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

Time bar (total: 13.5s)

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample2.3s (16.9%)

Memory
-12.9MiB live, 1 419.1MiB allocated
Samples
1.9s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.6s
ival-cos: 835.0ms (53% of total)
ival-sin: 514.0ms (32.6% of total)
ival-mult: 130.0ms (8.2% of total)
ival-add: 88.0ms (5.6% of total)
ival-true: 6.0ms (0.4% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

preprocess84.0ms (0.6%)

Memory
13.1MiB live, 50.6MiB allocated
Algorithm
1×egg-herbie
Rules
162×associate-*r*
160×unsub-neg
146×associate-*l*
132×distribute-lft-neg-in
106×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

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

explain172.0ms (1.3%)

Memory
-6.3MiB live, 158.7MiB 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
102.0ms512×0valid
Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-sin: 23.0ms (54.5% of total)
ival-cos: 10.0ms (23.7% of total)
ival-mult: 7.0ms (16.6% of total)
ival-add: 2.0ms (4.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify5.0ms (0%)

Memory
6.4MiB live, 6.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize39.0ms (0.3%)

Memory
-5.3MiB live, 33.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
✓accuracy100.0%
(sin.f64 y)
✓accuracy99.9%
(*.f64 x (cos.f64 y))
✓accuracy99.8%
(*.f64 z (sin.f64 y))
Samples
31.0ms256×0valid
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 (41.2% of total)
ival-sin: 5.0ms (34.3% of total)
ival-mult: 3.0ms (20.6% of total)
ival-add: 1.0ms (6.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
9.3MiB live, 9.3MiB allocated
Counts
5 → 108
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))>
#<alt (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))>
#<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)>
Calls

27 calls:

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

rewrite566.0ms (4.2%)

Memory
21.4MiB live, 967.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
11 480×lower-fma.f64
11 480×lower-fma.f32
4 168×lower-*.f32
4 164×lower-*.f64
4 068×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
01321
12921
218521
3183621
0838620
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 177
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))
(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)))))))))
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(*.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))))
(sin.f64 y)

simplify377.0ms (2.8%)

Memory
-9.8MiB live, 522.9MiB allocated
Algorithm
1×egg-herbie
Rules
11 652×lower-fma.f64
11 652×lower-fma.f32
4 396×lower-*.f64
4 396×lower-*.f32
2 464×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109682
1343678
2987666
32638660
44676660
57002660
08182604
Stop Event
1×iter limit
1×node limit
Counts
108 → 105
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))
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)
Outputs
(* z (sin y))
(*.f64 z (sin.f64 y))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
x
(+ x (* y z))
(fma.f64 z y x)
(+ x (* y (+ z (* -1/2 (* x y)))))
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) 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 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(fma.f64 z (sin.f64 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 (cos y))
(*.f64 x (cos.f64 y))
x
(+ x (* -1/2 (* x (pow y 2))))
(fma.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(fma.f64 (*.f64 y (*.f64 y 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 y (*.f64 y x)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) 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 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(* 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 #s(literal -1/6 binary64) (*.f64 y (*.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 (*.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 #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 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 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)

eval32.0ms (0.2%)

Memory
-17.4MiB live, 62.3MiB allocated
Compiler

Compiled 10 107 to 553 computations (94.5% saved)

prune40.0ms (0.3%)

Memory
0.9MiB live, 78.4MiB allocated
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New26616282
Fresh000
Picked101
Done000
Total26716283
Accuracy
99.9%
Counts
283 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.9%
(fma.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
▶99.9%
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
▶59.0%
(fma.f64 z y x)
58.0%
(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)
58.5%
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) z) x)
16.6%
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64))) (*.f64 (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)))))
▶42.2%
(/.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))))
28.6%
(/.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))))))
99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
51.8%
(+.f64 (*.f64 x (cos.f64 y)) (exp.f64 (log.f64 (*.f64 z (sin.f64 y)))))
80.0%
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
29.5%
(*.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)))))))
▶28.6%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 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))))
42.1%
(*.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)))))))
▶36.6%
(*.f64 z (sin.f64 y))
64.3%
(*.f64 x (cos.f64 y))
Compiler

Compiled 906 to 458 computations (49.4% saved)

simplify334.0ms (2.5%)

Memory
-10.2MiB live, 389.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(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)))))
✓cost-diff0
(/.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 (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
✓cost-diff128
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 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))))
✓cost-diff0
(/.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))))
✓cost-diff128
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓cost-diff128
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓cost-diff6592
(-.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))))))
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(*.f64 z (sin.f64 y))
✓cost-diff0
(fma.f64 z y x)
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(*.f64 x (cos.f64 y))
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
Rules
12 596×lower-fma.f32
12 590×lower-fma.f64
4 314×lower-*.f32
4 296×lower-*.f64
2 070×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032364
060364
1134362
2362362
31234362
42208358
54637358
08129346
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(sin.f64 y)
y
z
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
(fma.f64 z y x)
z
y
x
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
y
(/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(-.f64 (*.f64 (*.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 z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
(*.f64 z z)
z
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))
(cos.f64 (+.f64 y y))
(+.f64 y y)
y
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
(*.f64 x 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 z (sin.f64 y))
(sin.f64 y)
(*.f64 x (cos.f64 y))
(cos.f64 y)
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 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 #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 (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
#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 (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(*.f64 z z)
z
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))
(cos.f64 (+.f64 y y))
(+.f64 y y)
y
(*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(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)))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))
Outputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(sin.f64 y)
y
z
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
(fma.f64 z y x)
(fma.f64 y z x)
z
y
x
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
z
(sin.f64 y)
y
(/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (-.f64 z x) (neg.f64 (*.f64 (cos.f64 (+.f64 y y)) (fma.f64 z z (*.f64 x x)))))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))
(-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (-.f64 z x) (neg.f64 (*.f64 (cos.f64 (+.f64 y y)) (fma.f64 z z (*.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 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 z z)
z
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))
(cos.f64 (+.f64 y y))
(+.f64 y y)
y
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (cos.f64 (+.f64 y y)) x)))
(*.f64 x x)
x
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
(-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(sin.f64 y)
(*.f64 x (cos.f64 y))
(cos.f64 y)
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 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 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
(/.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 (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
#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 (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(fma.f64 (*.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))
(*.f64 z z)
z
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))
(cos.f64 (+.f64 y y))
(+.f64 y y)
y
(*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) 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 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))

localize250.0ms (1.9%)

Memory
34.5MiB live, 305.4MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy96.9%
(+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))
✓accuracy86.5%
(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)))))
✓accuracy74.6%
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓accuracy39.1%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 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))))
✓accuracy97.1%
(-.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))))))
✓accuracy83.5%
(*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
✓accuracy74.6%
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓accuracy55.7%
(/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
✓accuracy100.0%
(sin.f64 y)
✓accuracy99.8%
(*.f64 z (sin.f64 y))
✓accuracy100.0%
(fma.f64 z y x)
✓accuracy100.0%
(cos.f64 y)
✓accuracy100.0%
(sin.f64 y)
✓accuracy99.9%
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
✓accuracy99.9%
(*.f64 x (cos.f64 y))
Samples
65.0ms114×0valid
61.0ms92×1valid
37.0ms44×2valid
8.0ms6×3valid
Compiler

Compiled 371 to 36 computations (90.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 137.0ms
ival-cos: 52.0ms (38.1% of total)
ival-mult: 27.0ms (19.8% of total)
adjust: 14.0ms (10.2% of total)
ival-add: 12.0ms (8.8% of total)
ival-pow: 11.0ms (8% of total)
ival-sub: 7.0ms (5.1% of total)
ival-sin: 7.0ms (5.1% of total)
ival-div: 6.0ms (4.4% of total)
exact: 1.0ms (0.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series72.0ms (0.5%)

Memory
-12.3MiB live, 98.5MiB allocated
Counts
15 → 408
Calls
Call 1
Inputs
#<alt (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))>
#<alt (sin.f64 y)>
#<alt (*.f64 x (cos.f64 y))>
#<alt (cos.f64 y)>
#<alt (fma.f64 z y x)>
#<alt (*.f64 z (sin.f64 y))>
#<alt (-.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))))))>
#<alt (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))>
#<alt (/.f64 (-.f64 (*.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))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 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))))>
#<alt (/.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 (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))>
#<alt (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)))))>
#<alt (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))>
#<alt (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))>
Outputs
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (sin y))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* z (sin y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt x>
#<alt (+ x (* -1/2 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt 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 (* 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 (* -1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- (+ 1/2 (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)))) (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- (+ 1/2 (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)))) (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- (+ 1/2 (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)))) (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- (+ 1/2 (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)))) (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- (+ 1/2 (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)))) (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- (+ 1/2 (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)))) (* 1/2 (cos (* 2 y)))))>
#<alt (* -1 (pow x 2))>
#<alt (- (* (pow y 2) (- (pow z 2) (* -1 (pow x 2)))) (pow x 2))>
#<alt (- (* (pow y 2) (- (+ (* (pow y 2) (- (* -1/3 (pow z 2)) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2))>
#<alt (- (* (pow y 2) (- (+ (* (pow y 2) (- (+ (* -1/3 (pow z 2)) (* (pow y 2) (- (* 2/45 (pow z 2)) (* -2/45 (pow x 2))))) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2))>
#<alt (- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (- (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (- (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (- (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (+ (* -1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* -1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* -1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow x 2) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow x 2) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow x 2) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow x 2) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow x 2) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow x 2) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* -1/3 (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))>
#<alt (+ (* z (- (* z (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (+ (* z (- (* z (- (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))) (/ (* z (* (sin y) (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3))))))) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))>
#<alt (* z (- (+ (* 1/2 (/ 1 (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))>
#<alt (* z (- (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y)))) (* 1/2 (/ 1 (sin y)))) (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))))>
#<alt (* z (- (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y)))) (+ (* 1/2 (/ 1 (sin y))) (/ (* x (* (cos y) (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))))) (* (pow z 3) (sin y))))) (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))))>
#<alt (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))))))>
#<alt (* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) z)) (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)))))>
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#<alt (+ (/ 1 (pow x 2)) (/ (* y z) (pow x 3)))>
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#<alt (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (/ 1 (pow x 2)) (+ (* -1 (/ (pow z 2) (pow x 4))) (/ (pow z 2) (pow x 4))))) x)) (+ (* 1/6 (/ z (pow x 3))) (+ (* 1/2 (/ z (pow x 3))) (/ (* z (+ (* -1 (pow x 2)) (pow z 2))) (pow x 5))))))) (/ 1 (pow x 2))) (+ (* -1 (/ (pow z 2) (pow x 4))) (/ (pow z 2) (pow x 4))))) (* -1 (/ z (pow x 3))))) (/ 1 (pow x 2)))>
#<alt (/ 1 (+ (* x (* (cos y) (- (* x (cos y)) (* z (sin y))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (/ 1 (+ (* x (* (cos y) (- (* x (cos y)) (* z (sin y))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (/ 1 (+ (* x (* (cos y) (- (* x (cos y)) (* z (sin y))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (/ 1 (+ (* x (* (cos y) (- (* x (cos y)) (* z (sin y))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (/ 1 (+ (* x (* (cos y) (- (* x (cos y)) (* z (sin y))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))))>
#<alt (/ 1 (+ (* x (* (cos y) (- (* x (cos y)) (* z (sin y))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))))>
#<alt (/ 1 (+ (* x (* (cos y) (- (* x (cos y)) (* z (sin y))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))))>
#<alt (/ 1 (+ (* x (* (cos y) (- (* x (cos y)) (* z (sin y))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))))>
#<alt (/ 1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (/ 1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (* (cos y) (sin y))) (* (pow z 3) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (/ (* (pow (cos y) 2) (pow (sin y) 2)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (/ (pow (cos y) 2) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (* -1 (/ (* (cos y) (sin y)) (* (pow z 3) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (/ 1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (/ (* (cos y) (* (sin y) (+ (* -1 (/ (* (pow (cos y) 2) (pow (sin y) 2)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (/ (pow (cos y) 2) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (* z (- 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* (pow (cos y) 3) (sin y)) (* (pow z 5) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))))) (+ (* -1 (/ (* (pow (cos y) 2) (pow (sin y) 2)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (/ (pow (cos y) 2) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (* -1 (/ (* (cos y) (sin y)) (* (pow z 3) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (/ 1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (/ 1 (* (pow x 2) (pow (cos y) 2)))>
#<alt (/ (+ (/ 1 (pow (cos y) 2)) (/ (* z (sin y)) (* x (pow (cos y) 3)))) (pow x 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 4))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 4))) (pow x 2))) (/ 1 (pow (cos y) 2))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 3))))) (pow x 2))>
#<alt (/ (- (+ (* -1 (/ (+ (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 4))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 4))))) (cos y)) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 5))) (pow x 3))) (/ 1 (pow (cos y) 2))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 3)))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 4)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 4)))))) (pow x 2))>
#<alt (/ 1 (* (pow x 2) (pow (cos y) 2)))>
#<alt (/ (+ (/ 1 (pow (cos y) 2)) (/ (* z (sin y)) (* x (pow (cos y) 3)))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 4)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 4)))) (/ (* z (sin y)) (pow (cos y) 3))) x)) (/ 1 (pow (cos y) 2))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 4))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 4))))) (* x (cos y)))) (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 5))))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 4))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 4)))) x)) (/ (* z (sin y)) (pow (cos y) 3))) x)) (/ 1 (pow (cos y) 2))) (pow x 2))>
#<alt (* (pow x 2) (pow (cos y) 2))>
#<alt (+ (* -1 (* x (* z (* (cos y) (sin y))))) (* (pow x 2) (pow (cos y) 2)))>
#<alt (+ (* z (+ (* -1 (* x (* (cos y) (sin y)))) (* z (- 1/2 (* 1/2 (cos (* 2 y))))))) (* (pow x 2) (pow (cos y) 2)))>
#<alt (+ (* z (+ (* -1 (* x (* (cos y) (sin y)))) (* z (- 1/2 (* 1/2 (cos (* 2 y))))))) (* (pow x 2) (pow (cos y) 2)))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- (+ 1/2 (* -1 (/ (* x (* (cos y) (sin y))) z))) (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- (+ 1/2 (+ (* -1 (/ (* x (* (cos y) (sin y))) z)) (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)))) (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- (+ 1/2 (+ (* -1 (/ (* x (* (cos y) (sin y))) z)) (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)))) (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- (+ 1/2 (* -1 (/ (* x (* (cos y) (sin y))) z))) (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- (+ 1/2 (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) z)) (* x (* (cos y) (sin y)))) z))) (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- (+ 1/2 (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) z)) (* x (* (cos y) (sin y)))) z))) (* 1/2 (cos (* 2 y)))))>
#<alt (pow x 2)>
#<alt (+ (* -1 (* x (* y z))) (pow x 2))>
#<alt (+ (* y (+ (* -1 (* x z)) (* y (+ (* -1 (pow x 2)) (pow z 2))))) (pow x 2))>
#<alt (+ (* y (+ (* -1 (* x z)) (* y (+ (* -1 (pow x 2)) (+ (* x (* y (+ (* 1/6 z) (* 1/2 z)))) (pow z 2)))))) (pow x 2))>
#<alt (+ (* x (* (cos y) (- (* x (cos y)) (* z (sin y))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* x (* (cos y) (- (* x (cos y)) (* z (sin y))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* x (* (cos y) (- (* x (cos y)) (* z (sin y))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* x (* (cos y) (- (* x (cos y)) (* z (sin y))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* x (* (cos y) (- (* x (cos y)) (* z (sin y))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (+ (* x (* (cos y) (- (* x (cos y)) (* z (sin y))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (+ (* x (* (cos y) (- (* x (cos y)) (* z (sin y))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (+ (* x (* (cos y) (- (* x (cos y)) (* z (sin y))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (+ (* -1 (* x (* z (* (cos y) (sin y))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* x (+ (* -1 (* z (* (cos y) (sin y)))) (* x (pow (cos y) 2)))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* x (+ (* -1 (* z (* (cos y) (sin y)))) (* x (pow (cos y) 2)))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow x 2) (pow (cos y) 2))>
#<alt (* (pow x 2) (+ (* -1 (/ (* z (* (cos y) (sin y))) x)) (pow (cos y) 2)))>
#<alt (* (pow x 2) (+ (* -1 (/ (* z (* (cos y) (sin y))) x)) (+ (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)) (pow (cos y) 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (* z (* (cos y) (sin y))) x)) (+ (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)) (pow (cos y) 2))))>
#<alt (* (pow x 2) (pow (cos y) 2))>
#<alt (* (pow x 2) (+ (* -1 (/ (* z (* (cos y) (sin y))) x)) (pow (cos y) 2)))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) x)) (* z (* (cos y) (sin y)))) x)) (pow (cos y) 2)))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) x)) (* z (* (cos y) (sin y)))) x)) (pow (cos y) 2)))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2)))>
#<alt (* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2)))>
#<alt (* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2)))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))>
#<alt (* (pow z 3) (pow (sin y) 3))>
#<alt (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3)))>
#<alt (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3)))>
#<alt (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3)))>
#<alt (* (pow x 3) (pow (cos y) 3))>
#<alt (* (pow x 3) (+ (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3)) (pow (cos y) 3)))>
#<alt (* (pow x 3) (+ (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3)) (pow (cos y) 3)))>
#<alt (* (pow x 3) (+ (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3)) (pow (cos y) 3)))>
#<alt (* (pow x 3) (pow (cos y) 3))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3))) (* -1 (pow (cos y) 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3))) (* -1 (pow (cos y) 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3))) (* -1 (pow (cos y) 3)))))>
#<alt (pow x 3)>
#<alt (+ (* -3/2 (* (pow x 3) (pow y 2))) (pow x 3))>
#<alt (+ (* (pow y 2) (+ (* -3/2 (pow x 3)) (* y (pow z 3)))) (pow x 3))>
#<alt (+ (* (pow y 2) (+ (* -3/2 (pow x 3)) (* y (+ (* 7/8 (* (pow x 3) y)) (pow z 3))))) (pow x 3))>
#<alt (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3)))>
#<alt (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3)))>
#<alt (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3)))>
#<alt (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3)))>
#<alt (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3)))>
#<alt (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3)))>
#<alt (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3)))>
#<alt (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3)))>
#<alt (* (pow x 3) (pow (cos y) 3))>
#<alt (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3)))>
#<alt (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3)))>
#<alt (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3)))>
#<alt (* (pow z 3) (pow (sin y) 3))>
#<alt (* (pow z 3) (+ (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3)) (pow (sin y) 3)))>
#<alt (* (pow z 3) (+ (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3)) (pow (sin y) 3)))>
#<alt (* (pow z 3) (+ (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3)) (pow (sin y) 3)))>
#<alt (* (pow z 3) (pow (sin y) 3))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3))) (* -1 (pow (sin y) 3)))))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3))) (* -1 (pow (sin y) 3)))))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3))) (* -1 (pow (sin y) 3)))))>
Calls

102 calls:

TimeVariablePointExpression
6.0ms
z
@-inf
(+ (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* x (cos y)) (- (* x (cos y)) (* z (sin y)))))
5.0ms
y
@-inf
(* (/ 1 (+ (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* x (cos y)) (- (* x (cos y)) (* z (sin y)))))) (+ (pow (* x (cos y)) 3) (pow (* z (sin y)) 3)))
4.0ms
z
@0
(- (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))))
4.0ms
y
@inf
(* (/ 1 (+ (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* x (cos y)) (- (* x (cos y)) (* z (sin y)))))) (+ (pow (* x (cos y)) 3) (pow (* z (sin y)) 3)))
3.0ms
y
@0
(/ (- (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (sin y)) (* x (cos y))))

rewrite591.0ms (4.4%)

Memory
39.8MiB live, 906.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
8 058×lower-fma.f32
8 052×lower-fma.f64
4 540×lower-*.f32
4 522×lower-*.f64
3 598×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032221
060160
1268124
22281124
08785122
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
15 → 1 125
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(sin.f64 y)
(*.f64 x (cos.f64 y))
(cos.f64 y)
(fma.f64 z 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 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 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(/.f64 (-.f64 (*.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) (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 #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 (cos.f64 y)) (-.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 (cos.f64 y)) (-.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 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))
Outputs
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))
(+.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (fma.f64 (cos.f64 y) (neg.f64 x) (*.f64 (sin.f64 y) z)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 y) (neg.f64 x) (*.f64 (sin.f64 y) z)))))
(+.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 z (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 z (*.f64 z (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 z (*.f64 z (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))))) (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 z (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) #s(literal -1 binary64)))
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(/.f64 (neg.f64 (*.f64 (fma.f64 z (*.f64 z (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))))) (-.f64 (*.f64 z (*.f64 z (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))) (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 x) (*.f64 (sin.f64 y) z))))
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(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (*.f64 z (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (sin.f64 y) z) (fma.f64 z (*.f64 z (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (*.f64 z (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))))) (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (*.f64 z (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))))) (-.f64 (*.f64 (*.f64 (*.f64 (sin.f64 y) z) (fma.f64 z (*.f64 z (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))))) (*.f64 (*.f64 (sin.f64 y) z) (fma.f64 z (*.f64 z (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))))))) (*.f64 (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (*.f64 z (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))))) (*.f64 (*.f64 (sin.f64 y) z) (fma.f64 z (*.f64 z (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 y) z) (fma.f64 z (*.f64 z (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (*.f64 z (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (sin.f64 y) z) (fma.f64 z (*.f64 z (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))))) (*.f64 (*.f64 (sin.f64 y) z) (fma.f64 z (*.f64 z (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))))) (-.f64 (*.f64 (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (*.f64 z (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))))) (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (*.f64 z (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))))))) (*.f64 (*.f64 (*.f64 (sin.f64 y) z) (fma.f64 z (*.f64 z (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))))) (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (*.f64 z (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64))))))
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64))) (pow.f64 (*.f64 z (*.f64 (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 9 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 9 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #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 (sin.f64 y) z) #s(literal 3 binary64))))
(*.f64 (fma.f64 z (*.f64 z (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))))) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (fma.f64 z (*.f64 z (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 9 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64))) (pow.f64 (*.f64 z (*.f64 (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal 3 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))))) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))

simplify837.0ms (6.2%)

