 z (*.f64 x x)))
(/ (* y z) (pow x 2))
(*.f64 y (/.f64 z (*.f64 x x)))
(/ (* y z) (pow x 2))
(*.f64 y (/.f64 z (*.f64 x x)))
(/ (* y z) (pow x 2))
(*.f64 y (/.f64 z (*.f64 x x)))
(/ (* y z) (pow x 2))
(*.f64 y (/.f64 z (*.f64 x x)))
(/ (* y z) (pow x 2))
(*.f64 y (/.f64 z (*.f64 x x)))
(/ (* y z) (pow x 2))
(*.f64 y (/.f64 z (*.f64 x x)))
(/ (* y z) (pow x 2))
(*.f64 y (/.f64 z (*.f64 x x)))
(/ (* y z) (pow x 2))
(*.f64 y (/.f64 z (*.f64 x x)))
(/ (* y z) (pow x 2))
(*.f64 y (/.f64 z (*.f64 x x)))
(/ (* y z) (pow x 2))
(*.f64 y (/.f64 z (*.f64 x x)))
(/ (* y z) (pow x 2))
(*.f64 y (/.f64 z (*.f64 x x)))
(/ (* y z) (pow x 2))
(*.f64 y (/.f64 z (*.f64 x x)))
(/ (* y z) (pow x 2))
(*.f64 y (/.f64 z (*.f64 x x)))
(/ (* y z) (pow x 2))
(*.f64 y (/.f64 z (*.f64 x x)))
(/ (* y z) (pow x 2))
(*.f64 y (/.f64 z (*.f64 x x)))
(/ (* y z) (pow x 2))
(*.f64 y (/.f64 z (*.f64 x x)))
(/ (* y z) (pow x 2))
(*.f64 y (/.f64 z (*.f64 x x)))
(/ (* y z) (pow x 2))
(*.f64 y (/.f64 z (*.f64 x x)))
(/ (* y z) (pow x 2))
(*.f64 y (/.f64 z (*.f64 x x)))
(/ (* y z) (pow x 2))
(*.f64 y (/.f64 z (*.f64 x x)))
(/ (* y z) (pow x 2))
(*.f64 y (/.f64 z (*.f64 x x)))
(/ (* y z) (pow x 2))
(*.f64 y (/.f64 z (*.f64 x x)))

rewrite322.0ms (2.7%)

