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

Time bar (total: 11.8s)

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.4s (12.1%)

Memory
30.5MiB live, 1 404.0MiB allocated
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 863.0ms
ival-mult: 425.0ms (49.3% of total)
ival-cos: 215.0ms (24.9% of total)
ival-sin: 176.0ms (20.4% of total)
ival-add: 38.0ms (4.4% of total)
ival-true: 6.0ms (0.7% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess72.0ms (0.6%)

Memory
-5.1MiB live, 39.5MiB allocated
Algorithm
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
iter limit
saturated
iter limit
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)))

explain483.0ms (4.1%)

Memory
0.2MiB live, 117.5MiB 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
402.0ms512×0valid
Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-cos: 43.0ms (67.5% of total)
ival-sin: 12.0ms (18.8% of total)
ival-mult: 7.0ms (11% of total)
ival-add: 2.0ms (3.1% 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
1.3MiB live, 1.3MiB 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)

simplify15.0ms (0.1%)

Memory
-48.1MiB live, 5.1MiB allocated
Algorithm
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
lower-fma.f64
lower-fma.f32
lower-*.f32
*-commutative
lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
01324
11624
01623
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (*.f64 x (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)

localize32.0ms (0.3%)

Memory
33.5MiB live, 33.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(cos.f64 y)
accuracy100.0%
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
accuracy99.8%
(*.f64 x (cos.f64 y))
accuracy99.8%
(*.f64 z (sin.f64 y))
Samples
23.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-cos: 6.0ms (38.9% of total)
ival-sin: 5.0ms (32.4% of total)
ival-mult: 3.0ms (19.5% of total)
ival-add: 1.0ms (6.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
-27.7MiB live, 11.3MiB 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
5.0ms
y
@0
(+ (* x (cos y)) (* z (sin y)))
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)))

simplify702.0ms (5.9%)

Memory
10.9MiB live, 477.8MiB allocated
Algorithm
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
iter limit
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))

rewrite505.0ms (4.3%)

Memory
-9.1MiB live, 888.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
11 480×lower-fma.f64
11 480×lower-fma.f32
4 168×lower-*.f32
4 164×lower-*.f64
4 068×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

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

eval33.0ms (0.3%)

Memory
21.8MiB live, 100.6MiB allocated
Compiler

Compiled 10 060 to 552 computations (94.5% saved)

prune104.0ms (0.9%)

Memory
-21.0MiB live, 138.3MiB allocated
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New25020270
Fresh000
Picked101
Done000
Total25120271
Accuracy
99.9%
Counts
271 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.5%
(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)))))))
62.3%
(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)))))))
40.5%
(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)))
16.9%
(/.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 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (/.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
40.4%
(/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
48.3%
(+.f64 (*.f64 x (cos.f64 y)) (exp.f64 (log.f64 (*.f64 z (sin.f64 y)))))
54.5%
(+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.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))))
56.5%
(+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))))
63.9%
(+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y)))
53.9%
(+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.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))))
76.1%
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
40.4%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
52.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
50.4%
#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))
50.3%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x))
42.2%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))
57.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
Compiler

Compiled 1 004 to 498 computations (50.4% saved)

simplify43.0ms (0.4%)

Memory
25.8MiB live, 101.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 y)
cost-diff0
(*.f64 x (cos.f64 y))
cost-diff128
(+.f64 (*.f64 x (cos.f64 y)) (exp.f64 (log.f64 (*.f64 z (sin.f64 y)))))
cost-diff12800
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
cost-diff0
#s(approx (* z (sin y)) (*.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)))
cost-diff0
(cos.f64 y)
cost-diff0
(*.f64 x (cos.f64 y))
cost-diff128
(+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.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))))
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 z (sin.f64 y))
cost-diff0
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.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
(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)))
Rules
992×lower-fma.f32
984×lower-fma.f64
732×lower-*.f32
720×lower-*.f64
556×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029200
050183
174183
2106183
3252183
4679183
51067183
61100183
71260183
81260183
91260183
01260182
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(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)
#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 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
y
(+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.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))))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
#s(approx (* z (sin y)) (*.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)))
(*.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))
z
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(*.f64 y #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(*.f64 y (*.f64 y y))
(*.f64 y y)
(+.f64 (*.f64 x (cos.f64 y)) (exp.f64 (log.f64 (*.f64 z (sin.f64 y)))))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(log.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
Outputs
(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)
#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 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
y
(+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.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))))
(fma.f64 (cos.f64 y) x #s(approx (* z (sin y)) (*.f64 y (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 z (*.f64 y y)) z))))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
x
(cos.f64 y)
y
#s(approx (* z (sin y)) (*.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)))
#s(approx (* z (sin y)) (*.f64 y (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 z (*.f64 y y)) 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))
(*.f64 y (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 z (*.f64 y y)) z))
z
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(*.f64 y #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(*.f64 y (*.f64 y y))
(*.f64 y y)
(+.f64 (*.f64 x (cos.f64 y)) (exp.f64 (log.f64 (*.f64 z (sin.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
x
(cos.f64 y)
y
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(log.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
z
(sin.f64 y)

localize118.0ms (1%)

Memory
-23.6MiB live, 258.3MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(*.f64 x (cos.f64 y))
accuracy99.9%
(*.f64 z (sin.f64 y))
accuracy96.5%
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
accuracy94.6%
(log.f64 (*.f64 z (sin.f64 y)))
accuracy99.9%
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
accuracy99.9%
(*.f64 y (*.f64 y y))
accuracy98.9%
(*.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))
accuracy79.2%
#s(approx (* z (sin y)) (*.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)))
accuracy100.0%
(sin.f64 y)
accuracy99.9%
(*.f64 z (sin.f64 y))
accuracy73.2%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))
accuracy100.0%
(fma.f64 z y x)
accuracy79.7%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
accuracy100.0%
(sin.f64 y)
accuracy100.0%
(cos.f64 y)
accuracy100.0%
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
accuracy99.9%
(*.f64 z (sin.f64 y))
Samples
45.0ms140×0invalid
35.0ms116×0valid
Compiler

Compiled 167 to 27 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-mult: 15.0ms (25% of total)
const: 12.0ms (20% of total)
ival-exp: 10.0ms (16.7% of total)
ival-cos: 7.0ms (11.7% of total)
ival-add: 6.0ms (10% of total)
ival-sin: 5.0ms (8.3% of total)
ival-log: 2.0ms (3.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series140.0ms (1.2%)

Memory
29.3MiB live, 179.1MiB allocated
Counts
16 → 408
Calls
Call 1
Inputs
#<alt (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))>
#<alt (cos.f64 y)>
#<alt (*.f64 z (sin.f64 y))>
#<alt (sin.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 z (sin.f64 y)))>
#<alt (+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.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))))>
#<alt (*.f64 x (cos.f64 y))>
#<alt #s(approx (* z (sin y)) (*.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)))>
#<alt (exp.f64 (log.f64 (*.f64 z (sin.f64 y))))>
#<alt (+.f64 (*.f64 x (cos.f64 y)) (exp.f64 (log.f64 (*.f64 z (sin.f64 y)))))>
#<alt (*.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))>
#<alt (*.f64 y (*.f64 y y))>
#<alt (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))>
#<alt (log.f64 (*.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 (* 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 (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 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))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (* z (sin y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (sin y))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (* y z)>
#<alt (* z (+ y (/ x z)))>
#<alt (* z (+ y (/ x z)))>
#<alt (* z (+ y (/ x z)))>
#<alt (* y z)>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (* y z)>
#<alt (* y (+ z (/ x y)))>
#<alt (* y (+ z (/ x y)))>
#<alt (* y (+ z (/ x y)))>
#<alt (* y z)>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))>
#<alt (* y z)>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt x>
#<alt (* x (+ 1 (/ (* y z) x)))>
#<alt (* x (+ 1 (/ (* y z) x)))>
#<alt (* x (+ 1 (/ (* y z) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1)))>
#<alt (* 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 (* 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 (* 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))>
#<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))>
#<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 (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))>
#<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) (* 1/120 (* (pow y 2) z))))))>
#<alt (* 1/120 (* (pow y 5) z))>
#<alt (* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))>
#<alt (* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))>
#<alt (* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))>
#<alt (* 1/120 (* (pow y 5) z))>
#<alt (* -1 (* (pow y 5) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2))))))>
#<alt (* -1 (* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2)))))))>
#<alt (* -1 (* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2)))))))>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt -1/6>
#<alt (- (* 1/120 (pow y 2)) 1/6)>
#<alt (- (* 1/120 (pow y 2)) 1/6)>
#<alt (- (* 1/120 (pow y 2)) 1/6)>
#<alt (* 1/120 (pow y 2))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* 1/120 (pow y 2))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (+ (log z) (log (sin y)))>
#<alt (+ (log z) (log (sin y)))>
#<alt (+ (log z) (log (sin y)))>
#<alt (+ (log z) (log (sin y)))>
#<alt (+ (log (sin y)) (* -1 (log (/ 1 z))))>
#<alt (+ (log (sin y)) (* -1 (log (/ 1 z))))>
#<alt (+ (log (sin y)) (* -1 (log (/ 1 z))))>
#<alt (+ (log (sin y)) (* -1 (log (/ 1 z))))>
#<alt (+ (log (* -1 (sin y))) (* -1 (log (/ -1 z))))>
#<alt (+ (log (* -1 (sin y))) (* -1 (log (/ -1 z))))>
#<alt (+ (log (* -1 (sin y))) (* -1 (log (/ -1 z))))>
#<alt (+ (log (* -1 (sin y))) (* -1 (log (/ -1 z))))>
#<alt (+ (log y) (log z))>
#<alt (+ (log y) (+ (log z) (* -1/6 (pow y 2))))>
#<alt (+ (log y) (+ (log z) (* (pow y 2) (- (* -1/180 (pow y 2)) 1/6))))>
#<alt (+ (log y) (+ (log z) (* (pow y 2) (- (* (pow y 2) (- (* -1/2835 (pow y 2)) 1/180)) 1/6))))>
#<alt (log (* z (sin y)))>
#<alt (log (* z (sin y)))>
#<alt (log (* z (sin y)))>
#<alt (log (* z (sin y)))>
#<alt (log (* z (sin y)))>
#<alt (log (* z (sin y)))>
#<alt (log (* z (sin y)))>
#<alt (log (* z (sin y)))>
Calls

102 calls:

TimeVariablePointExpression
39.0ms
y
@-inf
(log (* z (sin y)))
34.0ms
z
@-inf
(log (* z (sin y)))
33.0ms
z
@0
(log (* z (sin y)))
15.0ms
y
@inf
(log (* z (sin y)))
6.0ms
z
@inf
(log (* z (sin y)))

simplify366.0ms (3.1%)

