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

Time bar (total: 11.4s)

analyze0.0ms (0%)

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

Compiled 11 to 10 computations (9.1% saved)

sample1.3s (11.9%)

Memory
42.3MiB live, 1 619.1MiB allocated
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 533.0ms
ival-cos: 185.0ms (34.7% of total)
ival-sin: 168.0ms (31.5% of total)
ival-mult: 131.0ms (24.6% of total)
ival-add: 39.0ms (7.3% of total)
ival-true: 6.0ms (1.1% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

preprocess49.0ms (0.4%)

Memory
-25.3MiB live, 57.0MiB allocated
Algorithm
egg-herbie
Rules
168×associate-*r*
164×unsub-neg
142×associate-*l*
132×distribute-lft-neg-in
116×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03696
18190
214190
332390
449190
573390
690490
798790
8106690
9113290
10114690
11115190
12115390
089
1119
0118
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(+ (* x (cos y)) (* z (sin y)))
Outputs
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.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)))
(- (* z (sin y)) (* x (cos 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)))))
(- (* z (sin y)) (* x (cos y)))
(neg (+ (* x (cos y)) (* (neg z) (sin y))))
(- (* z (sin y)) (* x (cos 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)))

explain113.0ms (1%)

Memory
2.7MiB live, 191.4MiB 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: 32.0ms
ival-cos: 11.0ms (34.7% of total)
ival-sin: 11.0ms (34.7% of total)
ival-mult: 7.0ms (22.1% of total)
ival-add: 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
99.7%
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify4.0ms (0%)

Memory
6.3MiB live, 6.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z (sin.f64 y))
cost-diff0
(cos.f64 y)
cost-diff0
(*.f64 x (cos.f64 y))
cost-diff128
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Rules
*-lowering-*.f32
*-lowering-*.f64
accelerator-lowering-fma.f32
accelerator-lowering-fma.f64
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
11124
01123
Stop Event
iter limit
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 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)

localize33.0ms (0.3%)

Memory
18.1MiB live, 57.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
accuracy100.0%
(cos.f64 y)
accuracy99.8%
(*.f64 z (sin.f64 y))
accuracy99.8%
(*.f64 x (cos.f64 y))
Samples
25.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-cos: 6.0ms (39.2% of total)
ival-sin: 5.0ms (32.7% of total)
ival-mult: 3.0ms (19.6% of total)
ival-add: 1.0ms (6.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series16.0ms (0.1%)

Memory
-51.9MiB live, 13.8MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (cos y)>
#<alt (* z (sin y))>
Outputs
#<alt (* z (sin y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (sin y))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt x>
#<alt (+ x (* -1/2 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* y z)>
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
Calls

24 calls:

TimeVariablePointExpression
9.0ms
y
@0
(* x (cos y))
1.0ms
x
@0
(+ (* x (cos y)) (* z (sin y)))
1.0ms
z
@inf
(+ (* x (cos y)) (* z (sin y)))
1.0ms
z
@0
(+ (* x (cos y)) (* z (sin y)))
1.0ms
y
@-inf
(+ (* x (cos y)) (* z (sin y)))

rewrite475.0ms (4.2%)

Memory
39.0MiB live, 583.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
11 480×accelerator-lowering-fma.f32
11 480×accelerator-lowering-fma.f64
4 168×*-lowering-*.f32
4 168×*-lowering-*.f64
4 068×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
12419
218019
3185319
0839518
Stop Event
iter limit
node limit
Counts
4 → 176
Calls
Call 1
Inputs
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(cos y)
(* z (sin y))
Outputs
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (neg.f64 (*.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(+.f64 (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) #s(literal -1 binary64)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (*.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(-.f64 (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 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 (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)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (*.f64 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))))))) (neg.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 y) (neg.f64 x) (*.f64 z (sin.f64 y)))) (neg.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (*.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)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (*.f64 (fma.f64 (*.f64 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 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))))))
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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)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) (-.f64 (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) #s(literal 2 binary64)))) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))))
(*.f64 (/.f64 (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)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 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)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.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 (sin.f64 y) (*.f64 (*.f64 x (cos.f64 y)) z)) #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)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(exp.f64 (log.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cos.f64 y))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (cos.f64 y))))
(cos.f64 y)
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) (neg.f64 z)))
(neg.f64 (*.f64 (sin.f64 y) (neg.f64 z)))
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) (neg.f64 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))))

simplify378.0ms (3.3%)

