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

Time bar (total: 11.4s)

analyze0.0ms (0%)

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

Compiled 11 to 10 computations (9.1% saved)

sample1.3s (11.5%)

Memory
27.0MiB live, 1 612.8MiB allocated
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 577.0ms
ival-sin: 203.0ms (35.2% of total)
ival-cos: 188.0ms (32.6% of total)
ival-mult: 132.0ms (22.9% of total)
ival-sub: 45.0ms (7.8% of total)
ival-true: 5.0ms (0.9% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

preprocess62.0ms (0.5%)

Memory
-17.6MiB live, 102.4MiB allocated
Algorithm
2×egg-herbie
Rules
208×accelerator-lowering-fma.f32
208×accelerator-lowering-fma.f64
174×distribute-lft-neg-in
168×associate-*r*
162×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03696
19393
217493
338593
469193
592093
6110293
7115393
8116193
9116593
089
1159
2279
3399
4609
5909
61489
72169
82769
93059
103219
03219
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(- (* x (cos y)) (* z (sin y)))
Outputs
(- (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
Call 2
Inputs
(- (* x (cos y)) (* z (sin y)))
(- (* (neg x) (cos y)) (* z (sin y)))
(- (* x (cos (neg y))) (* z (sin (neg y))))
(- (* x (cos y)) (* (neg z) (sin y)))
(neg (- (* (neg x) (cos y)) (* z (sin y))))
(neg (- (* x (cos (neg y))) (* z (sin (neg y)))))
(neg (- (* x (cos y)) (* (neg z) (sin y))))
(- (* y (cos x)) (* z (sin x)))
(- (* z (cos y)) (* x (sin y)))
(- (* x (cos z)) (* y (sin z)))
Outputs
(- (* x (cos y)) (* z (sin y)))
(- (* (neg x) (cos y)) (* z (sin y)))
(- (* x (neg (cos y))) (* z (sin y)))
(- (* x (cos (neg y))) (* z (sin (neg y))))
(+ (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* (neg z) (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(neg (- (* (neg x) (cos y)) (* z (sin y))))
(+ (* x (cos y)) (* z (sin y)))
(neg (- (* x (cos (neg y))) (* z (sin (neg y)))))
(- (* x (neg (cos y))) (* z (sin y)))
(neg (- (* x (cos y)) (* (neg z) (sin y))))
(- (* x (neg (cos y))) (* z (sin y)))
(- (* y (cos x)) (* z (sin x)))
(- (* z (cos y)) (* x (sin y)))
(- (* (cos y) z) (* x (sin y)))
(- (* x (cos z)) (* y (sin z)))

explain107.0ms (0.9%)

Memory
-16.4MiB live, 262.4MiB 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
50.0ms512×0valid
Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-sin: 12.0ms (38.1% of total)
ival-cos: 10.0ms (31.7% of total)
ival-mult: 7.0ms (22.2% of total)
ival-sub: 2.0ms (6.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify14.0ms (0.1%)

Memory
34.2MiB live, 34.2MiB 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-diff0
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Rules
208×accelerator-lowering-fma.f32
208×accelerator-lowering-fma.f64
144×*-lowering-*.f32
144×*-lowering-*.f64
64×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
11524
22724
33924
46024
59024
614824
721624
827624
930524
1032124
032124
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
x
(cos y)
y
(* z (sin y))
z
(sin y)
Outputs
(- (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
x
(cos y)
(cos.f64 y)
y
(* z (sin y))
(*.f64 z (sin.f64 y))
z
(sin y)
(sin.f64 y)

localize213.0ms (1.9%)

Memory
-22.3MiB live, 53.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sin.f64 y)
✓accuracy100.0%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
✓accuracy99.9%
(*.f64 x (cos.f64 y))
✓accuracy99.8%
(*.f64 z (sin.f64 y))
Samples
204.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-cos: 5.0ms (33.5% of total)
ival-sin: 5.0ms (33.5% of total)
ival-mult: 3.0ms (20.1% of total)
ival-sub: 1.0ms (6.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
11.6MiB live, 11.6MiB allocated
Counts
5 → 108
Calls
Call 1
Inputs
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (cos y)>
#<alt (* z (sin y))>
#<alt (sin y)>
Outputs
#<alt (* -1 (* 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) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (- (* -1/2 (* x y)) z)))>
#<alt (+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) 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 (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt x>
#<alt (+ x (* -1/2 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (* z (sin y))>
#<alt (* 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
z
@0
(- (* x (cos y)) (* z (sin y)))
1.0ms
x
@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)))
0.0ms
y
@0
(- (* x (cos y)) (* z (sin y)))

rewrite477.0ms (4.2%)

Memory
-39.8MiB live, 701.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
10 986×accelerator-lowering-fma.f32
10 986×accelerator-lowering-fma.f64
4 356×*-lowering-*.f32
4 356×*-lowering-*.f64
3 866×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
12821
220521
3198121
0836621
Stop Event
1×iter limit
1×node limit
Counts
5 → 232
Calls
Call 1
Inputs
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(cos y)
(* z (sin y))
(sin y)
Outputs
(+.f64 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 (neg.f64 (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(+.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (neg.f64 (/.f64 (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 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (fma.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) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) #s(literal -1 binary64)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (/.f64 (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 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (fma.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) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(-.f64 (fma.f64 x (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y)))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 9 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))))) (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 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 9 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))))) (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 (/.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 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 (/.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 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 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y 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 x (cos.f64 y)) (neg.f64 (*.f64 z (sin.f64 y))))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y 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 x (cos.f64 y)) (neg.f64 (*.f64 z (sin.f64 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 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 #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))) (fma.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))) (fma.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 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.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 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)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))))
(*.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.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))))
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(*.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)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.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)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(*.f64 (pow.f64 (/.f64 (fma.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 (fma.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))))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.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 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 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)))))
(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 x)) (exp.f64 (log.f64 (cos.f64 y))))
(*.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 x)))
(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)))
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.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)

simplify399.0ms (3.5%)

Memory
22.4MiB live, 566.6MiB allocated
Algorithm
1×egg-herbie
Rules
12 936×accelerator-lowering-fma.f32
12 936×accelerator-lowering-fma.f64
4 366×*-lowering-*.f32
4 366×*-lowering-*.f64
2 310×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112686
1339681
2933669
32680663
44621663
57358663
08230636
Stop Event
1×iter limit
1×node limit
Counts
108 → 108
Calls
Call 1
Inputs
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) 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))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(* z (sin y))
(* 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
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ x (* y (- (* -1/2 (* x y)) z)))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x)
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
x
(+ x (* -1/2 (* x (pow y 2))))
(fma.f64 x (*.f64 y (*.f64 y #s(literal -1/2 binary64))) 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 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(*.f64 z (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(*.f64 y (fma.f64 (*.f64 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 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)

eval46.0ms (0.4%)

Memory
-14.0MiB live, 73.8MiB allocated
Compiler

Compiled 15 578 to 733 computations (95.3% saved)

prune50.0ms (0.4%)

Memory
20.8MiB live, 139.7MiB allocated
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New32614340
Fresh000
Picked011
Done000
Total32615341
Accuracy
99.9%
Counts
341 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.1%
(fma.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (fma.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) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
▶53.2%
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
53.3%
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x)
36.8%
(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
8.3%
(/.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 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)))))
21.2%
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 (fma.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)))))))))
▶99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
✓99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
55.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.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)))
▶75.7%
(-.f64 x (*.f64 z (sin.f64 y)))
54.4%
(-.f64 x (*.f64 z y))
▶36.8%
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
61.4%
(*.f64 x (cos.f64 y))
40.8%
(neg.f64 (*.f64 z (sin.f64 y)))
▶37.7%
x
Compiler

Compiled 734 to 376 computations (48.8% saved)

simplify450.0ms (3.9%)

Memory
16.8MiB live, 679.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓cost-diff128
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓cost-diff320
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
✓cost-diff6720
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.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
(-.f64 x (*.f64 z (sin.f64 y)))
✓cost-diff0
(*.f64 y #s(literal 1/6 binary64))
✓cost-diff0
(fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64)))
✓cost-diff0
(fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z))
✓cost-diff0
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
✓cost-diff0
(*.f64 x (cos.f64 y))
✓cost-diff0
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
✓cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
Rules
16 358×accelerator-lowering-fma.f32
16 358×accelerator-lowering-fma.f64
4 640×*-lowering-*.f32
4 640×*-lowering-*.f64
1 852×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038261
1106257
2293257
3809257
42478253
55375251
08260237
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (/ 1 (- (* x (cos y)) (* z (sin y)))))
1
(/ 1 (- (* x (cos y)) (* z (sin y))))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
x
(cos y)
y
(* z (sin y))
z
(sin y)
x
(+ (* y (+ (* y (+ (* z (* y 1/6)) (* x -1/2))) (neg z))) x)
y
(+ (* y (+ (* z (* y 1/6)) (* x -1/2))) (neg z))
(+ (* z (* y 1/6)) (* x -1/2))
z
(* y 1/6)
1/6
(* x -1/2)
x
-1/2
(neg z)
(- x (* z (sin y)))
x
(* z (sin y))
z
(sin y)
y
(* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* x (cos y)) (* z (sin y)))))
(+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))))
(- 1/2 (* 1/2 (cos (+ y y))))
1/2
(* 1/2 (cos (+ y y)))
(cos (+ y y))
(+ y y)
y
(neg (* z z))
(* z z)
z
(* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))
(* x x)
x
(+ 1/2 (* 1/2 (cos (+ y y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
1
(+ (* x (cos y)) (* z (sin y)))
(cos y)
(* z (sin y))
(sin y)
Outputs
(/ 1 (/ 1 (- (* x (cos y)) (* z (sin y)))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
1
#s(literal 1 binary64)
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
x
(cos y)
(cos.f64 y)
y
(* z (sin y))
(*.f64 z (sin.f64 y))
z
(sin y)
(sin.f64 y)
x
(+ (* y (+ (* y (+ (* z (* y 1/6)) (* x -1/2))) (neg z))) x)
(fma.f64 y (-.f64 (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z) x)
y
(+ (* y (+ (* z (* y 1/6)) (* x -1/2))) (neg z))
(-.f64 (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z)
(+ (* z (* y 1/6)) (* x -1/2))
(fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))
z
(* y 1/6)
(*.f64 y #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(* x -1/2)
(*.f64 x #s(literal -1/2 binary64))
x
-1/2
#s(literal -1/2 binary64)
(neg z)
(neg.f64 z)
(- x (* z (sin y)))
(-.f64 x (*.f64 z (sin.f64 y)))
x
(* z (sin y))
(*.f64 z (sin.f64 y))
z
(sin y)
(sin.f64 y)
y
(* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* x (cos y)) (* z (sin y)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) (fma.f64 x x (*.f64 z z)) (*.f64 (+.f64 x z) (-.f64 x z)))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) (fma.f64 x x (*.f64 z z)) (*.f64 (+.f64 x z) (-.f64 x z))))
(- 1/2 (* 1/2 (cos (+ y y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* 1/2 (cos (+ y y)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))
(cos (+ y y))
(cos.f64 (+.f64 y y))
(+ y y)
(+.f64 y y)
y
(neg (* z z))
(neg.f64 (*.f64 z z))
(* z z)
(*.f64 z z)
z
(* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
(* x x)
(*.f64 x x)
x
(+ 1/2 (* 1/2 (cos (+ y y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
1
#s(literal 1 binary64)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(cos y)
(cos.f64 y)
(* z (sin y))
(*.f64 z (sin.f64 y))
(sin y)
(sin.f64 y)

localize232.0ms (2%)

Memory
-17.4MiB live, 509.9MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy99.4%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓accuracy83.1%
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
✓accuracy77.7%
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓accuracy52.0%
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
✓accuracy100.0%
(sin.f64 y)
✓accuracy100.0%
(-.f64 x (*.f64 z (sin.f64 y)))
✓accuracy99.8%
(*.f64 z (sin.f64 y))
✓accuracy100.0%
(fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z))
✓accuracy100.0%
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
✓accuracy99.9%
(fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64)))
✓accuracy99.5%
(*.f64 y #s(literal 1/6 binary64))
✓accuracy99.9%
(*.f64 x (cos.f64 y))
✓accuracy99.8%
(*.f64 z (sin.f64 y))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
Samples
74.0ms83×1valid
50.0ms125×0valid
37.0ms44×2valid
5.0ms4×3valid
Compiler

Compiled 258 to 40 computations (84.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 117.0ms
ival-cos: 35.0ms (30% of total)
ival-mult: 26.0ms (22.3% of total)
adjust: 11.0ms (9.4% of total)
ival-add: 11.0ms (9.4% of total)
ival-sin: 11.0ms (9.4% of total)
ival-div: 10.0ms (8.6% of total)
ival-sub: 5.0ms (4.3% of total)
const: 4.0ms (3.4% of total)
ival-neg: 2.0ms (1.7% of total)
exact: 1.0ms (0.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series48.0ms (0.4%)