Memory
3.6MiB live, 487.6MiB allocated
Algorithm
egg-herbie
Rules
11 922×lower-fma.f64
11 922×lower-fma.f32
3 774×lower-*.f64
3 774×lower-*.f32
3 004×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01972986
15962902
216902878
334512872
470942872
082452601
Stop Event
iter limit
node limit
Counts
408 → 397
Calls
Call 1
Inputs
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* 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 (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
(+ 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))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(* y z)
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(* y z)
(* y (+ z (/ x y)))
(* y (+ z (/ x y)))
(* y (+ z (/ x y)))
(* y z)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* y z)
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
x
(* x (+ 1 (/ (* y z) x)))
(* x (+ 1 (/ (* y z) x)))
(* x (+ 1 (/ (* y z) x)))
x
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* 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))
(* 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))
(* 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))
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(* 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) (* 1/120 (* (pow y 2) z))))))
(* 1/120 (* (pow y 5) z))
(* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))
(* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))
(* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))
(* 1/120 (* (pow y 5) z))
(* -1 (* (pow y 5) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2))))))
(* -1 (* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2)))))))
(* -1 (* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2)))))))
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
-1/6
(- (* 1/120 (pow y 2)) 1/6)
(- (* 1/120 (pow y 2)) 1/6)
(- (* 1/120 (pow y 2)) 1/6)
(* 1/120 (pow y 2))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 1/120 (pow y 2))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(+ (log z) (log (sin y)))
(+ (log z) (log (sin y)))
(+ (log z) (log (sin y)))
(+ (log z) (log (sin y)))
(+ (log (sin y)) (* -1 (log (/ 1 z))))
(+ (log (sin y)) (* -1 (log (/ 1 z))))
(+ (log (sin y)) (* -1 (log (/ 1 z))))
(+ (log (sin y)) (* -1 (log (/ 1 z))))
(+ (log (* -1 (sin y))) (* -1 (log (/ -1 z))))
(+ (log (* -1 (sin y))) (* -1 (log (/ -1 z))))
(+ (log (* -1 (sin y))) (* -1 (log (/ -1 z))))
(+ (log (* -1 (sin y))) (* -1 (log (/ -1 z))))
(+ (log y) (log z))
(+ (log y) (+ (log z) (* -1/6 (pow y 2))))
(+ (log y) (+ (log z) (* (pow y 2) (- (* -1/180 (pow y 2)) 1/6))))
(+ (log y) (+ (log z) (* (pow y 2) (- (* (pow y 2) (- (* -1/2835 (pow y 2)) 1/180)) 1/6))))
(log (* z (sin y)))
(log (* z (sin y)))
(log (* z (sin y)))
(log (* z (sin y)))
(log (* z (sin y)))
(log (* z (sin y)))
(log (* z (sin y)))
(log (* z (sin y)))
Outputs
x
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y (+ z (* -1/2 (* x y)))))
(fma.f64 y (fma.f64 x (*.f64 y #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 y (*.f64 z #s(literal -1/6 binary64)))) z) x)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* 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 (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)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.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 y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(*.f64 (*.f64 y z) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z))
(* 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 y y) (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) 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))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(* z (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 y z x)
(+ x (* y (+ z (* -1/2 (* x y)))))
(fma.f64 y (fma.f64 x (*.f64 y #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 y (*.f64 z #s(literal -1/6 binary64)))) z) x)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(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
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
(* y z)
(*.f64 y z)
(* z (+ y (/ x z)))
(fma.f64 y z x)
(* z (+ y (/ x z)))
(fma.f64 y z x)
(* z (+ y (/ x z)))
(fma.f64 y z x)
(* y z)
(*.f64 y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(fma.f64 y z x)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(fma.f64 y z x)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(fma.f64 y z x)
x
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
(* y z)
(*.f64 y z)
(* y (+ z (/ x y)))
(fma.f64 y z x)
(* y (+ z (/ x y)))
(fma.f64 y z x)
(* y (+ z (/ x y)))
(fma.f64 y z x)
(* y z)
(*.f64 y z)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(fma.f64 y z x)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(fma.f64 y z x)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(fma.f64 y z x)
(* y z)
(*.f64 y z)
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
x
(* x (+ 1 (/ (* y z) x)))
(fma.f64 y z x)
(* x (+ 1 (/ (* y z) x)))
(fma.f64 y z x)
(* x (+ 1 (/ (* y z) x)))
(fma.f64 y z x)
x
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(fma.f64 y z x)
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(fma.f64 y z x)
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(fma.f64 y z x)
(* 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 y z x)
(+ x (* y (+ z (* -1/2 (* x y)))))
(fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) z) x)
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
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(*.f64 (pow.f64 y #s(literal 5 binary64)) (fma.f64 z (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y))) (/.f64 z (*.f64 (*.f64 y y) (*.f64 y y)))))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow y 2)) 1/6)
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(- (* 1/120 (pow y 2)) 1/6)
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(- (* 1/120 (pow y 2)) 1/6)
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(* 1/120 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(* 1/120 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(+ (log z) (log (sin y)))
(+.f64 (log.f64 z) (log.f64 (sin.f64 y)))
(+ (log z) (log (sin y)))
(+.f64 (log.f64 z) (log.f64 (sin.f64 y)))
(+ (log z) (log (sin y)))
(+.f64 (log.f64 z) (log.f64 (sin.f64 y)))
(+ (log z) (log (sin y)))
(+.f64 (log.f64 z) (log.f64 (sin.f64 y)))
(+ (log (sin y)) (* -1 (log (/ 1 z))))
(+.f64 (log.f64 z) (log.f64 (sin.f64 y)))
(+ (log (sin y)) (* -1 (log (/ 1 z))))
(+.f64 (log.f64 z) (log.f64 (sin.f64 y)))
(+ (log (sin y)) (* -1 (log (/ 1 z))))
(+.f64 (log.f64 z) (log.f64 (sin.f64 y)))
(+ (log (sin y)) (* -1 (log (/ 1 z))))
(+.f64 (log.f64 z) (log.f64 (sin.f64 y)))
(+ (log (* -1 (sin y))) (* -1 (log (/ -1 z))))
(-.f64 (log.f64 (neg.f64 (sin.f64 y))) (neg.f64 (log.f64 (neg.f64 z))))
(+ (log (* -1 (sin y))) (* -1 (log (/ -1 z))))
(-.f64 (log.f64 (neg.f64 (sin.f64 y))) (neg.f64 (log.f64 (neg.f64 z))))
(+ (log (* -1 (sin y))) (* -1 (log (/ -1 z))))
(-.f64 (log.f64 (neg.f64 (sin.f64 y))) (neg.f64 (log.f64 (neg.f64 z))))
(+ (log (* -1 (sin y))) (* -1 (log (/ -1 z))))
(-.f64 (log.f64 (neg.f64 (sin.f64 y))) (neg.f64 (log.f64 (neg.f64 z))))
(+ (log y) (log z))
(+.f64 (log.f64 z) (log.f64 y))
(+ (log y) (+ (log z) (* -1/6 (pow y 2))))
(+.f64 (log.f64 z) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) (log.f64 y)))
(+ (log y) (+ (log z) (* (pow y 2) (- (* -1/180 (pow y 2)) 1/6))))
(+.f64 (log.f64 z) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/180 binary64)) #s(literal -1/6 binary64))) (log.f64 y)))
(+ (log y) (+ (log z) (* (pow y 2) (- (* (pow y 2) (- (* -1/2835 (pow y 2)) 1/180)) 1/6))))
(+.f64 (log.f64 z) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/2835 binary64) #s(literal -1/180 binary64)) #s(literal -1/6 binary64)) (log.f64 y)))
(log (* z (sin y)))
(log.f64 (*.f64 z (sin.f64 y)))
(log (* z (sin y)))
(log.f64 (*.f64 z (sin.f64 y)))
(log (* z (sin y)))
(log.f64 (*.f64 z (sin.f64 y)))
(log (* z (sin y)))
(log.f64 (*.f64 z (sin.f64 y)))
(log (* z (sin y)))
(log.f64 (*.f64 z (sin.f64 y)))
(log (* z (sin y)))
(log.f64 (*.f64 z (sin.f64 y)))
(log (* z (sin y)))
(log.f64 (*.f64 z (sin.f64 y)))
(log (* z (sin y)))
(log.f64 (*.f64 z (sin.f64 y)))

rewrite489.0ms (4.1%)

Memory
2.3MiB live, 625.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
13 050×lower-fma.f32
13 042×lower-fma.f64
6 740×lower-*.f32
6 728×lower-*.f64
3 196×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029145
050130
1150130
2878130
08443129
Stop Event
iter limit
node limit
iter limit
Counts
16 → 336
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(cos.f64 y)
(*.f64 z (sin.f64 y))
(sin.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 z (sin.f64 y)))
(+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.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))))
(*.f64 x (cos.f64 y))
#s(approx (* z (sin y)) (*.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)))
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 x (cos.f64 y)) (exp.f64 (log.f64 (*.f64 z (sin.f64 y)))))
(*.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))
(*.f64 y (*.f64 y y))
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(log.f64 (*.f64 z (sin.f64 y)))
Outputs
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (neg.f64 (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (cos.f64 y) x) (*.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 #s(literal 2 binary64) y))))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(fma.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (neg.f64 (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (neg.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))))
(neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (neg.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #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 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (cos.f64 y) x) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (cos.f64 y) x) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (cos.f64 y) x) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (neg.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.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 #s(literal 2 binary64) y))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (*.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (*.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 9 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64))) (pow.f64 (*.f64 (cos.f64 y) (*.f64 x (*.f64 z (sin.f64 y)))) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))))
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(+.f64 (log.f64 (sin.f64 y)) (log.f64 z))
(-.f64 (/.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (log.f64 (/.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (log.f64 (sin.f64 y)) #s(literal 2 binary64)) (log.f64 (/.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 (log.f64 (sin.f64 y)) (-.f64 (log.f64 (sin.f64 y)) (log.f64 z)))) (+.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (pow.f64 (log.f64 (sin.f64 y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 z (sin.f64 y))) (*.f64 (log.f64 (*.f64 z (sin.f64 y))) (log.f64 (/.f64 z (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (pow.f64 (log.f64 (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 (log.f64 (sin.f64 y)) (-.f64 (log.f64 (sin.f64 y)) (log.f64 z)))))
(/.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) (log.f64 (/.f64 z (sin.f64 y)))) (log.f64 (/.f64 z (sin.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (pow.f64 (log.f64 (sin.f64 y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 (log.f64 (sin.f64 y)) (-.f64 (log.f64 (sin.f64 y)) (log.f64 z))))))
(/.f64 (neg.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) (log.f64 (/.f64 z (sin.f64 y))))) (neg.f64 (log.f64 (/.f64 z (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 (log.f64 (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 (log.f64 (sin.f64 y)) (log.f64 z)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (-.f64 (log.f64 (sin.f64 y)) (log.f64 z)))
(*.f64 (+.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (pow.f64 (log.f64 (sin.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 (log.f64 (sin.f64 y)) (-.f64 (log.f64 (sin.f64 y)) (log.f64 z))))))
(*.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) (log.f64 (/.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 z (sin.f64 y)))))

eval99.0ms (0.8%)

Memory
26.3MiB live, 217.0MiB allocated
Compiler

Compiled 21 870 to 1 204 computations (94.5% saved)

prune132.0ms (1.1%)

Memory
-11.9MiB live, 186.8MiB allocated
Pruning

37 alts after pruning (34 fresh and 3 done)