Memory
-48.2MiB live, 728.2MiB allocated
Algorithm
1×egg-herbie
Rules
7 406×lower-*.f64
7 406×lower-*.f32
6 916×lower-fma.f64
6 916×lower-fma.f32
3 998×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09979876
135289628
086109255
Stop Event
1×iter limit
1×node limit
Counts
408 → 399
Calls
Call 1
Inputs
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
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(+ (* (pow y 2) (+ (* -3/2 (pow x 3)) (* y (pow z 3)))) (pow x 3))
(+ (* (pow y 2) (+ (* -3/2 (pow x 3)) (* y (+ (* 7/8 (* (pow x 3) y)) (pow z 3))))) (pow x 3))
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3)))
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3)))
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3)))
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3)))
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3)))
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3)))
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3)))
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3)))
(* (pow x 3) (pow (cos y) 3))
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3)))
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3)))
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3)))
(* (pow z 3) (pow (sin y) 3))
(* (pow z 3) (+ (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3)) (pow (sin y) 3)))
(* (pow z 3) (+ (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3)) (pow (sin y) 3)))
(* (pow z 3) (+ (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3)) (pow (sin y) 3)))
(* (pow z 3) (pow (sin y) 3))
(* -1 (* (pow z 3) (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3))) (* -1 (pow (sin y) 3)))))
(* -1 (* (pow z 3) (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3))) (* -1 (pow (sin y) 3)))))
(* -1 (* (pow z 3) (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3))) (* -1 (pow (sin y) 3)))))
Outputs
x
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y (+ z (* -1/2 (* x y)))))
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x y) z) x)
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal -1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) z) x)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* 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)))))
(neg.f64 (*.f64 z (neg.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(neg.f64 (*.f64 z (neg.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(neg.f64 (*.f64 z (neg.f64 (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 (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (neg.f64 x))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
x
(+ x (* -1/2 (* x (pow y 2))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 x #s(literal -1/2 binary64))) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -1/720 binary64))) (*.f64 x #s(literal -1/2 binary64))) x)
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
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)))
(*.f64 z (+.f64 y (/.f64 x z)))
(* z (+ y (/ x z)))
(*.f64 z (+.f64 y (/.f64 x z)))
(* z (+ y (/ x z)))
(*.f64 z (+.f64 y (/.f64 x z)))
(* y z)
(*.f64 y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(*.f64 (-.f64 (neg.f64 y) (/.f64 x z)) (neg.f64 z))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(*.f64 (-.f64 (neg.f64 y) (/.f64 x z)) (neg.f64 z))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(*.f64 (-.f64 (neg.f64 y) (/.f64 x z)) (neg.f64 z))
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)))
(*.f64 y (+.f64 z (/.f64 x y)))
(* y (+ z (/ x y)))
(*.f64 y (+.f64 z (/.f64 x y)))
(* y (+ z (/ x y)))
(*.f64 y (+.f64 z (/.f64 x y)))
(* y z)
(*.f64 y z)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(*.f64 (neg.f64 y) (-.f64 (neg.f64 z) (/.f64 x y)))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(*.f64 (neg.f64 y) (-.f64 (neg.f64 z) (/.f64 x y)))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(*.f64 (neg.f64 y) (-.f64 (neg.f64 z) (/.f64 x y)))
(* 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 x (*.f64 y (/.f64 z x)) x)
(* x (+ 1 (/ (* y z) x)))
(fma.f64 x (*.f64 y (/.f64 z x)) x)
(* x (+ 1 (/ (* y z) x)))
(fma.f64 x (*.f64 y (/.f64 z x)) x)
x
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(* 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 #s(literal -1/6 binary64) (*.f64 z (*.f64 y y)) z))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 z #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y)))) 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) (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/5040 binary64) (*.f64 z (*.f64 y y)) (*.f64 z #s(literal 1/120 binary64))) (*.f64 z #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))
(* -1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))))
(- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))))
(- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
(* (pow z 2) (- (+ 1/2 (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)))) (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x (neg.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))))
(* (pow z 2) (- (+ 1/2 (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)))) (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x (neg.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))))
(* (pow z 2) (- (+ 1/2 (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)))) (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x (neg.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
(* (pow z 2) (- (+ 1/2 (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)))) (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x (neg.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))))
(* (pow z 2) (- (+ 1/2 (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)))) (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x (neg.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))))
(* (pow z 2) (- (+ 1/2 (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)))) (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x (neg.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(- (* (pow y 2) (- (pow z 2) (* -1 (pow x 2)))) (pow x 2))
(-.f64 (*.f64 (*.f64 y y) (fma.f64 z z (*.f64 x x))) (*.f64 x x))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (* -1/3 (pow z 2)) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 z z) #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) (fma.f64 z z (*.f64 x x))) (*.f64 x (neg.f64 x)))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (+ (* -1/3 (pow z 2)) (* (pow y 2) (- (* 2/45 (pow z 2)) (* -2/45 (pow x 2))))) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2))
(-.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 z z) #s(literal -1/3 binary64) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 z z) #s(literal 2/45 binary64) (*.f64 (*.f64 x x) #s(literal 2/45 binary64))) (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))) (fma.f64 z z (*.f64 x x)))) (*.f64 x x))
(- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
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(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z (*.f64 z z))) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (neg.f64 (*.f64 z (*.f64 z z))))
(* -1 (* (pow z 3) (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3))) (* -1 (pow (sin y) 3)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z (*.f64 z z))) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (neg.f64 (*.f64 z (*.f64 z z))))
(* -1 (* (pow z 3) (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3))) (* -1 (pow (sin y) 3)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z (*.f64 z z))) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (neg.f64 (*.f64 z (*.f64 z z))))

eval361.0ms (2.7%)

Memory
36.2MiB live, 495.2MiB allocated
Compiler

Compiled 110 030 to 3 782 computations (96.6% saved)

prune229.0ms (1.7%)

Memory
25.8MiB live, 457.5MiB allocated
Pruning

33 alts after pruning (30 fresh and 3 done)

PrunedKeptTotal
New1 848271 875
Fresh8311
Picked235
Done000
Total1 858331 891
Accuracy
100.0%
Counts
1 891 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.9%
(fma.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
✓99.9%
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
80.0%
(fma.f64 (sin.f64 y) z (*.f64 x #s(literal 1 binary64)))
✓59.0%
(fma.f64 z y x)
58.5%
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) z) x)
▶99.4%
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
52.3%
(fma.f64 x (*.f64 y (/.f64 z x)) x)
21.1%
(/.f64 (fma.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 x x))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))))
41.9%
(/.f64 (-.f64 (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) (*.f64 (*.f64 z z) (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)))) (*.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))))
44.8%
(/.f64 (-.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
42.2%
(/.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) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
▶21.2%
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 z (*.f64 y 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)))
28.2%
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 z (*.f64 y z)))) (-.f64 x (*.f64 y z)))
32.7%
(/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x))
▶33.2%
(/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
23.5%
(/.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y))
64.1%
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
32.6%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y z) x) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))))
21.0%
(*.f64 (fma.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z))))))
24.0%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))))
91.0%
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (neg.f64 x))
32.6%
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))
16.2%
(*.f64 z (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y))
15.9%
(*.f64 z (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
85.8%
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
✓36.6%
(*.f64 z (sin.f64 y))
▶16.2%
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 z #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y)))) z))
15.9%
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y y)) z))
40.4%
(*.f64 y (+.f64 z (/.f64 x y)))
▶16.4%
(*.f64 y z)
91.3%
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
90.9%
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (fma.f64 z (/.f64 (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
64.3%
(*.f64 x (cos.f64 y))
Compiler

Compiled 1 383 to 750 computations (45.8% saved)

simplify373.0ms (2.8%)

Memory
-23.3MiB live, 593.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))
✓cost-diff0
(/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
✓cost-diff0
(*.f64 y (*.f64 z (*.f64 y z)))
✓cost-diff0
(*.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x))
✓cost-diff1088
(-.f64 (*.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x)) (*.f64 (-.f64 (*.f64 y z) x) (*.f64 x x)))
✓cost-diff3712
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 z (*.f64 y 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)))
✓cost-diff0
(*.f64 y y)
✓cost-diff0
(fma.f64 (*.f64 y y) (fma.f64 z #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y)))) z)
✓cost-diff0
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 z #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y)))) z))
✓cost-diff320
(fma.f64 z #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y))))
✓cost-diff0
(*.f64 y z)
✓cost-diff0
(cos.f64 (*.f64 y #s(literal -2 binary64)))
✓cost-diff0
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓cost-diff0
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))
✓cost-diff13888
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
Rules
14 580×lower-fma.f32
14 570×lower-fma.f64
5 026×lower-*.f32
4 994×lower-*.f64
1 978×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041358
078358
1163346
2456324
31369312
43102310
08302304
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
x
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
(cos.f64 y)
(/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 y z)
y
z
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 z #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y)))) z))
y
(fma.f64 (*.f64 y y) (fma.f64 z #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y)))) z)
(*.f64 y y)
(fma.f64 z #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y))))
z
#s(literal -1/6 binary64)
(*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y)))
#s(literal 1/120 binary64)
(*.f64 z (*.f64 y y))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 z (*.f64 y 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)))
(-.f64 (*.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x)) (*.f64 (-.f64 (*.f64 y z) x) (*.f64 x x)))
(*.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x))
(*.f64 y (*.f64 z (*.f64 y z)))
y
(*.f64 z (*.f64 y z))
z
(*.f64 y z)
(-.f64 (*.f64 y z) x)
x
(*.f64 (-.f64 (*.f64 y z) x) (*.f64 x x))
(*.f64 x x)
(*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(*.f64 x x)
x
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
(-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
(*.f64 x (cos.f64 y))
(cos.f64 y)
Outputs
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (sin.f64 y) (/.f64 z (cos.f64 y)) x) (cos.f64 y)))
x
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
(cos.f64 y)
(/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 y) (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) z z)))
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 y z)
y
z
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 z #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y)))) z))
(*.f64 y (fma.f64 (*.f64 y (*.f64 y z)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) z))
y
(fma.f64 (*.f64 y y) (fma.f64 z #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y)))) z)
(fma.f64 (*.f64 y (*.f64 y z)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) z)
(*.f64 y y)
(fma.f64 z #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y))))
(*.f64 z (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
z
#s(literal -1/6 binary64)
(*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y)))
(*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y z)))
#s(literal 1/120 binary64)
(*.f64 z (*.f64 y y))
(*.f64 y (*.f64 y z))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 z (*.f64 y 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)))
(fma.f64 y z x)
(-.f64 (*.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x)) (*.f64 (-.f64 (*.f64 y z) x) (*.f64 x x)))
(*.f64 (fma.f64 y z (neg.f64 x)) (*.f64 (fma.f64 y z (neg.f64 x)) (fma.f64 y z x)))
(*.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x))
(*.f64 (*.f64 y z) (*.f64 y (*.f64 z (fma.f64 y z (neg.f64 x)))))
(*.f64 y (*.f64 z (*.f64 y z)))
(*.f64 z (*.f64 y (*.f64 y z)))
y
(*.f64 z (*.f64 y z))
(*.f64 y (*.f64 z z))
z
(*.f64 y z)
(-.f64 (*.f64 y z) x)
(fma.f64 y z (neg.f64 x))
x
(*.f64 (-.f64 (*.f64 y z) x) (*.f64 x x))
(*.f64 x (*.f64 x (fma.f64 y z (neg.f64 x))))
(*.f64 x x)
(*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x))
(*.f64 (fma.f64 y z (neg.f64 x)) (fma.f64 y z (neg.f64 x)))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(*.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (/.f64 (*.f64 x x) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(*.f64 x (*.f64 x (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(*.f64 x x)
x
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))
(fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
(-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
(*.f64 x (cos.f64 y))
(cos.f64 y)

localize221.0ms (1.6%)

Memory
-0.0MiB live, 313.8MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))
✓accuracy99.8%
(*.f64 z (sin.f64 y))
✓accuracy99.6%
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))
✓accuracy64.7%
(/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
✓accuracy92.0%
(*.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x))
✓accuracy91.6%
(*.f64 (-.f64 (*.f64 y z) x) (*.f64 x x))
✓accuracy84.0%
(-.f64 (*.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x)) (*.f64 (-.f64 (*.f64 y z) x) (*.f64 x x)))
✓accuracy34.4%
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 z (*.f64 y 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)))
✓accuracy99.9%
(fma.f64 (*.f64 y y) (fma.f64 z #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y)))) z)
✓accuracy99.9%
(*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y)))
✓accuracy99.7%
(fma.f64 z #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y))))
✓accuracy86.6%
(*.f64 z (*.f64 y y))
✓accuracy100.0%
(*.f64 y z)
✓accuracy99.8%
(/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
✓accuracy99.6%
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
✓accuracy99.6%
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))
✓accuracy99.6%
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
Samples
159.0ms256×0valid
Compiler

Compiled 375 to 48 computations (87.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 109.0ms
ival-mult: 58.0ms (53.2% of total)
ival-cos: 12.0ms (11% of total)
ival-sub: 9.0ms (8.3% of total)
const: 9.0ms (8.3% of total)
ival-div: 6.0ms (5.5% of total)
ival-add: 6.0ms (5.5% of total)
ival-sin: 5.0ms (4.6% of total)
ival-pow2: 2.0ms (1.8% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series101.0ms (0.7%)

Memory
16.8MiB live, 135.4MiB allocated
Counts
23 → 540
Calls
Call 1
Inputs
#<alt (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))>
#<alt (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))>
#<alt (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))>
#<alt (cos.f64 (*.f64 y #s(literal -2 binary64)))>
#<alt (*.f64 y z)>
#<alt (fma.f64 z #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y))))>
#<alt (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 z #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y)))) z))>
#<alt (fma.f64 (*.f64 y y) (fma.f64 z #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y)))) z)>
#<alt (*.f64 y y)>
#<alt (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 z (*.f64 y 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)))>
#<alt (-.f64 (*.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x)) (*.f64 (-.f64 (*.f64 y z) x) (*.f64 x x)))>
#<alt (*.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x))>
#<alt (*.f64 y (*.f64 z (*.f64 y z)))>
#<alt (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))>
#<alt (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))>
#<alt (*.f64 x x)>
#<alt (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))>
#<alt (pow.f64 (cos.f64 y) #s(literal 2 binary64))>
#<alt (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))>
#<alt (*.f64 z (*.f64 y y))>
#<alt (*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y)))>
#<alt (*.f64 (-.f64 (*.f64 y z) x) (*.f64 x x))>
#<alt (*.f64 z (sin.f64 y))>
Outputs
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))>
#<alt (* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))>
#<alt (* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))>
#<alt (* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))>
#<alt (* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (+ z (* y (- (* -1 x) (* -1/2 x))))))>
#<alt (+ x (* y (+ z (* y (- (+ (* -1 x) (* y (- (* -7/6 z) (* -1 z)))) (* -1/2 x))))))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))>
#<alt (* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))>
#<alt (* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))>
#<alt 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 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))>
#<alt 1>
#<alt (+ 1 (* -1 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt 1>
#<alt (+ 1 (* -2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* z (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* z (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* z (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* z (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* z (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* z (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* z (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* z (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* -1 (* z (+ 1/6 (* -1/120 (pow y 2)))))>
#<alt (* -1 (* z (+ 1/6 (* -1/120 (pow y 2)))))>
#<alt (* -1 (* z (+ 1/6 (* -1/120 (pow y 2)))))>
#<alt (* -1 (* z (+ 1/6 (* -1/120 (pow y 2)))))>
#<alt (* -1/6 z)>
#<alt (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))>
#<alt (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))>
#<alt (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))>
#<alt (* 1/120 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))>
#<alt (* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))>
#<alt (* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))>
#<alt (* 1/120 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))>
#<alt (* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))>
#<alt (* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))>
#<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 (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* -1 (* y (* z (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))))>
#<alt (* -1 (* y (* z (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))))>
#<alt (* -1 (* y (* z (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))))>
#<alt (* -1 (* y (* z (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))))>
#<alt z>
#<alt (+ z (* -1/6 (* (pow y 2) z)))>
#<alt (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))>
#<alt (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))>
#<alt (* 1/120 (* (pow y 4) z))>
#<alt (* (pow y 4) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))>
#<alt (* (pow y 4) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))>
#<alt (* (pow y 4) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))>
#<alt (* 1/120 (* (pow y 4) z))>
#<alt (* (pow y 4) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))>
#<alt (* (pow y 4) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))>
#<alt (* (pow y 4) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* -1 (* z (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)))>
#<alt (* -1 (* z (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)))>
#<alt (* -1 (* z (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)))>
#<alt (* -1 (* z (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt x>
#<alt (+ x (* y (- (* -1 z) (* -2 z))))>
#<alt (+ x (* y (- (+ (* -1 z) (* y (- (* -1 (/ (pow z 2) x)) (+ (* -2 (/ (* z (- (* -1 z) (* -2 z))) x)) (/ (pow z 2) x))))) (* -2 z))))>
#<alt (+ x (* y (- (+ (* -1 z) (* y (- (+ (* -1 (/ (pow z 2) x)) (* y (- (/ (pow z 3) (pow x 2)) (+ (* -2 (/ (* z (- (* -1 (/ (pow z 2) x)) (+ (* -2 (/ (* z (- (* -1 z) (* -2 z))) x)) (/ (pow z 2) x)))) x)) (/ (* (pow z 2) (- (* -1 z) (* -2 z))) (pow x 2)))))) (+ (* -2 (/ (* z (- (* -1 z) (* -2 z))) x)) (/ (pow z 2) x))))) (* -2 z))))>
#<alt (* y z)>
#<alt (* y (- (+ z (* -1 (/ x y))) (* -2 (/ x y))))>
#<alt (* y (- (+ z (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (* (pow y 2) z))))) (+ (* -2 (/ x y)) (+ (* -2 (/ (* x (- (* -1 x) (* -2 x))) (* (pow y 2) z))) (/ (pow x 2) (* (pow y 2) z))))))>
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#<alt (* (pow x 2) (- (* -1/2 (cos (* -2 y))) 1/2))>
#<alt (* (pow x 2) (- (* -1/2 (cos (* -2 y))) 1/2))>
#<alt (* (pow x 2) (- (* -1/2 (cos (* -2 y))) 1/2))>
#<alt (* (pow x 2) (- (* -1/2 (cos (* -2 y))) 1/2))>
#<alt (* (pow x 2) (- (* -1/2 (cos (* -2 y))) 1/2))>
#<alt (* (pow x 2) (- (* -1/2 (cos (* -2 y))) 1/2))>
#<alt (* (pow x 2) (- (* -1/2 (cos (* -2 y))) 1/2))>
#<alt (* -1 (pow x 2))>
#<alt (+ (* -1 (pow x 2)) (* (pow x 2) (pow y 2)))>
#<alt (+ (* -1 (pow x 2)) (* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2))))>
#<alt (+ (* -1 (pow x 2)) (* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2))))>
#<alt (* (pow x 2) (- (* -1/2 (cos (* -2 y))) 1/2))>
#<alt (* (pow x 2) (- (* -1/2 (cos (* -2 y))) 1/2))>
#<alt (* (pow x 2) (- (* -1/2 (cos (* -2 y))) 1/2))>
#<alt (* (pow x 2) (- (* -1/2 (cos (* -2 y))) 1/2))>
#<alt (* (pow x 2) (- (* -1/2 (cos (* -2 y))) 1/2))>
#<alt (* (pow x 2) (- (* -1/2 (cos (* -2 y))) 1/2))>
#<alt (* (pow x 2) (- (* -1/2 (cos (* -2 y))) 1/2))>
#<alt (* (pow x 2) (- (* -1/2 (cos (* -2 y))) 1/2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt -1>
#<alt (- (pow y 2) 1)>
#<alt (- (* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) 1)>
#<alt (- (* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3)))) 1)>
#<alt (- (* -1/2 (cos (* -2 y))) 1/2)>
#<alt (- (* -1/2 (cos (* -2 y))) 1/2)>
#<alt (- (* -1/2 (cos (* -2 y))) 1/2)>
#<alt (- (* -1/2 (cos (* -2 y))) 1/2)>
#<alt (- (* -1/2 (cos (* -2 y))) 1/2)>
#<alt (- (* -1/2 (cos (* -2 y))) 1/2)>
#<alt (- (* -1/2 (cos (* -2 y))) 1/2)>
#<alt (- (* -1/2 (cos (* -2 y))) 1/2)>
#<alt 1>
#<alt (+ 1 (* -1 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (* y z)>
#<alt (* y (+ z (* (pow y 2) (- (* -7/6 z) (* -1 z)))))>
#<alt (* y (+ z (* (pow y 2) (- (+ (* -7/6 z) (* (pow y 2) (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z))))) (* -1 z)))))>
#<alt (* y (+ z (* (pow y 2) (- (+ (* -7/6 z) (* (pow y 2) (- (+ (* 61/120 z) (* (pow y 2) (- (* -547/5040 z) (+ (* -1 (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z)))) (+ (* -2/45 z) (* 1/3 (- (* -7/6 z) (* -1 z)))))))) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z))))) (* -1 z)))))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* 1/120 (* (pow y 2) z))>
#<alt (* 1/120 (* (pow y 2) z))>
#<alt (* 1/120 (* (pow y 2) z))>
#<alt (* 1/120 (* (pow y 2) z))>
#<alt (* 1/120 (* (pow y 2) z))>
#<alt (* 1/120 (* (pow y 2) z))>
#<alt (* 1/120 (* (pow y 2) z))>
#<alt (* 1/120 (* (pow y 2) z))>
#<alt (* 1/120 (* (pow y 2) z))>
#<alt (* 1/120 (* (pow y 2) z))>
#<alt (* 1/120 (* (pow y 2) z))>
#<alt (* 1/120 (* (pow y 2) z))>
#<alt (* 1/120 (* (pow y 2) z))>
#<alt (* 1/120 (* (pow y 2) z))>
#<alt (* 1/120 (* (pow y 2) z))>
#<alt (* 1/120 (* (pow y 2) z))>
#<alt (* 1/120 (* (pow y 2) z))>
#<alt (* 1/120 (* (pow y 2) z))>
#<alt (* 1/120 (* (pow y 2) z))>
#<alt (* 1/120 (* (pow y 2) z))>
#<alt (* 1/120 (* (pow y 2) z))>
#<alt (* 1/120 (* (pow y 2) z))>
#<alt (* 1/120 (* (pow y 2) z))>
#<alt (* 1/120 (* (pow y 2) z))>
#<alt (* -1 (pow x 3))>
#<alt (+ (* -1 (pow x 3)) (* (pow x 2) (* y z)))>
#<alt (+ (* -1 (pow x 3)) (* (pow x 2) (* y z)))>
#<alt (+ (* -1 (pow x 3)) (* (pow x 2) (* y z)))>
#<alt (* (pow x 2) (* y z))>
#<alt (* y (+ (* -1 (/ (pow x 3) y)) (* (pow x 2) z)))>
#<alt (* y (+ (* -1 (/ (pow x 3) y)) (* (pow x 2) z)))>
#<alt (* y (+ (* -1 (/ (pow x 3) y)) (* (pow x 2) z)))>
#<alt (* (pow x 2) (* y z))>
#<alt (* -1 (* y (+ (* -1 (* (pow x 2) z)) (/ (pow x 3) y))))>
#<alt (* -1 (* y (+ (* -1 (* (pow x 2) z)) (/ (pow x 3) y))))>
#<alt (* -1 (* y (+ (* -1 (* (pow x 2) z)) (/ (pow x 3) y))))>
#<alt (* -1 (pow x 3))>
#<alt (+ (* -1 (pow x 3)) (* (pow x 2) (* y z)))>
#<alt (+ (* -1 (pow x 3)) (* (pow x 2) (* y z)))>
#<alt (+ (* -1 (pow x 3)) (* (pow x 2) (* y z)))>
#<alt (* (pow x 2) (* y z))>
#<alt (* z (+ (* -1 (/ (pow x 3) z)) (* (pow x 2) y)))>
#<alt (* z (+ (* -1 (/ (pow x 3) z)) (* (pow x 2) y)))>
#<alt (* z (+ (* -1 (/ (pow x 3) z)) (* (pow x 2) y)))>
#<alt (* (pow x 2) (* y z))>
#<alt (* -1 (* z (+ (* -1 (* (pow x 2) y)) (/ (pow x 3) z))))>
#<alt (* -1 (* z (+ (* -1 (* (pow x 2) y)) (/ (pow x 3) z))))>
#<alt (* -1 (* z (+ (* -1 (* (pow x 2) y)) (/ (pow x 3) z))))>
#<alt (* (pow x 2) (* y z))>
#<alt (* (pow x 2) (+ (* -1 x) (* y z)))>
#<alt (* (pow x 2) (+ (* -1 x) (* y z)))>
#<alt (* (pow x 2) (+ (* -1 x) (* y z)))>
#<alt (* -1 (pow x 3))>
#<alt (* (pow x 3) (- (/ (* y z) x) 1))>
#<alt (* (pow x 3) (- (/ (* y z) x) 1))>
#<alt (* (pow x 3) (- (/ (* y z) x) 1))>
#<alt (* -1 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1 (* -1 (/ (* y z) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1 (* -1 (/ (* y z) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1 (* -1 (/ (* y z) x)))))>
#<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