Memory
28.3MiB live, 103.8MiB allocated
Counts
15 → 420
Calls
Call 1
Inputs
#<alt (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y)))))>
#<alt (/ 1 (- (* x (cos y)) (* z (sin y))))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (+ (* y (+ (* y (+ (* z (* y 1/6)) (* x -1/2))) (neg z))) x)>
#<alt (+ (* y (+ (* z (* y 1/6)) (* x -1/2))) (neg z))>
#<alt (+ (* z (* y 1/6)) (* x -1/2))>
#<alt (* y 1/6)>
#<alt (- x (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (sin y)>
#<alt (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))))>
#<alt (* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* x (cos y)) (* z (sin y)))))>
#<alt (- 1/2 (* 1/2 (cos (+ y y))))>
#<alt (+ 1/2 (* 1/2 (cos (+ y y))))>
Outputs
#<alt (* -1 (* 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) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (- (* -1/2 (* x y)) z)))>
#<alt (+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) 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 (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (/ -1 (* z (sin y)))>
#<alt (- (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y))))>
#<alt (- (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))>
#<alt (- (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))>
#<alt (/ 1 (* x (cos y)))>
#<alt (/ (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x)>
#<alt (/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)>
#<alt (/ (- (+ (/ 1 (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x)>
#<alt (/ 1 (* x (cos y)))>
#<alt (* -1 (/ (- (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))>
#<alt (/ 1 x)>
#<alt (+ (/ 1 x) (/ (* y z) (pow x 2)))>
#<alt (+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))>
#<alt (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x)) (+ (* -1/2 (/ z (pow x 2))) (* 1/6 (/ z (pow x 2))))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))>
#<alt (/ 1 (- (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (- (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (- (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (- (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (- (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (- (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (- (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (- (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (* x (cos y)))>
#<alt (+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2))))>
#<alt (+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))>
#<alt (+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))>
#<alt (/ -1 (* z (sin y)))>
#<alt (/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)>
#<alt (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)>
#<alt (/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (+ (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z)>
#<alt (/ -1 (* z (sin y)))>
#<alt (* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))>
#<alt (* -1 (* 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) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (- (* -1/2 (* x y)) z)))>
#<alt (+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) 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 (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (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 x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* (pow y 3) (+ (* -1/2 (/ x y)) (* 1/6 z)))>
#<alt (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (+ (* -1/2 (/ x y)) (* 1/6 z))))>
#<alt (* (pow y 3) (- (+ (* -1/2 (/ x y)) (+ (* 1/6 z) (/ x (pow y 3)))) (/ z (pow y 2))))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* -1 (* (pow y 3) (+ (* -1/6 z) (* 1/2 (/ x y)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ z y)) (* -1/2 x)) y)) (* -1/6 z))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ z (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* -1/6 z))))>
#<alt (+ x (* -1/2 (* x (pow y 2))))>
#<alt (+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (- (* 1/6 (pow y 2)) 1)))))>
#<alt (+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (- (* 1/6 (pow y 2)) 1)))))>
#<alt (+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (- (* 1/6 (pow y 2)) 1)))))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z))))>
#<alt (* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z))))>
#<alt (* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z))))>
#<alt (* -1 (* y (* z (+ 1 (* -1/6 (pow y 2))))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))>
#<alt (* y (- (* 1/6 (* (pow y 2) z)) z))>
#<alt (+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (- (* 1/6 (* (pow y 2) z)) z)))>
#<alt (+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (- (* 1/6 (* (pow y 2) z)) z)))>
#<alt (+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (- (* 1/6 (* (pow y 2) z)) z)))>
#<alt (* x (+ 1 (* -1/2 (pow y 2))))>
#<alt (* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x))))>
#<alt (* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x))))>
#<alt (* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x))))>
#<alt (* -1 (* x (- (* 1/2 (pow y 2)) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 z)>
#<alt (- (* -1/2 (* x y)) z)>
#<alt (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)>
#<alt (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)>
#<alt (* 1/6 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 (/ x y)) (* 1/6 z)))>
#<alt (* (pow y 2) (+ (* -1 (/ z (pow y 2))) (+ (* -1/2 (/ x y)) (* 1/6 z))))>
#<alt (* (pow y 2) (+ (* -1 (/ z (pow y 2))) (+ (* -1/2 (/ x y)) (* 1/6 z))))>
#<alt (* 1/6 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 (/ x y)) (* 1/6 z)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* 1/2 x) (/ z y)) y)) (* 1/6 z)))>
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#<alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* z (* (sin y) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* x (cos y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x)))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* -1/3 (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt 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)))))>
Calls

105 calls:

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

rewrite821.0ms (7.2%)

Memory
-158.1MiB live, 1 104.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 398×accelerator-lowering-fma.f32
6 398×accelerator-lowering-fma.f64
5 444×*-lowering-*.f32
5 444×*-lowering-*.f64
4 554×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038138
1229117
22056117
09334113
Stop Event
1×iter limit
1×node limit
Counts
15 → 974
Calls
Call 1
Inputs
(/ 1 (/ 1 (- (* x (cos y)) (* z (sin y)))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* y (+ (* y (+ (* z (* y 1/6)) (* x -1/2))) (neg z))) x)
(+ (* y (+ (* z (* y 1/6)) (* x -1/2))) (neg z))
(+ (* z (* y 1/6)) (* x -1/2))
(* y 1/6)
(- x (* z (sin y)))
(* z (sin y))
(sin y)
(+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))))
(* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* x (cos y)) (* z (sin y)))))
(- 1/2 (* 1/2 (cos (+ y y))))
(+ 1/2 (* 1/2 (cos (+ y y))))
Outputs
(+.f64 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 (neg.f64 (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 z (sin.f64 y)))))
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z))) (/.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 y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(+.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(+.f64 (*.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 1 binary64)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(-.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 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(-.f64 (/.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64)) (/.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) #s(literal 1 binary64)))
(-.f64 (/.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 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)) (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)) (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))))
(-.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)) (*.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)) (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (*.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)) (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 z (sin.f64 y))))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (-.f64 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 z (sin.f64 y))))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 z (sin.f64 y)))))
(fma.f64 x (cos.f64 y) (neg.f64 (*.f64 z (sin.f64 y))))
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
(fma.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z))) (/.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 y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)))))
(fma.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 x (cos.f64 y)))
(neg.f64 (neg.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (fma.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 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (-.f64 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 z (sin.f64 y)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (fma.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 (neg.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal -1 binary64))
(/.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64))) (*.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.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 x (*.f64 x (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 y)) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 z (sin.f64 y)))))))
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(*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)))))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (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 #s(literal 1/2 binary64) (*.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))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))))))
(/.f64 (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 (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 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (cos.f64 (+.f64 y y))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (cos.f64 (+.f64 y y)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (cos.f64 (+.f64 y y)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)))))))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)))))) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)))))))) (pow.f64 (sin.f64 y) #s(literal 4 binary64)))
(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 y y)) #s(literal 1 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)))))) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64))))
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)))))))) #s(literal -1 binary64))
(*.f64 (cos.f64 y) (cos.f64 y))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(*.f64 (+.f64 (cos.f64 (+.f64 y y)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))

simplify545.0ms (4.8%)

Memory
4.5MiB live, 550.5MiB allocated
Algorithm
1×egg-herbie
Rules
8 628×accelerator-lowering-fma.f32
8 628×accelerator-lowering-fma.f64
7 716×*-lowering-*.f32
7 716×*-lowering-*.f64
3 196×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07206663
124516445
084116126
Stop Event
1×iter limit
1×node limit
Counts
420 → 420
Calls
Call 1
Inputs
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) 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))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(/ -1 (* z (sin y)))
(- (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y))))
(- (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(- (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(/ 1 (* x (cos y)))
(/ (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x)
(/ 1 (* x (cos y)))
(* -1 (/ (- (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(/ 1 x)
(+ (/ 1 x) (/ (* y z) (pow x 2)))
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x)) (+ (* -1/2 (/ z (pow x 2))) (* 1/6 (/ z (pow x 2))))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (* x (cos y)))
(+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2))))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(/ -1 (* z (sin y)))
(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
(/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (+ (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z)
(/ -1 (* z (sin y)))
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) 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))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(* 1/6 (* (pow y 3) z))
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(* x (- (+ (* -1 (/ (* z (* (sin y) (- (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3)))))) (* (pow x 3) (cos y)))) (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))) (+ (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* 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 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x)))))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* z (* (sin y) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* x (cos y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x)))))
(pow y 2)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
Outputs
(* -1 (* z (sin y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y))) (neg.f64 x))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ x (* y (- (* -1/2 (* x y)) z)))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x)
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(* z (- (/ (* x (cos y)) z) (sin y)))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* -1 (* z (sin y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(*.f64 (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) z) (sin.f64 y)) (neg.f64 z))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(*.f64 (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) z) (sin.f64 y)) (neg.f64 z))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(*.f64 (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) z) (sin.f64 y)) (neg.f64 z))
(/ -1 (* z (sin y)))
(/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(- (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y))))
(fma.f64 x (/.f64 (cos.f64 y) (*.f64 (*.f64 z (neg.f64 z)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
(- (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(fma.f64 x (neg.f64 (fma.f64 x (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (/.f64 (cos.f64 y) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
(- (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(fma.f64 x (fma.f64 x (neg.f64 (fma.f64 x (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64))))))) (/.f64 (cos.f64 y) (*.f64 (*.f64 z (neg.f64 z)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(/ (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x)
(/.f64 (fma.f64 z (/.f64 (sin.f64 y) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)
(/.f64 (fma.f64 (*.f64 z z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x (*.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (fma.f64 z (/.f64 (sin.f64 y) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 y)))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x)
(/.f64 (-.f64 (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (neg.f64 (fma.f64 z (*.f64 z (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x (*.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))) (/.f64 (*.f64 z (sin.f64 y)) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))) x)
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(* -1 (/ (- (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x))
(/.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 z z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 (*.f64 z (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (neg.f64 x)) (/.f64 (*.f64 z (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (/ 1 x) (/ (* y z) (pow x 2)))
(fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 z z) (*.f64 x (*.f64 x x)))) (/.f64 z (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x)) (+ (* -1/2 (/ z (pow x 2))) (* 1/6 (/ z (pow x 2))))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(fma.f64 y (fma.f64 y (+.f64 (fma.f64 (fma.f64 (/.f64 z (*.f64 x x)) #s(literal -1/3 binary64) (/.f64 (*.f64 (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 z z) (*.f64 x (*.f64 x x))))) x)) (neg.f64 y) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 z z) (*.f64 x (*.f64 x x)))) (/.f64 z (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2))))
(fma.f64 z (/.f64 (sin.f64 y) (*.f64 x (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(fma.f64 z (fma.f64 z (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x)))) (/.f64 (sin.f64 y) (*.f64 x (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(fma.f64 z (fma.f64 z (fma.f64 z (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))))) (/.f64 (sin.f64 y) (*.f64 x (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(/ -1 (* z (sin y)))
(/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/.f64 (fma.f64 x (/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z))
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
(/.f64 (neg.f64 (fma.f64 x (/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z (*.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 y))))) z)
(/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (+ (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z)
(/.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 z z) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))))) (fma.f64 x (/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z (*.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 y)))))) z)
(/ -1 (* z (sin y)))
(/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))
(/.f64 (fma.f64 x (/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (neg.f64 (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (*.f64 x (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z)) (neg.f64 z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) z)) (/.f64 (*.f64 x (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) z)) (neg.f64 z))
(* -1 (* z (sin y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
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(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))
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 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/3 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -2/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 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))

eval304.0ms (2.7%)

Memory
-4.4MiB live, 270.5MiB allocated
Compiler

Compiled 62 815 to 3 170 computations (95% saved)

prune318.0ms (2.8%)

Memory
29.3MiB live, 345.4MiB allocated
Pruning

33 alts after pruning (30 fresh and 3 done)

PrunedKeptTotal
New1 443291 472
Fresh819
Picked325
Done011
Total1 454331 487
Accuracy
100.0%
Counts
1 487 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶53.1%
(fma.f64 (*.f64 z y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) x)
36.5%
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y y) x)
53.2%
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
38.9%
(fma.f64 y (fma.f64 y (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 1/6 binary64) z) (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 z)) x)
46.5%
(fma.f64 y (fma.f64 y (*.f64 z (fma.f64 y #s(literal 1/6 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) z))) (neg.f64 z)) x)
36.2%
(fma.f64 y (*.f64 y (*.f64 z (*.f64 y #s(literal 1/6 binary64)))) x)
36.6%
(fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) x)
▶54.4%
(fma.f64 y (neg.f64 z) x)
▶99.2%
(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))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
54.2%
(pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
29.9%
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) #s(literal -1/2 binary64))
24.0%
(/.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (neg.f64 (sin.f64 y)))
61.0%
(/.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))
20.5%
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 z z) (*.f64 x (*.f64 x x)))) (/.f64 z (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)))
32.6%
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
54.2%
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
54.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
61.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
37.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
53.1%
(-.f64 x (*.f64 z (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y)))
✓75.7%
(-.f64 x (*.f64 z (sin.f64 y)))
▶53.2%
(-.f64 x (*.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)))
53.5%
(-.f64 x (*.f64 y (fma.f64 y (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) z)))
36.9%
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
85.2%
(*.f64 (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) z) (sin.f64 y)) (neg.f64 z))
68.6%
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) #s(literal -1 binary64)) (neg.f64 x))
40.8%
(*.f64 (sin.f64 y) (neg.f64 z))
▶85.3%
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
19.8%
(*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
3.0%
(*.f64 y (*.f64 y (*.f64 z (*.f64 y #s(literal 1/6 binary64)))))
61.4%
(*.f64 x (cos.f64 y))
✓37.7%
x
Compiler

Compiled 1 071 to 671 computations (37.3% saved)

simplify409.0ms (3.6%)