Memory
14.6MiB live, 643.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 078×lower-*.f32
4 064×lower-*.f64
3 722×lower-/.f32
3 708×lower-/.f64
3 190×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062407
087405
1371327
23239327
08139312
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 452
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))) (*.f64 x #s(approx (cos y) #s(approx (+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1) #s(literal 1 binary64)))))
(*.f64 x #s(approx (cos y) #s(approx (+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1) #s(literal 1 binary64))))
#s(approx (cos y) #s(approx (+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1) #s(literal 1 binary64)))
#s(approx (+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 z y) (*.f64 x x)))))
#s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 z y) (*.f64 x x))))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 z y) (*.f64 x 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 (*.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 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)))
(pow.f64 (cos.f64 y) #s(literal 2 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 (*.f64 z y) (*.f64 x x))
Outputs
(+.f64 (/.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))) (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 (*.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))) (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))) (/.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))) (cos.f64 y))) (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)) (*.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))) (/.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))) (cos.f64 y))) (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 (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))) (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 #s(literal 1 binary64) (cos.f64 y)) x) (/.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))) (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 x (/.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)) (*.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)) (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 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)) (*.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)) x (/.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))) (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)))
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(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)))
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(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)))
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(fma.f64 #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 (*.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))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(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 (*.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))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(fma.f64 (neg.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) (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 (neg.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) (neg.f64 (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 z (sin.f64 y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 #s(literal 1 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))) (/.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))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(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)))
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(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)))
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(/.f64 (/.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))) (cos.f64 y)) (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)) (*.f64 z (sin.f64 y))) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(/.f64 (neg.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)) (*.f64 z (sin.f64 y)))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #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)) (*.f64 z (sin.f64 y))) (cos.f64 y))) (neg.f64 (cos.f64 y)))
(pow.f64 (/.f64 (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)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (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)))) #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 (*.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 (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)) (cos.f64 y)) (/.f64 (*.f64 z (sin.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)) (cos.f64 y)) (pow.f64 (/.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal -1 binary64)))
(*.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 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 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 (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 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 (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 #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)) (*.f64 z (sin.f64 y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(*.f64 (neg.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) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(*.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 #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 #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 (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 (*.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 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 (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 (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)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) (*.f64 y z))) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (*.f64 y (/.f64 z (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) (*.f64 y z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 y z) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 x x) (*.f64 y z)))))
(/.f64 (*.f64 y z) (*.f64 x x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) (*.f64 y z))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 y z)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 (*.f64 y z) x))))
(/.f64 (neg.f64 (*.f64 y z)) (*.f64 x (neg.f64 x)))
(/.f64 (/.f64 (*.f64 y z) x) x)
(/.f64 (*.f64 (*.f64 y z) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (neg.f64 (neg.f64 (*.f64 y z))) (neg.f64 (*.f64 x (neg.f64 x))))
(/.f64 (neg.f64 (/.f64 (*.f64 y z) x)) (neg.f64 x))
(/.f64 (*.f64 (/.f64 z x) y) x)
(/.f64 (neg.f64 (*.f64 (*.f64 y z) #s(literal 1 binary64))) (*.f64 x (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 y z)))) (neg.f64 (neg.f64 (*.f64 x (neg.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 y z) x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (/.f64 z x) y)) (neg.f64 x))
(pow.f64 (/.f64 (*.f64 x x) (*.f64 y z)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 y z)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 (*.f64 y z) x)) #s(literal -1 binary64))
(*.f64 y (*.f64 z (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 y (/.f64 z (*.f64 x x)))
(*.f64 z (/.f64 y (*.f64 x x)))
(*.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 y z) x))
(*.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (neg.f64 (*.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 x))))
(*.f64 (/.f64 z x) (/.f64 y x))
(*.f64 (/.f64 y x) (/.f64 z x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 y z))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 y z) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 y (*.f64 x x)) z)

eval232.0ms (1.9%)

Memory
16.4MiB live, 394.2MiB allocated
Compiler

Compiled 28 616 to 2 078 computations (92.7% saved)

prune319.0ms (2.7%)

Memory
-124.7MiB live, 479.4MiB allocated
Pruning

51 alts after pruning (41 fresh and 10 done)