135 calls:

TimeVariablePointExpression
35.0ms
y
@-inf
(/ (* (* x x) (+ (* -1/2 (cos (* y -2))) -1/2)) (- (* z (sin y)) (* x (cos y))))
7.0ms
z
@-inf
(/ (- (* (* y (* z (* y z))) (- (* y z) x)) (* (- (* y z) x) (* x x))) (* (- (* y z) x) (- (* y z) x)))
6.0ms
y
@-inf
(+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (pow (cos y) 2)))
3.0ms
z
@0
(+ (* z -1/6) (* 1/120 (* z (* y y))))
2.0ms
y
@inf
(+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (pow (cos y) 2)))

rewrite714.0ms (5.3%)

Memory
-15.9MiB live, 668.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 682×lower-*.f32
4 650×lower-*.f64
4 314×lower-/.f32
4 306×lower-/.f64
3 148×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041264
078260
1301240
22439240
08332240
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 715
Calls
Call 1
Inputs
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 y z)
(fma.f64 z #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 z #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y)))) z))
(fma.f64 (*.f64 y y) (fma.f64 z #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y)))) z)
(*.f64 y y)
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 z (*.f64 y 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)))
(-.f64 (*.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x)) (*.f64 (-.f64 (*.f64 y z) x) (*.f64 x x)))
(*.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x))
(*.f64 y (*.f64 z (*.f64 y z)))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(*.f64 x x)
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(*.f64 z (*.f64 y y))
(*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y)))
(*.f64 (-.f64 (*.f64 y z) x) (*.f64 x x))
(*.f64 z (sin.f64 y))
Outputs
(+.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(+.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (cos.f64 y))) (cos.f64 y))) (/.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y)))) #s(literal -2 binary64)) (/.f64 (-.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (cos.f64 y))) (cos.f64 y))))
(-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y)))) #s(literal -2 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (cos.f64 y)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (cos.f64 y))) (/.f64 (pow.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (cos.f64 y)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (cos.f64 y))))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) x) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) x (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
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(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z (sin.f64 y)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y)))) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) #s(literal 1 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z (sin.f64 y))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (cos.f64 y)) (cos.f64 y))
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(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z (sin.f64 y)))))) (neg.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(/.f64 (neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (cos.f64 y))) (neg.f64 (cos.f64 y)))
(pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (pow.f64 (/.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal -1 binary64)))
(*.f64 z (*.f64 (sin.f64 y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(*.f64 z (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(*.f64 z (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(*.f64 (sin.f64 y) (*.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(*.f64 (*.f64 z (sin.f64 y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (pow.f64 (/.f64 (cos.f64 y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 z (sin.f64 y)))
(*.f64 (/.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)))
(*.f64 (/.f64 z (cos.f64 y)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (cos.f64 y)))
(*.f64 (pow.f64 (/.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)))
(*.f64 (pow.f64 (/.f64 (cos.f64 y) z) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))) #s(literal -1 binary64)))
(*.f64 y (*.f64 y z))
(*.f64 z (*.f64 y y))
(*.f64 (*.f64 y z) y)
(*.f64 (*.f64 y y) z)
(*.f64 z (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))
(*.f64 (*.f64 y z) (*.f64 y #s(literal 1/120 binary64)))
(*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y)))
(*.f64 (*.f64 y y) (*.f64 z #s(literal 1/120 binary64)))
(*.f64 (*.f64 z (*.f64 y y)) #s(literal 1/120 binary64))
(*.f64 (*.f64 z #s(literal 1/120 binary64)) (*.f64 y y))
(*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y z)) y)
(*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) z)
(*.f64 (*.f64 (*.f64 z #s(literal 1/120 binary64)) y) y)
(+.f64 (*.f64 (*.f64 x x) (*.f64 y z)) (neg.f64 (*.f64 x (*.f64 x x))))
(+.f64 (*.f64 (*.f64 y z) (*.f64 x x)) (neg.f64 (*.f64 x (*.f64 x x))))
(fma.f64 (*.f64 y z) (*.f64 x x) (neg.f64 (*.f64 x (*.f64 x x))))
(fma.f64 (*.f64 x x) (*.f64 y z) (neg.f64 (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y z) (*.f64 z (*.f64 z (*.f64 y y)))) (*.f64 x (*.f64 x x)))) (fma.f64 x (fma.f64 y z x) (*.f64 z (*.f64 z (*.f64 y y)))))
(/.f64 (*.f64 (*.f64 x x) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) (fma.f64 y z x))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 z (*.f64 z (*.f64 y y)))) (*.f64 x (*.f64 x x))) (*.f64 x x)) (fma.f64 x (fma.f64 y z x) (*.f64 z (*.f64 z (*.f64 y y)))))
(/.f64 (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (*.f64 x x)) (fma.f64 y z x))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y z) (*.f64 z (*.f64 z (*.f64 y y)))) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 x (fma.f64 y z x) (*.f64 z (*.f64 z (*.f64 y y))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)))) (neg.f64 (fma.f64 y z x)))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 z (*.f64 z (*.f64 y y)))) (*.f64 x (*.f64 x x))) (*.f64 x x))) (neg.f64 (fma.f64 x (fma.f64 y z x) (*.f64 z (*.f64 z (*.f64 y y))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (*.f64 x x))) (neg.f64 (fma.f64 y z x)))
(*.f64 x (*.f64 x (-.f64 (*.f64 y z) x)))
(*.f64 (-.f64 (*.f64 y z) x) (*.f64 x x))
(*.f64 (*.f64 x x) (-.f64 (*.f64 y z) x))
(*.f64 (*.f64 x (-.f64 (*.f64 y z) x)) x)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)

simplify467.0ms (3.5%)

Memory
34.3MiB live, 727.5MiB allocated
Algorithm
1×egg-herbie
Rules
8 806×lower-fma.f64
8 806×lower-fma.f32
6 058×lower-*.f64
6 058×lower-*.f32
4 774×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09098459
131408083
082387611
Stop Event
1×iter limit
1×node limit
Counts
540 → 533
Calls
Call 1
Inputs
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))
x
(+ x (* y z))
(+ x (* y (+ z (* y (- (* -1 x) (* -1/2 x))))))
(+ x (* y (+ z (* y (- (+ (* -1 x) (* y (- (* -7/6 z) (* -1 z)))) (* -1/2 x))))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))
(* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))
(* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))
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)))
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
1
(+ 1 (* -2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(* y 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)
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(/ (* (pow x 2) (- (* -1/2 (cos (* -2 y))) 1/2)) (- (* z (sin y)) (* x (cos y))))
(/ (* (pow x 2) (- (* -1/2 (cos (* -2 y))) 1/2)) (- (* z (sin y)) (* x (cos y))))
(/ (* (pow x 2) (- (* -1/2 (cos (* -2 y))) 1/2)) (- (* z (sin y)) (* x (cos y))))
(/ (* (pow x 2) (- (* -1/2 (cos (* -2 y))) 1/2)) (- (* z (sin y)) (* x (cos y))))
(/ (* (pow x 2) (- (* -1/2 (cos (* -2 y))) 1/2)) (- (* z (sin y)) (* x (cos y))))
(/ (* (pow x 2) (- (* -1/2 (cos (* -2 y))) 1/2)) (- (* z (sin y)) (* x (cos y))))
(* -1 (/ (* x (- (* -1/2 (cos (* -2 y))) 1/2)) (cos y)))
(+ (* -1 (/ (* x (- (* -1/2 (cos (* -2 y))) 1/2)) (cos y))) (* -1 (/ (* z (* (sin y) (- (* -1/2 (cos (* -2 y))) 1/2))) (pow (cos y) 2))))
(+ (* -1 (/ (* x (- (* -1/2 (cos (* -2 y))) 1/2)) (cos y))) (* z (- (* -1 (/ (* z (* (pow (sin y) 2) (- (* -1/2 (cos (* -2 y))) 1/2))) (* x (pow (cos y) 3)))) (/ (* (sin y) (- (* -1/2 (cos (* -2 y))) 1/2)) (pow (cos y) 2)))))
(+ (* -1 (/ (* x (- (* -1/2 (cos (* -2 y))) 1/2)) (cos y))) (* z (- (* z (- (* -1 (/ (* z (* (pow (sin y) 3) (- (* -1/2 (cos (* -2 y))) 1/2))) (* (pow x 2) (pow (cos y) 4)))) (/ (* (pow (sin y) 2) (- (* -1/2 (cos (* -2 y))) 1/2)) (* x (pow (cos y) 3))))) (/ (* (sin y) (- (* -1/2 (cos (* -2 y))) 1/2)) (pow (cos y) 2)))))
(/ (* (pow x 2) (- (* -1/2 (cos (* -2 y))) 1/2)) (* z (sin y)))
(/ (+ (/ (* (pow x 2) (- (* -1/2 (cos (* -2 y))) 1/2)) (sin y)) (/ (* (pow x 3) (* (cos y) (- (* -1/2 (cos (* -2 y))) 1/2))) (* z (pow (sin y) 2)))) z)
(/ (- (+ (/ (* (pow x 2) (- (* -1/2 (cos (* -2 y))) 1/2)) (sin y)) (/ (* (pow x 4) (* (pow (cos y) 2) (- (* -1/2 (cos (* -2 y))) 1/2))) (* (pow z 2) (pow (sin y) 3)))) (* -1 (/ (* (pow x 3) (* (cos y) (- (* -1/2 (cos (* -2 y))) 1/2))) (* z (pow (sin y) 2))))) z)
(/ (- (+ (/ (* (pow x 2) (- (* -1/2 (cos (* -2 y))) 1/2)) (sin y)) (/ (* (pow x 5) (* (pow (cos y) 3) (- (* -1/2 (cos (* -2 y))) 1/2))) (* (pow z 3) (pow (sin y) 4)))) (+ (* -1 (/ (* (pow x 3) (* (cos y) (- (* -1/2 (cos (* -2 y))) 1/2))) (* z (pow (sin y) 2)))) (* -1 (/ (* (pow x 4) (* (pow (cos y) 2) (- (* -1/2 (cos (* -2 y))) 1/2))) (* (pow z 2) (pow (sin y) 3)))))) z)
(/ (* (pow x 2) (- (* -1/2 (cos (* -2 y))) 1/2)) (* z (sin y)))
(* -1 (/ (+ (* -1 (/ (* (pow x 2) (- (* -1/2 (cos (* -2 y))) 1/2)) (sin y))) (* -1 (/ (* (pow x 3) (* (cos y) (- (* -1/2 (cos (* -2 y))) 1/2))) (* z (pow (sin y) 2))))) z))
(* -1 (/ (+ (* -1 (/ (* (pow x 2) (- (* -1/2 (cos (* -2 y))) 1/2)) (sin y))) (* -1 (/ (- (/ (* (pow x 4) (* (pow (cos y) 2) (- (* -1/2 (cos (* -2 y))) 1/2))) (* z (pow (sin y) 3))) (* -1 (/ (* (pow x 3) (* (cos y) (- (* -1/2 (cos (* -2 y))) 1/2))) (pow (sin y) 2)))) z))) z))
(* -1 (/ (+ (* -1 (/ (* (pow x 2) (- (* -1/2 (cos (* -2 y))) 1/2)) (sin y))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 5) (* (pow (cos y) 3) (- (* -1/2 (cos (* -2 y))) 1/2))) (* z (pow (sin y) 4)))) (/ (* (pow x 4) (* (pow (cos y) 2) (- (* -1/2 (cos (* -2 y))) 1/2))) (pow (sin y) 3))) z)) (* -1 (/ (* (pow x 3) (* (cos y) (- (* -1/2 (cos (* -2 y))) 1/2))) (pow (sin y) 2)))) z))) z))
(* (pow x 2) (- (* -1/2 (cos (* -2 y))) 1/2))
(* (pow x 2) (- (* -1/2 (cos (* -2 y))) 1/2))
(* (pow x 2) (- (* -1/2 (cos (* -2 y))) 1/2))
(* (pow x 2) (- (* -1/2 (cos (* -2 y))) 1/2))
(* (pow x 2) (- (* -1/2 (cos (* -2 y))) 1/2))
(* (pow x 2) (- (* -1/2 (cos (* -2 y))) 1/2))
(* (pow x 2) (- (* -1/2 (cos (* -2 y))) 1/2))
(* (pow x 2) (- (* -1/2 (cos (* -2 y))) 1/2))
(* (pow x 2) (- (* -1/2 (cos (* -2 y))) 1/2))
(* (pow x 2) (- (* -1/2 (cos (* -2 y))) 1/2))
(* (pow x 2) (- (* -1/2 (cos (* -2 y))) 1/2))
(* (pow x 2) (- (* -1/2 (cos (* -2 y))) 1/2))
(* -1 (pow x 2))
(+ (* -1 (pow x 2)) (* (pow x 2) (pow y 2)))
(+ (* -1 (pow x 2)) (* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2))))
(+ (* -1 (pow x 2)) (* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2))))
(* (pow x 2) (- (* -1/2 (cos (* -2 y))) 1/2))
(* (pow x 2) (- (* -1/2 (cos (* -2 y))) 1/2))
(* (pow x 2) (- (* -1/2 (cos (* -2 y))) 1/2))
(* (pow x 2) (- (* -1/2 (cos (* -2 y))) 1/2))
(* (pow x 2) (- (* -1/2 (cos (* -2 y))) 1/2))
(* (pow x 2) (- (* -1/2 (cos (* -2 y))) 1/2))
(* (pow x 2) (- (* -1/2 (cos (* -2 y))) 1/2))
(* (pow x 2) (- (* -1/2 (cos (* -2 y))) 1/2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
-1
(- (pow y 2) 1)
(- (* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) 1)
(- (* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3)))) 1)
(- (* -1/2 (cos (* -2 y))) 1/2)
(- (* -1/2 (cos (* -2 y))) 1/2)
(- (* -1/2 (cos (* -2 y))) 1/2)
(- (* -1/2 (cos (* -2 y))) 1/2)
(- (* -1/2 (cos (* -2 y))) 1/2)
(- (* -1/2 (cos (* -2 y))) 1/2)
(- (* -1/2 (cos (* -2 y))) 1/2)
(- (* -1/2 (cos (* -2 y))) 1/2)
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(* y z)
(* y (+ z (* (pow y 2) (- (* -7/6 z) (* -1 z)))))
(* y (+ z (* (pow y 2) (- (+ (* -7/6 z) (* (pow y 2) (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z))))) (* -1 z)))))
(* y (+ z (* (pow y 2) (- (+ (* -7/6 z) (* (pow y 2) (- (+ (* 61/120 z) (* (pow y 2) (- (* -547/5040 z) (+ (* -1 (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z)))) (+ (* -2/45 z) (* 1/3 (- (* -7/6 z) (* -1 z)))))))) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z))))) (* -1 z)))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* 1/120 (* (pow y 2) z))
(* 1/120 (* (pow y 2) z))
(* 1/120 (* (pow y 2) z))
(* 1/120 (* (pow y 2) z))
(* 1/120 (* (pow y 2) z))
(* 1/120 (* (pow y 2) z))
(* 1/120 (* (pow y 2) z))
(* 1/120 (* (pow y 2) z))
(* 1/120 (* (pow y 2) z))
(* 1/120 (* (pow y 2) z))
(* 1/120 (* (pow y 2) z))
(* 1/120 (* (pow y 2) z))
(* 1/120 (* (pow y 2) z))
(* 1/120 (* (pow y 2) z))
(* 1/120 (* (pow y 2) z))
(* 1/120 (* (pow y 2) z))
(* 1/120 (* (pow y 2) z))
(* 1/120 (* (pow y 2) z))
(* 1/120 (* (pow y 2) z))
(* 1/120 (* (pow y 2) z))
(* 1/120 (* (pow y 2) z))
(* 1/120 (* (pow y 2) z))
(* 1/120 (* (pow y 2) z))
(* 1/120 (* (pow y 2) z))
(* -1 (pow x 3))
(+ (* -1 (pow x 3)) (* (pow x 2) (* y z)))
(+ (* -1 (pow x 3)) (* (pow x 2) (* y z)))
(+ (* -1 (pow x 3)) (* (pow x 2) (* y z)))
(* (pow x 2) (* y z))
(* y (+ (* -1 (/ (pow x 3) y)) (* (pow x 2) z)))
(* y (+ (* -1 (/ (pow x 3) y)) (* (pow x 2) z)))
(* y (+ (* -1 (/ (pow x 3) y)) (* (pow x 2) z)))
(* (pow x 2) (* y z))
(* -1 (* y (+ (* -1 (* (pow x 2) z)) (/ (pow x 3) y))))
(* -1 (* y (+ (* -1 (* (pow x 2) z)) (/ (pow x 3) y))))
(* -1 (* y (+ (* -1 (* (pow x 2) z)) (/ (pow x 3) y))))
(* -1 (pow x 3))
(+ (* -1 (pow x 3)) (* (pow x 2) (* y z)))
(+ (* -1 (pow x 3)) (* (pow x 2) (* y z)))
(+ (* -1 (pow x 3)) (* (pow x 2) (* y z)))
(* (pow x 2) (* y z))
(* z (+ (* -1 (/ (pow x 3) z)) (* (pow x 2) y)))
(* z (+ (* -1 (/ (pow x 3) z)) (* (pow x 2) y)))
(* z (+ (* -1 (/ (pow x 3) z)) (* (pow x 2) y)))
(* (pow x 2) (* y z))
(* -1 (* z (+ (* -1 (* (pow x 2) y)) (/ (pow x 3) z))))
(* -1 (* z (+ (* -1 (* (pow x 2) y)) (/ (pow x 3) z))))
(* -1 (* z (+ (* -1 (* (pow x 2) y)) (/ (pow x 3) z))))
(* (pow x 2) (* y z))
(* (pow x 2) (+ (* -1 x) (* y z)))
(* (pow x 2) (+ (* -1 x) (* y z)))
(* (pow x 2) (+ (* -1 x) (* y z)))
(* -1 (pow x 3))
(* (pow x 3) (- (/ (* y z) x) 1))
(* (pow x 3) (- (/ (* y z) x) 1))
(* (pow x 3) (- (/ (* y z) x) 1))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (* y z) x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (* y z) x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (* y z) x)))))
(* 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) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))
(*.f64 x (fma.f64 z (/.f64 (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))
(*.f64 x (fma.f64 z (/.f64 (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))
(*.f64 x (fma.f64 z (/.f64 (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.f64 y))
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)))) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)))) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)))) (neg.f64 x))
x
(+ x (* y z))
(fma.f64 z y x)
(+ x (* y (+ z (* y (- (* -1 x) (* -1/2 x))))))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x)
(+ x (* y (+ z (* y (- (+ (* -1 x) (* y (- (* -7/6 z) (* -1 z)))) (* -1/2 x))))))
(fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) z) x)
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
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(/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* 1/120 (* (pow y 2) z))
(*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y)))
(* 1/120 (* (pow y 2) z))
(*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y)))
(* 1/120 (* (pow y 2) z))
(*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y)))
(* 1/120 (* (pow y 2) z))
(*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y)))
(* 1/120 (* (pow y 2) z))
(*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y)))
(* 1/120 (* (pow y 2) z))
(*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y)))
(* 1/120 (* (pow y 2) z))
(*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y)))
(* 1/120 (* (pow y 2) z))
(*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y)))
(* 1/120 (* (pow y 2) z))
(*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y)))
(* 1/120 (* (pow y 2) z))
(*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y)))
(* 1/120 (* (pow y 2) z))
(*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y)))
(* 1/120 (* (pow y 2) z))
(*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y)))
(* 1/120 (* (pow y 2) z))
(*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y)))
(* 1/120 (* (pow y 2) z))
(*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y)))
(* 1/120 (* (pow y 2) z))
(*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y)))
(* 1/120 (* (pow y 2) z))
(*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y)))
(* 1/120 (* (pow y 2) z))
(*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y)))
(* 1/120 (* (pow y 2) z))
(*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y)))
(* 1/120 (* (pow y 2) z))
(*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y)))
(* 1/120 (* (pow y 2) z))
(*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y)))
(* 1/120 (* (pow y 2) z))
(*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y)))
(* 1/120 (* (pow y 2) z))
(*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y)))
(* 1/120 (* (pow y 2) z))
(*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y)))
(* 1/120 (* (pow y 2) z))
(*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y)))
(* -1 (pow x 3))
(*.f64 x (*.f64 x (neg.f64 x)))
(+ (* -1 (pow x 3)) (* (pow x 2) (* y z)))
(*.f64 (*.f64 x x) (-.f64 (*.f64 z y) x))
(+ (* -1 (pow x 3)) (* (pow x 2) (* y z)))
(*.f64 (*.f64 x x) (-.f64 (*.f64 z y) x))
(+ (* -1 (pow x 3)) (* (pow x 2) (* y z)))
(*.f64 (*.f64 x x) (-.f64 (*.f64 z y) x))
(* (pow x 2) (* y z))
(*.f64 (*.f64 z y) (*.f64 x x))
(* y (+ (* -1 (/ (pow x 3) y)) (* (pow x 2) z)))
(*.f64 y (fma.f64 z (*.f64 x x) (/.f64 (*.f64 x (*.f64 x (neg.f64 x))) y)))
(* y (+ (* -1 (/ (pow x 3) y)) (* (pow x 2) z)))
(*.f64 y (fma.f64 z (*.f64 x x) (/.f64 (*.f64 x (*.f64 x (neg.f64 x))) y)))
(* y (+ (* -1 (/ (pow x 3) y)) (* (pow x 2) z)))
(*.f64 y (fma.f64 z (*.f64 x x) (/.f64 (*.f64 x (*.f64 x (neg.f64 x))) y)))
(* (pow x 2) (* y z))
(*.f64 (*.f64 z y) (*.f64 x x))
(* -1 (* y (+ (* -1 (* (pow x 2) z)) (/ (pow x 3) y))))
(*.f64 y (fma.f64 z (*.f64 x x) (/.f64 (*.f64 x (*.f64 x (neg.f64 x))) y)))
(* -1 (* y (+ (* -1 (* (pow x 2) z)) (/ (pow x 3) y))))
(*.f64 y (fma.f64 z (*.f64 x x) (/.f64 (*.f64 x (*.f64 x (neg.f64 x))) y)))
(* -1 (* y (+ (* -1 (* (pow x 2) z)) (/ (pow x 3) y))))
(*.f64 y (fma.f64 z (*.f64 x x) (/.f64 (*.f64 x (*.f64 x (neg.f64 x))) y)))
(* -1 (pow x 3))
(*.f64 x (*.f64 x (neg.f64 x)))
(+ (* -1 (pow x 3)) (* (pow x 2) (* y z)))
(*.f64 (*.f64 x x) (-.f64 (*.f64 z y) x))
(+ (* -1 (pow x 3)) (* (pow x 2) (* y z)))
(*.f64 (*.f64 x x) (-.f64 (*.f64 z y) x))
(+ (* -1 (pow x 3)) (* (pow x 2) (* y z)))
(*.f64 (*.f64 x x) (-.f64 (*.f64 z y) x))
(* (pow x 2) (* y z))
(*.f64 (*.f64 z y) (*.f64 x x))
(* z (+ (* -1 (/ (pow x 3) z)) (* (pow x 2) y)))
(*.f64 z (fma.f64 y (*.f64 x x) (/.f64 (*.f64 x (*.f64 x (neg.f64 x))) z)))
(* z (+ (* -1 (/ (pow x 3) z)) (* (pow x 2) y)))
(*.f64 z (fma.f64 y (*.f64 x x) (/.f64 (*.f64 x (*.f64 x (neg.f64 x))) z)))
(* z (+ (* -1 (/ (pow x 3) z)) (* (pow x 2) y)))
(*.f64 z (fma.f64 y (*.f64 x x) (/.f64 (*.f64 x (*.f64 x (neg.f64 x))) z)))
(* (pow x 2) (* y z))
(*.f64 (*.f64 z y) (*.f64 x x))
(* -1 (* z (+ (* -1 (* (pow x 2) y)) (/ (pow x 3) z))))
(*.f64 z (fma.f64 y (*.f64 x x) (/.f64 (*.f64 x (*.f64 x (neg.f64 x))) z)))
(* -1 (* z (+ (* -1 (* (pow x 2) y)) (/ (pow x 3) z))))
(*.f64 z (fma.f64 y (*.f64 x x) (/.f64 (*.f64 x (*.f64 x (neg.f64 x))) z)))
(* -1 (* z (+ (* -1 (* (pow x 2) y)) (/ (pow x 3) z))))
(*.f64 z (fma.f64 y (*.f64 x x) (/.f64 (*.f64 x (*.f64 x (neg.f64 x))) z)))
(* (pow x 2) (* y z))
(*.f64 (*.f64 z y) (*.f64 x x))
(* (pow x 2) (+ (* -1 x) (* y z)))
(*.f64 (*.f64 x x) (-.f64 (*.f64 z y) x))
(* (pow x 2) (+ (* -1 x) (* y z)))
(*.f64 (*.f64 x x) (-.f64 (*.f64 z y) x))
(* (pow x 2) (+ (* -1 x) (* y z)))
(*.f64 (*.f64 x x) (-.f64 (*.f64 z y) x))
(* -1 (pow x 3))
(*.f64 x (*.f64 x (neg.f64 x)))
(* (pow x 3) (- (/ (* y z) x) 1))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (/.f64 z x) #s(literal -1 binary64)))
(* (pow x 3) (- (/ (* y z) x) 1))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (/.f64 z x) #s(literal -1 binary64)))
(* (pow x 3) (- (/ (* y z) x) 1))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (/.f64 z x) #s(literal -1 binary64)))
(* -1 (pow x 3))
(*.f64 x (*.f64 x (neg.f64 x)))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (* y z) x)))))
(*.f64 (*.f64 x (*.f64 x x)) (neg.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (* y z) x)))))
(*.f64 (*.f64 x (*.f64 x x)) (neg.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (* y z) x)))))
(*.f64 (*.f64 x (*.f64 x x)) (neg.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 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 z y)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y y)) 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 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 z #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))