Memory
-17.9MiB live, 437.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x (cos.f64 y))
✓cost-diff0
(/.f64 (*.f64 x (cos.f64 y)) z)
✓cost-diff0
(-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))
✓cost-diff384
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
✓cost-diff0
(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)
✓cost-diff0
(*.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))
✓cost-diff0
(-.f64 x (*.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)))
✓cost-diff320
(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)))
✓cost-diff0
(*.f64 y #s(literal 1/6 binary64))
✓cost-diff0
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))
✓cost-diff0
(*.f64 z y)
✓cost-diff0
(fma.f64 (*.f64 z y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) x)
✓cost-diff0
(neg.f64 z)
✓cost-diff0
(fma.f64 y (neg.f64 z) x)
✓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-diff128
(/.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))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
✓cost-diff13760
(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))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
Rules
10 102×accelerator-lowering-fma.f32
10 102×accelerator-lowering-fma.f64
4 496×*-lowering-*.f32
4 496×*-lowering-*.f64
3 098×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049313
1140311
2459289
31484289
44029289
08083269
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (neg (pow (cos y) 2))))
x
(/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))
(+ (* 1/2 (cos (* y -2))) 1/2)
1/2
(cos (* y -2))
(* y -2)
y
-2
(cos y)
(/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (neg (pow (cos y) 2)))
(* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2))
(* z (sin y))
z
(sin y)
(neg (pow (cos y) 2))
(pow (cos y) 2)
2
(+ (* y (neg z)) x)
y
(neg z)
z
x
(+ (* (* z y) (+ (* y (* y 1/6)) -1)) x)
(* z y)
z
y
(+ (* y (* y 1/6)) -1)
(* y 1/6)
1/6
-1
x
(- x (* y (+ (* (* y y) (+ (* (* y y) (* z (+ (* (* y y) -1/5040) 1/120))) (* z -1/6))) z)))
x
(* y (+ (* (* y y) (+ (* (* y y) (* z (+ (* (* y y) -1/5040) 1/120))) (* z -1/6))) z))
y
(+ (* (* y y) (+ (* (* y y) (* z (+ (* (* y y) -1/5040) 1/120))) (* z -1/6))) z)
(* y y)
(+ (* (* y y) (* z (+ (* (* y y) -1/5040) 1/120))) (* z -1/6))
(* z (+ (* (* y y) -1/5040) 1/120))
z
(+ (* (* y y) -1/5040) 1/120)
-1/5040
1/120
(* z -1/6)
-1/6
(* z (- (/ (* x (cos y)) z) (sin y)))
z
(- (/ (* x (cos y)) z) (sin y))
(/ (* x (cos y)) z)
(* x (cos y))
x
(cos y)
y
(sin y)
Outputs
(+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (neg (pow (cos y) 2))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) (cos.f64 y)) x)) (cos.f64 y))
x
(/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos 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))
(+ (* 1/2 (cos (* y -2))) 1/2)
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(cos (* y -2))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(* y -2)
(*.f64 y #s(literal -2 binary64))
y
-2
#s(literal -2 binary64)
(cos y)
(cos.f64 y)
(/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (neg (pow (cos y) 2)))
(/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2))
(*.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)))
(* z (sin y))
(*.f64 z (sin.f64 y))
z
(sin y)
(sin.f64 y)
(neg (pow (cos y) 2))
(neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ (* y (neg z)) x)
(-.f64 x (*.f64 y z))
y
(neg z)
(neg.f64 z)
z
x
(+ (* (* z y) (+ (* y (* y 1/6)) -1)) x)
(fma.f64 (*.f64 y z) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) x)
(* z y)
(*.f64 y z)
z
y
(+ (* y (* y 1/6)) -1)
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))
(* y 1/6)
(*.f64 y #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
-1
#s(literal -1 binary64)
x
(- x (* y (+ (* (* y y) (+ (* (* y y) (* z (+ (* (* y y) -1/5040) 1/120))) (* z -1/6))) z)))
(fma.f64 (fma.f64 z (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z) (neg.f64 y) x)
x
(* y (+ (* (* y y) (+ (* (* y y) (* z (+ (* (* y y) -1/5040) 1/120))) (* z -1/6))) z))
(*.f64 y (fma.f64 z (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z))
y
(+ (* (* y y) (+ (* (* y y) (* z (+ (* (* y y) -1/5040) 1/120))) (* z -1/6))) z)
(fma.f64 z (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)
(* y y)
(*.f64 y y)
(+ (* (* y y) (* z (+ (* (* y y) -1/5040) 1/120))) (* z -1/6))
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(* z (+ (* (* y y) -1/5040) 1/120))
(*.f64 z (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
z
(+ (* (* y y) -1/5040) 1/120)
(fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
-1/5040
#s(literal -1/5040 binary64)
1/120
#s(literal 1/120 binary64)
(* z -1/6)
(*.f64 z #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
(* z (- (/ (* x (cos y)) z) (sin y)))
(-.f64 (*.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
z
(- (/ (* x (cos y)) z) (sin y))
(-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))
(/ (* x (cos y)) z)
(/.f64 (*.f64 x (cos.f64 y)) z)
(* x (cos y))
(*.f64 x (cos.f64 y))
x
(cos y)
(cos.f64 y)
y
(sin y)
(sin.f64 y)

localize176.0ms (1.5%)

Memory
4.3MiB live, 399.7MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sin.f64 y)
✓accuracy99.9%
(/.f64 (*.f64 x (cos.f64 y)) z)
✓accuracy99.9%
(*.f64 x (cos.f64 y))
✓accuracy85.3%
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
✓accuracy100.0%
(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)))
✓accuracy99.5%
(*.f64 z #s(literal -1/6 binary64))
✓accuracy99.2%
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
✓accuracy95.5%
(*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
✓accuracy100.0%
(*.f64 z y)
✓accuracy99.9%
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))
✓accuracy99.5%
(*.f64 y #s(literal 1/6 binary64))
✓accuracy98.8%
(fma.f64 (*.f64 z y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) x)
✓accuracy100.0%
(fma.f64 y (neg.f64 z) x)
✓accuracy100.0%
(neg.f64 z)
✓accuracy99.7%
(/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
✓accuracy99.6%
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
✓accuracy99.6%
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))
✓accuracy99.4%
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
Samples
111.0ms255×0valid
1.0ms1×2valid
Compiler

Compiled 291 to 51 computations (82.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 87.0ms
ival-mult: 35.0ms (40.1% of total)
const: 12.0ms (13.7% of total)
ival-cos: 11.0ms (12.6% of total)
ival-add: 9.0ms (10.3% of total)
ival-div: 5.0ms (5.7% of total)
ival-sub: 5.0ms (5.7% of total)
ival-sin: 5.0ms (5.7% of total)
ival-pow2: 2.0ms (2.3% of total)
ival-neg: 2.0ms (2.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series63.0ms (0.6%)

Memory
-3.2MiB live, 148.5MiB allocated
Counts
23 → 528
Calls
Call 1
Inputs
#<alt (+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (neg (pow (cos y) 2))))>
#<alt (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (neg (pow (cos y) 2)))>
#<alt (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))>
#<alt (+ (* 1/2 (cos (* y -2))) 1/2)>
#<alt (+ (* y (neg z)) x)>
#<alt (neg z)>
#<alt (+ (* (* z y) (+ (* y (* y 1/6)) -1)) x)>
#<alt (* z y)>
#<alt (+ (* y (* y 1/6)) -1)>
#<alt (* y 1/6)>
#<alt (+ (* (* y y) (* z (+ (* (* y y) -1/5040) 1/120))) (* z -1/6))>
#<alt (- x (* y (+ (* (* y y) (+ (* (* y y) (* z (+ (* (* y y) -1/5040) 1/120))) (* z -1/6))) z)))>
#<alt (* y (+ (* (* y y) (+ (* (* y y) (* z (+ (* (* y y) -1/5040) 1/120))) (* z -1/6))) z))>
#<alt (+ (* (* y y) (+ (* (* y y) (* z (+ (* (* y y) -1/5040) 1/120))) (* z -1/6))) z)>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (- (/ (* x (cos y)) z) (sin y))>
#<alt (/ (* x (cos y)) z)>
#<alt (* x (cos y))>
#<alt (pow (cos y) 2)>
#<alt (* z (+ (* (* y y) -1/5040) 1/120))>
#<alt (+ (* (* y y) -1/5040) 1/120)>
#<alt (* z -1/6)>
#<alt (sin y)>
Outputs
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (* -1 (/ (* 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))))))>
#<alt (+ (* -1 (/ (* 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))))))>
#<alt (+ (* -1 (/ (* 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))))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* -2 y)) (cos y))))))>
#<alt (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* -2 y)) (cos y))))))>
#<alt (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* -2 y)) (cos y))))))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (+ (* -1 z) (* y (- (* -1 x) (* -1/2 x))))))>
#<alt (+ x (* y (+ (* -1 z) (* y (- (+ (* -1 x) (* -1 (* y (- (* -7/6 z) (* -1 z))))) (* -1/2 x))))))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* z (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))))>
#<alt (* z (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))))>
#<alt (* z (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))))>
#<alt (* -1 (/ (* 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)))) (/ (* (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)))) (/ (* (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)))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)))))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (* y z))>
#<alt (* y (+ (* -1 z) (* -1 (* (pow y 2) (- (* -7/6 z) (* -1 z))))))>
#<alt (* y (+ (* -1 z) (* (pow y 2) (+ (* -1 (* (pow y 2) (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z))))) (* -1 (- (* -7/6 z) (* -1 z)))))))>
#<alt (* y (+ (* -1 z) (* (pow y 2) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* (pow y 2) (+ (* -1 (* (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 (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z))))))))))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (/ (* z (* (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 x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* -1 (* y z)))>
#<alt (* -1 (* y z))>
#<alt (* y (+ (* -1 z) (/ x y)))>
#<alt (* y (+ (* -1 z) (/ x y)))>
#<alt (* y (+ (* -1 z) (/ x y)))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y (+ z (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ z (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ z (* -1 (/ x y)))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* -1 (* y z)))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (/ x z)))>
#<alt (* z (+ (* -1 y) (/ x z)))>
#<alt (* z (+ (* -1 y) (/ x z)))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ x z)))))>
#<alt (* -1 (* y z))>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* -1 (* y z)))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))>
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))>
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))>
#<alt x>
#<alt (* -1 (* x (- (/ (* y z) x) 1)))>
#<alt (* -1 (* x (- (/ (* y z) x) 1)))>
#<alt (* -1 (* x (- (/ (* y z) x) 1)))>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt x>
#<alt (+ x (* y (* z (- (* 1/6 (pow y 2)) 1))))>
#<alt (+ x (* y (* z (- (* 1/6 (pow y 2)) 1))))>
#<alt (+ x (* y (* z (- (* 1/6 (pow y 2)) 1))))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* z (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z)))>
#<alt (* z (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z)))>
#<alt (* z (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z)))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* -1 (* z (+ (* -1 (* y (- (* 1/6 (pow y 2)) 1))) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (* y (- (* 1/6 (pow y 2)) 1))) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (* y (- (* 1/6 (pow y 2)) 1))) (* -1 (/ x z)))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))))>
#<alt (+ x (* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))>
#<alt (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (+ (* 1/6 z) (/ x (pow y 3)))))>
#<alt (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (+ (* 1/6 z) (/ x (pow y 3)))))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* -1 (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 3))) (+ (* -1/6 z) (/ z (pow y 2))))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 3))) (+ (* -1/6 z) (/ z (pow y 2))))))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (+ x (* y (* z (- (* 1/6 (pow y 2)) 1))))>
#<alt (+ x (* y (* z (- (* 1/6 (pow y 2)) 1))))>
#<alt (+ x (* y (* z (- (* 1/6 (pow y 2)) 1))))>
#<alt x>
#<alt (* x (+ 1 (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x)))>
#<alt (* x (+ 1 (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x)))>
#<alt (* x (+ 1 (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x)) 1)))>
#<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 -1>
#<alt (- (* 1/6 (pow y 2)) 1)>
#<alt (- (* 1/6 (pow y 2)) 1)>
#<alt (- (* 1/6 (pow y 2)) 1)>
#<alt (* 1/6 (pow y 2))>
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))>
#<alt (* 1/6 (pow y 2))>
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* -1/6 z)>
#<alt (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))>
#<alt (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))>
#<alt (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))>
#<alt (* -1/5040 (* (pow y 4) z))>
#<alt (* (pow y 4) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))>
#<alt (* (pow y 4) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))>
#<alt (* (pow y 4) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))>
#<alt (* -1/5040 (* (pow y 4) z))>
#<alt (* (pow y 4) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))>
#<alt (* (pow y 4) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))>
#<alt (* (pow y 4) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))>
#<alt (* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))>
#<alt (* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))>
#<alt (* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))>
#<alt (* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))>
#<alt (* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))>
#<alt (* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))>
#<alt (* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))>
#<alt (* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))>
#<alt (* -1 (* z (+ 1/6 (* -1 (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))))))>
#<alt (* -1 (* z (+ 1/6 (* -1 (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))))))>
#<alt (* -1 (* z (+ 1/6 (* -1 (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))))))>
#<alt (* -1 (* z (+ 1/6 (* -1 (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))))))>
#<alt (* -1 (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (* z (+ 1/120 (* -1/5040 (pow y 2))))))))))>
#<alt (- x (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (* z (+ 1/120 (* -1/5040 (pow y 2))))))))))>
#<alt (- x (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (* z (+ 1/120 (* -1/5040 (pow y 2))))))))))>
#<alt (- x (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (* z (+ 1/120 (* -1/5040 (pow y 2))))))))))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (* z (+ 1/120 (* -1/5040 (pow y 2))))))))) x))))>
#<alt (* x (+ 1 (* -1 (/ (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (* z (+ 1/120 (* -1/5040 (pow y 2))))))))) x))))>
#<alt (* x (+ 1 (* -1 (/ (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (* z (+ 1/120 (* -1/5040 (pow y 2))))))))) x))))>
#<alt x>
#<alt (* -1 (* x (- (/ (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (* z (+ 1/120 (* -1/5040 (pow y 2))))))))) x) 1)))>
#<alt (* -1 (* x (- (/ (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (* z (+ 1/120 (* -1/5040 (pow y 2))))))))) x) 1)))>
#<alt (* -1 (* x (- (/ (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (* z (+ 1/120 (* -1/5040 (pow y 2))))))))) x) 1)))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (- (* 1/6 (* (pow y 2) z)) z)))>
#<alt (+ x (* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z)))>
#<alt (* 1/5040 (* (pow y 7) z))>
#<alt (* (pow y 7) (- (* -1/120 (/ z (pow y 2))) (* -1/5040 z)))>
#<alt (* (pow y 7) (- (* 1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))>
#<alt (* (pow y 7) (- (* -1 (/ z (pow y 6))) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))))>
#<alt (* 1/5040 (* (pow y 7) z))>
#<alt (* -1 (* (pow y 7) (- (* 1/120 (/ z (pow y 2))) (* 1/5040 z))))>
#<alt (* -1 (* (pow y 7) (- (* -1/6 (/ z (pow y 4))) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z)))))>
#<alt (* -1 (* (pow y 7) (- (/ z (pow y 6)) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4))))))))>
#<alt x>
#<alt (+ x (* -1 (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))))>
#<alt (+ x (* -1 (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))))>
#<alt (+ x (* -1 (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))))>
#<alt (* -1 (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))>
#<alt (* z (- (/ x z) (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))>
#<alt (* z (- (/ x z) (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))>
#<alt (* z (- (/ x z) (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))>
#<alt (* y (* z (- (* (pow y 2) (+ 1/6 (* -1 (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))))) 1)))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* y (- (* (pow y 2) (+ 1/6 (* -1 (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))))) 1)))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* y (- (* (pow y 2) (+ 1/6 (* -1 (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))))) 1)))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* y (- (* (pow y 2) (+ 1/6 (* -1 (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))))) 1)))))>
#<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 (* -1/5040 (* (pow y 7) z))>
#<alt (* (pow y 7) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))>
#<alt (* (pow y 7) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))>
#<alt (* (pow y 7) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (+ (* 1/120 (/ z (pow y 2))) (/ z (pow y 6))))))>
#<alt (* -1/5040 (* (pow y 7) z))>
#<alt (* -1 (* (pow y 7) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z))))>
#<alt (* -1 (* (pow y 7) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4)))))))>
#<alt (* -1 (* (pow y 7) (+ (* -1 (/ z (pow y 6))) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4))))))))>
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))>
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))>
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))>
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))>
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))>
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))>
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))>
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))>
#<alt (* -1 (* y (* z (- (* (pow y 2) (+ 1/6 (* -1 (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))))) 1))))>
#<alt (* -1 (* y (* z (- (* (pow y 2) (+ 1/6 (* -1 (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))))) 1))))>
#<alt (* -1 (* y (* z (- (* (pow y 2) (+ 1/6 (* -1 (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))))) 1))))>
#<alt (* -1 (* y (* z (- (* (pow y 2) (+ 1/6 (* -1 (* (pow y 2) (+ 1/120 (* -1/5040 (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) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))>
#<alt (* -1/5040 (* (pow y 6) z))>
#<alt (* (pow y 6) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))>
#<alt (* (pow y 6) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))>
#<alt (* (pow y 6) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (+ (* 1/120 (/ z (pow y 2))) (/ z (pow y 6))))))>
#<alt (* -1/5040 (* (pow y 6) z))>
#<alt (* (pow y 6) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))>
#<alt (* (pow y 6) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))>
#<alt (* (pow y 6) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (+ (* 1/120 (/ z (pow y 2))) (/ z (pow y 6))))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* -1 (* z (- (* (pow y 2) (+ 1/6 (* -1 (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))))) 1)))>
#<alt (* -1 (* z (- (* (pow y 2) (+ 1/6 (* -1 (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))))) 1)))>
#<alt (* -1 (* z (- (* (pow y 2) (+ 1/6 (* -1 (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))))) 1)))>
#<alt (* -1 (* z (- (* (pow y 2) (+ 1/6 (* -1 (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))))) 1)))>
#<alt (* x (cos y))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))>
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))>
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (sin y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* -1 (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)>
#<alt (* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))>
#<alt (* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))>
#<alt (* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))>
#<alt (/ (* x (cos y)) z)>
#<alt (* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))>
#<alt (* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))>
#<alt (* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))>
#<alt (/ x z)>
#<alt (+ (* -1 y) (/ x z))>
#<alt (+ (* y (- (* -1/2 (/ (* x y) z)) 1)) (/ x z))>
#<alt (+ (* y (- (* y (+ (* -1/2 (/ x z)) (* 1/6 y))) 1)) (/ x 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)) z)>
#<alt (/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)>
#<alt (/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)>
#<alt (/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)>
#<alt (* -1 (sin y))>
#<alt (- (/ (* x (cos y)) z) (sin y))>
#<alt (- (/ (* x (cos y)) z) (sin y))>
#<alt (- (/ (* x (cos y)) z) (sin y))>
#<alt (* -1 (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)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ x z)>
#<alt (+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z))>
#<alt (+ (* (pow y 2) (+ (* -1/2 (/ x z)) (* 1/24 (/ (* x (pow y 2)) z)))) (/ x z))>
#<alt (+ (* (pow y 2) (+ (* -1/2 (/ x z)) (* (pow y 2) (+ (* -1/720 (/ (* x (pow y 2)) z)) (* 1/24 (/ x z)))))) (/ x z))>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* 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 (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 (+ 1/120 (* -1/5040 (pow y 2))))>
#<alt (* z (+ 1/120 (* -1/5040 (pow y 2))))>
#<alt (* z (+ 1/120 (* -1/5040 (pow y 2))))>
#<alt (* z (+ 1/120 (* -1/5040 (pow y 2))))>
#<alt (* z (+ 1/120 (* -1/5040 (pow y 2))))>
#<alt (* z (+ 1/120 (* -1/5040 (pow y 2))))>
#<alt (* z (+ 1/120 (* -1/5040 (pow y 2))))>
#<alt (* z (+ 1/120 (* -1/5040 (pow y 2))))>
#<alt (* z (+ 1/120 (* -1/5040 (pow y 2))))>
#<alt (* z (+ 1/120 (* -1/5040 (pow y 2))))>
#<alt (* z (+ 1/120 (* -1/5040 (pow y 2))))>
#<alt (* z (+ 1/120 (* -1/5040 (pow y 2))))>
#<alt (* 1/120 z)>
#<alt (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))>
#<alt (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))>
#<alt (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))>
#<alt (* -1/5040 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))>
#<alt (* -1/5040 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))>
#<alt 1/120>
#<alt (+ 1/120 (* -1/5040 (pow y 2)))>
#<alt (+ 1/120 (* -1/5040 (pow y 2)))>
#<alt (+ 1/120 (* -1/5040 (pow y 2)))>
#<alt (* -1/5040 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* -1/5040 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<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