PrunedKeptTotal
New1 059121 071
Fresh52934
Picked235
Done077
Total1 066511 117
Accuracy
100.0%
Counts
1 117 → 51
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.8%
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
77.3%
(fma.f64 (sin.f64 y) z (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
✓99.8%
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
50.4%
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
15.6%
(/.f64 #s(approx (- (* (+ (* (cos (+ y y)) -1/2) 1/2) (* z z)) (* x (* x (+ (* 1/2 (cos (+ y y))) 1/2)))) (*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))
87.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))))))
42.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))))
58.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
38.7%
(/.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)))
58.0%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 (fma.f64 z (/.f64 (sin.f64 y) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x))))
35.5%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)) x)))
14.0%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))))
✓36.5%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
22.0%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) #s(approx (- (/ 1 x) (/ (* z y) (* x x))) (/.f64 (-.f64 x (*.f64 z y)) (*.f64 x x)))))
3.2%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) #s(approx (- (/ 1 x) (/ (* z y) (* x x))) (neg.f64 (*.f64 y (/.f64 z (*.f64 x x)))))))
57.8%
#s(approx (/ (- (* (+ (* (cos (+ y y)) -1/2) 1/2) (* z z)) (* x (* x (+ (* 1/2 (cos (+ y y))) 1/2)))) (- (* (sin y) z) (* x (cos y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
27.9%
#s(approx (/ (- (* (+ (* (cos (+ y y)) -1/2) 1/2) (* z z)) (* x (* x (+ (* 1/2 (cos (+ y y))) 1/2)))) (- (* (sin y) z) (* x (cos y)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y))))
50.9%
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x))
87.9%
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))))
91.7%
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))))
32.8%
#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 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))
99.4%
#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 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 #s(literal 1 binary64) (/.f64 (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)))))))
25.6%
#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 (*.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)) x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (cos.f64 y)))
28.3%
#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 (*.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)))
✓58.1%
#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 (*.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)))
58.0%
#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))))))) (*.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)))))
35.0%
#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))))))) #s(approx (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal 1/3 binary64)) (fma.f64 x #s(literal 1/24 binary64) (*.f64 x #s(literal 1/4 binary64)))) (*.f64 x #s(literal -1/2 binary64))) x)))
42.4%
#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))) 1/2) (cos y))) (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (pow (cos y) 2))) (*.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))))))
50.9%
#s(approx (+ (* (sin y) z) (* x (cos y))) (fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal -1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) z) x))
✓42.8%
#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 z (sin.f64 y)))
18.3%
#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
18.6%
#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 z #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y))))
18.0%
#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 z #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))))
18.3%
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 z #s(literal -1/6 binary64))) z))))
18.0%
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y y)) z))))
✓52.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
24.3%
#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))))
52.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) (+.f64 (*.f64 y z) x))
32.7%
#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))))
✓58.4%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
34.9%
#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)))))
✓34.9%
#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)))))
✓36.6%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(approx (+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1) #s(literal 1 binary64)))))
46.7%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 y (*.f64 (/.f64 z x) x) x)))
50.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 x (/.f64 (*.f64 y z) x) x)))
46.6%
#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))))
41.3%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y (+.f64 z (/.f64 x y)))))
✓18.3%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))
34.9%
#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 x #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -1/720 binary64))) (*.f64 x #s(literal -1/2 binary64))) x)))
35.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 y (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y))))) x)))
34.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)))
Compiler

Compiled 2 261 to 807 computations (64.3% saved)

regimes135.0ms (1.1%)

Memory
-0.7MiB live, 237.8MiB allocated
Counts
81 → 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 (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(approx (+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1) #s(literal 1 binary64)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (+.f64 (*.f64 y z) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)))
#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 (+ (* (sin y) z) (* x (cos y))) (fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z) x))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y (+.f64 z (/.f64 x y)))))
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y y)) z))))
#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 z #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 x (/.f64 (*.f64 y z) x) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 y (*.f64 (/.f64 z x) x) 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))) #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 (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 (+ (* (sin y) z) (* x (cos y))) (fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal -1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) z) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 y (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y))))) 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 (+ (* (sin y) z) (* x (cos y))) (*.f64 z #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) #s(approx (- (/ 1 x) (/ (* z y) (* x x))) (neg.f64 (*.f64 y (/.f64 z (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) #s(approx (- (/ 1 x) (/ (* z y) (* x x))) (/.f64 (-.f64 x (*.f64 z y)) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 (*.f64 x x) (*.f64 x (*.f64 x 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) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)) 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 (+ (* 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 (+ (* (sin y) z) (* x (cos y))) (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
#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)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal 1/3 binary64)) (fma.f64 x #s(literal 1/24 binary64) (*.f64 x #s(literal 1/4 binary64)))) (*.f64 x #s(literal -1/2 binary64))) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 z y) (*.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 x #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -1/720 binary64))) (*.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 z #s(literal -1/6 binary64))) 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))))))) (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 (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 (+ (* (sin y) z) (* x (cos y))) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) z (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(/.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)))))
(fma.f64 (cos.f64 y) 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 (+ (* (sin y) z) (* x (cos y))) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))))
#s(approx (+ (* (sin y) z) (* x (cos 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 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 (+ (* (* 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 (/ (- (* (+ (* (cos (+ y y)) -1/2) 1/2) (* z z)) (* x (* x (+ (* 1/2 (cos (+ y y))) 1/2)))) (- (* (sin y) z) (* x (cos y)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y))))
#s(approx (/ (- (* (+ (* (cos (+ y y)) -1/2) 1/2) (* z z)) (* x (* x (+ (* 1/2 (cos (+ y y))) 1/2)))) (- (* (sin y) z) (* x (cos y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (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)))
(/.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) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (fma.f64 x (/.f64 (cos.f64 y) 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 (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)))))
(/.f64 #s(approx (- (* (+ (* (cos (+ y y)) -1/2) 1/2) (* z z)) (* x (* x (+ (* 1/2 (cos (+ y y))) 1/2)))) (*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (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 (*.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)) 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 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #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 (*.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 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 (fma.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))) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 (fma.f64 z (/.f64 (sin.f64 y) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 (fma.f64 z (/.f64 (sin.f64 y) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x))))
(/.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 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (-.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))))
(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 #s(literal 1 binary64) (/.f64 (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)))))))
#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 (/ (- (* (+ (* (cos (+ y y)) -1/2) 1/2) (* z z)) (* x (* x (+ (* 1/2 (cos (+ y y))) 1/2)))) (- (* (sin y) z) (* x (cos y)))) (neg.f64 (*.f64 (neg.f64 x) (fma.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) (*.f64 x (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 (*.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) z) (/.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))))))
(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 x (*.f64 x (cos.f64 y))) (/.f64 (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 (*.f64 (*.f64 (sin.f64 y) z) z) #s(literal -1 binary64)) (/.f64 (sin.f64 y) (-.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 4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 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)))))
#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 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 (cos.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (cos.f64 y)) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) (*.f64 (-.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 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (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 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)))))
Outputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
Calls