eval526.0ms (3.9%)

Memory
-134.7MiB live, 428.2MiB allocated
Compiler

Compiled 59 417 to 3 242 computations (94.5% saved)

prune203.0ms (1.5%)

Memory
-3.6MiB live, 523.0MiB allocated
Pruning

46 alts after pruning (42 fresh and 4 done)

PrunedKeptTotal
New1 481251 506
Fresh81725
Picked415
Done033
Total1 493461 539
Accuracy
100.0%
Counts
1 539 → 46
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
✓99.9%
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
80.0%
(fma.f64 (sin.f64 y) z (*.f64 x #s(literal 1 binary64)))
45.5%
(fma.f64 z (fma.f64 z (neg.f64 (fma.f64 y (/.f64 y x) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 y y) x) (/.f64 (*.f64 y y) x)))) y) x)
✓59.0%
(fma.f64 z y x)
▶58.5%
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) z) x)
52.3%
(fma.f64 x (*.f64 y (/.f64 z x)) x)
16.6%
(/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 y z) x) y) (*.f64 y (*.f64 z z)) (neg.f64 (*.f64 (-.f64 (*.f64 y z) x) (*.f64 x x)))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
33.1%
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) x) x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
73.1%
(/.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y)))) (*.f64 (cos.f64 y) #s(literal 1 binary64))) (*.f64 (cos.f64 y) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))))))
16.2%
(/.f64 (fma.f64 z (neg.f64 (fma.f64 x (*.f64 z (*.f64 y y)) (*.f64 y (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
▶14.4%
(/.f64 (fma.f64 y (neg.f64 (fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
41.9%
(/.f64 (-.f64 (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) (*.f64 (*.f64 z z) (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)))) (*.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))))
44.8%
(/.f64 (-.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
42.2%
(/.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) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
6.9%
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x)) (*.f64 (*.f64 z y) (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
17.4%
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x)) (*.f64 z (fma.f64 y (*.f64 x x) (/.f64 (*.f64 x (*.f64 x (neg.f64 x))) z)))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
20.7%
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x)) (*.f64 x (*.f64 x (neg.f64 x)))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
15.7%
(/.f64 (-.f64 (*.f64 (neg.f64 x) (*.f64 y (*.f64 z (*.f64 z y)))) (*.f64 (-.f64 (*.f64 y z) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
32.7%
(/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x))
64.1%
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.f64 y))
2.5%
(/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
36.4%
(/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
16.1%
(/.f64 (*.f64 (*.f64 x (*.f64 x (neg.f64 x))) (fma.f64 y (/.f64 z x) #s(literal -1 binary64))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
29.1%
(/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (-.f64 (*.f64 z y) (*.f64 x (cos.f64 y))))
▶23.5%
(/.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y))
▶16.7%
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
16.4%
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 z y) x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
32.6%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y z) x) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))))
25.2%
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y z) x) (/.f64 (-.f64 (*.f64 y z) x) (*.f64 (-.f64 (*.f64 y z) x) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))))))
55.7%
(+.f64 x (*.f64 x (/.f64 (*.f64 z y) x)))
24.0%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))))
32.6%
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))
16.2%
(*.f64 (*.f64 z y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
15.9%
(*.f64 z (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
85.8%
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
✓36.6%
(*.f64 z (sin.f64 y))
16.2%
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 z #s(literal 1/120 binary64)) y) y (*.f64 z #s(literal -1/6 binary64))) z))
16.0%
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y))) z))
15.9%
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y y)) z))
40.4%
(*.f64 y (+.f64 z (/.f64 x y)))
✓16.4%
(*.f64 y z)
91.3%
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
64.0%
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
64.0%
(*.f64 x (*.f64 x (/.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))))
64.3%
(*.f64 x (cos.f64 y))
Compiler

Compiled 2 083 to 1 080 computations (48.2% saved)

simplify304.0ms (2.2%)

Memory
33.5MiB live, 599.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))
✓cost-diff0
(*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
✓cost-diff0
(/.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y))
✓cost-diff128
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))
✓cost-diff0
(neg.f64 (fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x))))
✓cost-diff0
(/.f64 (fma.f64 y (neg.f64 (fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
✓cost-diff320
(fma.f64 y (neg.f64 (fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x)))) (*.f64 x (*.f64 x x)))
✓cost-diff640
(fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x)))
✓cost-diff0
(*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 x (*.f64 x x))
✓cost-diff0
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
✓cost-diff0
(*.f64 y x)
✓cost-diff0
(fma.f64 #s(literal -1/2 binary64) (*.f64 y x) z)
✓cost-diff0
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) z) x)
✓cost-diff0
(cos.f64 (*.f64 y #s(literal -2 binary64)))
✓cost-diff0
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓cost-diff128
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓cost-diff7488
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
Rules
8 134×lower-fma.f32
8 122×lower-fma.f64
4 814×lower-*.f32
4 786×lower-*.f64
1 604×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040355
080345
1161341
2333326
3903326
42192325
54610325
08090315
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
(/.f64 (*.f64 z (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))
(cos.f64 (+.f64 y y))
(+.f64 y y)
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
x
(cos.f64 y)
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) z) x)
y
(fma.f64 #s(literal -1/2 binary64) (*.f64 y x) z)
#s(literal -1/2 binary64)
(*.f64 y x)
x
z
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
(*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x))
(-.f64 (*.f64 y z) x)
(*.f64 y z)
y
z
(/.f64 (fma.f64 y (neg.f64 (fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(fma.f64 y (neg.f64 (fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x)))) (*.f64 x (*.f64 x x)))
y
(neg.f64 (fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x))))
(fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x)))
x
(*.f64 y (*.f64 z z))
(*.f64 z z)
z
(*.f64 z (*.f64 x x))
(*.f64 x x)
(*.f64 x (*.f64 x x))
(*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x))
(-.f64 (*.f64 y z) x)
(*.f64 y z)
(/.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y))
(*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
z
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))
#s(literal -1/2 binary64)
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
(sin.f64 y)
Outputs
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(*.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 (+.f64 y y)) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
(/.f64 (*.f64 z (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
(/.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))
(cos.f64 (+.f64 y y))
(+.f64 y y)
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) x x))
x
(cos.f64 y)
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) z) x)
y
(fma.f64 #s(literal -1/2 binary64) (*.f64 y x) z)
#s(literal -1/2 binary64)
(*.f64 y x)
x
z
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
(*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x))
(-.f64 (*.f64 y z) x)
(*.f64 y z)
y
z
(/.f64 (fma.f64 y (neg.f64 (fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (*.f64 x (-.f64 (*.f64 x x) (*.f64 y (*.f64 z (fma.f64 y z x))))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(fma.f64 y (neg.f64 (fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x)))) (*.f64 x (*.f64 x x)))
(*.f64 x (-.f64 (*.f64 x x) (*.f64 y (*.f64 z (fma.f64 y z x)))))
y
(neg.f64 (fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x))))
(neg.f64 (*.f64 x (*.f64 z (fma.f64 y z x))))
(fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x)))
(*.f64 x (*.f64 z (fma.f64 y z x)))
x
(*.f64 y (*.f64 z z))
(*.f64 z z)
z
(*.f64 z (*.f64 x x))
(*.f64 x x)
(*.f64 x (*.f64 x x))
(*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x))
(-.f64 (*.f64 y z) x)
(*.f64 y z)
(/.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y))
(*.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y)))
(*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
(*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
z
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))
(fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))
(*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
(sin.f64 y)

localize346.0ms (2.6%)

Memory
21.9MiB live, 736.5MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sin.f64 y)
✓accuracy90.8%
(*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
✓accuracy86.0%
(/.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y))
✓accuracy74.6%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))
✓accuracy88.1%
(fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x)))
✓accuracy86.5%
(*.f64 y (*.f64 z z))
✓accuracy82.4%
(fma.f64 y (neg.f64 (fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x)))) (*.f64 x (*.f64 x x)))
✓accuracy37.5%
(/.f64 (fma.f64 y (neg.f64 (fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
✓accuracy100.0%
(-.f64 (*.f64 y z) x)
✓accuracy99.9%
(*.f64 x (*.f64 x x))
✓accuracy99.9%
(*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x))
✓accuracy55.3%
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
✓accuracy100.0%
(*.f64 y x)
✓accuracy100.0%
(fma.f64 #s(literal -1/2 binary64) (*.f64 y x) z)
✓accuracy99.9%
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) z) x)
✓accuracy99.8%
(*.f64 z (sin.f64 y))
✓accuracy99.8%
(/.f64 (*.f64 z (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
✓accuracy99.6%
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓accuracy99.6%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
Samples
105.0ms77×2valid
61.0ms114×0valid
33.0ms26×3valid
24.0ms37×1valid
4.0ms2×4valid
Compiler

Compiled 372 to 48 computations (87.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 179.0ms
ival-cos: 48.0ms (26.8% of total)
ival-mult: 47.0ms (26.3% of total)
ival-div: 31.0ms (17.3% of total)
adjust: 25.0ms (14% of total)
ival-add: 19.0ms (10.6% of total)
ival-sin: 5.0ms (2.8% of total)
ival-neg: 2.0ms (1.1% of total)
ival-sub: 1.0ms (0.6% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series60.0ms (0.4%)