PrunedKeptTotal
New83529864
Fresh10515
Picked235
Done000
Total84737884
Accuracy
99.9%
Counts
884 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.3%
(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)))))))
40.5%
(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 (cos.f64 y) x))
99.8%
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
76.1%
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 z (sin.f64 y)))
16.9%
(/.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 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (/.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
40.4%
(/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 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))))
40.4%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))))
99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
50.1%
(+.f64 (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.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))))
50.3%
(+.f64 (*.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 (* z (sin y)) (*.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))))
50.1%
(+.f64 (*.f64 x #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.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))))
99.5%
(*.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (*.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
40.4%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
50.4%
#s(approx (+ (* (cos y) x) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal -1/6 binary64)))) z) x))
50.3%
#s(approx (+ (* (cos y) x) (* z (sin y))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) z) x))
57.8%
#s(approx (+ (* (cos y) x) (* z (sin y))) (*.f64 x (cos.f64 y)))
52.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
13.6%
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 z z))) (-.f64 (*.f64 y z) x)) (*.f64 (-.f64 (*.f64 y z) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x))))
28.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x)))
13.4%
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) x))) (fma.f64 y z x)) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z))))))
9.4%
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x x)) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x x)) (-.f64 (*.f64 y z) x))))
28.7%
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y z)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
51.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
20.1%
#s(approx (+ (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) (-.f64 (*.f64 y z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y z) x))))
17.4%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z)))) (*.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z))))))))
51.3%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 y z x) (*.f64 (-.f64 (*.f64 y z) x) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))))
28.7%
#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))))
13.3%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) x))) (fma.f64 y z x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z)))))))
42.2%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))
19.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
18.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))))
17.3%
#s(approx (+ (* x (cos y)) (* z (sin y))) (exp.f64 (log.f64 (*.f64 z (sin.f64 y)))))
18.6%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))
18.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 (*.f64 y z) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))
19.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z))))
18.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z))))
Compiler

Compiled 1 913 to 894 computations (53.3% saved)

simplify238.0ms (2%)

Memory
-12.8MiB live, 243.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 y)
cost-diff0
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
cost-diff0
(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))
cost-diff0
#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)))
cost-diff0
(*.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))))
cost-diff128
(+.f64 (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.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))))
cost-diff0
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)
cost-diff0
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z))
cost-diff0
#s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)))
cost-diff0
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z))))
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
(*.f64 (cos.f64 y) x)
cost-diff0
(sin.f64 y)
cost-diff0
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
Rules
6 292×lower-fma.f32
6 272×lower-fma.f64
2 266×lower-*.f32
2 246×lower-*.f64
1 830×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048419
084403
1171403
2415403
31139400
42794400
53239400
63689400
73837400
83844400
93845400
103845400
114634400
124644400
134648400
144669400
154669400
164669400
174678400
184678400
194691400
04691394
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(sin.f64 y)
y
z
(*.f64 (cos.f64 y) x)
(cos.f64 y)
x
#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))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z))))
#s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z))
y
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)
(*.f64 y y)
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
z
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(+.f64 (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.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))))
(*.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))))
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)))
(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 y 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))
(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (* z (sin y)) (*.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)))
(*.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))
z
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(*.f64 y #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(*.f64 y (*.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 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)
Outputs
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(sin.f64 y)
y
z
(*.f64 (cos.f64 y) x)
(cos.f64 y)
x
#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))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))))
#s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)))
#s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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)))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))
y
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)
(fma.f64 (*.f64 y y) (*.f64 z (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)
(*.f64 y y)
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(*.f64 z (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
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(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))
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(+.f64 (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.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))))
(fma.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z))))
(*.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))))
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)))
(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 y 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))
(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (* z (sin y)) (*.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)))
#s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) 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))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z))
z
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(*.f64 y #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(*.f64 y (*.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(cos.f64 y)
y
x
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
z
(sin.f64 y)

localize210.0ms (1.8%)

Memory
-14.9MiB live, 413.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
accuracy99.8%
(*.f64 z (sin.f64 y))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
accuracy99.6%
(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
accuracy98.1%
(*.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))
accuracy50.7%
#s(approx (* z (sin y)) (*.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)))
accuracy50.4%
#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)))
accuracy99.6%
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
accuracy97.9%
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
accuracy50.7%
#s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)))
accuracy42.3%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z))))
accuracy100.0%
(*.f64 y z)
accuracy53.5%
#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)))
accuracy100.0%
(sin.f64 y)
accuracy100.0%
(cos.f64 y)
accuracy99.9%
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
accuracy99.8%
(*.f64 (cos.f64 y) x)
Samples
143.0ms256×0valid
Compiler

Compiled 303 to 48 computations (84.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 112.0ms
ival-sin: 38.0ms (33.8% of total)
ival-mult: 33.0ms (29.3% of total)
const: 17.0ms (15.1% of total)
ival-add: 14.0ms (12.4% of total)
ival-cos: 6.0ms (5.3% of total)
ival-div: 3.0ms (2.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series224.0ms (1.9%)

Memory
11.9MiB live, 49.5MiB allocated
Counts
24 → 600
Calls
Call 1
Inputs
#<alt (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))>
#<alt (sin.f64 y)>
#<alt (*.f64 (cos.f64 y) x)>
#<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))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z))))>
#<alt #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)))>
#<alt (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z))>
#<alt (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)>
#<alt (+.f64 (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.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))))>
#<alt (*.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))))>
#<alt #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)))>
#<alt (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))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))>
#<alt (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))>
#<alt (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))>
#<alt (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))>
#<alt #s(approx (* z (sin y)) (*.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)))>
#<alt (*.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))>
#<alt (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))>
#<alt (*.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>
#<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 (* 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 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (* z (sin y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (sin y))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (* y z)>
#<alt (* z (+ y (/ x z)))>
#<alt (* z (+ y (/ x z)))>
#<alt (* z (+ y (/ x z)))>
#<alt (* y z)>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (* y z)>
#<alt (* y (+ z (/ x y)))>
#<alt (* y (+ z (/ x y)))>
#<alt (* y (+ z (/ x y)))>
#<alt (* y z)>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))>
#<alt (* y z)>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
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#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))>
#<alt (* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))>
#<alt (* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))>
#<alt (* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))>
#<alt (* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))>
#<alt (* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))>
#<alt (* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))>
#<alt (* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))>
#<alt (* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))>
#<alt (* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))>
#<alt (* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))>
#<alt (* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))>
#<alt (* -1/6 z)>
#<alt (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))>
#<alt (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))>
#<alt (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))>
#<alt (* -1/5040 (* (pow y 4) z))>
#<alt (* (pow y 4) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))>
#<alt (* (pow y 4) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))>
#<alt (* (pow y 4) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))>
#<alt (* -1/5040 (* (pow y 4) z))>
#<alt (* (pow y 4) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))>
#<alt (* (pow y 4) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))>
#<alt (* (pow y 4) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))>
#<alt 1/120>
#<alt (+ 1/120 (* -1/5040 (pow y 2)))>
#<alt (+ 1/120 (* -1/5040 (pow y 2)))>
#<alt (+ 1/120 (* -1/5040 (pow y 2)))>
#<alt (* -1/5040 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* -1/5040 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<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))>
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))>
#<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) (* 1/120 (* (pow y 2) z))))))>
#<alt (* 1/120 (* (pow y 5) z))>
#<alt (* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))>
#<alt (* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))>
#<alt (* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))>
#<alt (* 1/120 (* (pow y 5) z))>
#<alt (* -1 (* (pow y 5) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2))))))>
#<alt (* -1 (* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2)))))))>
#<alt (* -1 (* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2)))))))>
#<alt 1/24>
#<alt (+ 1/24 (* -1/720 (pow y 2)))>
#<alt (+ 1/24 (* -1/720 (pow y 2)))>
#<alt (+ 1/24 (* -1/720 (pow y 2)))>
#<alt (* -1/720 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* -1/720 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<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

150 calls:

TimeVariablePointExpression
1.0ms
z
@0
(* y (+ (* (* y y) (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6))) z))
1.0ms
z
@inf
(* y (+ (* (* y y) (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6))) z))
1.0ms
z
@-inf
(* y (+ (* (* y y) (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6))) z))
1.0ms
y
@-inf
(/ 1 (+ (* (cos y) x) (* z (sin y))))
1.0ms
y
@inf
(* y (+ (* (* y y) (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6))) z))

simplify594.0ms (5%)