4 calls:

49.0ms
x
36.0ms
y
24.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
22.0ms
z
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)

regimes56.0ms (0.5%)

Memory
-9.5MiB live, 148.3MiB allocated
Counts
43 → 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 (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(approx (+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1) #s(literal 1 binary64)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (+.f64 (*.f64 y z) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)))
#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 (+ (* (sin y) z) (* x (cos y))) (fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z) x))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y (+.f64 z (/.f64 x y)))))
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y y)) z))))
#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 z #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 x (/.f64 (*.f64 y z) x) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 y (*.f64 (/.f64 z x) x) 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))) #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 (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 (+ (* (sin y) z) (* x (cos y))) (fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal -1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) z) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 y (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y))))) 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 (+ (* (sin y) z) (* x (cos y))) (*.f64 z #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) #s(approx (- (/ 1 x) (/ (* z y) (* x x))) (neg.f64 (*.f64 y (/.f64 z (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) #s(approx (- (/ 1 x) (/ (* z y) (* x x))) (/.f64 (-.f64 x (*.f64 z y)) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 (*.f64 x x) (*.f64 x (*.f64 x 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) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)) 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 (+ (* 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 (+ (* (sin y) z) (* x (cos y))) (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
#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)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal 1/3 binary64)) (fma.f64 x #s(literal 1/24 binary64) (*.f64 x #s(literal 1/4 binary64)))) (*.f64 x #s(literal -1/2 binary64))) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 z y) (*.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 x #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -1/720 binary64))) (*.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 z #s(literal -1/6 binary64))) 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))))))) (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 (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 (+ (* (sin y) z) (* x (cos y))) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) z (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(/.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)))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
Outputs
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
Calls

4 calls:

14.0ms
y
13.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
13.0ms
z
13.0ms
x
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)

regimes60.0ms (0.5%)