132 calls:

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

rewrite384.0ms (3.4%)

Memory
27.8MiB live, 902.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 310×*-lowering-*.f32
5 310×*-lowering-*.f64
3 946×accelerator-lowering-fma.f32
3 946×accelerator-lowering-fma.f64
3 926×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049252
1289250
22624248
08772227
Stop Event
1×iter limit
1×node limit
Counts
23 → 698
Calls
Call 1
Inputs
(+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (neg (pow (cos y) 2))))
(/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (neg (pow (cos y) 2)))
(/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))
(+ (* 1/2 (cos (* y -2))) 1/2)
(+ (* y (neg z)) x)
(neg z)
(+ (* (* z y) (+ (* y (* y 1/6)) -1)) x)
(* z y)
(+ (* y (* y 1/6)) -1)
(* y 1/6)
(+ (* (* y y) (* z (+ (* (* y y) -1/5040) 1/120))) (* z -1/6))
(- x (* y (+ (* (* y y) (+ (* (* y y) (* z (+ (* (* y y) -1/5040) 1/120))) (* z -1/6))) z)))
(* y (+ (* (* y y) (+ (* (* y y) (* z (+ (* (* y y) -1/5040) 1/120))) (* z -1/6))) z))
(+ (* (* y y) (+ (* (* y y) (* z (+ (* (* y y) -1/5040) 1/120))) (* z -1/6))) z)
(* z (- (/ (* x (cos y)) z) (sin y)))
(- (/ (* x (cos y)) z) (sin y))
(/ (* x (cos y)) z)
(* x (cos y))
(pow (cos y) 2)
(* z (+ (* (* y y) -1/5040) 1/120))
(+ (* (* y y) -1/5040) 1/120)
(* z -1/6)
(sin y)
Outputs
(+.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)) (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))) (+.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))) (+.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)) (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 (neg.f64 (*.f64 z (sin.f64 y))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))) (/.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #s(literal 2 binary64)) (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 (neg.f64 (*.f64 z (sin.f64 y))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y 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)) (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))) (+.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) (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))) (+.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 (neg.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 (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))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(fma.f64 z (*.f64 (sin.f64 y) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (+.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 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 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(fma.f64 z (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (neg.f64 (+.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 (sin.f64 y) (*.f64 z (neg.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 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(fma.f64 (*.f64 z (sin.f64 y)) (neg.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 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (/.f64 #s(literal -1 binary64) (+.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 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 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(fma.f64 (neg.f64 (*.f64 (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 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(fma.f64 #s(literal 1 binary64) (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))) (+.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 #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 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.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 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(fma.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 y)) (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))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(fma.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (*.f64 z (sin.f64 y)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal -1 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 z #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)) (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 (*.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)) (+.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 (pow.f64 (/.f64 #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 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (sin.f64 y))) #s(literal -1 binary64)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (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)) (sin.f64 y))) #s(literal -1 binary64)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.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))) #s(literal -1 binary64)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.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))) (+.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))) (+.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))) (pow.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #s(literal 3 binary64))))))
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(/.f64 (*.f64 z (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64)))
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(*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) z)
(+.f64 (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64)) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))))
(fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(fma.f64 (*.f64 y #s(literal -1/5040 binary64)) y #s(literal 1/120 binary64))
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(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64)))))
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64)) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64))))
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(/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64)))
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(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) (neg.f64 (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))))
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(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64))))))
(*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))))
(*.f64 z #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) z)
(sin.f64 y)

simplify502.0ms (4.4%)

Memory
4.5MiB live, 727.0MiB allocated
Algorithm
1×egg-herbie
Rules
11 584×accelerator-lowering-fma.f32
11 584×accelerator-lowering-fma.f64
7 220×*-lowering-*.f32
7 220×*-lowering-*.f64
2 006×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04336450
114716130
249016072
083175690
Stop Event
1×iter limit
1×node limit
Counts
528 → 528
Calls
Call 1
Inputs
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (* -1 (/ (* 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))))))
(+ (* -1 (/ (* 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))))))
(+ (* -1 (/ (* 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 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* -2 y)) (cos y))))))
(* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* -2 y)) (cos y))))))
(* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* -2 y)) (cos y))))))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* y (- (* -1 x) (* -1/2 x))))))
(+ x (* y (+ (* -1 z) (* y (- (+ (* -1 x) (* -1 (* y (- (* -7/6 z) (* -1 z))))) (* -1/2 x))))))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (* -1 (/ (* 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))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(* z (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))))
(* z (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))))
(* z (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))))
(* -1 (/ (* 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)))) (/ (* (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)))) (/ (* (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)))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)))))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(* -1 (* y z))
(* y (+ (* -1 z) (* -1 (* (pow y 2) (- (* -7/6 z) (* -1 z))))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1 (* (pow y 2) (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z))))) (* -1 (- (* -7/6 z) (* -1 z)))))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* (pow y 2) (+ (* -1 (* (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 (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z))))))))))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (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))
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(pow (cos y) 2)
(* z (+ 1/120 (* -1/5040 (pow y 2))))
(* z (+ 1/120 (* -1/5040 (pow y 2))))
(* z (+ 1/120 (* -1/5040 (pow y 2))))
(* z (+ 1/120 (* -1/5040 (pow y 2))))
(* z (+ 1/120 (* -1/5040 (pow y 2))))
(* z (+ 1/120 (* -1/5040 (pow y 2))))
(* z (+ 1/120 (* -1/5040 (pow y 2))))
(* z (+ 1/120 (* -1/5040 (pow y 2))))
(* z (+ 1/120 (* -1/5040 (pow y 2))))
(* z (+ 1/120 (* -1/5040 (pow y 2))))
(* z (+ 1/120 (* -1/5040 (pow y 2))))
(* z (+ 1/120 (* -1/5040 (pow y 2))))
(* 1/120 z)
(+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))
(+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))
(+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))
(* -1/5040 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(* -1/5040 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
1/120
(+ 1/120 (* -1/5040 (pow y 2)))
(+ 1/120 (* -1/5040 (pow y 2)))
(+ 1/120 (* -1/5040 (pow y 2)))
(* -1/5040 (pow y 2))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* -1/5040 (pow y 2))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* -1/6 z)
(* -1/6 z)
(* -1/6 z)
(* -1/6 z)
(* -1/6 z)
(* -1/6 z)
(* -1/6 z)
(* -1/6 z)
(* -1/6 z)
(* -1/6 z)
(* -1/6 z)
(* -1/6 z)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
Outputs
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(+ (* -1 (/ (* 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))))))
(fma.f64 (neg.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 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)))))
(+ (* -1 (/ (* 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))))))
(fma.f64 (neg.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 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)))))
(+ (* -1 (/ (* 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))))))
(fma.f64 (neg.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* -2 y)) (cos y))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y))) (/.f64 z (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
(* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* -2 y)) (cos y))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y))) (/.f64 z (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
(* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* -2 y)) (cos y))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y))) (/.f64 z (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (/.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 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))
(*.f64 (fma.f64 z (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (*.f64 (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)) (neg.f64 (cos.f64 y)))) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))
(*.f64 (fma.f64 z (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (*.f64 (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)) (neg.f64 (cos.f64 y)))) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))
(*.f64 (fma.f64 z (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (*.f64 (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)) (neg.f64 (cos.f64 y)))) (neg.f64 x))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ x (* y (+ (* -1 z) (* y (- (* -1 x) (* -1/2 x))))))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x)
(+ x (* y (+ (* -1 z) (* y (- (+ (* -1 x) (* -1 (* 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))) (neg.f64 z)) x)
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.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 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.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 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.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 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.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 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.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 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.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 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.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 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.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 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
(/ (* 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 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.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 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.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 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.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 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(* z (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos 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)) (/.f64 x (*.f64 z (cos.f64 y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
(* z (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos 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)) (/.f64 x (*.f64 z (cos.f64 y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
(* z (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos 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)) (/.f64 x (*.f64 z (cos.f64 y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)))))
(*.f64 z (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (*.f64 z (cos.f64 y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)))))
(*.f64 z (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (*.f64 z (cos.f64 y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)))))
(*.f64 z (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (*.f64 z (cos.f64 y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
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x
(+ x (* -1/2 (* x (pow y 2))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)
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(fma.f64 (*.f64 y y) (fma.f64 x (*.f64 y (*.f64 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 x #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))))) x)
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1
#s(literal 1 binary64)
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(pow (cos y) 2)
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(*.f64 (*.f64 z (*.f64 y y)) #s(literal -1/5040 binary64))
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(*.f64 (*.f64 y y) (fma.f64 z #s(literal -1/5040 binary64) (*.f64 z (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))))
(* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
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(*.f64 (*.f64 y y) (fma.f64 z #s(literal -1/5040 binary64) (*.f64 z (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))))
(* -1/5040 (* (pow y 2) z))
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(*.f64 (*.f64 y y) (fma.f64 z #s(literal -1/5040 binary64) (*.f64 z (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))))
(* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
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(*.f64 (*.f64 y y) (fma.f64 z #s(literal -1/5040 binary64) (*.f64 z (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* -1/5040 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(+ 1/120 (* -1/5040 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(+ 1/120 (* -1/5040 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(* -1/5040 (pow y 2))
(*.f64 (*.f64 y y) #s(literal -1/5040 binary64))
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(* -1/6 z)
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(* -1/6 z)
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(* -1/6 z)
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(* -1/6 z)
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(* -1/6 z)
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(* -1/6 z)
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(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
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))))
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 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)

eval584.0ms (5.1%)

Memory
-24.5MiB live, 378.4MiB allocated
Compiler

Compiled 43 272 to 2 826 computations (93.5% saved)

prune296.0ms (2.6%)

Memory
-15.9MiB live, 358.4MiB allocated
Pruning

45 alts after pruning (40 fresh and 5 done)