Memory
14.9MiB live, 684.7MiB allocated
Algorithm
egg-herbie
Rules
10 712×lower-fma.f64
10 712×lower-fma.f32
6 662×lower-*.f64
6 662×lower-*.f32
2 946×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03986056
113265900
245265803
084805340
Stop Event
iter limit
node limit
Counts
600 → 586
Calls
Call 1
Inputs
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
x
(+ 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))
(* 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))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(* y z)
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(* y z)
(* y (+ z (/ x y)))
(* y (+ z (/ x y)))
(* y (+ z (/ x y)))
(* y z)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* y z)
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
x
(* x (+ 1 (/ (* y z) x)))
(* x (+ 1 (/ (* y z) x)))
(* x (+ 1 (/ (* y z) x)))
x
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* z (sin y))
(* 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))
(* 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)))))))
(* -1/5040 (* (pow y 7) z))
(* (pow y 7) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(* (pow y 7) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))
(* (pow y 7) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (+ (* 1/120 (/ z (pow y 2))) (/ z (pow y 6))))))
(* -1/5040 (* (pow y 7) z))
(* -1 (* (pow y 7) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z))))
(* -1 (* (pow y 7) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4)))))))
(* -1 (* (pow y 7) (+ (* -1 (/ z (pow y 6))) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4))))))))
(* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))
(* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))
(* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))
(* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))
(* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))
(* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))
(* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))
(* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))
(* -1 (* y (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1))))
(* -1 (* y (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1))))
(* -1 (* y (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1))))
(* -1 (* y (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1))))
z
(+ z (* -1/6 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))
(* -1/5040 (* (pow y 6) z))
(* (pow y 6) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(* (pow y 6) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))
(* (pow y 6) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (+ (* 1/120 (/ z (pow y 2))) (/ z (pow y 6))))))
(* -1/5040 (* (pow y 6) z))
(* (pow y 6) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(* (pow y 6) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))
(* (pow y 6) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (+ (* 1/120 (/ z (pow y 2))) (/ z (pow y 6))))))
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* -1 (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))
(* -1 (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))
(* -1 (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))
(* -1 (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* 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)
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)))
(* -1/720 (pow y 6))
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))
(* (pow y 6) (- (+ (* 1/24 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/720 (/ 1/2 (pow y 4)))))
(* -1/720 (pow y 6))
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))
(* (pow y 6) (- (+ (* 1/24 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/720 (/ 1/2 (pow y 4)))))
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)))
(* 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 (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 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 (* 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 (cos y)))
(+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y))))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y))))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y))))
(/ 1 (* z (sin y)))
(/ (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/ (- (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z)
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
(/ 1 (* z (sin y)))
(* -1 (/ (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))) z))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
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)))
(* 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 (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* -1/6 z)
(+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))
(+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))
(+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))
(* -1/5040 (* (pow y 4) z))
(* (pow y 4) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(* (pow y 4) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))
(* (pow y 4) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))
(* -1/5040 (* (pow y 4) z))
(* (pow y 4) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(* (pow y 4) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))
(* (pow y 4) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))
1/120
(+ 1/120 (* -1/5040 (pow y 2)))
(+ 1/120 (* -1/5040 (pow y 2)))
(+ 1/120 (* -1/5040 (pow y 2)))
(* -1/5040 (pow y 2))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* -1/5040 (pow y 2))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* 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))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(* 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) (* 1/120 (* (pow y 2) z))))))
(* 1/120 (* (pow y 5) z))
(* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))
(* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))
(* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))
(* 1/120 (* (pow y 5) z))
(* -1 (* (pow y 5) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2))))))
(* -1 (* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2)))))))
(* -1 (* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2)))))))
1/24
(+ 1/24 (* -1/720 (pow y 2)))
(+ 1/24 (* -1/720 (pow y 2)))
(+ 1/24 (* -1/720 (pow y 2)))
(* -1/720 (pow y 2))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* -1/720 (pow y 2))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* 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
x
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y (+ z (* -1/2 (* x y)))))
(fma.f64 y (fma.f64 x (*.f64 #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 y (*.f64 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)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 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)))
(* z (sin y))
(*.f64 z (sin.f64 y))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
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(*.f64 z (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)))
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(*.f64 z (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)))
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(*.f64 z (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)))
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(*.f64 z (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)))
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(*.f64 z (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)))
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(*.f64 z (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)))
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(*.f64 z (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)))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
(+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))
(*.f64 z (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)))
(+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))
(*.f64 z (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)))
(* -1/5040 (* (pow y 4) z))
(*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))
(* (pow y 4) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(*.f64 (fma.f64 z #s(literal -1/5040 binary64) (*.f64 z (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y y)))
(* (pow y 4) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (fma.f64 #s(literal -1/6 binary64) (/.f64 z (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 z #s(literal -1/5040 binary64) (*.f64 z (/.f64 #s(literal 1/120 binary64) (*.f64 y y))))))
(* (pow y 4) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (fma.f64 #s(literal -1/6 binary64) (/.f64 z (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 z #s(literal -1/5040 binary64) (*.f64 z (/.f64 #s(literal 1/120 binary64) (*.f64 y y))))))
(* -1/5040 (* (pow y 4) z))
(*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))
(* (pow y 4) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(*.f64 (fma.f64 z #s(literal -1/5040 binary64) (*.f64 z (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y y)))
(* (pow y 4) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (fma.f64 #s(literal -1/6 binary64) (/.f64 z (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 z #s(literal -1/5040 binary64) (*.f64 z (/.f64 #s(literal 1/120 binary64) (*.f64 y y))))))
(* (pow y 4) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (fma.f64 #s(literal -1/6 binary64) (/.f64 z (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 z #s(literal -1/5040 binary64) (*.f64 z (/.f64 #s(literal 1/120 binary64) (*.f64 y y))))))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* -1/5040 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(+ 1/120 (* -1/5040 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(+ 1/120 (* -1/5040 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(* -1/5040 (pow y 2))
(*.f64 (*.f64 y y) #s(literal -1/5040 binary64))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(*.f64 (*.f64 y y) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(*.f64 (*.f64 y y) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(*.f64 (*.f64 y y) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))))
(* -1/5040 (pow y 2))
(*.f64 (*.f64 y y) #s(literal -1/5040 binary64))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(*.f64 (*.f64 y y) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(*.f64 (*.f64 y y) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(*.f64 (*.f64 y y) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y 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 y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(*.f64 y (fma.f64 (*.f64 y z) (*.f64 y #s(literal -1/6 binary64)) z))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(*.f64 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 z)) 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))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))
(* y z)
(*.f64 y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(*.f64 y (fma.f64 (*.f64 y z) (*.f64 y #s(literal -1/6 binary64)) z))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))
(* 1/120 (* (pow y 5) z))
(*.f64 #s(literal 1/120 binary64) (*.f64 z (pow.f64 y #s(literal 5 binary64))))
(* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))
(*.f64 (pow.f64 y #s(literal 5 binary64)) (fma.f64 z #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 z (*.f64 y y)))))
(* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))
(*.f64 (pow.f64 y #s(literal 5 binary64)) (fma.f64 z #s(literal 1/120 binary64) (fma.f64 z (/.f64 #s(literal -1/6 binary64) (*.f64 y y)) (/.f64 z (*.f64 (*.f64 y y) (*.f64 y y))))))
(* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))
(*.f64 (pow.f64 y #s(literal 5 binary64)) (fma.f64 z #s(literal 1/120 binary64) (fma.f64 z (/.f64 #s(literal -1/6 binary64) (*.f64 y y)) (/.f64 z (*.f64 (*.f64 y y) (*.f64 y y))))))
(* 1/120 (* (pow y 5) z))
(*.f64 #s(literal 1/120 binary64) (*.f64 z (pow.f64 y #s(literal 5 binary64))))
(* -1 (* (pow y 5) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2))))))
(*.f64 (pow.f64 y #s(literal 5 binary64)) (fma.f64 z #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 z (*.f64 y y)))))
(* -1 (* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2)))))))
(*.f64 (pow.f64 y #s(literal 5 binary64)) (fma.f64 z #s(literal 1/120 binary64) (fma.f64 z (/.f64 #s(literal -1/6 binary64) (*.f64 y y)) (/.f64 z (*.f64 (*.f64 y y) (*.f64 y y))))))
(* -1 (* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2)))))))
(*.f64 (pow.f64 y #s(literal 5 binary64)) (fma.f64 z #s(literal 1/120 binary64) (fma.f64 z (/.f64 #s(literal -1/6 binary64) (*.f64 y y)) (/.f64 z (*.f64 (*.f64 y y) (*.f64 y y))))))
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* -1/720 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(+ 1/24 (* -1/720 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(+ 1/24 (* -1/720 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(* -1/720 (pow y 2))
(*.f64 y (*.f64 y #s(literal -1/720 binary64)))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(*.f64 y (*.f64 y (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 y y)))))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(*.f64 y (*.f64 y (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 y y)))))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(*.f64 y (*.f64 y (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 y y)))))
(* -1/720 (pow y 2))
(*.f64 y (*.f64 y #s(literal -1/720 binary64)))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(*.f64 y (*.f64 y (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 y y)))))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(*.f64 y (*.f64 y (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 y y)))))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(*.f64 y (*.f64 y (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 y 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 y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(*.f64 y (fma.f64 (*.f64 y z) (*.f64 y #s(literal -1/6 binary64)) z))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(*.f64 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 z)) 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))

rewrite494.0ms (4.2%)

Memory
-9.4MiB live, 726.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 948×lower-fma.f32
6 928×lower-fma.f64
4 764×lower-*.f32
4 744×lower-*.f64
3 198×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048337
084325
1351325
22480325
09007322
Stop Event
iter limit
node limit
iter limit
Counts
24 → 609
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(sin.f64 y)
(*.f64 (cos.f64 y) x)
(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))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z))))
#s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z))
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)
(+.f64 (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.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))))
(*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (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)))
(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) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
#s(approx (* z (sin y)) (*.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)))
(*.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))
(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(*.f64 z (sin.f64 y))
Outputs
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(+.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))
(+.f64 (*.f64 (*.f64 (cos.f64 y) x) #s(literal 1 binary64)) (*.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 y) x) #s(literal 1 binary64)))
(exp.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))) (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))))
(-.f64 (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)))) (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)))))
(-.f64 (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))
(fma.f64 (*.f64 (cos.f64 y) x) #s(literal 1 binary64) (*.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64)))
(fma.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 y) x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z) (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))
(neg.f64 (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (sin.f64 y) z) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (cos.f64 y) x) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))))
(/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (sin.f64 y) z) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (cos.f64 y) x) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))))
(/.f64 (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (sin.f64 y) z) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (cos.f64 y) x) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (sin.f64 y) z) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (cos.f64 y) x) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))))
(/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
(/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (sin.f64 y) z) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (cos.f64 y) x) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (sin.f64 y) z) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (cos.f64 y) x) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (neg.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (sin.f64 y) z) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (cos.f64 y) x) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)))) (neg.f64 (neg.f64 (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal -1/24 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64)))) (neg.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y #s(literal -1/720 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64)) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64)) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal -1/24 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64)) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal -1/24 binary64))) (fma.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal -1/24 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64)) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal -1/24 binary64)))))))
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal -1/24 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64))))))
(*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal -1/24 binary64))))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))

eval274.0ms (2.3%)

Memory
14.1MiB live, 354.2MiB allocated
Compiler

Compiled 40 905 to 2 058 computations (95% saved)

prune397.0ms (3.4%)

Memory
-177.4MiB live, 326.4MiB allocated
Pruning

45 alts after pruning (40 fresh and 5 done)

PrunedKeptTotal
New1 197231 220
Fresh121729
Picked325
Done033
Total1 212451 257
Accuracy
100.0%
Counts
1 257 → 45
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.3%
(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)))))))
40.5%
(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 (cos.f64 y) x))
76.1%
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
99.8%
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
50.1%
(fma.f64 #s(approx (cos y) (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))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
76.1%
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 z (sin.f64 y)))
16.9%
(/.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 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (/.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
40.4%
(/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 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))))
43.0%
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
51.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* z (sin y))) (fma.f64 y z x))))
42.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* z (sin y))) (*.f64 z (sin.f64 y)))))
57.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* z (sin y))) (*.f64 x (cos.f64 y)))))
26.7%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* z (sin y)))) (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))))
31.7%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* z (sin y)))) (fma.f64 y (/.f64 z (*.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) x))))
36.4%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
50.0%
(+.f64 (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y z) (*.f64 y #s(literal -1/6 binary64)) z))))
49.8%
(+.f64 (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 y z)))
50.1%
(+.f64 (*.f64 x #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.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))))
99.5%
(*.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (*.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
40.4%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
50.3%
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x))
86.9%
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))))
93.1%
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))))
57.8%
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x (cos.f64 y)))
52.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
13.4%
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) x))) (fma.f64 y z x)) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z))))))
9.4%
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x x)) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x x)) (-.f64 (*.f64 y z) x))))
28.7%
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y z)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
17.4%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z)))) (*.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z))))))))
51.3%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 y z x) (*.f64 (-.f64 (*.f64 y z) x) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))))
28.7%
#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))))
42.2%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))
19.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
17.3%
#s(approx (+ (* x (cos y)) (* z (sin y))) (exp.f64 (log.f64 (*.f64 z (sin.f64 y)))))
43.3%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x y) (/.f64 z x) x)))
40.6%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y (+.f64 z (/.f64 x y)))))
18.6%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))
46.5%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 x (neg.f64 (fma.f64 y (/.f64 z (neg.f64 x)) #s(literal -1 binary64))))))
18.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 (*.f64 y z) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))
18.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y z) (*.f64 y #s(literal -1/6 binary64)) z))))
19.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 z (*.f64 y y)) (*.f64 z #s(literal -1/6 binary64))) z))))
18.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z))))
18.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 z #s(literal -1/6 binary64))) z))))
18.5%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z))))
Compiler

Compiled 1 992 to 973 computations (51.2% saved)

simplify291.0ms (2.5%)