Memory
1.5MiB live, 142.2MiB allocated
Counts
42 → 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 (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(approx (+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1) #s(literal 1 binary64)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (+.f64 (*.f64 y z) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)))
#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 (+ (* (sin y) z) (* x (cos y))) (fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z) x))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y (+.f64 z (/.f64 x y)))))
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y y)) z))))
#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 z #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 x (/.f64 (*.f64 y z) x) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 y (*.f64 (/.f64 z x) x) 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))) #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 (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 (+ (* (sin y) z) (* x (cos y))) (fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal -1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) z) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 y (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y))))) 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 (+ (* (sin y) z) (* x (cos y))) (*.f64 z #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) #s(approx (- (/ 1 x) (/ (* z y) (* x x))) (neg.f64 (*.f64 y (/.f64 z (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) #s(approx (- (/ 1 x) (/ (* z y) (* x x))) (/.f64 (-.f64 x (*.f64 z y)) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 (*.f64 x x) (*.f64 x (*.f64 x 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) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)) 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 (+ (* 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 (+ (* (sin y) z) (* x (cos y))) (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
#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)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal 1/3 binary64)) (fma.f64 x #s(literal 1/24 binary64) (*.f64 x #s(literal 1/4 binary64)))) (*.f64 x #s(literal -1/2 binary64))) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 z y) (*.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 x #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -1/720 binary64))) (*.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 z #s(literal -1/6 binary64))) 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))))))) (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 (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 (+ (* (sin y) z) (* x (cos y))) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) z (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(/.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
(fma.f64 (sin.f64 y) z (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
(fma.f64 (sin.f64 y) z (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
Calls

4 calls:

19.0ms
y
14.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
13.0ms
z
12.0ms
x
Results
AccuracySegmentsBranch
87.2%3x
81.6%3y
87.2%3z
77.3%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes50.0ms (0.4%)

Memory
-19.3MiB live, 138.6MiB allocated
Counts
38 → 4
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 (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(approx (+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1) #s(literal 1 binary64)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (+.f64 (*.f64 y z) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)))
#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 (+ (* (sin y) z) (* x (cos y))) (fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z) x))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y (+.f64 z (/.f64 x y)))))
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y y)) z))))
#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 z #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 x (/.f64 (*.f64 y z) x) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 y (*.f64 (/.f64 z x) x) 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))) #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 (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 (+ (* (sin y) z) (* x (cos y))) (fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal -1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) z) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 y (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y))))) 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 (+ (* (sin y) z) (* x (cos y))) (*.f64 z #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) #s(approx (- (/ 1 x) (/ (* z y) (* x x))) (neg.f64 (*.f64 y (/.f64 z (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) #s(approx (- (/ 1 x) (/ (* z y) (* x x))) (/.f64 (-.f64 x (*.f64 z y)) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 (*.f64 x x) (*.f64 x (*.f64 x 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) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)) 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 (+ (* 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 (+ (* (sin y) z) (* x (cos y))) (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
#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)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal 1/3 binary64)) (fma.f64 x #s(literal 1/24 binary64) (*.f64 x #s(literal 1/4 binary64)))) (*.f64 x #s(literal -1/2 binary64))) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 z y) (*.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 x #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -1/720 binary64))) (*.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 z #s(literal -1/6 binary64))) 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))))))) (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 (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 (+ (* (sin y) z) (* x (cos 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))) (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 (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))
Calls

4 calls:

13.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
11.0ms
x
11.0ms
y
11.0ms
z
Results
AccuracySegmentsBranch
64.6%4(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
79.4%4y
76.4%3x
75.5%3z
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes34.0ms (0.3%)

Memory
19.0MiB live, 97.8MiB allocated
Counts
36 → 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 (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(approx (+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1) #s(literal 1 binary64)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (+.f64 (*.f64 y z) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)))
#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 (+ (* (sin y) z) (* x (cos y))) (fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z) x))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y (+.f64 z (/.f64 x y)))))
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y y)) z))))
#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 z #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 x (/.f64 (*.f64 y z) x) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 y (*.f64 (/.f64 z x) x) 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))) #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 (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 (+ (* (sin y) z) (* x (cos y))) (fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal -1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) z) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 y (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y))))) 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 (+ (* (sin y) z) (* x (cos y))) (*.f64 z #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) #s(approx (- (/ 1 x) (/ (* z y) (* x x))) (neg.f64 (*.f64 y (/.f64 z (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) #s(approx (- (/ 1 x) (/ (* z y) (* x x))) (/.f64 (-.f64 x (*.f64 z y)) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 (*.f64 x x) (*.f64 x (*.f64 x 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) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)) 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 (+ (* 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 (+ (* (sin y) z) (* x (cos y))) (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
#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)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal 1/3 binary64)) (fma.f64 x #s(literal 1/24 binary64) (*.f64 x #s(literal 1/4 binary64)))) (*.f64 x #s(literal -1/2 binary64))) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 z y) (*.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 x #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -1/720 binary64))) (*.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 z #s(literal -1/6 binary64))) 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))))))) (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 (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 (+ (* 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 (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
Calls