PrunedKeptTotal
New1 255211 276
Fresh61925
Picked325
Done033
Total1 264451 309
Accuracy
100.0%
Counts
1 309 → 45
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.3%
(fma.f64 (pow.f64 (/.f64 #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 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (sin.f64 y))) #s(literal -1 binary64)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
99.3%
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (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)) (sin.f64 y))) #s(literal -1 binary64)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
52.9%
(fma.f64 (*.f64 (*.f64 y z) (*.f64 y #s(literal 1/6 binary64))) y (-.f64 x (*.f64 y z)))
✓53.1%
(fma.f64 (*.f64 z y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) x)
52.5%
(fma.f64 (*.f64 z y) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) x)
36.0%
(fma.f64 (*.f64 z y) (*.f64 y (*.f64 y #s(literal 1/6 binary64))) x)
36.5%
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y y) x)
53.2%
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
38.9%
(fma.f64 y (fma.f64 y (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 1/6 binary64) z) (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 z)) x)
36.6%
(fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) x)
✓54.4%
(fma.f64 y (neg.f64 z) x)
54.2%
(pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
29.9%
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) #s(literal -1/2 binary64))
33.8%
(/.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 x x)) (-.f64 (*.f64 y (neg.f64 z)) x))
40.5%
(/.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)))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
61.0%
(/.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))
24.0%
(/.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (neg.f64 (sin.f64 y)))
20.5%
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 z z) (*.f64 x (*.f64 x x)))) (/.f64 z (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)))
32.6%
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
54.2%
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
54.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
61.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
▶37.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
✓75.7%
(-.f64 x (*.f64 z (sin.f64 y)))
53.5%
(-.f64 x (*.f64 y (fma.f64 y (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) z)))
36.9%
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
68.6%
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) #s(literal -1 binary64)) (neg.f64 x))
20.7%
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) (*.f64 (*.f64 y z) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y (neg.f64 z))) (*.f64 (*.f64 y z) (*.f64 y z)))))
▶33.7%
(*.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (neg.f64 z)) x)))
20.0%
(*.f64 (*.f64 z y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y (neg.f64 y)) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
40.8%
(*.f64 (sin.f64 y) (neg.f64 z))
20.0%
(*.f64 (neg.f64 z) (fma.f64 (*.f64 y (*.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)) y))
61.4%
(*.f64 (cos.f64 y) x)
▶85.2%
(*.f64 z (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))))
46.1%
(*.f64 z (fma.f64 y (fma.f64 y (/.f64 (*.f64 x #s(literal -1/2 binary64)) z) #s(literal -1 binary64)) (/.f64 x z)))
46.8%
(*.f64 z (/.f64 (*.f64 (cos.f64 y) x) z))
31.0%
(*.f64 z (/.f64 x z))
47.7%
(*.f64 z (-.f64 (/.f64 x z) y))
3.0%
(*.f64 z (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y))))
▶20.0%
(*.f64 z (neg.f64 y))
42.3%
(*.f64 y (-.f64 (/.f64 x y) z))
19.8%
(*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
3.0%
(*.f64 y (*.f64 y (*.f64 z (*.f64 y #s(literal 1/6 binary64)))))
✓37.7%
x
Compiler

Compiled 1 515 to 927 computations (38.8% saved)

simplify285.0ms (2.5%)

Memory
31.9MiB live, 542.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(/.f64 (cos.f64 y) z)
✓cost-diff0
(fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y)))
✓cost-diff704
(*.f64 z (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))))
✓cost-diff128
(-.f64 (*.f64 y (neg.f64 z)) x)
✓cost-diff128
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (neg.f64 z)) x))
✓cost-diff256
(-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 x x))
✓cost-diff2112
(*.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (neg.f64 z)) x)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓cost-diff0
(neg.f64 y)
✓cost-diff0
(*.f64 z (neg.f64 y))
✓cost-diff192
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
✓cost-diff6464
(pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (sin.f64 y))) #s(literal -1 binary64))
✓cost-diff6976
(pow.f64 (/.f64 #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 binary64))
✓cost-diff7296
(fma.f64 (pow.f64 (/.f64 #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 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (sin.f64 y))) #s(literal -1 binary64)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
Rules
8 862×accelerator-lowering-fma.f32
8 862×accelerator-lowering-fma.f64
4 166×*-lowering-*.f32
4 166×*-lowering-*.f64
1 984×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044281
1113275
2268271
3674254
42207240
56117240
08318228
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* (pow (/ -1 (+ (* 1/2 (cos (* y -2))) 1/2)) -1) (pow (/ (+ 1/2 (* 1/2 (cos (+ y y)))) (* z (sin y))) -1)) (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)))
(pow (/ -1 (+ (* 1/2 (cos (* y -2))) 1/2)) -1)
(/ -1 (+ (* 1/2 (cos (* y -2))) 1/2))
-1
(+ (* 1/2 (cos (* y -2))) 1/2)
1/2
(cos (* y -2))
(* y -2)
y
-2
(pow (/ (+ 1/2 (* 1/2 (cos (+ y y)))) (* z (sin y))) -1)
(/ (+ 1/2 (* 1/2 (cos (+ y y)))) (* z (sin y)))
(+ 1/2 (* 1/2 (cos (+ y y))))
(* 1/2 (cos (+ y y)))
(cos (+ y y))
(+ y y)
(* z (sin y))
z
(sin y)
(/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y))
(* x (+ (* 1/2 (cos (* y -2))) 1/2))
x
(cos y)
(* z (neg y))
z
(neg y)
y
(/ 1 (/ 1 x))
1
(/ 1 x)
x
(* (- (* (* y z) (* y z)) (* x x)) (/ 1 (- (* y (neg z)) x)))
(- (* (* y z) (* y z)) (* x x))
(* (* y z) (* y z))
(* y z)
y
z
(* x x)
x
(/ 1 (- (* y (neg z)) x))
1
(- (* y (neg z)) x)
(* y (neg z))
(neg z)
(* z (+ (* (/ (cos y) z) x) (neg (sin y))))
z
(+ (* (/ (cos y) z) x) (neg (sin y)))
(/ (cos y) z)
(cos y)
y
x
(neg (sin y))
(sin y)
Outputs
(+ (* (pow (/ -1 (+ (* 1/2 (cos (* y -2))) 1/2)) -1) (pow (/ (+ 1/2 (* 1/2 (cos (+ y y)))) (* z (sin y))) -1)) (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 (+.f64 y y)) #s(literal 1 binary64))) (/.f64 x (cos.f64 y))))
(pow (/ -1 (+ (* 1/2 (cos (* y -2))) 1/2)) -1)
(fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal -1/2 binary64))
(/ -1 (+ (* 1/2 (cos (* y -2))) 1/2))
(/.f64 #s(literal -2 binary64) (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)))
-1
#s(literal -1 binary64)
(+ (* 1/2 (cos (* y -2))) 1/2)
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(cos (* y -2))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(* y -2)
(*.f64 y #s(literal -2 binary64))
y
-2
#s(literal -2 binary64)
(pow (/ (+ 1/2 (* 1/2 (cos (+ y y)))) (* z (sin y))) -1)
(/.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
(/ (+ 1/2 (* 1/2 (cos (+ y y)))) (* z (sin y)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y)))
(+ 1/2 (* 1/2 (cos (+ y y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
(* 1/2 (cos (+ y y)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))
(cos (+ y y))
(cos.f64 (+.f64 y y))
(+ y y)
(+.f64 y y)
(* z (sin y))
(*.f64 z (sin.f64 y))
z
(sin y)
(sin.f64 y)
(/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
(* x (+ (* 1/2 (cos (* y -2))) 1/2))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) x x))
x
(cos y)
(cos.f64 y)
(* z (neg y))
(*.f64 y (neg.f64 z))
z
(neg y)
(neg.f64 y)
y
(/ 1 (/ 1 x))
x
1
#s(literal 1 binary64)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
x
(* (- (* (* y z) (* y z)) (* x x)) (/ 1 (- (* y (neg z)) x)))
(-.f64 x (*.f64 y z))
(- (* (* y z) (* y z)) (* x x))
(*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))
(* (* y z) (* y z))
(*.f64 (*.f64 y z) (*.f64 y z))
(* y z)
(*.f64 y z)
y
z
(* x x)
(*.f64 x x)
x
(/ 1 (- (* y (neg z)) x))
(/.f64 #s(literal -1 binary64) (fma.f64 y z x))
1
#s(literal 1 binary64)
(- (* y (neg z)) x)
(neg.f64 (fma.f64 y z x))
(* y (neg z))
(*.f64 y (neg.f64 z))
(neg z)
(neg.f64 z)
(* z (+ (* (/ (cos y) z) x) (neg (sin y))))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
z
(+ (* (/ (cos y) z) x) (neg (sin y)))
(-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(cos y)
(cos.f64 y)
y
x
(neg (sin y))
(neg.f64 (sin.f64 y))
(sin y)
(sin.f64 y)

localize167.0ms (1.5%)

Memory
-3.5MiB live, 468.4MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sin.f64 y)
✓accuracy99.8%
(fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y)))
✓accuracy99.8%
(/.f64 (cos.f64 y) z)
✓accuracy85.3%
(*.f64 z (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (neg.f64 z)) x))
✓accuracy99.6%
(*.f64 (*.f64 y z) (*.f64 y z))
✓accuracy90.3%
(-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 x x))
✓accuracy48.6%
(*.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (neg.f64 z)) x)))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓accuracy100.0%
(*.f64 z (neg.f64 y))
✓accuracy100.0%
(neg.f64 y)
✓accuracy99.6%
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (sin.f64 y)))
✓accuracy99.4%
(pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (sin.f64 y))) #s(literal -1 binary64))
✓accuracy99.4%
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓accuracy99.4%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
Samples
110.0ms256×0valid
Compiler

Compiled 279 to 46 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 86.0ms
ival-mult: 29.0ms (33.8% of total)
ival-cos: 16.0ms (18.7% of total)
ival-div: 11.0ms (12.8% of total)
ival-pow: 9.0ms (10.5% of total)
ival-add: 8.0ms (9.3% of total)
ival-sin: 5.0ms (5.8% of total)
ival-neg: 5.0ms (5.8% of total)
ival-sub: 2.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series50.0ms (0.4%)

Memory
-2.5MiB live, 117.8MiB allocated
Counts
21 → 480
Calls
Call 1
Inputs
#<alt (+ (* (pow (/ -1 (+ (* 1/2 (cos (* y -2))) 1/2)) -1) (pow (/ (+ 1/2 (* 1/2 (cos (+ y y)))) (* z (sin y))) -1)) (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)))>
#<alt (pow (/ -1 (+ (* 1/2 (cos (* y -2))) 1/2)) -1)>
#<alt (pow (/ (+ 1/2 (* 1/2 (cos (+ y y)))) (* z (sin y))) -1)>
#<alt (/ -1 (+ (* 1/2 (cos (* y -2))) 1/2))>
#<alt (* z (neg y))>
#<alt (neg y)>
#<alt (/ 1 (/ 1 x))>
#<alt (/ 1 x)>
#<alt (* (- (* (* y z) (* y z)) (* x x)) (/ 1 (- (* y (neg z)) x)))>
#<alt (- (* (* y z) (* y z)) (* x x))>
#<alt (/ 1 (- (* y (neg z)) x))>
#<alt (- (* y (neg z)) x)>
#<alt (* z (+ (* (/ (cos y) z) x) (neg (sin y))))>
#<alt (+ (* (/ (cos y) z) x) (neg (sin y)))>
#<alt (/ (cos y) z)>
#<alt (cos y)>
#<alt (+ 1/2 (* 1/2 (cos (+ y y))))>
#<alt (+ (* 1/2 (cos (* y -2))) 1/2)>
#<alt (/ (+ 1/2 (* 1/2 (cos (+ y y)))) (* z (sin y)))>
#<alt (* (* y z) (* y z))>
#<alt (sin y)>
Outputs
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (+ (* -1 z) (* y (- (* -1 x) (* -1/2 x))))))>
#<alt (+ x (* y (+ (* -1 z) (* y (- (+ (* -1 x) (* -1 (* y (- (* -7/6 z) (* -1 z))))) (* -1/2 x))))))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* z (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))))>
#<alt (* z (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))))>
#<alt (* z (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))))>
#<alt (* -1 (/ (* 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)))) (/ (* (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)))) (/ (* (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)))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
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#<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 (* y z))>
#<alt (/ (+ (* -5/6 (/ (pow y 2) z)) (/ 1 z)) y)>
#<alt (/ (+ (* (pow y 2) (- (* 67/360 (/ (pow y 2) z)) (* 5/6 (/ 1 z)))) (/ 1 z)) y)>
#<alt (/ (+ (* (pow y 2) (- (* (pow y 2) (+ (* -19/3024 (/ (pow y 2) z)) (* 67/360 (/ 1 z)))) (* 5/6 (/ 1 z)))) (/ 1 z)) y)>
#<alt (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))>
#<alt (/ (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (* z (sin y)))>
#<alt (/ (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (* z (sin y)))>
#<alt (/ (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (* z (sin y)))>
#<alt (/ (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (* z (sin y)))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<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

120 calls:

TimeVariablePointExpression
12.0ms
y
@0
(/ -1 (+ (* 1/2 (cos (* y -2))) 1/2))
4.0ms
y
@0
(* z (neg y))
3.0ms
y
@0
(pow (/ (+ 1/2 (* 1/2 (cos (+ y y)))) (* z (sin y))) -1)
2.0ms
z
@0
(/ (+ 1/2 (* 1/2 (cos (+ y y)))) (* z (sin y)))
1.0ms
y
@-inf
(+ (* (pow (/ -1 (+ (* 1/2 (cos (* y -2))) 1/2)) -1) (pow (/ (+ 1/2 (* 1/2 (cos (+ y y)))) (* z (sin y))) -1)) (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)))

rewrite340.0ms (3%)