Memory
-8.5MiB live, 109.9MiB allocated
Counts
24 → 600
Calls
Call 1
Inputs
#<alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))>
#<alt (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))>
#<alt (cos.f64 (*.f64 y #s(literal -2 binary64)))>
#<alt (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) z) x)>
#<alt (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) z)>
#<alt (*.f64 y x)>
#<alt (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (*.f64 x x))>
#<alt (*.f64 x x)>
#<alt (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x))>
#<alt (fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x)))>
#<alt (fma.f64 y (neg.f64 (fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x)))) (*.f64 x (*.f64 x x)))>
#<alt (/.f64 (fma.f64 y (neg.f64 (fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))>
#<alt (neg.f64 (fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))>
#<alt (/.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y))>
#<alt (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))>
#<alt (/.f64 (*.f64 z (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))>
#<alt (*.f64 z (sin.f64 y))>
#<alt (-.f64 (*.f64 y z) x)>
#<alt (*.f64 y (*.f64 z z))>
#<alt (sin.f64 y)>
Outputs
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (+ z (* y (- (* -1 x) (* -1/2 x))))))>
#<alt (+ x (* y (+ z (* y (- (+ (* -1 x) (* y (- (* -7/6 z) (* -1 z)))) (* -1/2 x))))))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))))))>
#<alt (* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))))))>
#<alt (* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))))))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))>
#<alt (* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))>
#<alt (* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt 1>
#<alt (+ 1 (* -2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))>
#<alt (* -1/2 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/2 x) (/ z y)))>
#<alt (* (pow y 2) (+ (* -1/2 x) (+ (/ x (pow y 2)) (/ z y))))>
#<alt (* (pow y 2) (+ (* -1/2 x) (+ (/ x (pow y 2)) (/ z y))))>
#<alt (* -1/2 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/2 x) (/ z y)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)))>
#<alt (* y z)>
#<alt (+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y z))>
#<alt (+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y z))>
#<alt (+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y z))>
#<alt (* x (+ 1 (* -1/2 (pow y 2))))>
#<alt (* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y z) x))))>
#<alt (* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y z) x))))>
#<alt (* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y z) x))))>
#<alt (* -1 (* x (- (* 1/2 (pow y 2)) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (* y z) x)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (* y z) x)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (* y z) x)) (* 1/2 (pow y 2))) 1)))>
#<alt (+ x (* -1/2 (* x (pow y 2))))>
#<alt (+ x (+ (* -1/2 (* x (pow y 2))) (* y z)))>
#<alt (+ x (+ (* -1/2 (* x (pow y 2))) (* y z)))>
#<alt (+ x (+ (* -1/2 (* x (pow y 2))) (* y z)))>
#<alt (* y z)>
#<alt (* z (+ y (+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z))))>
#<alt (* z (+ y (+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z))))>
#<alt (* z (+ y (+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z))))>
#<alt (* y z)>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)))))>
#<alt z>
#<alt (+ z (* -1/2 (* x y)))>
#<alt (+ z (* -1/2 (* x y)))>
#<alt (+ z (* -1/2 (* x y)))>
#<alt (* -1/2 (* x y))>
#<alt (* y (+ (* -1/2 x) (/ z y)))>
#<alt (* y (+ (* -1/2 x) (/ z y)))>
#<alt (* y (+ (* -1/2 x) (/ z y)))>
#<alt (* -1/2 (* x y))>
#<alt (* -1 (* y (+ (* -1 (/ z y)) (* 1/2 x))))>
#<alt (* -1 (* y (+ (* -1 (/ z y)) (* 1/2 x))))>
#<alt (* -1 (* y (+ (* -1 (/ z y)) (* 1/2 x))))>
#<alt z>
#<alt (+ z (* -1/2 (* x y)))>
#<alt (+ z (* -1/2 (* x y)))>
#<alt (+ z (* -1/2 (* x y)))>
#<alt (* -1/2 (* x y))>
#<alt (* x (+ (* -1/2 y) (/ z x)))>
#<alt (* x (+ (* -1/2 y) (/ z x)))>
#<alt (* x (+ (* -1/2 y) (/ z x)))>
#<alt (* -1/2 (* x y))>
#<alt (* -1 (* x (+ (* -1 (/ z x)) (* 1/2 y))))>
#<alt (* -1 (* x (+ (* -1 (/ z x)) (* 1/2 y))))>
#<alt (* -1 (* x (+ (* -1 (/ z x)) (* 1/2 y))))>
#<alt (* -1/2 (* x y))>
#<alt (+ z (* -1/2 (* x y)))>
#<alt (+ z (* -1/2 (* x y)))>
#<alt (+ z (* -1/2 (* x y)))>
#<alt z>
#<alt (* z (+ 1 (* -1/2 (/ (* x y) z))))>
#<alt (* z (+ 1 (* -1/2 (/ (* x y) z))))>
#<alt (* z (+ 1 (* -1/2 (/ (* x y) z))))>
#<alt z>
#<alt (* -1 (* z (- (* 1/2 (/ (* x y) z)) 1)))>
#<alt (* -1 (* z (- (* 1/2 (/ (* x y) z)) 1)))>
#<alt (* -1 (* z (- (* 1/2 (/ (* x y) z)) 1)))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (/ (pow x 3) (* (pow y 2) (pow z 2)))>
#<alt (* (pow x 3) (+ (* 2 (/ x (* (pow y 3) (pow z 3)))) (/ 1 (* (pow y 2) (pow z 2)))))>
#<alt (* (pow x 3) (+ (* x (+ (* 3 (/ x (* (pow y 4) (pow z 4)))) (* 2 (/ 1 (* (pow y 3) (pow z 3)))))) (/ 1 (* (pow y 2) (pow z 2)))))>
#<alt (* (pow x 3) (+ (* x (+ (* x (+ (* 4 (/ x (* (pow y 5) (pow z 5)))) (* 3 (/ 1 (* (pow y 4) (pow z 4)))))) (* 2 (/ 1 (* (pow y 3) (pow z 3)))))) (/ 1 (* (pow y 2) (pow z 2)))))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ (* y z) x))))>
#<alt (* x (- (+ 1 (* -1 (/ (+ (* -4 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2))) (pow x 2)))) (* -2 (/ (* y z) x))))>
#<alt (* x (- (+ 1 (* -1 (/ (+ (* 2 (* y (* z (+ (* -4 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2)))))) (* 2 (* (pow y 3) (pow z 3)))) (pow x 3)))) (+ (* -4 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (+ (* -2 (/ (* y z) x)) (/ (* (pow y 2) (pow z 2)) (pow x 2))))))>
#<alt x>
#<alt (* -1 (* x (- (* -2 (/ (* y z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (* (pow y 2) (pow z 2)) x)) (* 4 (/ (* (pow y 2) (pow z 2)) x))) (* -2 (* y z))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* y (* z (+ (* -1 (* (pow y 2) (pow z 2))) (* 4 (* (pow y 2) (pow z 2)))))) x)) (* 2 (/ (* (pow y 3) (pow z 3)) x))) (+ (* -1 (* (pow y 2) (pow z 2))) (* 4 (* (pow y 2) (pow z 2))))) x)) (* -2 (* y z))) x)) 1)))>
#<alt x>
#<alt (+ x (* 2 (* y z)))>
#<alt (+ x (* y (- (* -1 (* y (+ (* -4 (/ (pow z 2) x)) (/ (pow z 2) x)))) (* -2 z))))>
#<alt (+ x (* y (- (* y (- (* -1 (* y (+ (* 2 (/ (* z (+ (* -4 (/ (pow z 2) x)) (/ (pow z 2) x))) x)) (* 2 (/ (pow z 3) (pow x 2)))))) (+ (* -4 (/ (pow z 2) x)) (/ (pow z 2) x)))) (* -2 z))))>
#<alt (/ (pow x 3) (* (pow y 2) (pow z 2)))>
#<alt (/ (+ (* 2 (/ (pow x 4) (* y (pow z 3)))) (/ (pow x 3) (pow z 2))) (pow y 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -4 (/ (pow x 5) (pow z 4))) (/ (pow x 5) (pow z 4))) (pow y 2))) (/ (pow x 3) (pow z 2))) (* -2 (/ (pow x 4) (* y (pow z 3))))) (pow y 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* 2 (/ (* x (+ (* -4 (/ (pow x 5) (pow z 4))) (/ (pow x 5) (pow z 4)))) z)) (* 2 (/ (pow x 6) (pow z 5)))) (pow y 3))) (/ (pow x 3) (pow z 2))) (+ (* -4 (/ (pow x 5) (* (pow y 2) (pow z 4)))) (+ (* -2 (/ (pow x 4) (* y (pow z 3)))) (/ (pow x 5) (* (pow y 2) (pow z 4)))))) (pow y 2))>
#<alt (/ (pow x 3) (* (pow y 2) (pow z 2)))>
#<alt (/ (+ (* 2 (/ (pow x 4) (* y (pow z 3)))) (/ (pow x 3) (pow z 2))) (pow y 2))>
#<alt (/ (+ (* -1 (/ (- (+ (* -4 (/ (pow x 5) (* y (pow z 4)))) (/ (pow x 5) (* y (pow z 4)))) (* 2 (/ (pow x 4) (pow z 3)))) y)) (/ (pow x 3) (pow z 2))) (pow y 2))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* x (+ (* -4 (/ (pow x 5) (pow z 4))) (/ (pow x 5) (pow z 4)))) (* y z))) (* -2 (/ (pow x 6) (* y (pow z 5))))) (+ (* -4 (/ (pow x 5) (pow z 4))) (/ (pow x 5) (pow z 4)))) y)) (* 2 (/ (pow x 4) (pow z 3)))) y)) (/ (pow x 3) (pow z 2))) (pow y 2))>
#<alt x>
#<alt (+ x (* 2 (* y z)))>
#<alt (+ x (* z (- (* -1 (* z (+ (* -4 (/ (pow y 2) x)) (/ (pow y 2) x)))) (* -2 y))))>
#<alt (+ x (* z (- (* z (- (* -1 (* z (+ (* 2 (/ (* y (+ (* -4 (/ (pow y 2) x)) (/ (pow y 2) x))) x)) (* 2 (/ (pow y 3) (pow x 2)))))) (+ (* -4 (/ (pow y 2) x)) (/ (pow y 2) x)))) (* -2 y))))>
#<alt (/ (pow x 3) (* (pow y 2) (pow z 2)))>
#<alt (/ (+ (* 2 (/ (pow x 4) (* (pow y 3) z))) (/ (pow x 3) (pow y 2))) (pow z 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -4 (/ (pow x 5) (pow y 4))) (/ (pow x 5) (pow y 4))) (pow z 2))) (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (* (pow y 3) z)))) (pow z 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* 2 (/ (* x (+ (* -4 (/ (pow x 5) (pow y 4))) (/ (pow x 5) (pow y 4)))) y)) (* 2 (/ (pow x 6) (pow y 5)))) (pow z 3))) (/ (pow x 3) (pow y 2))) (+ (* -4 (/ (pow x 5) (* (pow y 4) (pow z 2)))) (+ (* -2 (/ (pow x 4) (* (pow y 3) z))) (/ (pow x 5) (* (pow y 4) (pow z 2)))))) (pow z 2))>
#<alt (/ (pow x 3) (* (pow y 2) (pow z 2)))>
#<alt (/ (+ (* 2 (/ (pow x 4) (* (pow y 3) z))) (/ (pow x 3) (pow y 2))) (pow z 2))>
#<alt (/ (+ (* -1 (/ (- (+ (* -4 (/ (pow x 5) (* (pow y 4) z))) (/ (pow x 5) (* (pow y 4) z))) (* 2 (/ (pow x 4) (pow y 3)))) z)) (/ (pow x 3) (pow y 2))) (pow z 2))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* x (+ (* -4 (/ (pow x 5) (pow y 4))) (/ (pow x 5) (pow y 4)))) (* y z))) (* -2 (/ (pow x 6) (* (pow y 5) z)))) (+ (* -4 (/ (pow x 5) (pow y 4))) (/ (pow x 5) (pow y 4)))) z)) (* 2 (/ (pow x 4) (pow y 3)))) z)) (/ (pow x 3) (pow y 2))) (pow z 2))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (+ (* -2 (* x (* y z))) (pow x 2))>
#<alt (+ (* y (+ (* -2 (* x z)) (* y (pow z 2)))) (pow x 2))>
#<alt (+ (* y (+ (* -2 (* x z)) (* y (pow z 2)))) (pow x 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (+ (* -2 (/ (* x z) y)) (pow z 2)))>
#<alt (* (pow y 2) (+ (* -2 (/ (* x z) y)) (+ (/ (pow x 2) (pow y 2)) (pow z 2))))>
#<alt (* (pow y 2) (+ (* -2 (/ (* x z) y)) (+ (/ (pow x 2) (pow y 2)) (pow z 2))))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (+ (* -2 (/ (* x z) y)) (pow z 2)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* 2 (* x z))) y)) (pow z 2)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* 2 (* x z))) y)) (pow z 2)))>
#<alt (pow x 2)>
#<alt (+ (* -2 (* x (* y z))) (pow x 2))>
#<alt (+ (* z (+ (* -2 (* x y)) (* (pow y 2) z))) (pow x 2))>
#<alt (+ (* z (+ (* -2 (* x y)) (* (pow y 2) z))) (pow x 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow z 2) (+ (* -2 (/ (* x y) z)) (pow y 2)))>
#<alt (* (pow z 2) (+ (* -2 (/ (* x y) z)) (+ (/ (pow x 2) (pow z 2)) (pow y 2))))>
#<alt (* (pow z 2) (+ (* -2 (/ (* x y) z)) (+ (/ (pow x 2) (pow z 2)) (pow y 2))))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow z 2) (+ (* -2 (/ (* x y) z)) (pow y 2)))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 2) z)) (* 2 (* x y))) z)) (pow y 2)))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 2) z)) (* 2 (* x y))) z)) (pow y 2)))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (+ (* -2 (* x (* y z))) (* (pow y 2) (pow z 2)))>
#<alt (+ (* x (+ x (* -2 (* y z)))) (* (pow y 2) (pow z 2)))>
#<alt (+ (* x (+ x (* -2 (* y z)))) (* (pow y 2) (pow z 2)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -2 (/ (* y z) x))))>
#<alt (* (pow x 2) (+ 1 (+ (* -2 (/ (* y z) x)) (/ (* (pow y 2) (pow z 2)) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* -2 (/ (* y z) x)) (/ (* (pow y 2) (pow z 2)) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -2 (/ (* y z) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (* (pow y 2) (pow z 2)) x)) (* 2 (* y z))) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (* (pow y 2) (pow z 2)) x)) (* 2 (* y z))) x))))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (+ (* x z) (* y (pow z 2))))>
#<alt (* x (+ (* x z) (* y (pow z 2))))>
#<alt (* x (+ (* x z) (* y (pow z 2))))>
#<alt (* (pow x 2) z)>
#<alt (* (pow x 2) (+ z (/ (* y (pow z 2)) x)))>
#<alt (* (pow x 2) (+ z (/ (* y (pow z 2)) x)))>
#<alt (* (pow x 2) (+ z (/ (* y (pow z 2)) x)))>
#<alt (* (pow x 2) z)>
#<alt (* (pow x 2) (+ z (/ (* y (pow z 2)) x)))>
#<alt (* (pow x 2) (+ z (/ (* y (pow z 2)) x)))>
#<alt (* (pow x 2) (+ z (/ (* y (pow z 2)) x)))>
#<alt (* (pow x 2) z)>
#<alt (+ (* x (* y (pow z 2))) (* (pow x 2) z))>
#<alt (+ (* x (* y (pow z 2))) (* (pow x 2) z))>
#<alt (+ (* x (* y (pow z 2))) (* (pow x 2) z))>
#<alt (* x (* y (pow z 2)))>
#<alt (* y (+ (* x (pow z 2)) (/ (* (pow x 2) z) y)))>
#<alt (* y (+ (* x (pow z 2)) (/ (* (pow x 2) z) y)))>
#<alt (* y (+ (* x (pow z 2)) (/ (* (pow x 2) z) y)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* -1 (* y (+ (* -1 (* x (pow z 2))) (* -1 (/ (* (pow x 2) z) y)))))>
#<alt (* -1 (* y (+ (* -1 (* x (pow z 2))) (* -1 (/ (* (pow x 2) z) y)))))>
#<alt (* -1 (* y (+ (* -1 (* x (pow z 2))) (* -1 (/ (* (pow x 2) z) y)))))>
#<alt (* (pow x 2) z)>
#<alt (* z (+ (* x (* y z)) (pow x 2)))>
#<alt (* z (+ (* x (* y z)) (pow x 2)))>
#<alt (* z (+ (* x (* y z)) (pow x 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* (pow z 2) (+ (* x y) (/ (pow x 2) z)))>
#<alt (* (pow z 2) (+ (* x y) (/ (pow x 2) z)))>
#<alt (* (pow z 2) (+ (* x y) (/ (pow x 2) z)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* (pow z 2) (+ (* x y) (/ (pow x 2) z)))>
#<alt (* (pow z 2) (+ (* x y) (/ (pow x 2) z)))>
#<alt (* (pow z 2) (+ (* x y) (/ (pow x 2) z)))>
#<alt (pow x 3)>
#<alt (+ (* -1 (* (pow x 2) (* y z))) (pow x 3))>
#<alt (+ (* y (+ (* -1 (* x (* y (pow z 2)))) (* -1 (* (pow x 2) z)))) (pow x 3))>
#<alt (+ (* y (+ (* -1 (* x (* y (pow z 2)))) (* -1 (* (pow x 2) z)))) (pow x 3))>
#<alt (* -1 (* x (* (pow y 2) (pow z 2))))>
#<alt (* (pow y 2) (+ (* -1 (* x (pow z 2))) (* -1 (/ (* (pow x 2) z) y))))>
#<alt (* (pow y 2) (+ (* -1 (* x (pow z 2))) (+ (* -1 (/ (* (pow x 2) z) y)) (/ (pow x 3) (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1 (* x (pow z 2))) (+ (* -1 (/ (* (pow x 2) z) y)) (/ (pow x 3) (pow y 2)))))>
#<alt (* -1 (* x (* (pow y 2) (pow z 2))))>
#<alt (* (pow y 2) (+ (* -1 (* x (pow z 2))) (* -1 (/ (* (pow x 2) z) y))))>
#<alt (* (pow y 2) (+ (* -1 (* x (pow z 2))) (* -1 (/ (+ (* -1 (/ (pow x 3) y)) (* (pow x 2) z)) y))))>
#<alt (* (pow y 2) (+ (* -1 (* x (pow z 2))) (* -1 (/ (+ (* -1 (/ (pow x 3) y)) (* (pow x 2) z)) y))))>
#<alt (* -1 (* x (* (pow y 2) (pow z 2))))>
#<alt (* x (+ (* -1 (* x (* y z))) (* -1 (* (pow y 2) (pow z 2)))))>
#<alt (* x (+ (* -1 (* (pow y 2) (pow z 2))) (* x (+ x (* -1 (* y z))))))>
#<alt (* x (+ (* -1 (* (pow y 2) (pow z 2))) (* x (+ x (* -1 (* y z))))))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (* -1 (/ (* y z) x))))>
#<alt (* (pow x 3) (+ 1 (+ (* -1 (/ (* y z) x)) (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))))))>
#<alt (* (pow x 3) (+ 1 (+ (* -1 (/ (* y z) x)) (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))))))>
#<alt (pow x 3)>
#<alt (* -1 (* (pow x 3) (- (/ (* y z) x) 1)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (* y z)) (* -1 (/ (* (pow y 2) (pow z 2)) x))) x)) 1)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (* y z)) (* -1 (/ (* (pow y 2) (pow z 2)) x))) x)) 1)))>
#<alt (pow x 3)>
#<alt (+ (* -1 (* (pow x 2) (* y z))) (pow x 3))>
#<alt (+ (* z (+ (* -1 (* x (* (pow y 2) z))) (* -1 (* (pow x 2) y)))) (pow x 3))>
#<alt (+ (* z (+ (* -1 (* x (* (pow y 2) z))) (* -1 (* (pow x 2) y)))) (pow x 3))>
#<alt (* -1 (* x (* (pow y 2) (pow z 2))))>
#<alt (* (pow z 2) (+ (* -1 (* x (pow y 2))) (* -1 (/ (* (pow x 2) y) z))))>
#<alt (* (pow z 2) (+ (* -1 (* x (pow y 2))) (+ (* -1 (/ (* (pow x 2) y) z)) (/ (pow x 3) (pow z 2)))))>
#<alt (* (pow z 2) (+ (* -1 (* x (pow y 2))) (+ (* -1 (/ (* (pow x 2) y) z)) (/ (pow x 3) (pow z 2)))))>
#<alt (* -1 (* x (* (pow y 2) (pow z 2))))>
#<alt (* (pow z 2) (+ (* -1 (* x (pow y 2))) (* -1 (/ (* (pow x 2) y) z))))>
#<alt (* (pow z 2) (+ (* -1 (* x (pow y 2))) (* -1 (/ (+ (* -1 (/ (pow x 3) z)) (* (pow x 2) y)) z))))>
#<alt (* (pow z 2) (+ (* -1 (* x (pow y 2))) (* -1 (/ (+ (* -1 (/ (pow x 3) z)) (* (pow x 2) y)) z))))>
#<alt x>
#<alt (+ x (* y (- (* -1 z) (* -2 z))))>
#<alt (+ x (* y (- (+ (* -1 z) (* y (- (* -1 (/ (pow z 2) x)) (+ (* -2 (/ (* z (- (* -1 z) (* -2 z))) x)) (/ (pow z 2) x))))) (* -2 z))))>
#<alt (+ x (* y (- (+ (* -1 z) (* y (- (+ (* -1 (* y (+ (* -2 (/ (* z (- (* -1 (/ (pow z 2) x)) (+ (* -2 (/ (* z (- (* -1 z) (* -2 z))) x)) (/ (pow z 2) x)))) x)) (/ (* (pow z 2) (- (* -1 z) (* -2 z))) (pow x 2))))) (* -1 (/ (pow z 2) x))) (+ (* -2 (/ (* z (- (* -1 z) (* -2 z))) x)) (/ (pow z 2) x))))) (* -2 z))))>
#<alt (* -1 x)>
#<alt (- (+ (* -1 x) (* -1 (/ (pow x 2) (* y z)))) (* 2 (/ (pow x 2) (* y z))))>
#<alt (- (+ (* -1 x) (+ (* -1 (/ (pow x 2) (* y z))) (/ (pow x 3) (* (pow y 2) (pow z 2))))) (+ (* -2 (/ (* x (- (* -1 (/ (pow x 2) z)) (* 2 (/ (pow x 2) z)))) (* (pow y 2) z))) (+ (* -1 (/ (pow x 3) (* (pow y 2) (pow z 2)))) (* 2 (/ (pow x 2) (* y z))))))>
#<alt (- (+ (* -1 x) (+ (* -1 (/ (+ (* -2 (/ (* x (- (/ (pow x 3) (pow z 2)) (+ (* -2 (/ (* x (- (* -1 (/ (pow x 2) z)) (* 2 (/ (pow x 2) z)))) z)) (* -1 (/ (pow x 3) (pow z 2)))))) z)) (/ (* (pow x 2) (- (* -1 (/ (pow x 2) z)) (* 2 (/ (pow x 2) z)))) (pow z 2))) (pow y 3))) (+ (* -1 (/ (pow x 2) (* y z))) (/ (pow x 3) (* (pow y 2) (pow z 2)))))) (+ (* -2 (/ (* x (- (* -1 (/ (pow x 2) z)) (* 2 (/ (pow x 2) z)))) (* (pow y 2) z))) (+ (* -1 (/ (pow x 3) (* (pow y 2) (pow z 2)))) (* 2 (/ (pow x 2) (* y z))))))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* -1 (/ (- (/ (pow x 2) z) (* -2 (/ (pow x 2) z))) y)))>
#<alt (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (- (/ (pow x 3) (pow z 2)) (+ (* -1 (/ (pow x 3) (pow z 2))) (* 2 (/ (* x (- (/ (pow x 2) z) (* -2 (/ (pow x 2) z)))) z)))) y)) (/ (pow x 2) z)) (* -2 (/ (pow x 2) z))) y)))>
#<alt (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (- (+ (* 2 (/ (* x (- (/ (pow x 3) (pow z 2)) (+ (* -1 (/ (pow x 3) (pow z 2))) (* 2 (/ (* x (- (/ (pow x 2) z) (* -2 (/ (pow x 2) z)))) z))))) (* y z))) (+ (/ (* (pow x 2) (- (/ (pow x 2) z) (* -2 (/ (pow x 2) z)))) (* y (pow z 2))) (/ (pow x 3) (pow z 2)))) (+ (* -1 (/ (pow x 3) (pow z 2))) (* 2 (/ (* x (- (/ (pow x 2) z) (* -2 (/ (pow x 2) z)))) z)))) y)) (/ (pow x 2) z)) (* -2 (/ (pow x 2) z))) y)))>
#<alt (* -1 x)>
#<alt (* x (- (* -3 (/ x (* y z))) 1))>
#<alt (* x (- (* x (- (* -4 (/ x (* (pow y 2) (pow z 2)))) (* 3 (/ 1 (* y z))))) 1))>
#<alt (* x (- (* x (- (* x (- (* -5 (/ x (* (pow y 3) (pow z 3)))) (* 4 (/ 1 (* (pow y 2) (pow z 2)))))) (* 3 (/ 1 (* y z))))) 1))>
#<alt x>
#<alt (* x (- (+ 1 (* -1 (/ (* y z) x))) (* -2 (/ (* y z) x))))>
#<alt (* x (- (+ 1 (+ (* -1 (/ (* y z) x)) (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))))) (+ (* -2 (/ (* y z) x)) (+ (* -2 (/ (* y (* z (- (* -1 (* y z)) (* -2 (* y z))))) (pow x 2))) (/ (* (pow y 2) (pow z 2)) (pow x 2))))))>
#<alt (* x (- (+ 1 (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (* -1 (/ (+ (* -2 (* y (* z (- (* -1 (* (pow y 2) (pow z 2))) (+ (* -2 (* y (* z (- (* -1 (* y z)) (* -2 (* y z)))))) (* (pow y 2) (pow z 2))))))) (* (pow y 2) (* (pow z 2) (- (* -1 (* y z)) (* -2 (* y z)))))) (pow x 3)))))) (+ (* -2 (/ (* y z) x)) (+ (* -2 (/ (* y (* z (- (* -1 (* y z)) (* -2 (* y z))))) (pow x 2))) (/ (* (pow y 2) (pow z 2)) (pow x 2))))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (* y z)) (* -2 (* y z))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (* y z)) (* -1 (/ (- (* (pow y 2) (pow z 2)) (+ (* -1 (* (pow y 2) (pow z 2))) (* 2 (* y (* z (- (* -1 (* y z)) (* -2 (* y z)))))))) x))) (* -2 (* y z))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (* y z)) (* -1 (/ (- (+ (* 2 (/ (* y (* z (- (* (pow y 2) (pow z 2)) (+ (* -1 (* (pow y 2) (pow z 2))) (* 2 (* y (* z (- (* -1 (* y z)) (* -2 (* y z)))))))))) x)) (+ (* (pow y 2) (pow z 2)) (/ (* (pow y 2) (* (pow z 2) (- (* -1 (* y z)) (* -2 (* y z))))) x))) (+ (* -1 (* (pow y 2) (pow z 2))) (* 2 (* y (* z (- (* -1 (* y z)) (* -2 (* y z)))))))) x))) (* -2 (* y z))) x)) 1)))>
#<alt x>
#<alt (+ x (* z (- (* -1 y) (* -2 y))))>
#<alt (+ x (* z (- (+ (* -1 y) (* z (- (* -1 (/ (pow y 2) x)) (+ (* -2 (/ (* y (- (* -1 y) (* -2 y))) x)) (/ (pow y 2) x))))) (* -2 y))))>
#<alt (+ x (* z (- (+ (* -1 y) (* z (- (+ (* -1 (* z (+ (* -2 (/ (* y (- (* -1 (/ (pow y 2) x)) (+ (* -2 (/ (* y (- (* -1 y) (* -2 y))) x)) (/ (pow y 2) x)))) x)) (/ (* (pow y 2) (- (* -1 y) (* -2 y))) (pow x 2))))) (* -1 (/ (pow y 2) x))) (+ (* -2 (/ (* y (- (* -1 y) (* -2 y))) x)) (/ (pow y 2) x))))) (* -2 y))))>
#<alt (* -1 x)>
#<alt (- (+ (* -1 x) (* -1 (/ (pow x 2) (* y z)))) (* 2 (/ (pow x 2) (* y z))))>
#<alt (- (+ (* -1 x) (+ (* -1 (/ (pow x 2) (* y z))) (/ (pow x 3) (* (pow y 2) (pow z 2))))) (+ (* -2 (/ (* x (- (* -1 (/ (pow x 2) y)) (* 2 (/ (pow x 2) y)))) (* y (pow z 2)))) (+ (* -1 (/ (pow x 3) (* (pow y 2) (pow z 2)))) (* 2 (/ (pow x 2) (* y z))))))>
#<alt (- (+ (* -1 x) (+ (* -1 (/ (+ (* -2 (/ (* x (- (/ (pow x 3) (pow y 2)) (+ (* -2 (/ (* x (- (* -1 (/ (pow x 2) y)) (* 2 (/ (pow x 2) y)))) y)) (* -1 (/ (pow x 3) (pow y 2)))))) y)) (/ (* (pow x 2) (- (* -1 (/ (pow x 2) y)) (* 2 (/ (pow x 2) y)))) (pow y 2))) (pow z 3))) (+ (* -1 (/ (pow x 2) (* y z))) (/ (pow x 3) (* (pow y 2) (pow z 2)))))) (+ (* -2 (/ (* x (- (* -1 (/ (pow x 2) y)) (* 2 (/ (pow x 2) y)))) (* y (pow z 2)))) (+ (* -1 (/ (pow x 3) (* (pow y 2) (pow z 2)))) (* 2 (/ (pow x 2) (* y z))))))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* -1 (/ (- (/ (pow x 2) y) (* -2 (/ (pow x 2) y))) z)))>
#<alt (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (- (/ (pow x 3) (pow y 2)) (+ (* -1 (/ (pow x 3) (pow y 2))) (* 2 (/ (* x (- (/ (pow x 2) y) (* -2 (/ (pow x 2) y)))) y)))) z)) (/ (pow x 2) y)) (* -2 (/ (pow x 2) y))) z)))>
#<alt (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (- (+ (* 2 (/ (* x (- (/ (pow x 3) (pow y 2)) (+ (* -1 (/ (pow x 3) (pow y 2))) (* 2 (/ (* x (- (/ (pow x 2) y) (* -2 (/ (pow x 2) y)))) y))))) (* y z))) (+ (/ (* (pow x 2) (- (/ (pow x 2) y) (* -2 (/ (pow x 2) y)))) (* (pow y 2) z)) (/ (pow x 3) (pow y 2)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (* 2 (/ (* x (- (/ (pow x 2) y) (* -2 (/ (pow x 2) y)))) y)))) z)) (/ (pow x 2) y)) (* -2 (/ (pow x 2) y))) z)))>
#<alt (* -1 (* x (* y (pow z 2))))>
#<alt (* x (- (* -1 (* x z)) (* y (pow z 2))))>
#<alt (* x (- (* -1 (* x z)) (* y (pow z 2))))>
#<alt (* x (- (* -1 (* x z)) (* y (pow z 2))))>
#<alt (* -1 (* (pow x 2) z))>
#<alt (* (pow x 2) (- (* -1 (/ (* y (pow z 2)) x)) z))>
#<alt (* (pow x 2) (- (* -1 (/ (* y (pow z 2)) x)) z))>
#<alt (* (pow x 2) (- (* -1 (/ (* y (pow z 2)) x)) z))>
#<alt (* -1 (* (pow x 2) z))>
#<alt (* (pow x 2) (- (* -1 (/ (* y (pow z 2)) x)) z))>
#<alt (* (pow x 2) (- (* -1 (/ (* y (pow z 2)) x)) z))>
#<alt (* (pow x 2) (- (* -1 (/ (* y (pow z 2)) x)) z))>
#<alt (* -1 (* (pow x 2) z))>
#<alt (- (* -1 (* x (* y (pow z 2)))) (* (pow x 2) z))>
#<alt (- (* -1 (* x (* y (pow z 2)))) (* (pow x 2) z))>
#<alt (- (* -1 (* x (* y (pow z 2)))) (* (pow x 2) z))>
#<alt (* -1 (* x (* y (pow z 2))))>
#<alt (* y (- (* -1 (/ (* (pow x 2) z) y)) (* x (pow z 2))))>
#<alt (* y (- (* -1 (/ (* (pow x 2) z) y)) (* x (pow z 2))))>
#<alt (* y (- (* -1 (/ (* (pow x 2) z) y)) (* x (pow z 2))))>
#<alt (* -1 (* x (* y (pow z 2))))>
#<alt (* -1 (* y (- (/ (* (pow x 2) z) y) (* -1 (* x (pow z 2))))))>
#<alt (* -1 (* y (- (/ (* (pow x 2) z) y) (* -1 (* x (pow z 2))))))>
#<alt (* -1 (* y (- (/ (* (pow x 2) z) y) (* -1 (* x (pow z 2))))))>
#<alt (* -1 (* (pow x 2) z))>
#<alt (* z (- (* -1 (* x (* y z))) (pow x 2)))>
#<alt (* z (- (* -1 (* x (* y z))) (pow x 2)))>
#<alt (* z (- (* -1 (* x (* y z))) (pow x 2)))>
#<alt (* -1 (* x (* y (pow z 2))))>
#<alt (* (pow z 2) (- (* -1 (/ (pow x 2) z)) (* x y)))>
#<alt (* (pow z 2) (- (* -1 (/ (pow x 2) z)) (* x y)))>
#<alt (* (pow z 2) (- (* -1 (/ (pow x 2) z)) (* x y)))>
#<alt (* -1 (* x (* y (pow z 2))))>
#<alt (* (pow z 2) (- (* -1 (/ (pow x 2) z)) (* x y)))>
#<alt (* (pow z 2) (- (* -1 (/ (pow x 2) z)) (* x y)))>
#<alt (* (pow z 2) (- (* -1 (/ (pow x 2) z)) (* x y)))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* -1/3 (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 y))))>
#<alt (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (* y z)>
#<alt (* y (+ z (* (pow y 2) (- (* -1/3 z) (* -1/6 z)))))>
#<alt (* y (+ z (* (pow y 2) (- (+ (* -1/3 z) (* (pow y 2) (- (* 2/45 z) (+ (* -1/6 (- (* -1/3 z) (* -1/6 z))) (* 1/120 z))))) (* -1/6 z)))))>
#<alt (* y (+ z (* (pow y 2) (- (+ (* -1/3 z) (* (pow y 2) (- (+ (* 2/45 z) (* (pow y 2) (- (* -1/315 z) (+ (* -1/6 (- (* 2/45 z) (+ (* -1/6 (- (* -1/3 z) (* -1/6 z))) (* 1/120 z)))) (+ (* -1/5040 z) (* 1/120 (- (* -1/3 z) (* -1/6 z)))))))) (+ (* -1/6 (- (* -1/3 z) (* -1/6 z))) (* 1/120 z))))) (* -1/6 z)))))>
#<alt (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (* z (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) (+ z (* -1/3 (* (pow y 2) z))))>
#<alt (* (pow y 2) (+ z (* (pow y 2) (+ (* -1/3 z) (* 2/45 (* (pow y 2) z))))))>
#<alt (* (pow y 2) (+ z (* (pow y 2) (+ (* -1/3 z) (* (pow y 2) (+ (* -1/315 (* (pow y 2) z)) (* 2/45 z)))))))>
#<alt (* z (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt -1/2>
#<alt (- (pow y 2) 1/2)>
#<alt (- (* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) 1/2)>
#<alt (- (* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3)))) 1/2)>
#<alt (* -1/2 (cos (* -2 y)))>
#<alt (* -1/2 (cos (* -2 y)))>
#<alt (* -1/2 (cos (* -2 y)))>
#<alt (* -1/2 (cos (* -2 y)))>
#<alt (* -1/2 (cos (* -2 y)))>
#<alt (* -1/2 (cos (* -2 y)))>
#<alt (* -1/2 (cos (* -2 y)))>
#<alt (* -1/2 (cos (* -2 y)))>
#<alt (/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* y z)>
#<alt (* y (+ z (* (pow y 2) (- (* -1/6 z) (* -1 z)))))>
#<alt (* y (+ z (* (pow y 2) (- (+ (* -1/6 z) (* (pow y 2) (- (* 1/120 z) (+ (* -1 (- (* -1/6 z) (* -1 z))) (* 1/3 z))))) (* -1 z)))))>
#<alt (* y (+ z (* (pow y 2) (- (+ (* -1/6 z) (* (pow y 2) (- (+ (* 1/120 z) (* (pow y 2) (- (* -1/5040 z) (+ (* -1 (- (* 1/120 z) (+ (* -1 (- (* -1/6 z) (* -1 z))) (* 1/3 z)))) (+ (* -2/45 z) (* 1/3 (- (* -1/6 z) (* -1 z)))))))) (+ (* -1 (- (* -1/6 z) (* -1 z))) (* 1/3 z))))) (* -1 z)))))>
#<alt (/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))>
#<alt (/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))>
#<alt (/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))>
#<alt (/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (neg (* -2 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 (* -1 x)>
#<alt (- (* y z) x)>
#<alt (- (* y z) x)>
#<alt (- (* y z) x)>
#<alt (* y z)>
#<alt (* y (+ z (* -1 (/ x y))))>
#<alt (* y (+ z (* -1 (/ x y))))>
#<alt (* y (+ z (* -1 (/ x y))))>
#<alt (* y z)>
#<alt (* -1 (* y (+ (* -1 z) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 z) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 z) (/ x y))))>
#<alt (* -1 x)>
#<alt (- (* y z) x)>
#<alt (- (* y z) x)>
#<alt (- (* y z) x)>
#<alt (* y z)>
#<alt (* z (+ y (* -1 (/ x z))))>
#<alt (* z (+ y (* -1 (/ x z))))>
#<alt (* z (+ y (* -1 (/ x z))))>
#<alt (* y z)>
#<alt (* -1 (* z (+ (* -1 y) (/ x z))))>
#<alt (* -1 (* z (+ (* -1 y) (/ x z))))>
#<alt (* -1 (* z (+ (* -1 y) (/ x z))))>
#<alt (* y z)>
#<alt (+ (* -1 x) (* y z))>
#<alt (+ (* -1 x) (* y z))>
#<alt (+ (* -1 x) (* y z))>
#<alt (* -1 x)>
#<alt (* x (- (/ (* y z) x) 1))>
#<alt (* x (- (/ (* y z) x) 1))>
#<alt (* x (- (/ (* y z) x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (* y z) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (* y z) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (* y z) x)))))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<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)>
Calls