3 calls:

11.0ms
y
10.0ms
z
10.0ms
x
Results
AccuracySegmentsBranch
67.7%3z
67.0%3x
74.7%3y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes199.0ms (1.7%)

Memory
-12.7MiB live, 107.0MiB allocated
Counts
35 → 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 (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(approx (+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1) #s(literal 1 binary64)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (+.f64 (*.f64 y z) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)))
#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 (+ (* (sin y) z) (* x (cos y))) (fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z) x))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y (+.f64 z (/.f64 x y)))))
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y y)) z))))
#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 z #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 x (/.f64 (*.f64 y z) x) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 y (*.f64 (/.f64 z x) x) 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))) #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 (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 (+ (* (sin y) z) (* x (cos y))) (fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal -1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) z) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 y (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y))))) 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 (+ (* (sin y) z) (* x (cos y))) (*.f64 z #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) #s(approx (- (/ 1 x) (/ (* z y) (* x x))) (neg.f64 (*.f64 y (/.f64 z (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) #s(approx (- (/ 1 x) (/ (* z y) (* x x))) (/.f64 (-.f64 x (*.f64 z y)) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 (*.f64 x x) (*.f64 x (*.f64 x 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) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)) 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 (+ (* 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 (+ (* (sin y) z) (* x (cos y))) (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
#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)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal 1/3 binary64)) (fma.f64 x #s(literal 1/24 binary64) (*.f64 x #s(literal 1/4 binary64)))) (*.f64 x #s(literal -1/2 binary64))) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 z y) (*.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 x #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -1/720 binary64))) (*.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 z #s(literal -1/6 binary64))) 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))))))) (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))
Outputs
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
Calls

4 calls:

160.0ms
y
11.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
10.0ms
z
10.0ms
x
Results
AccuracySegmentsBranch
52.0%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
52.0%1x
52.0%1z
52.0%1y
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes9.0ms (0.1%)

Memory
-17.4MiB live, 21.3MiB allocated
Counts
3 → 2
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 (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(approx (+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1) #s(literal 1 binary64)))))
Outputs
#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:

3.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
2.0ms
x
2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
36.6%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
36.6%1y
40.5%2z
41.3%3x
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0%)

Memory
18.6MiB live, 18.6MiB 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
z
1.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
18.3%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
18.3%1y
18.3%1x
18.3%1z
Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch46.0ms (0.4%)

Memory
20.9MiB live, 98.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
23.0ms
1.5767513179421457e+47
7.156407151579893e+58
20.0ms
-1.6864057280567593e-220
-5.600631346739281e-228
Samples
32.0ms304×0valid
Compiler

Compiled 376 to 280 computations (25.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-cos: 10.0ms (44.5% of total)
ival-sin: 7.0ms (31.1% of total)
ival-mult: 4.0ms (17.8% of total)
ival-add: 1.0ms (4.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch54.0ms (0.5%)

Memory
-6.8MiB live, 107.9MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
5.201430563830993e-6
0.010731565425976242
9.0ms
-0.01723993970602273
-0.002411676148133104
25.0ms
-1.863703069497045e+236
-3.33156578514542e+225
Samples
34.0ms384×0valid
Compiler

Compiled 539 to 372 computations (31% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-cos: 9.0ms (36% of total)
ival-sin: 9.0ms (36% of total)
ival-mult: 5.0ms (20% of total)
ival-add: 2.0ms (8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch37.0ms (0.3%)

Memory
-24.8MiB live, 58.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
35.0ms
1837220.45624653
1.5263865255475133e+24
1.0ms
-0.01723993970602273
-0.002411676148133104
Samples
29.0ms160×0valid
Compiler

Compiled 431 to 286 computations (33.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-cos: 9.0ms (53.4% of total)
ival-sin: 5.0ms (29.7% of total)
ival-mult: 2.0ms (11.9% of total)
ival-add: 1.0ms (5.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch19.0ms (0.2%)