Memory
0.2MiB live, 389.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (sin.f64 y) x)
cost-diff0
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
cost-diff0
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))))
cost-diff704
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
cost-diff0
(*.f64 y y)
cost-diff0
(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))
cost-diff0
#s(approx (cos y) (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)))
cost-diff0
(fma.f64 #s(approx (cos y) (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))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
cost-diff0
(fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z)
cost-diff0
(*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z))
cost-diff0
#s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z)))
cost-diff0
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z))))
cost-diff0
(*.f64 #s(literal -1/2 binary64) y)
cost-diff0
(fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z)
cost-diff0
(fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x)
cost-diff0
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x))
cost-diff0
(cos.f64 y)
cost-diff0
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
cost-diff320
(*.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (*.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
cost-diff28288
(*.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
Rules
6 078×lower-fma.f32
6 056×lower-fma.f64
3 554×lower-*.f32
3 524×lower-*.f64
2 724×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064585
0112522
1238522
2516508
31187489
43016489
57117489
08306484
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (*.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 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)
(*.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
#s(literal 1 binary64)
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x))
(fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x)
y
(fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z)
x
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
z
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z))))
#s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z)))
(*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z))
y
(fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z)
(*.f64 y y)
#s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z))))))
(*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))
(*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z))))
(*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))
#s(literal -1/5040 binary64)
(*.f64 y (*.f64 y z))
(*.f64 y z)
z
(fma.f64 #s(approx (cos y) (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))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
#s(approx (cos y) (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)))
(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))
(*.f64 y 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))
(*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
x
#s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))
(*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))
z
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(*.f64 y (*.f64 y y))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
x
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
z
(/.f64 (sin.f64 y) x)
(sin.f64 y)
y
(cos.f64 y)
Outputs
(*.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (*.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 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)
(*.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
#s(literal 1 binary64)
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
#s(literal 1 binary64)
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x))
(fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x)
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x)
y
(fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z)
(fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z)
x
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 y #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
z
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 z (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))) z))))
#s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z)))
#s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 z (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))) z)))
(*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z))
(*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 z (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))) z))
y
(fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z)
(fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 z (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))) z)
(*.f64 y y)
#s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z))))))
#s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 z (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))
(*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))
(*.f64 y (*.f64 z (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))
(*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z))))
(*.f64 z (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))
(*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))
(*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y z)))
#s(literal -1/5040 binary64)
(*.f64 y (*.f64 y z))
(*.f64 y z)
z
(fma.f64 #s(approx (cos y) (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))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
(fma.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y (*.f64 y z)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) z))))
#s(approx (cos y) (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)))
#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)))
(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))
(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 y 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))
(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))
(*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
x
#s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))
#s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y (*.f64 y z)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) z)))
(*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))
(*.f64 y (fma.f64 (*.f64 y (*.f64 y z)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) z))
z
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y)
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(*.f64 y (*.f64 y y))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
x
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
z
(/.f64 (sin.f64 y) x)
(sin.f64 y)
y
(cos.f64 y)

localize262.0ms (2.2%)

Memory
26.1MiB live, 419.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))))
accuracy99.9%
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
accuracy99.8%
(/.f64 (sin.f64 y) x)
accuracy93.1%
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
accuracy99.5%
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
accuracy98.1%
(*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))
accuracy50.7%
#s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))
accuracy50.4%
#s(approx (cos y) (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)))
accuracy99.8%
(*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))
accuracy52.3%
#s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z))))))
accuracy50.7%
#s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z)))
accuracy42.3%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z))))
accuracy100.0%
(fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z)
accuracy100.0%
(*.f64 #s(literal -1/2 binary64) y)
accuracy99.9%
(fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x)
accuracy50.3%
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x))
accuracy99.8%
(*.f64 (cos.f64 y) x)
accuracy99.8%
(*.f64 z (sin.f64 y))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
accuracy99.6%
(*.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
Samples
158.0ms256×0valid
Compiler

Compiled 413 to 61 computations (85.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 102.0ms
ival-mult: 49.0ms (48.2% of total)
ival-add: 16.0ms (15.7% of total)
const: 14.0ms (13.8% of total)
ival-sin: 8.0ms (7.9% of total)
ival-div: 7.0ms (6.9% of total)
ival-cos: 7.0ms (6.9% of total)
ival-sub: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series41.0ms (0.3%)

Memory
-19.7MiB live, 92.5MiB allocated
Counts
28 → 744
Calls
Call 1
Inputs
#<alt (*.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))>
#<alt (*.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (*.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))>
#<alt (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))>
#<alt (cos.f64 y)>
#<alt #s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x))>
#<alt (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x)>
#<alt (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z)>
#<alt (*.f64 #s(literal -1/2 binary64) y)>
#<alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z))))>
#<alt #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z)))>
#<alt (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z))>
#<alt (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z)>
#<alt (fma.f64 #s(approx (cos y) (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))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))>
#<alt #s(approx (cos y) (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)))>
#<alt (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))>
#<alt (*.f64 y y)>
#<alt (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))>
#<alt #s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))))>
#<alt (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))>
#<alt (/.f64 (sin.f64 y) x)>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))>
#<alt (*.f64 z (sin.f64 y))>
#<alt (*.f64 (cos.f64 y) x)>
#<alt #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z))))))>
#<alt (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))>
#<alt #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))>
#<alt (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))>
#<alt (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))>
Outputs
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
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#<alt z>
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#<alt (* -1/5040 (* (pow y 7) z))>
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#<alt (* -1/5040 (* (pow y 6) z))>
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#<alt x>
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#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt 1>
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#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
Calls

186 calls:

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

simplify434.0ms (3.7%)

Memory
11.1MiB live, 647.1MiB allocated
Algorithm
egg-herbie
Rules
7 594×lower-fma.f64
7 594×lower-fma.f32
6 604×lower-*.f64
6 604×lower-*.f32
2 018×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04767205
116017065
253817029
082776452
Stop Event
iter limit
node limit
Counts
744 → 730
Calls
Call 1
Inputs
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
x
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1
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(* x (+ (cos y) (/ (* 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)))))))
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(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
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(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
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(* x (+ (cos y) (/ (* z (sin y)) x)))
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(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
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(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
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(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
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(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(cos y)
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(/ (* z (sin y)) x)
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(* z (+ (/ (cos y) z) (/ (sin y) x)))
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(/ (* z (sin y)) x)
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(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
1
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(+ (cos y) (/ (* z (sin y)) x))
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(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
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(+ (cos y) (/ (* z (sin y)) x))
(/ (* z (sin y)) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(cos y)
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(cos y)
(+ (cos y) (/ (* z (sin y)) x))
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(+ (cos y) (/ (* z (sin y)) x))
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(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ 1 x)
(+ (/ 1 x) (/ (* y z) (pow x 2)))
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x)) (+ (* -1/2 (/ z (pow x 2))) (* 1/6 (/ z (pow x 2))))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ 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 (* z (sin y)))
(- (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y))))
(- (* x (- (* -1 (/ (* 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)))) (/ (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 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x)
(/ 1 (* x (cos y)))
(* -1 (/ (- (* -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))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(* -1 (/ (- (* -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)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(/ 1 (* x (cos y)))
(+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 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))))
(+ (* 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)))
(/ (- (* -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)))))) z)
(/ -1 (* z (sin y)))
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* z (sin y))
(* 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))
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))
(* 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))
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* -1/6 z)
(+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))
(+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))
(+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))
(* -1/5040 (* (pow y 4) z))
(* (pow y 4) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(* (pow y 4) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))
(* (pow y 4) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))
(* -1/5040 (* (pow y 4) z))
(* (pow y 4) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(* (pow y 4) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))
(* (pow y 4) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))
(* -1/5040 (* (pow y 2) z))
(* -1/5040 (* (pow y 2) z))
(* -1/5040 (* (pow y 2) z))
(* -1/5040 (* (pow y 2) z))
(* -1/5040 (* (pow y 2) z))
(* -1/5040 (* (pow y 2) z))
(* -1/5040 (* (pow y 2) z))
(* -1/5040 (* (pow y 2) z))
(* -1/5040 (* (pow y 2) z))
(* -1/5040 (* (pow y 2) z))
(* -1/5040 (* (pow y 2) z))
(* -1/5040 (* (pow y 2) z))
(* -1/5040 (* (pow y 2) z))
(* -1/5040 (* (pow y 2) z))
(* -1/5040 (* (pow y 2) z))
(* -1/5040 (* (pow y 2) z))
(* -1/5040 (* (pow y 2) z))
(* -1/5040 (* (pow y 2) z))
(* -1/5040 (* (pow y 2) z))
(* -1/5040 (* (pow y 2) z))
(* -1/5040 (* (pow y 2) z))
(* -1/5040 (* (pow y 2) z))
(* -1/5040 (* (pow y 2) z))
(* -1/5040 (* (pow y 2) z))
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(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
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(* 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))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
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(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
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(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(* y z)
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(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* 1/120 (* (pow y 5) z))
(* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))
(* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))
(* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))
(* 1/120 (* (pow y 5) z))
(* -1 (* (pow y 5) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2))))))
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(* -1 (* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2)))))))
-1/6
(- (* 1/120 (pow y 2)) 1/6)
(- (* 1/120 (pow y 2)) 1/6)
(- (* 1/120 (pow y 2)) 1/6)
(* 1/120 (pow y 2))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 1/120 (pow y 2))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
Outputs
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
x
(+ x (* y z))
(fma.f64 y z x)
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(fma.f64 y (fma.f64 x (*.f64 y #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 z (*.f64 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)))
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(+ (* 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)))
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(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
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(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
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(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
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(*.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 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
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(+ (* x (cos y)) (* z (sin y)))
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(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
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(* z (sin y))
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(* 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))
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(* -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)))
x
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y (+ z (* -1/2 (* x y)))))
(fma.f64 y (fma.f64 x (*.f64 y #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 z (*.f64 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)))
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(+ (* x (cos y)) (* z (sin y)))
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(*.f64 z (*.f64 (*.f64 y y) (*.f64 y (*.f64 y #s(literal -1/5040 binary64)))))
(* (pow y 4) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(*.f64 (fma.f64 z (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (*.f64 z #s(literal -1/5040 binary64))) (*.f64 (*.f64 y y) (*.f64 y y)))
(* (pow y 4) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (fma.f64 z #s(literal -1/5040 binary64) (fma.f64 z (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.f64 (*.f64 z #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))))))
(* (pow y 4) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (fma.f64 z #s(literal -1/5040 binary64) (fma.f64 z (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.f64 (*.f64 z #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))))))
(* -1/5040 (* (pow y 2) z))
(*.f64 (*.f64 y y) (*.f64 z #s(literal -1/5040 binary64)))
(* -1/5040 (* (pow y 2) z))
(*.f64 (*.f64 y y) (*.f64 z #s(literal -1/5040 binary64)))
(* -1/5040 (* (pow y 2) z))
(*.f64 (*.f64 y y) (*.f64 z #s(literal -1/5040 binary64)))
(* -1/5040 (* (pow y 2) z))
(*.f64 (*.f64 y y) (*.f64 z #s(literal -1/5040 binary64)))
(* -1/5040 (* (pow y 2) z))
(*.f64 (*.f64 y y) (*.f64 z #s(literal -1/5040 binary64)))
(* -1/5040 (* (pow y 2) z))
(*.f64 (*.f64 y y) (*.f64 z #s(literal -1/5040 binary64)))
(* -1/5040 (* (pow y 2) z))
(*.f64 (*.f64 y y) (*.f64 z #s(literal -1/5040 binary64)))
(* -1/5040 (* (pow y 2) z))
(*.f64 (*.f64 y y) (*.f64 z #s(literal -1/5040 binary64)))
(* -1/5040 (* (pow y 2) z))
(*.f64 (*.f64 y y) (*.f64 z #s(literal -1/5040 binary64)))
(* -1/5040 (* (pow y 2) z))
(*.f64 (*.f64 y y) (*.f64 z #s(literal -1/5040 binary64)))
(* -1/5040 (* (pow y 2) z))
(*.f64 (*.f64 y y) (*.f64 z #s(literal -1/5040 binary64)))
(* -1/5040 (* (pow y 2) z))
(*.f64 (*.f64 y y) (*.f64 z #s(literal -1/5040 binary64)))
(* -1/5040 (* (pow y 2) z))
(*.f64 (*.f64 y y) (*.f64 z #s(literal -1/5040 binary64)))
(* -1/5040 (* (pow y 2) z))
(*.f64 (*.f64 y y) (*.f64 z #s(literal -1/5040 binary64)))
(* -1/5040 (* (pow y 2) z))
(*.f64 (*.f64 y y) (*.f64 z #s(literal -1/5040 binary64)))
(* -1/5040 (* (pow y 2) z))
(*.f64 (*.f64 y y) (*.f64 z #s(literal -1/5040 binary64)))
(* -1/5040 (* (pow y 2) z))
(*.f64 (*.f64 y y) (*.f64 z #s(literal -1/5040 binary64)))
(* -1/5040 (* (pow y 2) z))
(*.f64 (*.f64 y y) (*.f64 z #s(literal -1/5040 binary64)))
(* -1/5040 (* (pow y 2) z))
(*.f64 (*.f64 y y) (*.f64 z #s(literal -1/5040 binary64)))
(* -1/5040 (* (pow y 2) z))
(*.f64 (*.f64 y y) (*.f64 z #s(literal -1/5040 binary64)))
(* -1/5040 (* (pow y 2) z))
(*.f64 (*.f64 y y) (*.f64 z #s(literal -1/5040 binary64)))
(* -1/5040 (* (pow y 2) z))
(*.f64 (*.f64 y y) (*.f64 z #s(literal -1/5040 binary64)))
(* -1/5040 (* (pow y 2) z))
(*.f64 (*.f64 y y) (*.f64 z #s(literal -1/5040 binary64)))
(* -1/5040 (* (pow y 2) z))
(*.f64 (*.f64 y y) (*.f64 z #s(literal -1/5040 binary64)))
(* 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 y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(*.f64 z (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) 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 y y) (fma.f64 z #s(literal -1/6 binary64) (*.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 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))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 z (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 z (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 z (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 z (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 z (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 z (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 z (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 z (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 z (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 z (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 z (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 z (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y))
(* y z)
(*.f64 y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(*.f64 z (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(*.f64 z (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y))
(* 1/120 (* (pow y 5) z))
(*.f64 #s(literal 1/120 binary64) (*.f64 z (pow.f64 y #s(literal 5 binary64))))
(* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))
(*.f64 (pow.f64 y #s(literal 5 binary64)) (fma.f64 z #s(literal 1/120 binary64) (*.f64 z (/.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))
(*.f64 (pow.f64 y #s(literal 5 binary64)) (fma.f64 z (/.f64 #s(literal -1/6 binary64) (*.f64 y y)) (fma.f64 z #s(literal 1/120 binary64) (/.f64 z (*.f64 (*.f64 y y) (*.f64 y y))))))
(* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))
(*.f64 (pow.f64 y #s(literal 5 binary64)) (fma.f64 z (/.f64 #s(literal -1/6 binary64) (*.f64 y y)) (fma.f64 z #s(literal 1/120 binary64) (/.f64 z (*.f64 (*.f64 y y) (*.f64 y y))))))
(* 1/120 (* (pow y 5) z))
(*.f64 #s(literal 1/120 binary64) (*.f64 z (pow.f64 y #s(literal 5 binary64))))
(* -1 (* (pow y 5) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2))))))
(*.f64 (pow.f64 y #s(literal 5 binary64)) (fma.f64 z #s(literal 1/120 binary64) (*.f64 z (/.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(* -1 (* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2)))))))
(*.f64 (pow.f64 y #s(literal 5 binary64)) (fma.f64 z (/.f64 #s(literal -1/6 binary64) (*.f64 y y)) (fma.f64 z #s(literal 1/120 binary64) (/.f64 z (*.f64 (*.f64 y y) (*.f64 y y))))))
(* -1 (* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2)))))))
(*.f64 (pow.f64 y #s(literal 5 binary64)) (fma.f64 z (/.f64 #s(literal -1/6 binary64) (*.f64 y y)) (fma.f64 z #s(literal 1/120 binary64) (/.f64 z (*.f64 (*.f64 y y) (*.f64 y y))))))
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow y 2)) 1/6)
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(- (* 1/120 (pow y 2)) 1/6)
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(- (* 1/120 (pow y 2)) 1/6)
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(* 1/120 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* 1/120 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y))))