150 calls:

TimeVariablePointExpression
7.0ms
y
@inf
(+ (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)))
5.0ms
y
@-inf
(/ (+ (* y (neg (+ (* x (* y (* z z))) (* z (* x x))))) (* x (* x x))) (* (- (* y z) x) (- (* y z) x)))
3.0ms
y
@inf
(/ (* z (+ 1/2 (* -1/2 (cos (* y -2))))) (sin y))
2.0ms
z
@0
(+ (* x (* y (* z z))) (* z (* x x)))
1.0ms
z
@0
(/ (* z (+ 1/2 (* -1/2 (cos (* y -2))))) (sin y))

rewrite418.0ms (3.1%)

Memory
21.7MiB live, 610.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 570×lower-*.f32
5 542×lower-*.f64
3 666×lower-fma.f32
3 654×lower-fma.f64
3 632×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040249
080229
1310213
22477213
08380206
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
24 → 781
Calls
Call 1
Inputs
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) z) x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y x) z)
(*.f64 y x)
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(*.f64 x (*.f64 x x))
(*.f64 x x)
(*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x))
(fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x)))
(fma.f64 y (neg.f64 (fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x)))) (*.f64 x (*.f64 x x)))
(/.f64 (fma.f64 y (neg.f64 (fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(neg.f64 (fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))
(/.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y))
(*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
(*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))
(/.f64 (*.f64 z (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
(*.f64 z (sin.f64 y))
(-.f64 (*.f64 y z) x)
(*.f64 y (*.f64 z z))
(sin.f64 y)
Outputs
(+.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.f64 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.f64 y)))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.f64 y)))) (/.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.f64 y)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.f64 y)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 y))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(fma.f64 z (*.f64 (/.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.f64 y)))
(fma.f64 (*.f64 z (sin.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.f64 y)))
(fma.f64 (/.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.f64 y)))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(fma.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 y))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.f64 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x)) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.f64 y)))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) x (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) z) (/.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.f64 y)))
(fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.f64 y)))
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(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 y z)))) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (fma.f64 y z x)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) (neg.f64 (fma.f64 y z x)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 y z)))) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (fma.f64 y z x)))) (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (fma.f64 y z x))) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (fma.f64 y z x))) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (fma.f64 y z x)))))
(/.f64 (-.f64 (*.f64 (*.f64 z (*.f64 y (*.f64 y z))) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (*.f64 x x))) (*.f64 (fma.f64 y z x) (fma.f64 y z x)))
(pow.f64 (-.f64 (*.f64 y z) x) #s(literal 1 binary64))
(pow.f64 (/.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (fma.f64 y z x))) (-.f64 (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 y z)))) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) #s(literal -1 binary64))
(*.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 y z)))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (fma.f64 y z x)))))
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
(*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 y z)))) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (fma.f64 y z x)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) #s(literal 1 binary64)))
(*.f64 y (*.f64 z z))
(*.f64 z (*.f64 y z))
(*.f64 (*.f64 y z) z)
(*.f64 (*.f64 z z) y)
(sin.f64 y)

simplify567.0ms (4.2%)

Memory
-13.0MiB live, 540.8MiB allocated
Algorithm
1×egg-herbie
Rules
9 090×lower-fma.f64
9 090×lower-fma.f32
5 806×lower-*.f64
5 806×lower-*.f32
5 376×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010208623
134737787
081977312
Stop Event
1×iter limit
1×node limit
Counts
600 → 585
Calls
Call 1
Inputs
x
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1
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(* y z)
(* -1 (* y (+ (* -1 z) (/ x y))))
(* -1 (* y (+ (* -1 z) (/ x y))))
(* -1 (* y (+ (* -1 z) (/ x y))))
(* -1 x)
(- (* y z) x)
(- (* y z) x)
(- (* y z) x)
(* y z)
(* z (+ y (* -1 (/ x z))))
(* z (+ y (* -1 (/ x z))))
(* z (+ y (* -1 (/ x z))))
(* y z)
(* -1 (* z (+ (* -1 y) (/ x z))))
(* -1 (* z (+ (* -1 y) (/ x z))))
(* -1 (* z (+ (* -1 y) (/ x z))))
(* y z)
(+ (* -1 x) (* y z))
(+ (* -1 x) (* y z))
(+ (* -1 x) (* y z))
(* -1 x)
(* x (- (/ (* y z) x) 1))
(* x (- (/ (* y z) x) 1))
(* x (- (/ (* y z) x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (* y z) x)))))
(* -1 (* x (+ 1 (* -1 (/ (* y z) x)))))
(* -1 (* x (+ 1 (* -1 (/ (* y z) x)))))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
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)
Outputs
x
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y (+ z (* y (- (* -1 x) (* -1/2 x))))))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x)
(+ x (* y (+ z (* y (- (+ (* -1 x) (* y (- (* -7/6 z) (* -1 z)))) (* -1/2 x))))))
(fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) z) x)
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 z (*.f64 (sin.f64 y) #s(literal 1 binary64))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 z (*.f64 (sin.f64 y) #s(literal 1 binary64))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 z (*.f64 (sin.f64 y) #s(literal 1 binary64))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 z (*.f64 (sin.f64 y) #s(literal 1 binary64))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 z (*.f64 (sin.f64 y) #s(literal 1 binary64))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 z (*.f64 (sin.f64 y) #s(literal 1 binary64))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 z (*.f64 (sin.f64 y) #s(literal 1 binary64))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 z (*.f64 (sin.f64 y) #s(literal 1 binary64))))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 z (*.f64 (sin.f64 y) #s(literal 1 binary64))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 z (*.f64 (sin.f64 y) #s(literal 1 binary64))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 z (*.f64 (sin.f64 y) #s(literal 1 binary64))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 z (*.f64 (sin.f64 y) #s(literal 1 binary64)))
(* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(*.f64 z (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (cos.f64 y))) (*.f64 (sin.f64 y) #s(literal 1 binary64))))
(* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(*.f64 z (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (cos.f64 y))) (*.f64 (sin.f64 y) #s(literal 1 binary64))))
(* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(*.f64 z (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (cos.f64 y))) (*.f64 (sin.f64 y) #s(literal 1 binary64))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 z (*.f64 (sin.f64 y) #s(literal 1 binary64)))
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))))
(*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (cos.f64 y))) (*.f64 (sin.f64 y) #s(literal -1 binary64))))
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))))
(*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (cos.f64 y))) (*.f64 (sin.f64 y) #s(literal -1 binary64))))
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))))
(*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (cos.f64 y))) (*.f64 (sin.f64 y) #s(literal -1 binary64))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 z (*.f64 (sin.f64 y) #s(literal 1 binary64)))
(+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (*.f64 z (*.f64 (sin.f64 y) #s(literal 1 binary64))))
(+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (*.f64 z (*.f64 (sin.f64 y) #s(literal 1 binary64))))
(+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (*.f64 z (*.f64 (sin.f64 y) #s(literal 1 binary64))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))))))
(*.f64 x (fma.f64 z (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))))))
(*.f64 x (fma.f64 z (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))))))
(*.f64 x (fma.f64 z (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))
(neg.f64 (*.f64 x (fma.f64 (/.f64 z x) (*.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (cos.f64 y))))))
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))
(neg.f64 (*.f64 x (fma.f64 (/.f64 z x) (*.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (cos.f64 y))))))
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))
(neg.f64 (*.f64 x (fma.f64 (/.f64 z x) (*.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (cos.f64 y))))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow y 2)))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -2/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow y 2)))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -2/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow y 2)))
(fma.f64 #s(literal -2 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 2/3 binary64) #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
x
(+ x (* y z))
(fma.f64 y z 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 (* -1/2 (* x y)))))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x)
(* -1/2 (* x (pow y 2)))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)))
(* (pow y 2) (+ (* -1/2 x) (/ z y)))
(*.f64 (*.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (/.f64 z y)))
(* (pow y 2) (+ (* -1/2 x) (+ (/ x (pow y 2)) (/ z y))))
(*.f64 (*.f64 y y) (+.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 z y)) (/.f64 x (*.f64 y y))))
(* (pow y 2) (+ (* -1/2 x) (+ (/ x (pow y 2)) (/ z y))))
(*.f64 (*.f64 y y) (+.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 z y)) (/.f64 x (*.f64 y y))))
(* -1/2 (* x (pow y 2)))
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(/.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(/.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(/.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(/.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(/.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(/.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(/.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(/.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* y z)
(*.f64 y z)
(* y (+ z (* (pow y 2) (- (* -1/6 z) (* -1 z)))))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal 5/6 binary64)) z))
(* y (+ z (* (pow y 2) (- (+ (* -1/6 z) (* (pow y 2) (- (* 1/120 z) (+ (* -1 (- (* -1/6 z) (* -1 z))) (* 1/3 z))))) (* -1 z)))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal 1/120 binary64)) (fma.f64 z #s(literal 1/3 binary64) (*.f64 z #s(literal -5/6 binary64)))) (*.f64 z #s(literal 5/6 binary64))) z))
(* y (+ z (* (pow y 2) (- (+ (* -1/6 z) (* (pow y 2) (- (+ (* 1/120 z) (* (pow y 2) (- (* -1/5040 z) (+ (* -1 (- (* 1/120 z) (+ (* -1 (- (* -1/6 z) (* -1 z))) (* 1/3 z)))) (+ (* -2/45 z) (* 1/3 (- (* -1/6 z) (* -1 z)))))))) (+ (* -1 (- (* -1/6 z) (* -1 z))) (* 1/3 z))))) (* -1 z)))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal -1/5040 binary64)) (-.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 z #s(literal 5/6 binary64)) (*.f64 z #s(literal -2/45 binary64))) (-.f64 (*.f64 z #s(literal 1/120 binary64)) (fma.f64 z #s(literal 1/3 binary64) (*.f64 z #s(literal -5/6 binary64)))))) (-.f64 (*.f64 z #s(literal 1/120 binary64)) (fma.f64 z #s(literal 1/3 binary64) (*.f64 z #s(literal -5/6 binary64))))) (*.f64 z #s(literal 5/6 binary64))) z))
(/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(/.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(/.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(/.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(/.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))
(/.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))
(/.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))
(/.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))
(/.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* 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 z (*.f64 y 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 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 z #s(literal -1/6 binary64))) z))
(* 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))
(* -1 x)
(neg.f64 x)
(- (* y z) x)
(-.f64 (*.f64 y z) x)
(- (* y z) x)
(-.f64 (*.f64 y z) x)
(- (* y z) x)
(-.f64 (*.f64 y z) x)
(* y z)
(*.f64 y z)
(* y (+ z (* -1 (/ x y))))
(*.f64 y (-.f64 z (/.f64 x y)))
(* y (+ z (* -1 (/ x y))))
(*.f64 y (-.f64 z (/.f64 x y)))
(* y (+ z (* -1 (/ x y))))
(*.f64 y (-.f64 z (/.f64 x y)))
(* y z)
(*.f64 y z)
(* -1 (* y (+ (* -1 z) (/ x y))))
(neg.f64 (*.f64 y (-.f64 (/.f64 x y) z)))
(* -1 (* y (+ (* -1 z) (/ x y))))
(neg.f64 (*.f64 y (-.f64 (/.f64 x y) z)))
(* -1 (* y (+ (* -1 z) (/ x y))))
(neg.f64 (*.f64 y (-.f64 (/.f64 x y) z)))
(* -1 x)
(neg.f64 x)
(- (* y z) x)
(-.f64 (*.f64 y z) x)
(- (* y z) x)
(-.f64 (*.f64 y z) x)
(- (* y z) x)
(-.f64 (*.f64 y z) x)
(* y z)
(*.f64 y z)
(* z (+ y (* -1 (/ x z))))
(*.f64 z (-.f64 y (/.f64 x z)))
(* z (+ y (* -1 (/ x z))))
(*.f64 z (-.f64 y (/.f64 x z)))
(* z (+ y (* -1 (/ x z))))
(*.f64 z (-.f64 y (/.f64 x z)))
(* y z)
(*.f64 y z)
(* -1 (* z (+ (* -1 y) (/ x z))))
(*.f64 (neg.f64 z) (-.f64 (/.f64 x z) y))
(* -1 (* z (+ (* -1 y) (/ x z))))
(*.f64 (neg.f64 z) (-.f64 (/.f64 x z) y))
(* -1 (* z (+ (* -1 y) (/ x z))))
(*.f64 (neg.f64 z) (-.f64 (/.f64 x z) y))
(* y z)
(*.f64 y z)
(+ (* -1 x) (* y z))
(-.f64 (*.f64 y z) x)
(+ (* -1 x) (* y z))
(-.f64 (*.f64 y z) x)
(+ (* -1 x) (* y z))
(-.f64 (*.f64 y z) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ (* y z) x) 1))
(*.f64 x (fma.f64 y (/.f64 z x) #s(literal -1 binary64)))
(* x (- (/ (* y z) x) 1))
(*.f64 x (fma.f64 y (/.f64 z x) #s(literal -1 binary64)))
(* x (- (/ (* y z) x) 1))
(*.f64 x (fma.f64 y (/.f64 z x) #s(literal -1 binary64)))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (* y z) x)))))
(neg.f64 (fma.f64 x (*.f64 y (/.f64 z (neg.f64 x))) x))
(* -1 (* x (+ 1 (* -1 (/ (* y z) x)))))
(neg.f64 (fma.f64 x (*.f64 y (/.f64 z (neg.f64 x))) x))
(* -1 (* x (+ 1 (* -1 (/ (* y z) x)))))
(neg.f64 (fma.f64 x (*.f64 y (/.f64 z (neg.f64 x))) x))
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* y (pow z 2))
(*.f64 y (*.f64 z z))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)

eval364.0ms (2.7%)