Memory
-1.8MiB live, 638.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 524×*-lowering-*.f32
4 524×*-lowering-*.f64
3 610×accelerator-lowering-fma.f32
3 610×accelerator-lowering-fma.f64
3 606×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044188
1256154
22206154
08344145
Stop Event
1×iter limit
1×node limit
Counts
21 → 821
Calls
Call 1
Inputs
(+ (* (pow (/ -1 (+ (* 1/2 (cos (* y -2))) 1/2)) -1) (pow (/ (+ 1/2 (* 1/2 (cos (+ y y)))) (* z (sin y))) -1)) (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)))
(pow (/ -1 (+ (* 1/2 (cos (* y -2))) 1/2)) -1)
(pow (/ (+ 1/2 (* 1/2 (cos (+ y y)))) (* z (sin y))) -1)
(/ -1 (+ (* 1/2 (cos (* y -2))) 1/2))
(* z (neg y))
(neg y)
(/ 1 (/ 1 x))
(/ 1 x)
(* (- (* (* y z) (* y z)) (* x x)) (/ 1 (- (* y (neg z)) x)))
(- (* (* y z) (* y z)) (* x x))
(/ 1 (- (* y (neg z)) x))
(- (* y (neg z)) x)
(* z (+ (* (/ (cos y) z) x) (neg (sin y))))
(+ (* (/ (cos y) z) x) (neg (sin y)))
(/ (cos y) z)
(cos y)
(+ 1/2 (* 1/2 (cos (+ y y))))
(+ (* 1/2 (cos (* y -2))) 1/2)
(/ (+ 1/2 (* 1/2 (cos (+ y y)))) (* z (sin y)))
(* (* y z) (* y z))
(sin y)
Outputs
(+.f64 (*.f64 (neg.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 (*.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 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y)))) #s(literal -2 binary64)) (-.f64 (*.f64 (neg.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 (neg.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 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #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)) 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 (neg.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 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 (neg.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 (neg.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 (neg.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 (neg.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 (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 (/.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (neg.f64 (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 #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 (neg.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 (neg.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 (pow.f64 (neg.f64 (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)) (*.f64 (pow.f64 (neg.f64 (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)) (/.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 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1/2 binary64))) (neg.f64 (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 (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 (neg.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 (pow.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y)))) #s(literal -1/2 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 (neg.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)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1/2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (pow.f64 (*.f64 z (sin.f64 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 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (neg.f64 (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))) (pow.f64 (neg.f64 (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)) (/.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 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 z (sin.f64 y)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) #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 z (sin.f64 y)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (*.f64 (sin.f64 y) (neg.f64 z)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) z))) (neg.f64 (neg.f64 (sin.f64 y))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 (sin.f64 y) (neg.f64 z)))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (*.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 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (sin.f64 y))) (neg.f64 z))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) #s(literal 1 binary64))
(pow.f64 (/.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 -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1/2 binary64))) #s(literal -2 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (/.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 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (sin.f64 y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) z)) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) (neg.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) z) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) z))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.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))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) (neg.f64 z))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) z)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cos.f64 y)))) (exp.f64 (neg.f64 (log.f64 (*.f64 z (sin.f64 y))))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 y z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (neg.f64 z))) #s(literal 2 binary64)))
(neg.f64 (*.f64 (*.f64 y z) (*.f64 y (neg.f64 z))))
(neg.f64 (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y z)))
(pow.f64 (*.f64 y z) #s(literal 2 binary64))
(pow.f64 (*.f64 y (*.f64 z (*.f64 y z))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (neg.f64 z)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 y z))) #s(literal 2 binary64))
(*.f64 y (*.f64 z (*.f64 y z)))
(*.f64 y (*.f64 (neg.f64 z) (*.f64 y (neg.f64 z))))
(*.f64 y (*.f64 y (*.f64 z z)))
(*.f64 z (*.f64 y (*.f64 y z)))
(*.f64 z (*.f64 (neg.f64 y) (*.f64 y (neg.f64 z))))
(*.f64 (neg.f64 y) (*.f64 z (*.f64 y (neg.f64 z))))
(*.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z (*.f64 y z))))
(*.f64 (*.f64 y z) (*.f64 y z))
(*.f64 (neg.f64 z) (*.f64 y (*.f64 y (neg.f64 z))))
(*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z)))
(*.f64 (*.f64 y y) (*.f64 z z))
(*.f64 (*.f64 z z) (*.f64 y y))
(*.f64 (*.f64 y (*.f64 y z)) z)
(*.f64 (*.f64 z (*.f64 y z)) y)
(*.f64 (*.f64 (*.f64 y (neg.f64 z)) y) (neg.f64 z))
(*.f64 (*.f64 (*.f64 y (neg.f64 z)) z) (neg.f64 y))
(*.f64 (*.f64 (*.f64 y (neg.f64 z)) (neg.f64 y)) z)
(*.f64 (*.f64 (*.f64 y (neg.f64 z)) (neg.f64 z)) y)
(*.f64 (*.f64 (*.f64 y y) z) z)
(*.f64 (exp.f64 (log.f64 (*.f64 y z))) (exp.f64 (log.f64 (*.f64 y z))))
(sin.f64 y)

simplify458.0ms (4%)

Memory
-3.9MiB live, 475.7MiB allocated
Algorithm
1×egg-herbie
Rules
7 112×accelerator-lowering-fma.f32
7 112×accelerator-lowering-fma.f64
5 406×*-lowering-*.f32
5 406×*-lowering-*.f64
1 924×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05235250
116354491
248334447
081454236
Stop Event
1×iter limit
1×node limit
Counts
480 → 480
Calls
Call 1
Inputs
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* y (- (* -1 x) (* -1/2 x))))))
(+ x (* y (+ (* -1 z) (* y (- (+ (* -1 x) (* -1 (* y (- (* -7/6 z) (* -1 z))))) (* -1/2 x))))))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
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(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* z (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))))
(* z (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))))
(* z (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* z (+ (* -1 (/ (* 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))))))))
(* -1 (* z (+ (* -1 (/ (* 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))))))))
(* -1 (* z (+ (* -1 (/ (* 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))))))))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* -2 y)) (cos y))))))
(* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* -2 y)) (cos y))))))
(* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* -2 y)) (cos y))))))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 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)))))))))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 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)))))))))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 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)))))))))
-1
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(- (* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) 1)
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(* -1 (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* -1 (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* -1 (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* -1 (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* -1 (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* -1 (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* -1 (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* y z)
(* y (+ z (* (pow y 2) (- (* -1/6 z) (* -1 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)))))
(* 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)))))
(/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))
(/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))
(/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))
(/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))
(/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))
-1
(- (* -1 (pow y 2)) 1)
(- (* (pow y 2) (- (* -2/3 (pow y 2)) 1)) 1)
(- (* (pow y 2) (- (* (pow y 2) (- (* -17/45 (pow y 2)) 2/3)) 1)) 1)
(/ -1 (+ 1/2 (* 1/2 (cos (* -2 y)))))
(/ -1 (+ 1/2 (* 1/2 (cos (* -2 y)))))
(/ -1 (+ 1/2 (* 1/2 (cos (* -2 y)))))
(/ -1 (+ 1/2 (* 1/2 (cos (* -2 y)))))
(/ -1 (+ 1/2 (* 1/2 (cos (* -2 y)))))
(/ -1 (+ 1/2 (* 1/2 (cos (* -2 y)))))
(/ -1 (+ 1/2 (* 1/2 (cos (* -2 y)))))
(/ -1 (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* -1 (* y z))
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(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
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(* -1 y)
(* -1 y)
(* -1 y)
x
x
x
x
x
x
x
x
x
x
x
x
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
x
(+ x (* -1 (* y z)))
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(* -1 (* y z))
(* y (+ (* -1 z) (/ x y)))
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(* y (+ (* -1 z) (/ x y)))
(* -1 (* y z))
(* -1 (* y (+ z (* -1 (/ x y)))))
(* -1 (* y (+ z (* -1 (/ x y)))))
(* -1 (* y (+ z (* -1 (/ x y)))))
x
(+ x (* -1 (* y z)))
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(* -1 (* y z))
(* z (+ (* -1 y) (/ x z)))
(* z (+ (* -1 y) (/ x z)))
(* z (+ (* -1 y) (/ x z)))
(* -1 (* y z))
(* -1 (* z (+ y (* -1 (/ x z)))))
(* -1 (* z (+ y (* -1 (/ x z)))))
(* -1 (* z (+ y (* -1 (/ x z)))))
(* -1 (* y z))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (+ 1 (* -1 (/ (* y z) x))))
x
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (pow x 2))
(- (* (pow y 2) (pow z 2)) (pow x 2))
(- (* (pow y 2) (pow z 2)) (pow x 2))
(- (* (pow y 2) (pow z 2)) (pow x 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (pow z 2)))
(* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (pow z 2)))
(* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (pow z 2)))
(* (pow y 2) (pow z 2))
(* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (pow z 2)))
(* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (pow z 2)))
(* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (pow z 2)))
(* -1 (pow x 2))
(- (* (pow y 2) (pow z 2)) (pow x 2))
(- (* (pow y 2) (pow z 2)) (pow x 2))
(- (* (pow y 2) (pow z 2)) (pow x 2))
(* (pow y 2) (pow z 2))
(* (pow z 2) (+ (* -1 (/ (pow x 2) (pow z 2))) (pow y 2)))
(* (pow z 2) (+ (* -1 (/ (pow x 2) (pow z 2))) (pow y 2)))
(* (pow z 2) (+ (* -1 (/ (pow x 2) (pow z 2))) (pow y 2)))
(* (pow y 2) (pow z 2))
(* (pow z 2) (+ (* -1 (/ (pow x 2) (pow z 2))) (pow y 2)))
(* (pow z 2) (+ (* -1 (/ (pow x 2) (pow z 2))) (pow y 2)))
(* (pow z 2) (+ (* -1 (/ (pow x 2) (pow z 2))) (pow y 2)))
(* (pow y 2) (pow z 2))
(+ (* -1 (pow x 2)) (* (pow y 2) (pow z 2)))
(+ (* -1 (pow x 2)) (* (pow y 2) (pow z 2)))
(+ (* -1 (pow x 2)) (* (pow y 2) (pow z 2)))
(* -1 (pow x 2))
(* (pow x 2) (- (/ (* (pow y 2) (pow z 2)) (pow x 2)) 1))
(* (pow x 2) (- (/ (* (pow y 2) (pow z 2)) (pow x 2)) 1))
(* (pow x 2) (- (/ (* (pow y 2) (pow z 2)) (pow x 2)) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (/ (* (pow y 2) (pow z 2)) (pow x 2)) 1))
(* (pow x 2) (- (/ (* (pow y 2) (pow z 2)) (pow x 2)) 1))
(* (pow x 2) (- (/ (* (pow y 2) (pow z 2)) (pow x 2)) 1))
(/ -1 x)
(- (/ (* y z) (pow x 2)) (/ 1 x))
(- (* y (- (* -1 (/ (* y (pow z 2)) (pow x 3))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(- (* y (- (* y (- (/ (* y (pow z 3)) (pow x 4)) (/ (pow z 2) (pow x 3)))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(/ -1 (* y z))
(/ (- (/ x (* y (pow z 2))) (/ 1 z)) y)
(/ (- (* -1 (/ (pow x 2) (* (pow y 2) (pow z 3)))) (+ (* -1 (/ x (* y (pow z 2)))) (/ 1 z))) y)
(/ (- (/ (pow x 3) (* (pow y 3) (pow z 4))) (+ (* -1 (/ x (* y (pow z 2)))) (+ (/ 1 z) (/ (pow x 2) (* (pow y 2) (pow z 3)))))) y)
(/ -1 (* y z))
(* -1 (/ (+ (* -1 (/ x (* y (pow z 2)))) (/ 1 z)) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 2) (* y (pow z 3)))) (* -1 (/ x (pow z 2)))) y)) (/ 1 z)) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) (* y (pow z 4)))) (* -1 (/ (pow x 2) (pow z 3)))) y)) (* -1 (/ x (pow z 2)))) y)) (/ 1 z)) y))
(/ -1 x)
(- (/ (* y z) (pow x 2)) (/ 1 x))
(- (* z (- (* -1 (/ (* (pow y 2) z) (pow x 3))) (* -1 (/ y (pow x 2))))) (/ 1 x))
(- (* z (- (* z (- (/ (* (pow y 3) z) (pow x 4)) (/ (pow y 2) (pow x 3)))) (* -1 (/ y (pow x 2))))) (/ 1 x))
(/ -1 (* y z))
(/ (- (/ x (* (pow y 2) z)) (/ 1 y)) z)
(/ (- (* -1 (/ (pow x 2) (* (pow y 3) (pow z 2)))) (+ (* -1 (/ x (* (pow y 2) z))) (/ 1 y))) z)
(/ (- (/ (pow x 3) (* (pow y 4) (pow z 3))) (+ (* -1 (/ x (* (pow y 2) z))) (+ (/ 1 y) (/ (pow x 2) (* (pow y 3) (pow z 2)))))) z)
(/ -1 (* y z))
(* -1 (/ (+ (* -1 (/ x (* (pow y 2) z))) (/ 1 y)) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 2) (* (pow y 3) z))) (* -1 (/ x (pow y 2)))) z)) (/ 1 y)) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) (* (pow y 4) z))) (* -1 (/ (pow x 2) (pow y 3)))) z)) (* -1 (/ x (pow y 2)))) z)) (/ 1 y)) z))
(/ -1 (* y z))
(- (/ x (* (pow y 2) (pow z 2))) (/ 1 (* y z)))
(- (* x (+ (* -1 (/ x (* (pow y 3) (pow z 3)))) (/ 1 (* (pow y 2) (pow z 2))))) (/ 1 (* y z)))
(- (* x (+ (* x (- (/ x (* (pow y 4) (pow z 4))) (/ 1 (* (pow y 3) (pow z 3))))) (/ 1 (* (pow y 2) (pow z 2))))) (/ 1 (* y z)))
(/ -1 x)
(/ (- (/ (* y z) x) 1) x)
(/ (- (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (+ 1 (* -1 (/ (* y z) x)))) x)
(/ (- (/ (* (pow y 3) (pow z 3)) (pow x 3)) (+ 1 (+ (* -1 (/ (* y z) x)) (/ (* (pow y 2) (pow z 2)) (pow x 2))))) x)
(/ -1 x)
(* -1 (/ (+ 1 (* -1 (/ (* y z) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (* (pow y 2) (pow z 2)) x)) (* -1 (* y z))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow y 3) (pow z 3)) x)) (* -1 (* (pow y 2) (pow z 2)))) x)) (* -1 (* y z))) x))) x))
(* -1 x)
(- (* -1 (* y z)) x)
(- (* -1 (* y z)) x)
(- (* -1 (* y z)) x)
(* -1 (* y z))
(* y (+ (* -1 z) (* -1 (/ x y))))
(* y (+ (* -1 z) (* -1 (/ x y))))
(* y (+ (* -1 z) (* -1 (/ x y))))
(* -1 (* y z))
(* -1 (* y (+ z (/ x y))))
(* -1 (* y (+ z (/ x y))))
(* -1 (* y (+ z (/ x y))))
(* -1 x)
(- (* -1 (* y z)) x)
(- (* -1 (* y z)) x)
(- (* -1 (* y z)) x)
(* -1 (* y z))
(* z (+ (* -1 y) (* -1 (/ x z))))
(* z (+ (* -1 y) (* -1 (/ x z))))
(* z (+ (* -1 y) (* -1 (/ x z))))
(* -1 (* y z))
(* -1 (* z (+ y (/ x z))))
(* -1 (* z (+ y (/ x z))))
(* -1 (* z (+ y (/ x z))))
(* -1 (* y z))
(+ (* -1 x) (* -1 (* y z)))
(+ (* -1 x) (* -1 (* y z)))
(+ (* -1 x) (* -1 (* y z)))
(* -1 x)
(* x (- (* -1 (/ (* y z) x)) 1))
(* x (- (* -1 (/ (* y z) x)) 1))
(* x (- (* -1 (/ (* y z) x)) 1))
(* -1 x)
(* -1 (* x (+ 1 (/ (* y z) x))))
(* -1 (* x (+ 1 (/ (* y z) x))))
(* -1 (* x (+ 1 (/ (* y z) x))))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(/ x z)
(+ (* -1 y) (/ x z))
(+ (* y (- (* -1/2 (/ (* x y) z)) 1)) (/ x z))
(+ (* y (- (* y (+ (* -1/2 (/ x z)) (* 1/6 y))) 1)) (/ x 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)) z)
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)
(* -1 (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(* -1 (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(* -1 (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(/ (* x (cos y)) z)
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(/ (* x (cos y)) z)
(* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(/ 1 z)
(+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z))
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
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 (* y z))
(/ (+ (* -5/6 (/ (pow y 2) z)) (/ 1 z)) y)
(/ (+ (* (pow y 2) (- (* 67/360 (/ (pow y 2) z)) (* 5/6 (/ 1 z)))) (/ 1 z)) y)
(/ (+ (* (pow y 2) (- (* (pow y 2) (+ (* -19/3024 (/ (pow y 2) z)) (* 67/360 (/ 1 z)))) (* 5/6 (/ 1 z)))) (/ 1 z)) y)
(/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))
(/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))
(/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))
(/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))
(/ (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (* z (sin y)))
(/ (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (* z (sin y)))
(/ (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (* z (sin y)))
(/ (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (* z (sin y)))
(/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))
(/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))
(/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))
(/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))
(/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))
(/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))
(/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))
(/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))
(/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))
(/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))
(/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))
(/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
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 (* -1 (* y z)))
(-.f64 x (*.f64 y z))
(+ x (* y (+ (* -1 z) (* y (- (* -1 x) (* -1/2 x))))))
(fma.f64 y (-.f64 (*.f64 x (*.f64 y #s(literal -1/2 binary64))) z) x)
(+ x (* y (+ (* -1 z) (* y (- (+ (* -1 x) (* -1 (* y (- (* -7/6 z) (* -1 z))))) (* -1/2 x))))))
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(*.f64 z (neg.f64 (sin.f64 y)))
(* z (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))))
(*.f64 z (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 z (cos.f64 y))) (neg.f64 (sin.f64 y))))
(* z (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))))
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y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)