rewrite425.0ms (3.6%)

Memory
25.2MiB live, 625.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 736×lower-*.f32
4 706×lower-*.f64
3 898×lower-/.f32
3 894×lower-/.f64
3 664×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064473
0112416
1443416
22981411
08317406
Stop Event
iter limit
node limit
iter limit
Counts
28 → 581
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(*.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (*.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(cos.f64 y)
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x))
(fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x)
(fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z)
(*.f64 #s(literal -1/2 binary64) y)
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z))))
#s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z)))
(*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z))
(fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z)
(fma.f64 #s(approx (cos y) (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))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
#s(approx (cos y) (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)))
(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))
(*.f64 y y)
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))))
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
(/.f64 (sin.f64 y) x)
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(*.f64 (cos.f64 y) x)
#s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z))))))
(*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))
#s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))
(*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
Outputs
#s(literal 1 binary64)
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)) (*.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))
(+.f64 (*.f64 (*.f64 (cos.f64 y) x) #s(literal 1 binary64)) (*.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 y) x) #s(literal 1 binary64)))
(exp.f64 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))) (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))))
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (*.f64 (cos.f64 y) x) #s(literal 1 binary64) (*.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)))
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(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (neg.f64 y))) z)) (neg.f64 (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (neg.f64 y))))
(*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))
(*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) z)
(+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))
(+.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (/.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
(fma.f64 (*.f64 y #s(literal 1/120 binary64)) y #s(literal -1/6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/36 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/36 binary64)))))
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)) (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))))
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))))
(/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/36 binary64)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64))) (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/36 binary64)))) (neg.f64 (neg.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) (neg.f64 (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/36 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))))
(*.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))

eval217.0ms (1.8%)

Memory
-16.9MiB live, 452.6MiB allocated
Compiler

Compiled 49 250 to 2 201 computations (95.5% saved)

prune278.0ms (2.4%)

Memory
27.0MiB live, 414.3MiB allocated
Pruning

51 alts after pruning (43 fresh and 8 done)

PrunedKeptTotal
New1 481181 499
Fresh102535
Picked235
Done055
Total1 493511 544
Accuracy
100.0%
Counts
1 544 → 51
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.3%
(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)))))))
40.5%
(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 (cos.f64 y) x))
76.1%
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
99.8%
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
50.1%
(fma.f64 #s(approx (cos y) (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))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
50.0%
(fma.f64 #s(approx (cos y) (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))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
49.8%
(fma.f64 #s(approx (cos y) (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))) x #s(approx (* z (sin y)) (*.f64 y z)))
76.1%
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 z (sin.f64 y)))
43.0%
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
42.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* z (sin y))) (*.f64 z (sin.f64 y)))))
57.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* z (sin y))) (*.f64 x (cos.f64 y)))))
26.7%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* z (sin y)))) (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))))
31.7%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* z (sin y)))) (fma.f64 y (/.f64 z (*.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) x))))
36.4%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
57.7%
(*.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (*.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) #s(approx (/ 1 (- (* (cos y) x) (* z (sin y)))) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))))
40.4%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
42.9%
(*.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
80.3%
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 (/.f64 (sin.f64 y) x) (*.f64 z x) (*.f64 (cos.f64 y) x)))
99.7%
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 (*.f64 x (/.f64 (sin.f64 y) x)) z (*.f64 (cos.f64 y) x)))
50.3%
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x))
32.7%
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) (*.f64 (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))) x))
33.9%
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y #s(approx (+ (* x (* -1/2 y)) z) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) x))
50.6%
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (/.f64 (*.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 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) x) (-.f64 (*.f64 (sin.f64 y) (/.f64 z x)) (cos.f64 y))))
86.9%
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))))
89.3%
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))))
69.3%
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) #s(approx (cos y) #s(literal 1 binary64)))))
57.8%
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x (cos.f64 y)))
46.5%
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))))
35.6%
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 z (sin.f64 y)) x))))
92.9%
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x #s(approx (+ (* z (/ (sin y) x)) (cos y)) (*.f64 z (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x))))))
36.5%
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64))))
43.3%
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) #s(approx (+ (* y (+ (* x (* -1/2 y)) z)) x) (*.f64 z (+.f64 y (/.f64 (fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x) z)))))
3.0%
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) #s(approx (+ (* y (+ (* x (* -1/2 y)) z)) x) (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)))))
52.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
13.4%
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) x))) (fma.f64 y z x)) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z))))))
9.4%
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x x)) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x x)) (-.f64 (*.f64 y z) x))))
28.7%
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y z)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
17.4%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z)))) (*.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z))))))))
51.3%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 y z x) (*.f64 (-.f64 (*.f64 y z) x) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))))
28.7%
#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))))
42.2%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))
19.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
40.6%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y (+.f64 z (/.f64 x y)))))
18.6%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))
18.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 (*.f64 y z) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))
18.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y z) (*.f64 y #s(literal -1/6 binary64)) z))))
19.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 z (*.f64 y y)) (*.f64 z #s(literal -1/6 binary64))) z))))
18.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z))))
18.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 z #s(literal -1/6 binary64))) z))))
18.5%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z))))
Compiler

Compiled 2 834 to 842 computations (70.3% saved)

regimes137.0ms (1.2%)