Memory
1.3MiB live, 593.4MiB allocated
Algorithm
egg-herbie
Rules
14 080×accelerator-lowering-fma.f32
14 080×accelerator-lowering-fma.f64
3 812×*-lowering-*.f32
3 812×*-lowering-*.f64
2 968×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

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

eval44.0ms (0.4%)

Memory
14.5MiB live, 53.0MiB allocated
Compiler

Compiled 9 973 to 554 computations (94.4% saved)

prune73.0ms (0.6%)

Memory
-15.8MiB live, 82.3MiB allocated
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New25715272
Fresh000
Picked101
Done000
Total25815273
Accuracy
99.9%
Counts
273 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.9%
(fma.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
99.7%
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
51.1%
(fma.f64 z y x)
49.6%
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x)
49.8%
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x)
66.9%
(fma.f64 x (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
44.4%
(/.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 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
44.3%
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (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))))))))
99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
75.0%
(+.f64 x (*.f64 z (sin.f64 y)))
44.4%
(*.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) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
49.4%
(*.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)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))) (/.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (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)))))))
39.4%
(*.f64 z (sin.f64 y))
62.0%
(*.f64 x (cos.f64 y))
38.5%
x
Compiler

Compiled 740 to 366 computations (50.5% saved)

simplify370.0ms (3.3%)

Memory
-23.7MiB live, 647.9MiB allocated
Algorithm
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) (-.f64 (*.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-diff128
(+.f64 x (*.f64 z (sin.f64 y)))
cost-diff0
(*.f64 (*.f64 z y) #s(literal -1/6 binary64))
cost-diff0
(fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64)))
cost-diff0
(fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z)
cost-diff0
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x)
cost-diff0
(cos.f64 y)
cost-diff0
(*.f64 x (cos.f64 y))
cost-diff0
(sin.f64 y)
cost-diff0
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
Rules
16 798×accelerator-lowering-fma.f32
16 798×accelerator-lowering-fma.f64
4 246×*-lowering-*.f32
4 246×*-lowering-*.f64
1 556×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036240
199236
2255236
3680236
42173232
54653230
08269215
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* (sin y) z) (* x (cos y)))
(sin y)
y
z
(* x (cos y))
x
(cos y)
x
(+ (* y (+ (* y (+ (* x -1/2) (* (* z y) -1/6))) z)) x)
y
(+ (* y (+ (* x -1/2) (* (* z y) -1/6))) z)
(+ (* x -1/2) (* (* z y) -1/6))
x
-1/2
(* (* z y) -1/6)
(* z y)
z
-1/6
(+ 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)))
(* x (cos y))
(cos y)
(* z (sin y))
(sin y)
Outputs
(+ (* (sin y) z) (* x (cos y)))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(sin y)
(sin.f64 y)
y
z
(* x (cos y))
(*.f64 x (cos.f64 y))
x
(cos y)
(cos.f64 y)
x
(+ (* y (+ (* y (+ (* x -1/2) (* (* z y) -1/6))) z)) x)
(fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) z) x)
y
(+ (* y (+ (* x -1/2) (* (* z y) -1/6))) z)
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) z)
(+ (* x -1/2) (* (* z y) -1/6))
(fma.f64 y (*.f64 z #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64)))
x
-1/2
#s(literal -1/2 binary64)
(* (* z y) -1/6)
(*.f64 (*.f64 y z) #s(literal -1/6 binary64))
(* z y)
(*.f64 y z)
z
-1/6
#s(literal -1/6 binary64)
(+ x (* z (sin y)))
(fma.f64 (sin.f64 y) z x)
x
(* z (sin y))
(*.f64 (sin.f64 y) z)
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 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.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 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))
1
#s(literal 1 binary64)
(- (* 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))
(cos y)
(cos.f64 y)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(sin y)
(sin.f64 y)

localize243.0ms (2.1%)

Memory
39.5MiB live, 346.6MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy99.1%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
accuracy88.5%
(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))))))
accuracy76.3%
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
accuracy52.7%
(*.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) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
accuracy100.0%
(+.f64 x (*.f64 z (sin.f64 y)))
accuracy100.0%
(sin.f64 y)
accuracy99.8%
(*.f64 z (sin.f64 y))
accuracy100.0%
(fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64)))
accuracy100.0%
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x)
accuracy99.9%
(fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z)
accuracy99.6%
(*.f64 (*.f64 z y) #s(literal -1/6 binary64))
accuracy100.0%
(sin.f64 y)
accuracy100.0%
(cos.f64 y)
accuracy99.9%
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
accuracy99.8%
(*.f64 x (cos.f64 y))
Samples
50.0ms42×2valid
50.0ms134×0valid
44.0ms75×1valid
5.0ms3valid
Compiler