Memory
49.7MiB live, 419.0MiB allocated
Compiler

Compiled 68 941 to 3 772 computations (94.5% saved)

prune514.0ms (3.8%)

Memory
-74.2MiB live, 511.4MiB allocated
Pruning

56 alts after pruning (52 fresh and 4 done)

PrunedKeptTotal
New1 711311 742
Fresh162137
Picked505
Done044
Total1 732561 788
Accuracy
100.0%
Counts
1 788 → 56
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) z) (/.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.f64 y)))
✓99.9%
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
80.0%
(fma.f64 (sin.f64 y) z (*.f64 x #s(literal 1 binary64)))
45.5%
(fma.f64 z (fma.f64 z (neg.f64 (fma.f64 y (/.f64 y x) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 y y) x) (/.f64 (*.f64 y y) x)))) y) x)
✓59.0%
(fma.f64 z y x)
36.9%
(fma.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x)) (*.f64 z #s(literal 2 binary64))) x)
15.8%
(fma.f64 y (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 z (*.f64 z z))) (fma.f64 z (-.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y x))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (*.f64 y x))))) x)
34.7%
(fma.f64 y (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (*.f64 y x)) (neg.f64 (*.f64 z z))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z)) x)
34.7%
(fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (*.f64 y x)) (neg.f64 (*.f64 z z))))) x)
44.4%
(fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) x)
51.9%
(fma.f64 y (*.f64 x (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x))) x)
52.3%
(fma.f64 x (*.f64 y (/.f64 z x)) x)
33.1%
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) x) x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
23.5%
(/.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) z (*.f64 #s(literal 1/2 binary64) z)) (sin.f64 y))
13.8%
(/.f64 (fma.f64 y (*.f64 (*.f64 x x) (neg.f64 (fma.f64 y (/.f64 (*.f64 z z) x) z))) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
14.4%
(/.f64 (fma.f64 y (*.f64 (neg.f64 x) (*.f64 y (*.f64 z z))) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
15.4%
(/.f64 (fma.f64 y (*.f64 z (neg.f64 (*.f64 x (fma.f64 y z x)))) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
2.1%
(/.f64 (fma.f64 y (neg.f64 (fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x)))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 y z)))))
15.1%
(/.f64 (fma.f64 y (neg.f64 (fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x)))) (*.f64 x (*.f64 x x))) (fma.f64 x x (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 y z)))))
16.7%
(/.f64 (fma.f64 y (neg.f64 (fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (neg.f64 x)))
14.5%
(/.f64 (fma.f64 y (neg.f64 (fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 y z) x) #s(literal 1 binary64))))
15.9%
(/.f64 (/.f64 (fma.f64 (neg.f64 y) (*.f64 x (fma.f64 y (*.f64 z z) (*.f64 z x))) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x))
23.4%
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))))) z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 y))
44.8%
(/.f64 (-.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
42.2%
(/.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) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
23.5%
(/.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) z) (sin.f64 y))
32.7%
(/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x))
64.1%
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.f64 y))
23.3%
(/.f64 (*.f64 (/.f64 x (-.f64 (*.f64 y z) x)) (*.f64 x x)) (-.f64 (*.f64 y z) x))
6.4%
(/.f64 (*.f64 (*.f64 z z) (neg.f64 (fma.f64 x (*.f64 y y) (/.f64 (-.f64 (*.f64 y (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) z)) z)))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
29.1%
(/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (-.f64 (*.f64 z y) (*.f64 x (cos.f64 y))))
3.5%
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y z) (*.f64 y z)))
16.6%
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
15.9%
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y z) x) (/.f64 (-.f64 (*.f64 y z) x) (fma.f64 (neg.f64 y) (*.f64 x (fma.f64 y (*.f64 z z) (*.f64 z x))) (*.f64 x (*.f64 x x))))))
25.2%
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y z) x) (/.f64 (-.f64 (*.f64 y z) x) (*.f64 (-.f64 (*.f64 y z) x) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))))))
15.9%
(*.f64 (/.f64 (fma.f64 (neg.f64 y) (*.f64 x (fma.f64 y (*.f64 z z) (*.f64 z x))) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))
44.7%
(*.f64 (/.f64 x (-.f64 (*.f64 y z) x)) (*.f64 x (/.f64 x (-.f64 (*.f64 y z) x))))
24.0%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))))
23.5%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
32.6%
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))
16.2%
(*.f64 (*.f64 z y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
18.1%
(*.f64 (*.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (/.f64 (-.f64 (neg.f64 z) (/.f64 x y)) (neg.f64 y))))
21.1%
(*.f64 (*.f64 x x) (/.f64 x (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x))))
15.9%
(*.f64 z (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
85.8%
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
✓36.6%
(*.f64 z (sin.f64 y))
15.9%
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y y)) z))
40.4%
(*.f64 y (+.f64 z (/.f64 x y)))
✓16.4%
(*.f64 y z)
91.3%
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
64.0%
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
64.0%
(*.f64 x (*.f64 x (/.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))))
64.3%
(*.f64 x (cos.f64 y))
2.9%
(*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)))
87.7%
(neg.f64 (*.f64 x (fma.f64 (/.f64 z x) (*.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (cos.f64 y))))))
4.5%
(neg.f64 x)
Compiler

Compiled 3 497 to 1 064 computations (69.6% saved)

regimes198.0ms (1.5%)

Memory
-9.0MiB live, 210.1MiB allocated
Counts
100 → 1
Calls
Call 1
Inputs
(neg.f64 x)
(*.f64 y z)
(fma.f64 z y x)
(*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)))
(fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) x)
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) z) x)
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y y)) z))
(*.f64 z (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
(fma.f64 x (*.f64 y (/.f64 z x)) x)
(+.f64 x (*.f64 x (/.f64 (*.f64 z y) x)))
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
(fma.f64 y (*.f64 x (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x))) x)
(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)
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y))) z))
(*.f64 z (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y))
(*.f64 (*.f64 z y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y z) (*.f64 y z)))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 z #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y)))) z))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 z #s(literal 1/120 binary64)) y) y (*.f64 z #s(literal -1/6 binary64))) z))
(/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x))
(fma.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x)) (*.f64 z #s(literal 2 binary64))) x)
(*.f64 (*.f64 x x) (/.f64 x (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x))))
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 z (*.f64 y z)))) (-.f64 x (*.f64 y z)))
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))
(*.f64 (*.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (/.f64 (-.f64 (neg.f64 z) (/.f64 x y)) (neg.f64 y))))
(*.f64 (/.f64 x (-.f64 (*.f64 y z) x)) (*.f64 x (/.f64 x (-.f64 (*.f64 y z) x))))
(/.f64 (*.f64 (/.f64 x (-.f64 (*.f64 y z) x)) (*.f64 x x)) (-.f64 (*.f64 y z) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y z) x) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 z y) x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(fma.f64 y (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (*.f64 y x)) (neg.f64 (*.f64 z z))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z)) x)
(/.f64 (fma.f64 y (*.f64 (neg.f64 x) (*.f64 y (*.f64 z z))) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (*.f64 (*.f64 x (*.f64 x (neg.f64 x))) (fma.f64 y (/.f64 z x) #s(literal -1 binary64))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (fma.f64 y (*.f64 z (neg.f64 (*.f64 x (fma.f64 y z x)))) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (*.f64 y x)) (neg.f64 (*.f64 z z))))) x)
(fma.f64 z (fma.f64 z (neg.f64 (fma.f64 y (/.f64 y x) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 y y) x) (/.f64 (*.f64 y y) x)))) y) x)
(/.f64 (fma.f64 y (neg.f64 (fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y z) x) (/.f64 (-.f64 (*.f64 y z) x) (*.f64 (-.f64 (*.f64 y z) x) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))))))
(/.f64 (-.f64 (*.f64 (neg.f64 x) (*.f64 y (*.f64 z (*.f64 z y)))) (*.f64 (-.f64 (*.f64 y z) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x)) (*.f64 x (*.f64 x (neg.f64 x)))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (fma.f64 y (neg.f64 (fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (fma.f64 y (neg.f64 (fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x)))) (*.f64 x (*.f64 x x))) (fma.f64 x x (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 y z)))))
(/.f64 (fma.f64 z (neg.f64 (fma.f64 x (*.f64 z (*.f64 y y)) (*.f64 y (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (fma.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 x x))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))))
(/.f64 (/.f64 (fma.f64 (neg.f64 y) (*.f64 x (fma.f64 y (*.f64 z z) (*.f64 z x))) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x)) (*.f64 (*.f64 z y) (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(*.f64 (fma.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z))))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 z (*.f64 y 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)))
(/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 y z) x) y) (*.f64 y (*.f64 z z)) (neg.f64 (*.f64 (-.f64 (*.f64 y z) x) (*.f64 x x)))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) (*.f64 x (fma.f64 y (*.f64 z z) (*.f64 z x))) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y z) x) (/.f64 (-.f64 (*.f64 y z) x) (fma.f64 (neg.f64 y) (*.f64 x (fma.f64 y (*.f64 z z) (*.f64 z x))) (*.f64 x (*.f64 x x))))))
(/.f64 (fma.f64 y (*.f64 (*.f64 x x) (neg.f64 (fma.f64 y (/.f64 (*.f64 z z) x) z))) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (fma.f64 y (neg.f64 (fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x)))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 y z)))))
(/.f64 (fma.f64 y (neg.f64 (fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 y z) x) #s(literal 1 binary64))))
(fma.f64 y (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 z (*.f64 z z))) (fma.f64 z (-.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y x))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (*.f64 y x))))) x)
(/.f64 (*.f64 (*.f64 z z) (neg.f64 (fma.f64 x (*.f64 y y) (/.f64 (-.f64 (*.f64 y (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) z)) z)))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x)) (*.f64 z (fma.f64 y (*.f64 x x) (/.f64 (*.f64 x (*.f64 x (neg.f64 x))) z)))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(*.f64 x (cos.f64 y))
(*.f64 z (sin.f64 y))
(fma.f64 (sin.f64 y) z (*.f64 x #s(literal 1 binary64)))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.f64 y))
(/.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) z) (sin.f64 y))
(/.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) z (*.f64 #s(literal 1/2 binary64) z)) (sin.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (-.f64 (*.f64 z y) (*.f64 x (cos.f64 y))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(*.f64 x (*.f64 x (/.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(neg.f64 (*.f64 x (fma.f64 (/.f64 z x) (*.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (cos.f64 y))))))
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) x) x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))))) z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 y))
(+.f64 (*.f64 x (cos.f64 y)) (exp.f64 (log.f64 (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.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 (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) (*.f64 (*.f64 z z) (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)))) (*.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 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(/.f64 (-.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) z) (/.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.f64 y)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 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 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (neg.f64 x))
(fma.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (fma.f64 z (/.f64 (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
(/.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 #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 (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 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y)))) (*.f64 (cos.f64 y) #s(literal 1 binary64))) (*.f64 (cos.f64 y) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))))))
(/.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 (fma.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) #s(literal 2 binary64)))) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))))
Outputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
Calls

4 calls:

87.0ms
z
45.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
31.0ms
y
29.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1z
99.9%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes81.0ms (0.6%)

Memory
-0.3MiB live, 190.7MiB allocated
Counts
63 → 3
Calls
Call 1
Inputs
(neg.f64 x)
(*.f64 y z)
(fma.f64 z y x)
(*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)))
(fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) x)
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) z) x)
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y y)) z))
(*.f64 z (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
(fma.f64 x (*.f64 y (/.f64 z x)) x)
(+.f64 x (*.f64 x (/.f64 (*.f64 z y) x)))
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
(fma.f64 y (*.f64 x (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x))) x)
(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)
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y))) z))
(*.f64 z (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y))
(*.f64 (*.f64 z y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y z) (*.f64 y z)))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 z #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y)))) z))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 z #s(literal 1/120 binary64)) y) y (*.f64 z #s(literal -1/6 binary64))) z))
(/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x))
(fma.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x)) (*.f64 z #s(literal 2 binary64))) x)
(*.f64 (*.f64 x x) (/.f64 x (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x))))
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 z (*.f64 y z)))) (-.f64 x (*.f64 y z)))
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))
(*.f64 (*.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (/.f64 (-.f64 (neg.f64 z) (/.f64 x y)) (neg.f64 y))))
(*.f64 (/.f64 x (-.f64 (*.f64 y z) x)) (*.f64 x (/.f64 x (-.f64 (*.f64 y z) x))))
(/.f64 (*.f64 (/.f64 x (-.f64 (*.f64 y z) x)) (*.f64 x x)) (-.f64 (*.f64 y z) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y z) x) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 z y) x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(fma.f64 y (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (*.f64 y x)) (neg.f64 (*.f64 z z))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z)) x)
(/.f64 (fma.f64 y (*.f64 (neg.f64 x) (*.f64 y (*.f64 z z))) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (*.f64 (*.f64 x (*.f64 x (neg.f64 x))) (fma.f64 y (/.f64 z x) #s(literal -1 binary64))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (fma.f64 y (*.f64 z (neg.f64 (*.f64 x (fma.f64 y z x)))) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (*.f64 y x)) (neg.f64 (*.f64 z z))))) x)
(fma.f64 z (fma.f64 z (neg.f64 (fma.f64 y (/.f64 y x) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 y y) x) (/.f64 (*.f64 y y) x)))) y) x)
(/.f64 (fma.f64 y (neg.f64 (fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y z) x) (/.f64 (-.f64 (*.f64 y z) x) (*.f64 (-.f64 (*.f64 y z) x) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))))))
(/.f64 (-.f64 (*.f64 (neg.f64 x) (*.f64 y (*.f64 z (*.f64 z y)))) (*.f64 (-.f64 (*.f64 y z) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x)) (*.f64 x (*.f64 x (neg.f64 x)))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (fma.f64 y (neg.f64 (fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (fma.f64 y (neg.f64 (fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x)))) (*.f64 x (*.f64 x x))) (fma.f64 x x (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 y z)))))
(/.f64 (fma.f64 z (neg.f64 (fma.f64 x (*.f64 z (*.f64 y y)) (*.f64 y (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (fma.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 x x))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))))
(/.f64 (/.f64 (fma.f64 (neg.f64 y) (*.f64 x (fma.f64 y (*.f64 z z) (*.f64 z x))) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x)) (*.f64 (*.f64 z y) (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(*.f64 (fma.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z))))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 z (*.f64 y 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)))
(/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 y z) x) y) (*.f64 y (*.f64 z z)) (neg.f64 (*.f64 (-.f64 (*.f64 y z) x) (*.f64 x x)))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) (*.f64 x (fma.f64 y (*.f64 z z) (*.f64 z x))) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y z) x) (/.f64 (-.f64 (*.f64 y z) x) (fma.f64 (neg.f64 y) (*.f64 x (fma.f64 y (*.f64 z z) (*.f64 z x))) (*.f64 x (*.f64 x x))))))
(/.f64 (fma.f64 y (*.f64 (*.f64 x x) (neg.f64 (fma.f64 y (/.f64 (*.f64 z z) x) z))) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (fma.f64 y (neg.f64 (fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x)))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 y z)))))
(/.f64 (fma.f64 y (neg.f64 (fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 y z) x) #s(literal 1 binary64))))
(fma.f64 y (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 z (*.f64 z z))) (fma.f64 z (-.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y x))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (*.f64 y x))))) x)
(/.f64 (*.f64 (*.f64 z z) (neg.f64 (fma.f64 x (*.f64 y y) (/.f64 (-.f64 (*.f64 y (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) z)) z)))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x)) (*.f64 z (fma.f64 y (*.f64 x x) (/.f64 (*.f64 x (*.f64 x (neg.f64 x))) z)))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(*.f64 x (cos.f64 y))
(*.f64 z (sin.f64 y))
(fma.f64 (sin.f64 y) z (*.f64 x #s(literal 1 binary64)))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
Outputs
(*.f64 x (cos.f64 y))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
Calls

4 calls:

20.0ms
z
19.0ms
y
19.0ms
x
19.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Results
AccuracySegmentsBranch
90.5%3x
82.9%2y
89.4%3z
81.8%2(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes22.0ms (0.2%)

Memory
9.3MiB live, 46.7MiB allocated
Counts
62 → 3
Calls
Call 1
Inputs
(neg.f64 x)
(*.f64 y z)
(fma.f64 z y x)
(*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)))
(fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) x)
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) z) x)
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y y)) z))
(*.f64 z (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
(fma.f64 x (*.f64 y (/.f64 z x)) x)
(+.f64 x (*.f64 x (/.f64 (*.f64 z y) x)))
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
(fma.f64 y (*.f64 x (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x))) x)
(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)
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y))) z))
(*.f64 z (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y))
(*.f64 (*.f64 z y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y z) (*.f64 y z)))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 z #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y)))) z))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 z #s(literal 1/120 binary64)) y) y (*.f64 z #s(literal -1/6 binary64))) z))
(/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x))
(fma.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x)) (*.f64 z #s(literal 2 binary64))) x)
(*.f64 (*.f64 x x) (/.f64 x (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x))))
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 z (*.f64 y z)))) (-.f64 x (*.f64 y z)))
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))
(*.f64 (*.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (/.f64 (-.f64 (neg.f64 z) (/.f64 x y)) (neg.f64 y))))
(*.f64 (/.f64 x (-.f64 (*.f64 y z) x)) (*.f64 x (/.f64 x (-.f64 (*.f64 y z) x))))
(/.f64 (*.f64 (/.f64 x (-.f64 (*.f64 y z) x)) (*.f64 x x)) (-.f64 (*.f64 y z) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y z) x) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 z y) x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(fma.f64 y (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (*.f64 y x)) (neg.f64 (*.f64 z z))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z)) x)
(/.f64 (fma.f64 y (*.f64 (neg.f64 x) (*.f64 y (*.f64 z z))) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (*.f64 (*.f64 x (*.f64 x (neg.f64 x))) (fma.f64 y (/.f64 z x) #s(literal -1 binary64))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (fma.f64 y (*.f64 z (neg.f64 (*.f64 x (fma.f64 y z x)))) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (*.f64 y x)) (neg.f64 (*.f64 z z))))) x)
(fma.f64 z (fma.f64 z (neg.f64 (fma.f64 y (/.f64 y x) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 y y) x) (/.f64 (*.f64 y y) x)))) y) x)
(/.f64 (fma.f64 y (neg.f64 (fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y z) x) (/.f64 (-.f64 (*.f64 y z) x) (*.f64 (-.f64 (*.f64 y z) x) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))))))
(/.f64 (-.f64 (*.f64 (neg.f64 x) (*.f64 y (*.f64 z (*.f64 z y)))) (*.f64 (-.f64 (*.f64 y z) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x)) (*.f64 x (*.f64 x (neg.f64 x)))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (fma.f64 y (neg.f64 (fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (fma.f64 y (neg.f64 (fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x)))) (*.f64 x (*.f64 x x))) (fma.f64 x x (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 y z)))))
(/.f64 (fma.f64 z (neg.f64 (fma.f64 x (*.f64 z (*.f64 y y)) (*.f64 y (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (fma.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 x x))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))))
(/.f64 (/.f64 (fma.f64 (neg.f64 y) (*.f64 x (fma.f64 y (*.f64 z z) (*.f64 z x))) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x)) (*.f64 (*.f64 z y) (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(*.f64 (fma.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z))))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 z (*.f64 y 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)))
(/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 y z) x) y) (*.f64 y (*.f64 z z)) (neg.f64 (*.f64 (-.f64 (*.f64 y z) x) (*.f64 x x)))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) (*.f64 x (fma.f64 y (*.f64 z z) (*.f64 z x))) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y z) x) (/.f64 (-.f64 (*.f64 y z) x) (fma.f64 (neg.f64 y) (*.f64 x (fma.f64 y (*.f64 z z) (*.f64 z x))) (*.f64 x (*.f64 x x))))))
(/.f64 (fma.f64 y (*.f64 (*.f64 x x) (neg.f64 (fma.f64 y (/.f64 (*.f64 z z) x) z))) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (fma.f64 y (neg.f64 (fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x)))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 y z)))))
(/.f64 (fma.f64 y (neg.f64 (fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 y z) x) #s(literal 1 binary64))))
(fma.f64 y (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 z (*.f64 z z))) (fma.f64 z (-.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y x))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (*.f64 y x))))) x)
(/.f64 (*.f64 (*.f64 z z) (neg.f64 (fma.f64 x (*.f64 y y) (/.f64 (-.f64 (*.f64 y (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) z)) z)))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x)) (*.f64 z (fma.f64 y (*.f64 x x) (/.f64 (*.f64 x (*.f64 x (neg.f64 x))) z)))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(*.f64 x (cos.f64 y))
(*.f64 z (sin.f64 y))
(fma.f64 (sin.f64 y) z (*.f64 x #s(literal 1 binary64)))
Outputs
(*.f64 x (cos.f64 y))
(fma.f64 (sin.f64 y) z (*.f64 x #s(literal 1 binary64)))
(*.f64 x (cos.f64 y))
Calls