Memory
-26.8MiB live, 238.6MiB allocated
Counts
91 → 1
Calls
Call 1
Inputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) #s(approx (+ (* y (+ (* x (* -1/2 y)) z)) x) (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y #s(approx (+ (* x (* -1/2 y)) z) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) 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 (+ (* (cos y) x) (* z (sin y))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) z) x))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y (+.f64 z (/.f64 x y)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 z #s(literal -1/6 binary64))) z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y z) (*.f64 y #s(literal -1/6 binary64)) z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 (*.f64 y z) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (+ (* x (cos y)) (* z (sin 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 (*.f64 x y) (/.f64 z x) x)))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 x (neg.f64 (fma.f64 y (/.f64 z (neg.f64 x)) #s(literal -1 binary64))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x))
#s(approx (+ (* (cos y) x) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal -1/6 binary64)))) z) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* z (sin y))) (fma.f64 y z x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) #s(approx (+ (* y (+ (* x (* -1/2 y)) z)) x) (*.f64 z (+.f64 y (/.f64 (fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x) z)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 y z x) (*.f64 (-.f64 (*.f64 y z) x) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))))
(fma.f64 #s(approx (cos y) (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))) x #s(approx (* z (sin y)) (*.f64 y z)))
(+.f64 (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 y z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* z (sin y)))) (fma.f64 y (/.f64 z (*.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 z (*.f64 y y)) (*.f64 z #s(literal -1/6 binary64))) z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y z)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
(+.f64 (*.f64 x #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.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))))
(fma.f64 #s(approx (cos y) (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))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) (-.f64 (*.f64 y z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y z) x))))
(+.f64 (*.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 (* z (sin y)) (*.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))))
(+.f64 (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y z) (*.f64 y #s(literal -1/6 binary64)) z))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) (*.f64 (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))) x))
(fma.f64 #s(approx (cos y) (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))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
(+.f64 (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.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))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) x))) (fma.f64 y z x)) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) x))) (fma.f64 y z x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z)))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 z z))) (-.f64 (*.f64 y z) x)) (*.f64 (-.f64 (*.f64 y z) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z)))) (*.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z))))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* z (sin y)))) (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))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x x)) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x x)) (-.f64 (*.f64 y 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 (+ (* (cos y) x) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x (cos.f64 y)))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y)))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 z (sin.f64 y)) x))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) #s(approx (cos y) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* z (sin y))) (*.f64 x (cos.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* z (sin y))) (*.f64 z (sin.f64 y)))))
(+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))))
(+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.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))))
(+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.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))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 (*.f64 x (/.f64 (sin.f64 y) x)) z (*.f64 (cos.f64 y) x)))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 (/.f64 (sin.f64 y) x) (*.f64 z x) (*.f64 (cos.f64 y) x)))
(/.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) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x #s(approx (+ (* z (/ (sin y) x)) (cos y)) (*.f64 z (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (exp.f64 (log.f64 (*.f64 z (sin.f64 y)))))
(+.f64 (*.f64 x (cos.f64 y)) (exp.f64 (log.f64 (*.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (*.f64 (*.f64 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 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (/.f64 (*.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 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) x) (-.f64 (*.f64 (sin.f64 y) (/.f64 z x)) (cos.f64 y))))
(*.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (*.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) #s(approx (/ 1 (- (* (cos y) x) (* z (sin y)))) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))))
(*.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (*.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.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)))))))
(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 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)))))))
(/.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 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (/.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(*.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.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:

44.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
33.0ms
z
29.0ms
x
26.0ms
y
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes87.0ms (0.7%)

Memory
8.1MiB live, 198.8MiB allocated
Counts
64 → 3
Calls
Call 1
Inputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) #s(approx (+ (* y (+ (* x (* -1/2 y)) z)) x) (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y #s(approx (+ (* x (* -1/2 y)) z) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) 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 (+ (* (cos y) x) (* z (sin y))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) z) x))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y (+.f64 z (/.f64 x y)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 z #s(literal -1/6 binary64))) z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y z) (*.f64 y #s(literal -1/6 binary64)) z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 (*.f64 y z) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (+ (* x (cos y)) (* z (sin 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 (*.f64 x y) (/.f64 z x) x)))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 x (neg.f64 (fma.f64 y (/.f64 z (neg.f64 x)) #s(literal -1 binary64))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x))
#s(approx (+ (* (cos y) x) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal -1/6 binary64)))) z) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* z (sin y))) (fma.f64 y z x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) #s(approx (+ (* y (+ (* x (* -1/2 y)) z)) x) (*.f64 z (+.f64 y (/.f64 (fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x) z)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 y z x) (*.f64 (-.f64 (*.f64 y z) x) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))))
(fma.f64 #s(approx (cos y) (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))) x #s(approx (* z (sin y)) (*.f64 y z)))
(+.f64 (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 y z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* z (sin y)))) (fma.f64 y (/.f64 z (*.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 z (*.f64 y y)) (*.f64 z #s(literal -1/6 binary64))) z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y z)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
(+.f64 (*.f64 x #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.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))))
(fma.f64 #s(approx (cos y) (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))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) (-.f64 (*.f64 y z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y z) x))))
(+.f64 (*.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 (* z (sin y)) (*.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))))
(+.f64 (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y z) (*.f64 y #s(literal -1/6 binary64)) z))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) (*.f64 (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))) x))
(fma.f64 #s(approx (cos y) (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))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
(+.f64 (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.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))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) x))) (fma.f64 y z x)) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) x))) (fma.f64 y z x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z)))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 z z))) (-.f64 (*.f64 y z) x)) (*.f64 (-.f64 (*.f64 y z) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z)))) (*.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z))))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* z (sin y)))) (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))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x x)) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x x)) (-.f64 (*.f64 y 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 (+ (* (cos y) x) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x (cos.f64 y)))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y)))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 z (sin.f64 y)) x))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) #s(approx (cos y) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* z (sin y))) (*.f64 x (cos.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* z (sin y))) (*.f64 z (sin.f64 y)))))
(+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))))
(+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.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))))
(+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.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))))
Outputs
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 z (sin.f64 y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
Calls

4 calls:

23.0ms
y
22.0ms
z
20.0ms
x
19.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Results
AccuracySegmentsBranch
83.9%3x
83.4%3y
87.3%3z
76.1%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes20.0ms (0.2%)

Memory
6.4MiB live, 44.3MiB allocated
Counts
54 → 3
Calls
Call 1
Inputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) #s(approx (+ (* y (+ (* x (* -1/2 y)) z)) x) (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y #s(approx (+ (* x (* -1/2 y)) z) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) 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 (+ (* (cos y) x) (* z (sin y))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) z) x))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y (+.f64 z (/.f64 x y)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 z #s(literal -1/6 binary64))) z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y z) (*.f64 y #s(literal -1/6 binary64)) z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 (*.f64 y z) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (+ (* x (cos y)) (* z (sin 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 (*.f64 x y) (/.f64 z x) x)))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 x (neg.f64 (fma.f64 y (/.f64 z (neg.f64 x)) #s(literal -1 binary64))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x))
#s(approx (+ (* (cos y) x) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal -1/6 binary64)))) z) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* z (sin y))) (fma.f64 y z x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) #s(approx (+ (* y (+ (* x (* -1/2 y)) z)) x) (*.f64 z (+.f64 y (/.f64 (fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x) z)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 y z x) (*.f64 (-.f64 (*.f64 y z) x) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))))
(fma.f64 #s(approx (cos y) (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))) x #s(approx (* z (sin y)) (*.f64 y z)))
(+.f64 (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 y z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* z (sin y)))) (fma.f64 y (/.f64 z (*.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 z (*.f64 y y)) (*.f64 z #s(literal -1/6 binary64))) z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y z)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
(+.f64 (*.f64 x #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.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))))
(fma.f64 #s(approx (cos y) (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))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) (-.f64 (*.f64 y z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y z) x))))
(+.f64 (*.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 (* z (sin y)) (*.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))))
(+.f64 (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y z) (*.f64 y #s(literal -1/6 binary64)) z))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) (*.f64 (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))) x))
(fma.f64 #s(approx (cos y) (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))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
(+.f64 (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.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))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) x))) (fma.f64 y z x)) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) x))) (fma.f64 y z x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z)))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 z z))) (-.f64 (*.f64 y z) x)) (*.f64 (-.f64 (*.f64 y z) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z)))) (*.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z))))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* z (sin y)))) (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))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x x)) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x x)) (-.f64 (*.f64 y 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 (+ (* (cos y) x) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x (cos.f64 y)))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 z (sin.f64 y)))
Outputs
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 z (sin.f64 y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 z (sin.f64 y)))
Calls

1 calls:

17.0ms
z
Results
AccuracySegmentsBranch
87.3%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes79.0ms (0.7%)

Memory
22.9MiB live, 99.3MiB allocated
Counts
53 → 4
Calls
Call 1
Inputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) #s(approx (+ (* y (+ (* x (* -1/2 y)) z)) x) (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y #s(approx (+ (* x (* -1/2 y)) z) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) 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 (+ (* (cos y) x) (* z (sin y))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) z) x))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y (+.f64 z (/.f64 x y)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 z #s(literal -1/6 binary64))) z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y z) (*.f64 y #s(literal -1/6 binary64)) z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 (*.f64 y z) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (+ (* x (cos y)) (* z (sin 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 (*.f64 x y) (/.f64 z x) x)))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 x (neg.f64 (fma.f64 y (/.f64 z (neg.f64 x)) #s(literal -1 binary64))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x))
#s(approx (+ (* (cos y) x) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal -1/6 binary64)))) z) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* z (sin y))) (fma.f64 y z x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) #s(approx (+ (* y (+ (* x (* -1/2 y)) z)) x) (*.f64 z (+.f64 y (/.f64 (fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x) z)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 y z x) (*.f64 (-.f64 (*.f64 y z) x) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))))
(fma.f64 #s(approx (cos y) (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))) x #s(approx (* z (sin y)) (*.f64 y z)))
(+.f64 (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 y z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* z (sin y)))) (fma.f64 y (/.f64 z (*.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 z (*.f64 y y)) (*.f64 z #s(literal -1/6 binary64))) z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y z)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
(+.f64 (*.f64 x #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.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))))
(fma.f64 #s(approx (cos y) (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))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) (-.f64 (*.f64 y z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y z) x))))
(+.f64 (*.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 (* z (sin y)) (*.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))))
(+.f64 (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y z) (*.f64 y #s(literal -1/6 binary64)) z))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) (*.f64 (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))) x))
(fma.f64 #s(approx (cos y) (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))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
(+.f64 (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.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))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) x))) (fma.f64 y z x)) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) x))) (fma.f64 y z x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z)))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 z z))) (-.f64 (*.f64 y z) x)) (*.f64 (-.f64 (*.f64 y z) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z)))) (*.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z))))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* z (sin y)))) (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))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x x)) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x x)) (-.f64 (*.f64 y 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 (+ (* (cos y) x) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x (cos.f64 y)))
Outputs
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
(fma.f64 #s(approx (cos y) (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))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))
Calls

3 calls:

43.0ms
x
17.0ms
z
15.0ms
y
Results
AccuracySegmentsBranch
83.2%4y
74.0%3x
76.0%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes67.0ms (0.6%)