eval473.0ms (4.2%)

Memory
3.2MiB live, 277.7MiB allocated
Compiler

Compiled 45 182 to 3 285 computations (92.7% saved)

prune252.0ms (2.2%)

Memory
6.5MiB live, 320.0MiB allocated
Pruning

48 alts after pruning (41 fresh and 7 done)

PrunedKeptTotal
New1 352121 364
Fresh62935
Picked325
Done055
Total1 361481 409
Accuracy
100.0%
Counts
1 409 → 48
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.3%
(fma.f64 (pow.f64 (/.f64 #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 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (sin.f64 y))) #s(literal -1 binary64)) (/.f64 (*.f64 x #s(literal 1 binary64)) (cos.f64 y)))
52.9%
(fma.f64 (*.f64 (*.f64 y z) (*.f64 y #s(literal 1/6 binary64))) y (-.f64 x (*.f64 y z)))
✓53.1%
(fma.f64 (*.f64 z y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) x)
52.5%
(fma.f64 (*.f64 z y) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) x)
36.0%
(fma.f64 (*.f64 z y) (*.f64 y (*.f64 y #s(literal 1/6 binary64))) x)
36.5%
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y y) x)
79.4%
(fma.f64 (sin.f64 y) (neg.f64 z) (/.f64 (*.f64 z (*.f64 x (cos.f64 y))) z))
53.2%
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
38.9%
(fma.f64 y (fma.f64 y (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 1/6 binary64) z) (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 z)) x)
36.6%
(fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) x)
✓54.4%
(fma.f64 y (neg.f64 z) x)
29.9%
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) #s(literal -1/2 binary64))
92.4%
(/.f64 (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))) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (/.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 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x)))
11.2%
(/.f64 (fma.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 y (neg.f64 z))))))
40.5%
(/.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)))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
61.0%
(/.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))
24.0%
(/.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (neg.f64 (sin.f64 y)))
54.2%
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
54.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
61.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
✓37.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
✓75.7%
(-.f64 x (*.f64 z (sin.f64 y)))
53.5%
(-.f64 x (*.f64 y (fma.f64 y (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) z)))
36.9%
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
68.6%
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) #s(literal -1 binary64)) (neg.f64 x))
53.7%
(*.f64 (fma.f64 y z x) (*.f64 (-.f64 (*.f64 y z) x) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y z x)))))
11.0%
(*.f64 (/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 x (*.f64 x x)))) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (fma.f64 y (neg.f64 z) x))))
13.9%
(*.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 y z)))
31.7%
(*.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) (fma.f64 y (neg.f64 z) x)))
20.0%
(*.f64 (*.f64 z y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y (neg.f64 y)) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
6.7%
(*.f64 (*.f64 y (*.f64 y (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (neg.f64 z)) x)))
22.4%
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (neg.f64 z)) x)))
40.8%
(*.f64 (sin.f64 y) (neg.f64 z))
20.0%
(*.f64 (neg.f64 z) (fma.f64 (*.f64 y (*.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)) y))
61.4%
(*.f64 (cos.f64 y) x)
46.1%
(*.f64 z (fma.f64 y (fma.f64 y (/.f64 (*.f64 x #s(literal -1/2 binary64)) z) #s(literal -1 binary64)) (/.f64 x z)))
12.5%
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)))
46.8%
(*.f64 z (/.f64 (*.f64 (cos.f64 y) x) z))
31.0%
(*.f64 z (/.f64 x z))
47.7%
(*.f64 z (-.f64 (/.f64 x z) y))
46.7%
(*.f64 z (*.f64 x (/.f64 (cos.f64 y) z)))
3.0%
(*.f64 z (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y))))
✓20.0%
(*.f64 z (neg.f64 y))
42.3%
(*.f64 y (-.f64 (/.f64 x y) z))
19.8%
(*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
3.0%
(*.f64 y (*.f64 y (*.f64 z (*.f64 y #s(literal 1/6 binary64)))))
✓37.7%
x
Compiler

Compiled 2 251 to 811 computations (64% saved)

regimes128.0ms (1.1%)

Memory
3.8MiB live, 160.0MiB allocated
Counts
77 → 1
Calls
Call 1
Inputs
x
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 z y))
(fma.f64 y (neg.f64 z) x)
(*.f64 z (/.f64 x z))
(fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) x)
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y y) x)
(*.f64 y (-.f64 (/.f64 x y) z))
(*.f64 z (-.f64 (/.f64 x z) y))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x)
(*.f64 y (*.f64 y (*.f64 z (*.f64 y #s(literal 1/6 binary64)))))
(*.f64 z (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y))))
(*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(fma.f64 y (*.f64 y (*.f64 z (*.f64 y #s(literal 1/6 binary64)))) x)
(fma.f64 (*.f64 z y) (*.f64 y (*.f64 y #s(literal 1/6 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 z y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) x)
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)))
(fma.f64 (*.f64 (*.f64 y z) (*.f64 y #s(literal 1/6 binary64))) y (-.f64 x (*.f64 y z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (neg.f64 z)) x)))
(-.f64 x (*.f64 y (fma.f64 y (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) z)))
(*.f64 (*.f64 y (*.f64 y (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (neg.f64 z)) x)))
(fma.f64 y (fma.f64 y (*.f64 z (fma.f64 y #s(literal 1/6 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) z))) (neg.f64 z)) x)
(*.f64 (fma.f64 y z x) (*.f64 (-.f64 (*.f64 y z) x) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y z x)))))
(*.f64 z (fma.f64 y (fma.f64 y (/.f64 (*.f64 x #s(literal -1/2 binary64)) z) #s(literal -1 binary64)) (/.f64 x z)))
(*.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 y z)))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 x x)) (-.f64 (*.f64 y (neg.f64 z)) x))
(*.f64 (neg.f64 z) (fma.f64 (*.f64 y (*.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)) y))
(*.f64 (*.f64 z y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y (neg.f64 y)) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(-.f64 x (*.f64 z (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y)))
(*.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (neg.f64 z)) x)))
(-.f64 x (*.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)))
(fma.f64 (*.f64 z y) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) x)
(*.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) (fma.f64 y (neg.f64 z) x)))
(fma.f64 y (fma.f64 y (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 1/6 binary64) z) (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 z)) x)
(/.f64 (fma.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 y (neg.f64 z))))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) (*.f64 (*.f64 y z) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y (neg.f64 z))) (*.f64 (*.f64 y z) (*.f64 y z)))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 z z) (*.f64 x (*.f64 x x)))) (/.f64 z (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 x (*.f64 x x)))) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (fma.f64 y (neg.f64 z) x))))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(-.f64 x (*.f64 z (sin.f64 y)))
(*.f64 z (*.f64 x (/.f64 (cos.f64 y) z)))
(*.f64 z (/.f64 (*.f64 (cos.f64 y) x) z))
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(-.f64 (*.f64 x (cos.f64 y)) (*.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)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(*.f64 z (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))))
(*.f64 (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) z) (sin.f64 y)) (neg.f64 z))
(/.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))
(fma.f64 (sin.f64 y) (neg.f64 z) (/.f64 (*.f64 z (*.f64 x (cos.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)))))) (neg.f64 (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 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)) (neg.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) #s(literal -1/2 binary64))
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (/.f64 #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 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (sin.f64 y))) #s(literal -1 binary64)) (/.f64 (*.f64 x #s(literal 1 binary64)) (cos.f64 y)))
(fma.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (fma.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) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (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))) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (/.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 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (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)) (sin.f64 y))) #s(literal -1 binary64)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(fma.f64 (pow.f64 (/.f64 #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 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (sin.f64 y))) #s(literal -1 binary64)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64))) (*.f64 (fma.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)))))
Outputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Calls

4 calls:

57.0ms
x
23.0ms
y
23.0ms
z
22.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes63.0ms (0.6%)

Memory
-6.7MiB live, 110.2MiB allocated
Counts
53 → 3
Calls
Call 1
Inputs
x
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 z y))
(fma.f64 y (neg.f64 z) x)
(*.f64 z (/.f64 x z))
(fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) x)
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y y) x)
(*.f64 y (-.f64 (/.f64 x y) z))
(*.f64 z (-.f64 (/.f64 x z) y))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x)
(*.f64 y (*.f64 y (*.f64 z (*.f64 y #s(literal 1/6 binary64)))))
(*.f64 z (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y))))
(*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(fma.f64 y (*.f64 y (*.f64 z (*.f64 y #s(literal 1/6 binary64)))) x)
(fma.f64 (*.f64 z y) (*.f64 y (*.f64 y #s(literal 1/6 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 z y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) x)
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)))
(fma.f64 (*.f64 (*.f64 y z) (*.f64 y #s(literal 1/6 binary64))) y (-.f64 x (*.f64 y z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (neg.f64 z)) x)))
(-.f64 x (*.f64 y (fma.f64 y (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) z)))
(*.f64 (*.f64 y (*.f64 y (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (neg.f64 z)) x)))
(fma.f64 y (fma.f64 y (*.f64 z (fma.f64 y #s(literal 1/6 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) z))) (neg.f64 z)) x)
(*.f64 (fma.f64 y z x) (*.f64 (-.f64 (*.f64 y z) x) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y z x)))))
(*.f64 z (fma.f64 y (fma.f64 y (/.f64 (*.f64 x #s(literal -1/2 binary64)) z) #s(literal -1 binary64)) (/.f64 x z)))
(*.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 y z)))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 x x)) (-.f64 (*.f64 y (neg.f64 z)) x))
(*.f64 (neg.f64 z) (fma.f64 (*.f64 y (*.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)) y))
(*.f64 (*.f64 z y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y (neg.f64 y)) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(-.f64 x (*.f64 z (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y)))
(*.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (neg.f64 z)) x)))
(-.f64 x (*.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)))
(fma.f64 (*.f64 z y) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) x)
(*.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) (fma.f64 y (neg.f64 z) x)))
(fma.f64 y (fma.f64 y (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 1/6 binary64) z) (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 z)) x)
(/.f64 (fma.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 y (neg.f64 z))))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) (*.f64 (*.f64 y z) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y (neg.f64 z))) (*.f64 (*.f64 y z) (*.f64 y z)))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 z z) (*.f64 x (*.f64 x x)))) (/.f64 z (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 x (*.f64 x x)))) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (fma.f64 y (neg.f64 z) x))))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(-.f64 x (*.f64 z (sin.f64 y)))
(*.f64 z (*.f64 x (/.f64 (cos.f64 y) z)))
(*.f64 z (/.f64 (*.f64 (cos.f64 y) x) z))
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(-.f64 (*.f64 x (cos.f64 y)) (*.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)))
Outputs
(*.f64 x (cos.f64 y))
(-.f64 x (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
Calls

4 calls:

16.0ms
z
15.0ms
y
14.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
14.0ms
x
Results
AccuracySegmentsBranch
90.5%3x
84.6%4y
86.9%3z
80.8%3(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes46.0ms (0.4%)

Memory
6.2MiB live, 58.9MiB allocated
Counts
47 → 4
Calls
Call 1
Inputs
x
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 z y))
(fma.f64 y (neg.f64 z) x)
(*.f64 z (/.f64 x z))
(fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) x)
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y y) x)
(*.f64 y (-.f64 (/.f64 x y) z))
(*.f64 z (-.f64 (/.f64 x z) y))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x)
(*.f64 y (*.f64 y (*.f64 z (*.f64 y #s(literal 1/6 binary64)))))
(*.f64 z (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y))))
(*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(fma.f64 y (*.f64 y (*.f64 z (*.f64 y #s(literal 1/6 binary64)))) x)
(fma.f64 (*.f64 z y) (*.f64 y (*.f64 y #s(literal 1/6 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 z y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) x)
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)))
(fma.f64 (*.f64 (*.f64 y z) (*.f64 y #s(literal 1/6 binary64))) y (-.f64 x (*.f64 y z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (neg.f64 z)) x)))
(-.f64 x (*.f64 y (fma.f64 y (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) z)))
(*.f64 (*.f64 y (*.f64 y (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (neg.f64 z)) x)))
(fma.f64 y (fma.f64 y (*.f64 z (fma.f64 y #s(literal 1/6 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) z))) (neg.f64 z)) x)
(*.f64 (fma.f64 y z x) (*.f64 (-.f64 (*.f64 y z) x) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y z x)))))
(*.f64 z (fma.f64 y (fma.f64 y (/.f64 (*.f64 x #s(literal -1/2 binary64)) z) #s(literal -1 binary64)) (/.f64 x z)))
(*.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 y z)))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 x x)) (-.f64 (*.f64 y (neg.f64 z)) x))
(*.f64 (neg.f64 z) (fma.f64 (*.f64 y (*.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)) y))
(*.f64 (*.f64 z y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y (neg.f64 y)) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(-.f64 x (*.f64 z (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y)))
(*.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (neg.f64 z)) x)))
(-.f64 x (*.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)))
(fma.f64 (*.f64 z y) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) x)
(*.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) (fma.f64 y (neg.f64 z) x)))
(fma.f64 y (fma.f64 y (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 1/6 binary64) z) (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 z)) x)
(/.f64 (fma.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 y (neg.f64 z))))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) (*.f64 (*.f64 y z) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y (neg.f64 z))) (*.f64 (*.f64 y z) (*.f64 y z)))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 z z) (*.f64 x (*.f64 x x)))) (/.f64 z (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 x (*.f64 x x)))) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (fma.f64 y (neg.f64 z) x))))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
Outputs
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
(-.f64 x (*.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)))
(*.f64 x (cos.f64 y))
Calls