Memory
0.4MiB live, 39.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
18.0ms
6.242186260421142e+108
6.148583025424094e+117
Samples
13.0ms144×0valid
Compiler

Compiled 141 to 113 computations (19.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-cos: 3.0ms (37.7% of total)
ival-sin: 3.0ms (37.7% of total)
ival-mult: 2.0ms (25.1% of total)
ival-add: 1.0ms (12.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify8.0ms (0.1%)

Memory
20.4MiB live, 20.4MiB allocated
Algorithm
1×egg-herbie
Rules
10×*-commutative_binary64
2×1-exp_binary64
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058268
166268
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(if (<=.f64 z #s(literal -8394030620004089/50872912848509630386961759877939283730657641008879914553804457182037637617627197811290223700497087789481581959483591006819830334885554237978846405428549423569451580654251209705071092879576217840034217957579701248029256805705844583825408 binary64)) (fma.f64 (sin.f64 y) z (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (if (<=.f64 z #s(literal 131999999999999993455946242929842433051765508145152 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (fma.f64 (sin.f64 y) z (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))))
(if (<=.f64 y #s(literal -2450000000000000101198740774295873613597596519380655918703903741353451360049513034391154506492722701574109736178535126147215787829074148426287541849829350884262582610227023350111854012577210475469999543640518704365334929841586176 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y))) (if (<=.f64 y #s(literal -1224979098644775/72057594037927936 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 4496393867966703/1152921504606846976 binary64)) #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 (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y))))))
(if (<=.f64 y #s(literal -1224979098644775/72057594037927936 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 1850000 binary64)) #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 (+ (* 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 159999999999999988819189550820870356554773304022236295881854349786355677325294622460191417390308071481235648544768 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)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(if (<=.f64 z #s(literal -8394030620004089/50872912848509630386961759877939283730657641008879914553804457182037637617627197811290223700497087789481581959483591006819830334885554237978846405428549423569451580654251209705071092879576217840034217957579701248029256805705844583825408 binary64)) (fma.f64 (sin.f64 y) z (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (if (<=.f64 z #s(literal 131999999999999993455946242929842433051765508145152 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (fma.f64 (sin.f64 y) z (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))))
(if (<=.f64 y #s(literal -2450000000000000101198740774295873613597596519380655918703903741353451360049513034391154506492722701574109736178535126147215787829074148426287541849829350884262582610227023350111854012577210475469999543640518704365334929841586176 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y))) (if (<=.f64 y #s(literal -1224979098644775/72057594037927936 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 4496393867966703/1152921504606846976 binary64)) #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 (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y))))))
(if (<=.f64 y #s(literal -2450000000000000101198740774295873613597596519380655918703903741353451360049513034391154506492722701574109736178535126147215787829074148426287541849829350884262582610227023350111854012577210475469999543640518704365334929841586176 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) (if (<=.f64 y #s(literal -1224979098644775/72057594037927936 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 4496393867966703/1152921504606846976 binary64)) #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)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)))))
(if (<=.f64 y #s(literal -1224979098644775/72057594037927936 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 1850000 binary64)) #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 (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
(if (<=.f64 y #s(literal -1224979098644775/72057594037927936 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 1850000 binary64)) #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)) #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 159999999999999988819189550820870356554773304022236295881854349786355677325294622460191417390308071481235648544768 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)))

soundness861.0ms (7.2%)

Memory
9.9MiB live, 518.2MiB allocated
Rules
14 080×lower-fma.f64
14 080×lower-fma.f32
11 480×lower-fma.f64
11 480×lower-fma.f32
8 680×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09198816
132828529
082048170
0819
01319
12919
218519
3183619
0838618
093620
1295616
2892610
32078604
43746604
56389604
08805554
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 302 to 144 computations (52.3% saved)

preprocess95.0ms (0.8%)

Memory
-5.6MiB live, 160.9MiB allocated
Compiler

Compiled 284 to 100 computations (64.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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