Compiled 233 to 38 computations (83.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 120.0ms
ival-mult: 50.0ms (41.7% of total)
ival-cos: 25.0ms (20.8% of total)
ival-add: 13.0ms (10.8% of total)
ival-sin: 12.0ms (10% of total)
adjust: 7.0ms (5.8% of total)
ival-sub: 4.0ms (3.3% of total)
const: 4.0ms (3.3% of total)
ival-div: 3.0ms (2.5% of total)
ival-neg: 1.0ms (0.8% of total)
exact: 1.0ms (0.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series38.0ms (0.3%)

Memory
11.8MiB live, 86.3MiB allocated
Counts
14 → 372
Calls
Call 1
Inputs
#<alt (+ (* (sin y) z) (* x (cos y)))>
#<alt (sin y)>
#<alt (* x (cos y))>
#<alt (cos y)>
#<alt (+ (* y (+ (* y (+ (* x -1/2) (* (* z y) -1/6))) z)) x)>
#<alt (+ (* y (+ (* x -1/2) (* (* z y) -1/6))) z)>
#<alt (+ (* x -1/2) (* (* z y) -1/6))>
#<alt (* (* z y) -1/6)>
#<alt (+ x (* z (sin y)))>
#<alt (* z (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 x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (sin y))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* z (sin y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt x>
#<alt (+ x (* -1/2 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ 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) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2)))))>
#<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 (/ (+ (* -1/2 x) (/ z y)) y)) (* 1/6 z))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* 1/6 z))))>
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))>
#<alt (+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z)))))>
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#<alt (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))>
#<alt (+ (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (+ (* x (- (* x (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (+ (* x (- (* x (- (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))) (/ (* x (* (cos y) (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3))))))) (* z (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))>
#<alt (* x (- (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))))))>
#<alt (* x (- (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* z (* (sin y) (- (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3)))))) (* (pow x 3) (cos y)))))) (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))))))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* z (* (sin y) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* x (cos y))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x)))))>
#<alt (pow y 2)>
#<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

93 calls:

TimeVariablePointExpression
3.0ms
z
@0
(+ (* y (+ (* y (+ (* x -1/2) (* (* z y) -1/6))) z)) x)
3.0ms
y
@0
(+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))))
3.0ms
y
@inf
(* (+ (* (- 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)))))
2.0ms
x
@0
(+ (* y (+ (* y (+ (* x -1/2) (* (* z y) -1/6))) z)) x)
1.0ms
x
@-inf
(* (+ (* (- 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)))))

rewrite752.0ms (6.6%)

Memory
-43.3MiB live, 655.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 464×accelerator-lowering-fma.f32
6 464×accelerator-lowering-fma.f64
4 700×*-lowering-*.f32
4 700×*-lowering-*.f64
3 990×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036122
1219101
21928101
0828692
Stop Event
iter limit
node limit
Counts
14 → 595
Calls
Call 1
Inputs
(+ (* (sin y) z) (* x (cos y)))
(sin y)
(* x (cos y))
(cos y)
(+ (* y (+ (* y (+ (* x -1/2) (* (* z y) -1/6))) z)) x)
(+ (* y (+ (* x -1/2) (* (* z y) -1/6))) z)
(+ (* x -1/2) (* (* z y) -1/6))
(* (* z y) -1/6)
(+ x (* z (sin 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)))) (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)) (*.f64 (sin.f64 y) z))
(+.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) (*.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) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) (*.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) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)))))
(+.f64 (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
(+.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) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.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 (*.f64 (sin.f64 y) z) (*.f64 x (cos.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 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) (/.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)) (*.f64 (sin.f64 y) z))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64)) (-.f64 (neg.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 x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) (/.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (-.f64 (neg.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 x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64)) (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) (-.f64 (neg.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 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 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) (-.f64 (neg.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 x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) (*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) (*.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) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) (*.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) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)))))
(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) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
(/.f64 (-.f64 (*.f64 (*.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)) (*.f64 (sin.f64 y) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (*.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) (/.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) (-.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 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (*.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) (neg.f64 (/.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) (-.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 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (*.f64 x 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 z (*.f64 (sin.f64 y) (*.f64 x (cos.f64 y)))))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64))) (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) (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))) (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64)))))
(/.f64 (-.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 x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))
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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 1/4 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)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 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 #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 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) #s(literal 2 binary64))
(/.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 (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 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 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)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/8 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 (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)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (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) (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 (cos.f64 y) #s(literal 4 binary64)))
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y)))) #s(literal -2 binary64))
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(pow.f64 (sin.f64 y) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.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 (sin.f64 y) (sin.f64 y))
(*.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)))

simplify410.0ms (3.6%)