3 calls:

18.0ms
z
13.0ms
y
13.0ms
x
Results
AccuracySegmentsBranch
83.7%4y
78.8%4z
77.8%4x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes28.0ms (0.2%)

Memory
2.0MiB live, 40.2MiB allocated
Counts
45 → 3
Calls
Call 1
Inputs
x
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 z y))
(fma.f64 y (neg.f64 z) x)
(*.f64 z (/.f64 x z))
(fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) x)
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y y) x)
(*.f64 y (-.f64 (/.f64 x y) z))
(*.f64 z (-.f64 (/.f64 x z) y))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x)
(*.f64 y (*.f64 y (*.f64 z (*.f64 y #s(literal 1/6 binary64)))))
(*.f64 z (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y))))
(*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(fma.f64 y (*.f64 y (*.f64 z (*.f64 y #s(literal 1/6 binary64)))) x)
(fma.f64 (*.f64 z y) (*.f64 y (*.f64 y #s(literal 1/6 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 z y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) x)
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)))
(fma.f64 (*.f64 (*.f64 y z) (*.f64 y #s(literal 1/6 binary64))) y (-.f64 x (*.f64 y z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (neg.f64 z)) x)))
(-.f64 x (*.f64 y (fma.f64 y (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) z)))
(*.f64 (*.f64 y (*.f64 y (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (neg.f64 z)) x)))
(fma.f64 y (fma.f64 y (*.f64 z (fma.f64 y #s(literal 1/6 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) z))) (neg.f64 z)) x)
(*.f64 (fma.f64 y z x) (*.f64 (-.f64 (*.f64 y z) x) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y z x)))))
(*.f64 z (fma.f64 y (fma.f64 y (/.f64 (*.f64 x #s(literal -1/2 binary64)) z) #s(literal -1 binary64)) (/.f64 x z)))
(*.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 y z)))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 x x)) (-.f64 (*.f64 y (neg.f64 z)) x))
(*.f64 (neg.f64 z) (fma.f64 (*.f64 y (*.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)) y))
(*.f64 (*.f64 z y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y (neg.f64 y)) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(-.f64 x (*.f64 z (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y)))
(*.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (neg.f64 z)) x)))
(-.f64 x (*.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)))
(fma.f64 (*.f64 z y) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) x)
(*.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) (fma.f64 y (neg.f64 z) x)))
(fma.f64 y (fma.f64 y (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 1/6 binary64) z) (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 z)) x)
(/.f64 (fma.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 y (neg.f64 z))))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) (*.f64 (*.f64 y z) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y (neg.f64 z))) (*.f64 (*.f64 y z) (*.f64 y z)))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 z z) (*.f64 x (*.f64 x x)))) (/.f64 z (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 x (*.f64 x x)))) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (fma.f64 y (neg.f64 z) x))))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
Outputs
(*.f64 x (cos.f64 y))
(-.f64 x (*.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)))
(*.f64 x (cos.f64 y))
Calls

2 calls:

14.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
12.0ms
y
Results
AccuracySegmentsBranch
68.2%3(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
78.7%3y
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes73.0ms (0.6%)

Memory
5.4MiB live, 82.8MiB allocated
Counts
43 → 1
Calls
Call 1
Inputs
x
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 z y))
(fma.f64 y (neg.f64 z) x)
(*.f64 z (/.f64 x z))
(fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) x)
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y y) x)
(*.f64 y (-.f64 (/.f64 x y) z))
(*.f64 z (-.f64 (/.f64 x z) y))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x)
(*.f64 y (*.f64 y (*.f64 z (*.f64 y #s(literal 1/6 binary64)))))
(*.f64 z (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y))))
(*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(fma.f64 y (*.f64 y (*.f64 z (*.f64 y #s(literal 1/6 binary64)))) x)
(fma.f64 (*.f64 z y) (*.f64 y (*.f64 y #s(literal 1/6 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 z y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) x)
(*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)))
(fma.f64 (*.f64 (*.f64 y z) (*.f64 y #s(literal 1/6 binary64))) y (-.f64 x (*.f64 y z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (neg.f64 z)) x)))
(-.f64 x (*.f64 y (fma.f64 y (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) z)))
(*.f64 (*.f64 y (*.f64 y (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (neg.f64 z)) x)))
(fma.f64 y (fma.f64 y (*.f64 z (fma.f64 y #s(literal 1/6 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) z))) (neg.f64 z)) x)
(*.f64 (fma.f64 y z x) (*.f64 (-.f64 (*.f64 y z) x) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y z x)))))
(*.f64 z (fma.f64 y (fma.f64 y (/.f64 (*.f64 x #s(literal -1/2 binary64)) z) #s(literal -1 binary64)) (/.f64 x z)))
(*.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 y z)))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 x x)) (-.f64 (*.f64 y (neg.f64 z)) x))
(*.f64 (neg.f64 z) (fma.f64 (*.f64 y (*.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)) y))
(*.f64 (*.f64 z y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y (neg.f64 y)) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(-.f64 x (*.f64 z (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y)))
(*.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (neg.f64 z)) x)))
(-.f64 x (*.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)))
(fma.f64 (*.f64 z y) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) x)
(*.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) (fma.f64 y (neg.f64 z) x)))
(fma.f64 y (fma.f64 y (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 1/6 binary64) z) (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 z)) x)
(/.f64 (fma.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 y (neg.f64 z))))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) (*.f64 (*.f64 y z) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y (neg.f64 z))) (*.f64 (*.f64 y z) (*.f64 y z)))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 z z) (*.f64 x (*.f64 x x)))) (/.f64 z (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 x (*.f64 x x)))) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 x (fma.f64 y (neg.f64 z) x))))
Outputs
(fma.f64 y (neg.f64 z) x)
Calls

4 calls:

35.0ms
x
13.0ms
y
12.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
11.0ms
z
Results
AccuracySegmentsBranch
54.4%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
54.4%1x
54.4%1z
54.4%1y
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes8.0ms (0.1%)

Memory
14.8MiB live, 14.8MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
x
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 z y))
Outputs
(-.f64 x (*.f64 z y))
Calls

4 calls:

2.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
2.0ms
z
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
54.4%1z
54.4%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
54.4%1x
54.4%1y
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes25.0ms (0.2%)

Memory
-29.7MiB live, 12.7MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
x
(*.f64 z (neg.f64 y))
Outputs
(*.f64 z (neg.f64 y))
x
(*.f64 z (neg.f64 y))
Calls

4 calls:

20.0ms
y
2.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
2.0ms
x
1.0ms
z
Results
AccuracySegmentsBranch
44.2%3z
37.7%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
42.5%3x
37.7%1y
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes4.0ms (0%)

Memory
11.5MiB live, 11.5MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

3 calls:

1.0ms
y
1.0ms
x
1.0ms
z
Results
AccuracySegmentsBranch
37.7%1y
37.7%1x
37.7%1z
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch40.0ms (0.3%)

Memory
-4.7MiB live, 72.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
4.293450107599585e+82
2.8867643883199663e+86
21.0ms
-1.264554767555796e+92
-1.2815741575152938e+81
Samples
28.0ms288×0valid
Compiler

Compiled 339 to 248 computations (26.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-cos: 8.0ms (39.2% of total)
ival-sin: 7.0ms (34.3% of total)
ival-mult: 4.0ms (19.6% of total)
ival-sub: 1.0ms (4.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch52.0ms (0.5%)

Memory
22.4MiB live, 101.0MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
9.0ms
0.18919137202866715
1.7063265697838754
24.0ms
-47589530003.754845
-75585.80463486037
15.0ms
-1.9142249634688035e+136
-2.6826970469741274e+135
Samples
37.0ms336×0valid
Compiler

Compiled 657 to 407 computations (38.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-cos: 9.0ms (35.9% of total)
ival-sin: 9.0ms (35.9% of total)
ival-mult: 6.0ms (23.9% of total)
ival-sub: 1.0ms (4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch38.0ms (0.3%)

Memory
-31.5MiB live, 85.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
0.18919137202866715
1.7063265697838754
23.0ms
-47589530003.754845
-75585.80463486037
Samples
26.0ms240×0valid
Compiler

Compiled 555 to 329 computations (40.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-cos: 7.0ms (38.1% of total)
ival-sin: 7.0ms (38.1% of total)
ival-mult: 3.0ms (16.3% of total)
ival-sub: 1.0ms (5.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch23.0ms (0.2%)

Memory
10.4MiB live, 52.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
6.267674509849749e+196
2.0057817925805672e+197
9.0ms
-1.1095502474084459e+157
-3.7152236887749415e+156
Samples
16.0ms160×0valid
Compiler

Compiled 145 to 114 computations (21.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-cos: 4.0ms (41.2% of total)
ival-sin: 3.0ms (30.9% of total)
ival-mult: 2.0ms (20.6% of total)
ival-sub: 1.0ms (10.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify13.0ms (0.1%)

Memory
-10.8MiB live, 26.8MiB allocated
Algorithm
1×egg-herbie
Rules
28×*-commutative_binary64
22×+-commutative_binary64
22×sub-neg_binary64
16×cancel-sign-sub-inv_binary64
14×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052136
195136
2122136
3133136
4138136
5139136
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -720000000000000010534100566085908582298430951262551642680599766762253382260826715455488 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 17999999999999998883003244794034957070509601326158700576793199734979023524015823126528 binary64)) (-.f64 x (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y))))
(if (<=.f64 y #s(literal -7399999999999999943486576562035056584417269038711749124545247386124800362694545808310485581691604276822365354907997576717230881854455808 binary64)) (neg.f64 (*.f64 z (sin.f64 y))) (if (<=.f64 y #s(literal -76000 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 8106479329266893/36028797018963968 binary64)) (-.f64 x (*.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))) (*.f64 x (cos.f64 y)))))
(if (<=.f64 y #s(literal -76000 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 5/4 binary64)) (-.f64 x (*.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))) (*.f64 x (cos.f64 y))))
(fma.f64 y (neg.f64 z) x)
(-.f64 x (*.f64 z y))
(if (<=.f64 z #s(literal -4299999999999999852229910743025374286144824664577899044937748399773491957481967274881552653588102504561910050557226899646186196015891287770503850859778015232 binary64)) (*.f64 z (neg.f64 y)) (if (<=.f64 z #s(literal 145000000000000001214808545030895331798958554069522444167157930898189719985689067538842247218815226106804291901331093298646522894734589514633520321754559198683419983034342036633633536607340797624320 binary64)) x (*.f64 z (neg.f64 y))))
x
Outputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -720000000000000010534100566085908582298430951262551642680599766762253382260826715455488 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 17999999999999998883003244794034957070509601326158700576793199734979023524015823126528 binary64)) (-.f64 x (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y))))
(if (<=.f64 y #s(literal -7399999999999999943486576562035056584417269038711749124545247386124800362694545808310485581691604276822365354907997576717230881854455808 binary64)) (neg.f64 (*.f64 z (sin.f64 y))) (if (<=.f64 y #s(literal -76000 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 8106479329266893/36028797018963968 binary64)) (-.f64 x (*.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))) (*.f64 x (cos.f64 y)))))
(if (<=.f64 y #s(literal -7399999999999999943486576562035056584417269038711749124545247386124800362694545808310485581691604276822365354907997576717230881854455808 binary64)) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 y #s(literal -76000 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 8106479329266893/36028797018963968 binary64)) (-.f64 x (*.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))) (*.f64 x (cos.f64 y)))))
(if (<=.f64 y #s(literal -76000 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 5/4 binary64)) (-.f64 x (*.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))) (*.f64 x (cos.f64 y))))
(fma.f64 y (neg.f64 z) x)
(-.f64 x (*.f64 z y))
(-.f64 x (*.f64 y z))
(if (<=.f64 z #s(literal -4299999999999999852229910743025374286144824664577899044937748399773491957481967274881552653588102504561910050557226899646186196015891287770503850859778015232 binary64)) (*.f64 z (neg.f64 y)) (if (<=.f64 z #s(literal 145000000000000001214808545030895331798958554069522444167157930898189719985689067538842247218815226106804291901331093298646522894734589514633520321754559198683419983034342036633633536607340797624320 binary64)) x (*.f64 z (neg.f64 y))))
(if (<=.f64 z #s(literal -4299999999999999852229910743025374286144824664577899044937748399773491957481967274881552653588102504561910050557226899646186196015891287770503850859778015232 binary64)) (neg.f64 (*.f64 y z)) (if (<=.f64 z #s(literal 145000000000000001214808545030895331798958554069522444167157930898189719985689067538842247218815226106804291901331093298646522894734589514633520321754559198683419983034342036633633536607340797624320 binary64)) x (neg.f64 (*.f64 y z))))
x

soundness872.0ms (7.7%)

Memory
31.2MiB live, 583.3MiB allocated
Rules
12 936×accelerator-lowering-fma.f32
12 936×accelerator-lowering-fma.f64
11 584×accelerator-lowering-fma.f32
11 584×accelerator-lowering-fma.f64
8 628×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07206663
124516445
084116126
04336450
114716130
249016072
083175690
0112686
1339681
2933669
32680663
44621663
57358663
08230636
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 288 to 144 computations (50% saved)

preprocess134.0ms (1.2%)

Memory
-22.2MiB live, 104.2MiB allocated
Compiler

Compiled 326 to 118 computations (63.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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