1 calls:

19.0ms
x
Results
AccuracySegmentsBranch
90.5%3x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes79.0ms (0.6%)

Memory
-8.1MiB live, 193.4MiB allocated
Counts
61 → 4
Calls
Call 1
Inputs
(neg.f64 x)
(*.f64 y z)
(fma.f64 z y x)
(*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)))
(fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) x)
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) z) x)
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y y)) z))
(*.f64 z (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
(fma.f64 x (*.f64 y (/.f64 z x)) x)
(+.f64 x (*.f64 x (/.f64 (*.f64 z y) x)))
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
(fma.f64 y (*.f64 x (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x))) x)
(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)
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y))) z))
(*.f64 z (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y))
(*.f64 (*.f64 z y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y z) (*.f64 y z)))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 z #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y)))) z))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 z #s(literal 1/120 binary64)) y) y (*.f64 z #s(literal -1/6 binary64))) z))
(/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x))
(fma.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x)) (*.f64 z #s(literal 2 binary64))) x)
(*.f64 (*.f64 x x) (/.f64 x (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x))))
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 z (*.f64 y z)))) (-.f64 x (*.f64 y z)))
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))
(*.f64 (*.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (/.f64 (-.f64 (neg.f64 z) (/.f64 x y)) (neg.f64 y))))
(*.f64 (/.f64 x (-.f64 (*.f64 y z) x)) (*.f64 x (/.f64 x (-.f64 (*.f64 y z) x))))
(/.f64 (*.f64 (/.f64 x (-.f64 (*.f64 y z) x)) (*.f64 x x)) (-.f64 (*.f64 y z) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y z) x) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 z y) x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(fma.f64 y (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (*.f64 y x)) (neg.f64 (*.f64 z z))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z)) x)
(/.f64 (fma.f64 y (*.f64 (neg.f64 x) (*.f64 y (*.f64 z z))) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (*.f64 (*.f64 x (*.f64 x (neg.f64 x))) (fma.f64 y (/.f64 z x) #s(literal -1 binary64))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (fma.f64 y (*.f64 z (neg.f64 (*.f64 x (fma.f64 y z x)))) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (*.f64 y x)) (neg.f64 (*.f64 z z))))) x)
(fma.f64 z (fma.f64 z (neg.f64 (fma.f64 y (/.f64 y x) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 y y) x) (/.f64 (*.f64 y y) x)))) y) x)
(/.f64 (fma.f64 y (neg.f64 (fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y z) x) (/.f64 (-.f64 (*.f64 y z) x) (*.f64 (-.f64 (*.f64 y z) x) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))))))
(/.f64 (-.f64 (*.f64 (neg.f64 x) (*.f64 y (*.f64 z (*.f64 z y)))) (*.f64 (-.f64 (*.f64 y z) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x)) (*.f64 x (*.f64 x (neg.f64 x)))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (fma.f64 y (neg.f64 (fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (fma.f64 y (neg.f64 (fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x)))) (*.f64 x (*.f64 x x))) (fma.f64 x x (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 y z)))))
(/.f64 (fma.f64 z (neg.f64 (fma.f64 x (*.f64 z (*.f64 y y)) (*.f64 y (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (fma.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 x x))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))))
(/.f64 (/.f64 (fma.f64 (neg.f64 y) (*.f64 x (fma.f64 y (*.f64 z z) (*.f64 z x))) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x)) (*.f64 (*.f64 z y) (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(*.f64 (fma.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z))))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 z (*.f64 y 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)))
(/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 y z) x) y) (*.f64 y (*.f64 z z)) (neg.f64 (*.f64 (-.f64 (*.f64 y z) x) (*.f64 x x)))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) (*.f64 x (fma.f64 y (*.f64 z z) (*.f64 z x))) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y z) x) (/.f64 (-.f64 (*.f64 y z) x) (fma.f64 (neg.f64 y) (*.f64 x (fma.f64 y (*.f64 z z) (*.f64 z x))) (*.f64 x (*.f64 x x))))))
(/.f64 (fma.f64 y (*.f64 (*.f64 x x) (neg.f64 (fma.f64 y (/.f64 (*.f64 z z) x) z))) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (fma.f64 y (neg.f64 (fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x)))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 y z)))))
(/.f64 (fma.f64 y (neg.f64 (fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 y z) x) #s(literal 1 binary64))))
(fma.f64 y (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 z (*.f64 z z))) (fma.f64 z (-.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y x))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (*.f64 y x))))) x)
(/.f64 (*.f64 (*.f64 z z) (neg.f64 (fma.f64 x (*.f64 y y) (/.f64 (-.f64 (*.f64 y (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) z)) z)))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x)) (*.f64 z (fma.f64 y (*.f64 x x) (/.f64 (*.f64 x (*.f64 x (neg.f64 x))) z)))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(*.f64 x (cos.f64 y))
(*.f64 z (sin.f64 y))
Outputs
(*.f64 x (cos.f64 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)
(*.f64 z (sin.f64 y))
(*.f64 x (cos.f64 y))
Calls

4 calls:

21.0ms
x
20.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
18.0ms
z
18.0ms
y
Results
AccuracySegmentsBranch
68.8%3(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
83.2%4y
76.4%3z
79.6%3x
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes39.0ms (0.3%)

Memory
12.9MiB live, 87.5MiB allocated
Counts
60 → 3
Calls
Call 1
Inputs
(neg.f64 x)
(*.f64 y z)
(fma.f64 z y x)
(*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)))
(fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) x)
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) z) x)
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y y)) z))
(*.f64 z (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
(fma.f64 x (*.f64 y (/.f64 z x)) x)
(+.f64 x (*.f64 x (/.f64 (*.f64 z y) x)))
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
(fma.f64 y (*.f64 x (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x))) x)
(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)
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y))) z))
(*.f64 z (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y))
(*.f64 (*.f64 z y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y z) (*.f64 y z)))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 z #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y)))) z))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 z #s(literal 1/120 binary64)) y) y (*.f64 z #s(literal -1/6 binary64))) z))
(/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x))
(fma.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x)) (*.f64 z #s(literal 2 binary64))) x)
(*.f64 (*.f64 x x) (/.f64 x (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x))))
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 z (*.f64 y z)))) (-.f64 x (*.f64 y z)))
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))
(*.f64 (*.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (/.f64 (-.f64 (neg.f64 z) (/.f64 x y)) (neg.f64 y))))
(*.f64 (/.f64 x (-.f64 (*.f64 y z) x)) (*.f64 x (/.f64 x (-.f64 (*.f64 y z) x))))
(/.f64 (*.f64 (/.f64 x (-.f64 (*.f64 y z) x)) (*.f64 x x)) (-.f64 (*.f64 y z) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y z) x) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 z y) x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(fma.f64 y (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (*.f64 y x)) (neg.f64 (*.f64 z z))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z)) x)
(/.f64 (fma.f64 y (*.f64 (neg.f64 x) (*.f64 y (*.f64 z z))) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (*.f64 (*.f64 x (*.f64 x (neg.f64 x))) (fma.f64 y (/.f64 z x) #s(literal -1 binary64))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (fma.f64 y (*.f64 z (neg.f64 (*.f64 x (fma.f64 y z x)))) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (*.f64 y x)) (neg.f64 (*.f64 z z))))) x)
(fma.f64 z (fma.f64 z (neg.f64 (fma.f64 y (/.f64 y x) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 y y) x) (/.f64 (*.f64 y y) x)))) y) x)
(/.f64 (fma.f64 y (neg.f64 (fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y z) x) (/.f64 (-.f64 (*.f64 y z) x) (*.f64 (-.f64 (*.f64 y z) x) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))))))
(/.f64 (-.f64 (*.f64 (neg.f64 x) (*.f64 y (*.f64 z (*.f64 z y)))) (*.f64 (-.f64 (*.f64 y z) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x)) (*.f64 x (*.f64 x (neg.f64 x)))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (fma.f64 y (neg.f64 (fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (fma.f64 y (neg.f64 (fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x)))) (*.f64 x (*.f64 x x))) (fma.f64 x x (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 y z)))))
(/.f64 (fma.f64 z (neg.f64 (fma.f64 x (*.f64 z (*.f64 y y)) (*.f64 y (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (fma.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 x x))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))))
(/.f64 (/.f64 (fma.f64 (neg.f64 y) (*.f64 x (fma.f64 y (*.f64 z z) (*.f64 z x))) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x)) (*.f64 (*.f64 z y) (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(*.f64 (fma.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z))))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 z (*.f64 y 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)))
(/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 y z) x) y) (*.f64 y (*.f64 z z)) (neg.f64 (*.f64 (-.f64 (*.f64 y z) x) (*.f64 x x)))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) (*.f64 x (fma.f64 y (*.f64 z z) (*.f64 z x))) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y z) x) (/.f64 (-.f64 (*.f64 y z) x) (fma.f64 (neg.f64 y) (*.f64 x (fma.f64 y (*.f64 z z) (*.f64 z x))) (*.f64 x (*.f64 x x))))))
(/.f64 (fma.f64 y (*.f64 (*.f64 x x) (neg.f64 (fma.f64 y (/.f64 (*.f64 z z) x) z))) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (fma.f64 y (neg.f64 (fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x)))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 y z)))))
(/.f64 (fma.f64 y (neg.f64 (fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 y z) x) #s(literal 1 binary64))))
(fma.f64 y (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 z (*.f64 z z))) (fma.f64 z (-.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y x))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (*.f64 y x))))) x)
(/.f64 (*.f64 (*.f64 z z) (neg.f64 (fma.f64 x (*.f64 y y) (/.f64 (-.f64 (*.f64 y (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) z)) z)))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x)) (*.f64 z (fma.f64 y (*.f64 x x) (/.f64 (*.f64 x (*.f64 x (neg.f64 x))) z)))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(*.f64 x (cos.f64 y))
Outputs
(*.f64 x (cos.f64 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)
(*.f64 x (cos.f64 y))
Calls

2 calls:

18.0ms
x
18.0ms
y
Results
AccuracySegmentsBranch
73.5%3x
78.1%3y
Compiler

Compiled 8 to 6 computations (25% saved)

regimes84.0ms (0.6%)

Memory
-7.8MiB live, 191.8MiB allocated
Counts
59 → 1
Calls
Call 1
Inputs
(neg.f64 x)
(*.f64 y z)
(fma.f64 z y x)
(*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)))
(fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) x)
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) z) x)
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y y)) z))
(*.f64 z (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
(fma.f64 x (*.f64 y (/.f64 z x)) x)
(+.f64 x (*.f64 x (/.f64 (*.f64 z y) x)))
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
(fma.f64 y (*.f64 x (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x))) x)
(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)
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y))) z))
(*.f64 z (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y))
(*.f64 (*.f64 z y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y z) (*.f64 y z)))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 z #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 z (*.f64 y y)))) z))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 z #s(literal 1/120 binary64)) y) y (*.f64 z #s(literal -1/6 binary64))) z))
(/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x))
(fma.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x)) (*.f64 z #s(literal 2 binary64))) x)
(*.f64 (*.f64 x x) (/.f64 x (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x))))
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 z (*.f64 y z)))) (-.f64 x (*.f64 y z)))
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))
(*.f64 (*.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (/.f64 (-.f64 (neg.f64 z) (/.f64 x y)) (neg.f64 y))))
(*.f64 (/.f64 x (-.f64 (*.f64 y z) x)) (*.f64 x (/.f64 x (-.f64 (*.f64 y z) x))))
(/.f64 (*.f64 (/.f64 x (-.f64 (*.f64 y z) x)) (*.f64 x x)) (-.f64 (*.f64 y z) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y z) x) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 z y) x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(fma.f64 y (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (*.f64 y x)) (neg.f64 (*.f64 z z))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z)) x)
(/.f64 (fma.f64 y (*.f64 (neg.f64 x) (*.f64 y (*.f64 z z))) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (*.f64 (*.f64 x (*.f64 x (neg.f64 x))) (fma.f64 y (/.f64 z x) #s(literal -1 binary64))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (fma.f64 y (*.f64 z (neg.f64 (*.f64 x (fma.f64 y z x)))) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (*.f64 y x)) (neg.f64 (*.f64 z z))))) x)
(fma.f64 z (fma.f64 z (neg.f64 (fma.f64 y (/.f64 y x) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 y y) x) (/.f64 (*.f64 y y) x)))) y) x)
(/.f64 (fma.f64 y (neg.f64 (fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y z) x) (/.f64 (-.f64 (*.f64 y z) x) (*.f64 (-.f64 (*.f64 y z) x) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))))))
(/.f64 (-.f64 (*.f64 (neg.f64 x) (*.f64 y (*.f64 z (*.f64 z y)))) (*.f64 (-.f64 (*.f64 y z) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x)) (*.f64 x (*.f64 x (neg.f64 x)))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (fma.f64 y (neg.f64 (fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (fma.f64 y (neg.f64 (fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x)))) (*.f64 x (*.f64 x x))) (fma.f64 x x (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 y z)))))
(/.f64 (fma.f64 z (neg.f64 (fma.f64 x (*.f64 z (*.f64 y y)) (*.f64 y (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (fma.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 x x))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))))
(/.f64 (/.f64 (fma.f64 (neg.f64 y) (*.f64 x (fma.f64 y (*.f64 z z) (*.f64 z x))) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x)) (*.f64 (*.f64 z y) (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(*.f64 (fma.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z))))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 z (*.f64 y 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)))
(/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 y z) x) y) (*.f64 y (*.f64 z z)) (neg.f64 (*.f64 (-.f64 (*.f64 y z) x) (*.f64 x x)))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) (*.f64 x (fma.f64 y (*.f64 z z) (*.f64 z x))) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y z) x) (/.f64 (-.f64 (*.f64 y z) x) (fma.f64 (neg.f64 y) (*.f64 x (fma.f64 y (*.f64 z z) (*.f64 z x))) (*.f64 x (*.f64 x x))))))
(/.f64 (fma.f64 y (*.f64 (*.f64 x x) (neg.f64 (fma.f64 y (/.f64 (*.f64 z z) x) z))) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (fma.f64 y (neg.f64 (fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x)))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 y z)))))
(/.f64 (fma.f64 y (neg.f64 (fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 z (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 y z) x) #s(literal 1 binary64))))
(fma.f64 y (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 z (*.f64 z z))) (fma.f64 z (-.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y x))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (*.f64 y x))))) x)
(/.f64 (*.f64 (*.f64 z z) (neg.f64 (fma.f64 x (*.f64 y y) (/.f64 (-.f64 (*.f64 y (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) z)) z)))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x)) (*.f64 z (fma.f64 y (*.f64 x x) (/.f64 (*.f64 x (*.f64 x (neg.f64 x))) z)))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))
Outputs
(fma.f64 z y x)
Calls

4 calls:

23.0ms
z
22.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
18.0ms
y
18.0ms
x
Results
AccuracySegmentsBranch
59.0%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
59.0%1x
59.0%1z
59.0%1y
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes12.0ms (0.1%)

Memory
-19.0MiB live, 24.4MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
(neg.f64 x)
(*.f64 y z)
Outputs
(*.f64 y z)
Calls

4 calls:

6.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
2.0ms
x
2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
16.4%1y
16.4%1x
16.4%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
16.4%1z
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0%)

Memory
18.0MiB live, 18.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(neg.f64 x)
Outputs
(neg.f64 x)
Calls

4 calls:

1.0ms
x
1.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
1.0ms
z
1.0ms
y
Results
AccuracySegmentsBranch
4.5%1z
4.5%1x
4.5%1y
4.5%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch25.0ms (0.2%)

Memory
-17.9MiB live, 60.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
8.0ms
7.632433022783186e+151
1.51166398962244e+152
15.0ms
-0.006586476591480496
-0.00015642967211779144
Samples
16.0ms176×0valid
Compiler

Compiled 235 to 179 computations (23.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-sin: 5.0ms (44.5% of total)
ival-cos: 4.0ms (35.6% of total)
ival-mult: 2.0ms (17.8% of total)
ival-add: 1.0ms (8.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
5.0MiB live, 5.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
0.0ms
7.632433022783186e+151
1.51166398962244e+152
1.0ms
-0.006586476591480496
-0.00015642967211779144
Compiler

Compiled 224 to 168 computations (25% saved)

bsearch49.0ms (0.4%)

Memory
8.2MiB live, 127.4MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
23.0ms
3.054719061806511e+224
8.057749189872819e+230
19.0ms
1.277491818918458e-16
279458.2706739134
3.0ms
-0.001914680654514339
-0.0017810754904260223
Samples
32.0ms352×0valid
Compiler

Compiled 497 to 343 computations (31% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-cos: 8.0ms (35.4% of total)
ival-sin: 7.0ms (30.9% of total)
ival-mult: 4.0ms (17.7% of total)
ival-add: 2.0ms (8.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch18.0ms (0.1%)

Memory
0.1MiB live, 38.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
3.2610610466093764e-21
1.277491818918458e-16
0.0ms
-0.001914680654514339
-0.0017810754904260223
Samples
11.0ms128×0valid
Compiler

Compiled 275 to 184 computations (33.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-add: 3.0ms (39.4% of total)
ival-mult: 2.0ms (26.3% of total)
ival-sin: 2.0ms (26.3% of total)
ival-cos: 1.0ms (13.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Memory
-18.2MiB live, 20.7MiB allocated
Algorithm
1×egg-herbie
Rules
14×*-commutative_binary64
6×+-commutative_binary64
6×neg-mul-1_binary64
4×sub-neg_binary64
4×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043128
156128
265128
368128
471128
574128
676128
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(if (<=.f64 x #s(literal -7493989779944505/1152921504606846976 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 77999999999999995234402242119884210592746225598344461269724732099088537485181033159274468441774594885231032488825683400932881293636454807056495805464576 binary64)) (+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y))))
(if (<=.f64 x #s(literal -7493989779944505/1152921504606846976 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 77999999999999995234402242119884210592746225598344461269724732099088537485181033159274468441774594885231032488825683400932881293636454807056495805464576 binary64)) (fma.f64 (sin.f64 y) z (*.f64 x #s(literal 1 binary64))) (*.f64 x (cos.f64 y))))
(if (<=.f64 y #s(literal -8762203435012037/4611686018427387904 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 1062849512059437/18014398509481984 binary64)) (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) (if (<=.f64 y #s(literal 81999999999999997092072767409155311463028807340684301200050532617729492030653249396959997197290731057880291428877771978186787720681447280156164520060038304415828108770327045975696418482747631465543601821097276211643122513346560 binary64)) (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))
(if (<=.f64 y #s(literal -8762203435012037/4611686018427387904 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 2535301200456459/20282409603651670423947251286016 binary64)) (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) (*.f64 x (cos.f64 y))))
(fma.f64 z y x)
(*.f64 y z)
(neg.f64 x)
Outputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(if (<=.f64 x #s(literal -7493989779944505/1152921504606846976 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 77999999999999995234402242119884210592746225598344461269724732099088537485181033159274468441774594885231032488825683400932881293636454807056495805464576 binary64)) (+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y))))
(if (<=.f64 x #s(literal -7493989779944505/1152921504606846976 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 77999999999999995234402242119884210592746225598344461269724732099088537485181033159274468441774594885231032488825683400932881293636454807056495805464576 binary64)) (+.f64 x (*.f64 (sin.f64 y) z)) (*.f64 x (cos.f64 y))))
(if (<=.f64 x #s(literal -7493989779944505/1152921504606846976 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 77999999999999995234402242119884210592746225598344461269724732099088537485181033159274468441774594885231032488825683400932881293636454807056495805464576 binary64)) (fma.f64 (sin.f64 y) z (*.f64 x #s(literal 1 binary64))) (*.f64 x (cos.f64 y))))
(if (<=.f64 x #s(literal -7493989779944505/1152921504606846976 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 77999999999999995234402242119884210592746225598344461269724732099088537485181033159274468441774594885231032488825683400932881293636454807056495805464576 binary64)) (fma.f64 (sin.f64 y) z x) (*.f64 x (cos.f64 y))))
(if (<=.f64 y #s(literal -8762203435012037/4611686018427387904 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 1062849512059437/18014398509481984 binary64)) (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) (if (<=.f64 y #s(literal 81999999999999997092072767409155311463028807340684301200050532617729492030653249396959997197290731057880291428877771978186787720681447280156164520060038304415828108770327045975696418482747631465543601821097276211643122513346560 binary64)) (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))
(if (<=.f64 y #s(literal -8762203435012037/4611686018427387904 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 1062849512059437/18014398509481984 binary64)) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal -1/6 binary64))) z) x) (if (<=.f64 y #s(literal 81999999999999997092072767409155311463028807340684301200050532617729492030653249396959997197290731057880291428877771978186787720681447280156164520060038304415828108770327045975696418482747631465543601821097276211643122513346560 binary64)) (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))))
(if (<=.f64 y #s(literal -8762203435012037/4611686018427387904 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 2535301200456459/20282409603651670423947251286016 binary64)) (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) (*.f64 x (cos.f64 y))))
(if (<=.f64 y #s(literal -8762203435012037/4611686018427387904 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 2535301200456459/20282409603651670423947251286016 binary64)) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal -1/6 binary64))) z) x) (*.f64 x (cos.f64 y))))
(fma.f64 z y x)
(*.f64 y z)
(neg.f64 x)

soundness1.4s (10.1%)

Memory
7.5MiB live, 1 142.6MiB allocated
Rules
11 652×lower-fma.f64
11 652×lower-fma.f32
11 480×lower-fma.f64
11 480×lower-fma.f32
9 090×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09098459
131408083
082387611
0109682
1343678
2987666
32638660
44676660
57002660
08182604
09979876
135289628
086109255
010208623
134737787
081977312
032221
060160
1268124
22281124
08785122
0821
01321
12921
218521
3183621
0838620
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 281 to 140 computations (50.2% saved)

preprocess80.0ms (0.6%)

Memory
-2.7MiB live, 192.2MiB allocated
Compiler

Compiled 286 to 96 computations (66.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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