Memory
25.0MiB live, 694.2MiB allocated
Algorithm
egg-herbie
Rules
8 414×accelerator-lowering-fma.f32
8 414×accelerator-lowering-fma.f64
6 452×*-lowering-*.f32
6 452×*-lowering-*.f64
2 876×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05545536
119225342
270225326
082194886
Stop Event
iter limit
node limit
Counts
372 → 372
Calls
Call 1
Inputs
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
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(/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
(+ (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(+ (* x (- (* x (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(+ (* x (- (* x (- (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))) (/ (* x (* (cos y) (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3))))))) (* z (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))
(* x (- (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))))))
(* x (- (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* z (* (sin y) (- (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3)))))) (* (pow x 3) (cos y)))))) (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))))))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))))))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x)))))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* z (* (sin y) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* x (cos y))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x)))))
(pow y 2)
(* (pow 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
x
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y (+ z (* -1/2 (* x y)))))
(fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) z) x)
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal -1/6 binary64)))) z) x)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* z (sin y))
(*.f64 z (sin.f64 y))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
x
(+ x (* -1/2 (* x (pow y 2))))
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal 1/24 binary64))) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 x #s(literal 1/24 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))) (*.f64 x #s(literal -1/2 binary64))) x)
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 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 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
x
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y (+ z (* -1/2 (* x y)))))
(fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) z) x)
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal -1/6 binary64)))) z) x)
(* -1/6 (* (pow y 3) z))
(*.f64 z (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 z)))
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z #s(literal -1/6 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2)))))
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (/.f64 #s(literal -1/2 binary64) y) (fma.f64 z #s(literal -1/6 binary64) (/.f64 z (*.f64 y y)))))
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (+ (/ x (pow y 3)) (/ z (pow y 2))))))
(*.f64 (*.f64 y (*.f64 y y)) (+.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) y) (fma.f64 z #s(literal -1/6 binary64) (/.f64 z (*.f64 y y)))) (/.f64 x (*.f64 y (*.f64 y y)))))
(* -1/6 (* (pow y 3) z))
(*.f64 z (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* -1 (* (pow y 3) (+ (* 1/6 z) (* 1/2 (/ x y)))))
(*.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (*.f64 z #s(literal 1/6 binary64))) (*.f64 (*.f64 y (neg.f64 y)) y))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 x) (/ z y)) y)) (* 1/6 z))))
(*.f64 (-.f64 (*.f64 z #s(literal 1/6 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 z y)) y)) (*.f64 (*.f64 y (neg.f64 y)) y))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* 1/6 z))))
(*.f64 (-.f64 (*.f64 z #s(literal 1/6 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (+.f64 z (/.f64 x y)) y)) y)) (*.f64 (*.f64 y (neg.f64 y)) y))
(* y (+ z (* -1/6 (* (pow y 2) z))))
(*.f64 y (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))) z))
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z)))))
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (fma.f64 y (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))) z) x))
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z)))))
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (fma.f64 y (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))) z) x))
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z)))))
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (fma.f64 y (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))) z) x))
(* x (+ 1 (* -1/2 (pow y 2))))
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x)
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x))))
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (fma.f64 (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))) z) (/.f64 y x) #s(literal 1 binary64))))
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x))))
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (fma.f64 (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))) z) (/.f64 y x) #s(literal 1 binary64))))
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x))))
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (fma.f64 (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))) z) (/.f64 y x) #s(literal 1 binary64))))
(* -1 (* x (- (* 1/2 (pow y 2)) 1)))
(fma.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (neg.f64 x) x)
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1)))
(fma.f64 (fma.f64 (neg.f64 y) (/.f64 (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))) z) x) (*.f64 y (*.f64 y #s(literal 1/2 binary64)))) (neg.f64 x) x)
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1)))
(fma.f64 (fma.f64 (neg.f64 y) (/.f64 (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))) z) x) (*.f64 y (*.f64 y #s(literal 1/2 binary64)))) (neg.f64 x) x)
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1)))
(fma.f64 (fma.f64 (neg.f64 y) (/.f64 (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))) z) x) (*.f64 y (*.f64 y #s(literal 1/2 binary64)))) (neg.f64 x) x)
(+ x (* -1/2 (* x (pow y 2))))
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x)
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2)))))))
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (fma.f64 y (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))) z) x))
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2)))))))
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (fma.f64 y (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))) z) x))
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2)))))))
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (fma.f64 y (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))) z) x))
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(*.f64 y (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))) z))
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z))))
(*.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 y y)) z) (fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 x z))))
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z))))
(*.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 y y)) z) (fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 x z))))
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z))))
(*.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 y y)) z) (fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 x z))))
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))
(*.f64 (*.f64 (neg.f64 y) z) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1)))))
(*.f64 (neg.f64 z) (fma.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) (/.f64 (fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x) (neg.f64 z))))
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(*.f64 x (fma.f64 z (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x)))))
(*.f64 x (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (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) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))))) x)) x)))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* z (* (sin y) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* x (cos y))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x)))))
(*.f64 x (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (fma.f64 z (*.f64 (*.f64 (*.f64 z z) (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))) (/.f64 (sin.f64 y) (*.f64 x (cos.f64 y)))) (*.f64 (*.f64 z z) (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))))) x)) x)))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/315 binary64) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(- 1/2 (* 1/2 (cos (* 2 y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (* 2 y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (* 2 y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (* 2 y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow y 2)))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 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))