Memory
-17.8MiB live, 97.2MiB allocated
Counts
50 → 3
Calls
Call 1
Inputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) #s(approx (+ (* y (+ (* x (* -1/2 y)) z)) x) (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y #s(approx (+ (* x (* -1/2 y)) z) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) 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 (+ (* (cos y) x) (* z (sin y))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) z) x))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y (+.f64 z (/.f64 x y)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 z #s(literal -1/6 binary64))) z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y z) (*.f64 y #s(literal -1/6 binary64)) z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 (*.f64 y z) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (+ (* x (cos y)) (* z (sin 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 (*.f64 x y) (/.f64 z x) x)))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 x (neg.f64 (fma.f64 y (/.f64 z (neg.f64 x)) #s(literal -1 binary64))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x))
#s(approx (+ (* (cos y) x) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal -1/6 binary64)))) z) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* z (sin y))) (fma.f64 y z x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) #s(approx (+ (* y (+ (* x (* -1/2 y)) z)) x) (*.f64 z (+.f64 y (/.f64 (fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x) z)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 y z x) (*.f64 (-.f64 (*.f64 y z) x) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))))
(fma.f64 #s(approx (cos y) (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))) x #s(approx (* z (sin y)) (*.f64 y z)))
(+.f64 (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 y z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* z (sin y)))) (fma.f64 y (/.f64 z (*.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 z (*.f64 y y)) (*.f64 z #s(literal -1/6 binary64))) z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y z)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
(+.f64 (*.f64 x #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.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))))
(fma.f64 #s(approx (cos y) (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))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) (-.f64 (*.f64 y z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y z) x))))
(+.f64 (*.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 (* z (sin y)) (*.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))))
(+.f64 (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y z) (*.f64 y #s(literal -1/6 binary64)) z))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) (*.f64 (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))) x))
(fma.f64 #s(approx (cos y) (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))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
(+.f64 (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.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))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) x))) (fma.f64 y z x)) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) x))) (fma.f64 y z x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z)))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 z z))) (-.f64 (*.f64 y z) x)) (*.f64 (-.f64 (*.f64 y z) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z)))) (*.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z))))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* z (sin y)))) (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))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x x)) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x x)) (-.f64 (*.f64 y 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)))
(fma.f64 #s(approx (cos y) (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))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
Calls

3 calls:

16.0ms
z
15.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
14.0ms
y
Results
AccuracySegmentsBranch
68.9%3z
61.9%3(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
74.7%3y
Compiler

Compiled 20 to 14 computations (30% saved)

regimes67.0ms (0.6%)

Memory
-22.1MiB live, 115.9MiB allocated
Counts
49 → 1
Calls
Call 1
Inputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) #s(approx (+ (* y (+ (* x (* -1/2 y)) z)) x) (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y #s(approx (+ (* x (* -1/2 y)) z) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) 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 (+ (* (cos y) x) (* z (sin y))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) z) x))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y (+.f64 z (/.f64 x y)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 z #s(literal -1/6 binary64))) z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y z) (*.f64 y #s(literal -1/6 binary64)) z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 (*.f64 y z) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (+ (* x (cos y)) (* z (sin 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 (*.f64 x y) (/.f64 z x) x)))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 x (neg.f64 (fma.f64 y (/.f64 z (neg.f64 x)) #s(literal -1 binary64))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x))
#s(approx (+ (* (cos y) x) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal -1/6 binary64)))) z) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* z (sin y))) (fma.f64 y z x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) #s(approx (+ (* y (+ (* x (* -1/2 y)) z)) x) (*.f64 z (+.f64 y (/.f64 (fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x) z)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 y z x) (*.f64 (-.f64 (*.f64 y z) x) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))))
(fma.f64 #s(approx (cos y) (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))) x #s(approx (* z (sin y)) (*.f64 y z)))
(+.f64 (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 y z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* z (sin y)))) (fma.f64 y (/.f64 z (*.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 z (*.f64 y y)) (*.f64 z #s(literal -1/6 binary64))) z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y z)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))
(+.f64 (*.f64 x #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.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))))
(fma.f64 #s(approx (cos y) (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))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) (-.f64 (*.f64 y z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y z) x))))
(+.f64 (*.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 (* z (sin y)) (*.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))))
(+.f64 (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y z) (*.f64 y #s(literal -1/6 binary64)) z))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) (*.f64 (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))) x))
(fma.f64 #s(approx (cos y) (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))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
(+.f64 (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.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))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) x))) (fma.f64 y z x)) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) x))) (fma.f64 y z x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z)))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 z z))) (-.f64 (*.f64 y z) x)) (*.f64 (-.f64 (*.f64 y z) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z)))) (*.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z))))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* z (sin y)))) (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))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x x)) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x x)) (-.f64 (*.f64 y z) x))))
Outputs
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
Calls

4 calls:

19.0ms
y
16.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
15.0ms
z
14.0ms
x
Results
AccuracySegmentsBranch
52.0%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
52.0%1z
52.0%1x
52.0%1y
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes7.0ms (0.1%)

Memory
21.4MiB live, 21.4MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64))))
Outputs
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))
Calls

4 calls:

2.0ms
y
2.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
2.0ms
z
2.0ms
x
Results
AccuracySegmentsBranch
36.5%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
39.5%2z
40.4%3x
36.5%1y
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes7.0ms (0.1%)

Memory
-22.4MiB live, 16.9MiB 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:

2.0ms
x
1.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
1.0ms
z
1.0ms
y
Results
AccuracySegmentsBranch
18.6%1y
18.6%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
18.6%1x
18.6%1z
Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch41.0ms (0.3%)

Memory
-2.6MiB live, 75.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
3.0817352078004424e-181
2.7653577441248454e-178
20.0ms
-1.8093760019344273e-55
-4.2828704993332055e-62
Samples
24.0ms272×0valid
Compiler

Compiled 372 to 252 computations (32.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-cos: 6.0ms (34.8% of total)
ival-sin: 6.0ms (34.8% of total)
ival-mult: 4.0ms (23.2% of total)
ival-add: 1.0ms (5.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
3.0817352078004424e-181
2.7653577441248454e-178
1.0ms
-1.8093760019344273e-55
-4.2828704993332055e-62
Compiler

Compiled 372 to 252 computations (32.3% saved)

bsearch93.0ms (0.8%)

Memory
14.1MiB live, 91.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
54.0ms
2.5499684890557816e+62
1.0330886158277083e+66
17.0ms
0.27739869641040776
2834.176686299195
18.0ms
-168083714694478500.0
-0.014215202539804265
Samples
73.0ms416×0valid
Compiler

Compiled 1 023 to 578 computations (43.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-cos: 45.0ms (71.5% of total)
ival-sin: 11.0ms (17.5% of total)
ival-mult: 5.0ms (7.9% of total)
ival-add: 2.0ms (3.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
6.0MiB live, 6.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
0.27739869641040776
2834.176686299195
1.0ms
-168083714694478500.0
-0.014215202539804265
Compiler

Compiled 879 to 482 computations (45.2% saved)

bsearch37.0ms (0.3%)

Memory
-20.6MiB live, 23.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
35.0ms
1.511262292689267e+111
3.2098293674426267e+119
Samples
30.0ms144×0valid
Compiler

Compiled 177 to 113 computations (36.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-cos: 3.0ms (37.3% of total)
ival-mult: 2.0ms (24.8% of total)
ival-sin: 2.0ms (24.8% of total)
ival-add: 1.0ms (12.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify9.0ms (0.1%)

Memory
28.7MiB live, 28.7MiB allocated
Algorithm
egg-herbie
Rules
16×*-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076347
187347
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(if (<=.f64 z #s(literal -5201597758707563/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 4927435867031971/18249762470488780874564686422801165299572914028994239722316770071597100668834709546023651245269485599114569238294377629242754818885501751993010645278888856753007978697441059800331496768986415104 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))))
(if (<=.f64 z #s(literal -5201597758707563/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 4927435867031971/18249762470488780874564686422801165299572914028994239722316770071597100668834709546023651245269485599114569238294377629242754818885501751993010645278888856753007978697441059800331496768986415104 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 z (sin.f64 y)))))
(if (<=.f64 y #s(literal -6124895493223875/9007199254740992 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 8286623314361713/9007199254740992 binary64)) (fma.f64 #s(approx (cos y) (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))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) (if (<=.f64 y #s(literal 349999999999999983712745046681866484495561723304188661962113024 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y))))))
(if (<=.f64 y #s(literal -6124895493223875/9007199254740992 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 8286623314361713/9007199254740992 binary64)) (fma.f64 #s(approx (cos y) (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))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) #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 6500000000000000101136204841534479657743309079986899316903508772800419577570912071222405034447808409895340825640960 binary64)) #s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x #s(approx (+ (* z (/ (sin y) x)) (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 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(if (<=.f64 z #s(literal -5201597758707563/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 4927435867031971/18249762470488780874564686422801165299572914028994239722316770071597100668834709546023651245269485599114569238294377629242754818885501751993010645278888856753007978697441059800331496768986415104 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))))
(if (<=.f64 z #s(literal -5201597758707563/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 4927435867031971/18249762470488780874564686422801165299572914028994239722316770071597100668834709546023651245269485599114569238294377629242754818885501751993010645278888856753007978697441059800331496768986415104 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (fma.f64 (sin.f64 y) z (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))))
(if (<=.f64 z #s(literal -5201597758707563/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 4927435867031971/18249762470488780874564686422801165299572914028994239722316770071597100668834709546023651245269485599114569238294377629242754818885501751993010645278888856753007978697441059800331496768986415104 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -5201597758707563/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 4927435867031971/18249762470488780874564686422801165299572914028994239722316770071597100668834709546023651245269485599114569238294377629242754818885501751993010645278888856753007978697441059800331496768986415104 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 z (sin.f64 y)))))
(if (<=.f64 y #s(literal -6124895493223875/9007199254740992 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 8286623314361713/9007199254740992 binary64)) (fma.f64 #s(approx (cos y) (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))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) (if (<=.f64 y #s(literal 349999999999999983712745046681866484495561723304188661962113024 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y))))))
(if (<=.f64 y #s(literal -6124895493223875/9007199254740992 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 8286623314361713/9007199254740992 binary64)) (fma.f64 #s(approx (cos y) (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))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) (if (<=.f64 y #s(literal 349999999999999983712745046681866484495561723304188661962113024 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y))))))
(if (<=.f64 y #s(literal -6124895493223875/9007199254740992 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 8286623314361713/9007199254740992 binary64)) (fma.f64 #s(approx (cos y) (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))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
(if (<=.f64 y #s(literal -6124895493223875/9007199254740992 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 8286623314361713/9007199254740992 binary64)) (fma.f64 #s(approx (cos y) (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))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
(if (<=.f64 z #s(literal 6500000000000000101136204841534479657743309079986899316903508772800419577570912071222405034447808409895340825640960 binary64)) #s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)))) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))

soundness1.9s (16.1%)

Memory
-4.2MiB live, 1 150.0MiB allocated
Rules
14 080×lower-fma.f64
14 080×lower-fma.f32
13 050×lower-fma.f32
13 042×lower-fma.f64
11 922×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048337
084325
1351325
22480325
09007322
01972986
15962902
216902878
334512872
470942872
082452601
0819
01319
12919
218519
3183619
0838618
029145
050130
1150130
2878130
08443129
03986056
113265900
245265803
084805340
04767205
116017065
253817029
082776452
093620
1295616
2892610
32078604
43746604
56389604
08805554
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 688 to 279 computations (59.4% saved)

preprocess97.0ms (0.8%)

Memory
-16.5MiB live, 101.9MiB allocated
Compiler

Compiled 440 to 118 computations (73.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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