eval170.0ms (1.5%)

Memory
-14.8MiB live, 301.8MiB allocated
Compiler

Compiled 43 872 to 2 179 computations (95% saved)

prune149.0ms (1.3%)

Memory
35.6MiB live, 308.4MiB allocated
Pruning

30 alts after pruning (27 fresh and 3 done)

PrunedKeptTotal
New1 036221 058
Fresh5510
Picked235
Done000
Total1 043301 073
Accuracy
100.0%
Counts
1 073 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.9%
(fma.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
99.7%
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
75.0%
(fma.f64 (sin.f64 y) z x)
71.5%
(fma.f64 z (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)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 x (cos.f64 y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
51.1%
(fma.f64 z y x)
49.9%
(fma.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z) x)
49.6%
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x)
36.3%
(fma.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) x)
99.0%
(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 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
52.0%
(fma.f64 x (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y))))
36.2%
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x)
44.3%
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (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))))))))
44.4%
(/.f64 (-.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 x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))
31.2%
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 x x)) (-.f64 (*.f64 (sin.f64 y) z) x))
49.7%
(+.f64 x (*.f64 z (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)))
49.8%
(+.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)))
52.2%
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (sin.f64 y) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
61.7%
(*.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)))
26.0%
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y)))
16.0%
(*.f64 (*.f64 (neg.f64 y) z) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))
88.2%
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
45.7%
(*.f64 z (fma.f64 x (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))))
2.9%
(*.f64 z (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))
39.4%
(*.f64 z (sin.f64 y))
16.0%
(*.f64 y (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))) z))
92.7%
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
91.9%
(*.f64 x (fma.f64 z (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (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)))))
92.1%
(*.f64 x (fma.f64 z (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))))
62.0%
(*.f64 x (cos.f64 y))
38.5%
x
Compiler

Compiled 1 310 to 736 computations (43.8% saved)

simplify386.0ms (3.4%)

Memory
0.7MiB live, 707.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff128
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
cost-diff128
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
cost-diff1408
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (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-diff6272
(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 (sin.f64 y) x)
cost-diff0
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
cost-diff704
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
cost-diff0
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
cost-diff0
(*.f64 y y)
cost-diff0
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)
cost-diff0
(fma.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z) x)
cost-diff0
(fma.f64 z y x)
cost-diff0
(cos.f64 (*.f64 y #s(literal -2 binary64)))
cost-diff0
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
cost-diff0
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))
cost-diff13888
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
Rules
12 748×accelerator-lowering-fma.f32
12 748×accelerator-lowering-fma.f64
4 170×*-lowering-*.f32
4 170×*-lowering-*.f64
2 542×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053386
1148381
2407379
31213366
43722358
56883358
08245333
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (* (* (sin y) (+ (* 1/2 (cos (* y -2))) 1/2)) (/ z (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)
(* (* (sin y) (+ (* 1/2 (cos (* y -2))) 1/2)) (/ z (pow (cos y) 2)))
(* (sin y) (+ (* 1/2 (cos (* y -2))) 1/2))
(sin y)
(/ z (pow (cos y) 2))
z
(pow (cos y) 2)
2
(+ (* z y) x)
z
y
x
(+ (* y (+ (* (* y y) (* z (+ (* (* y y) 1/120) -1/6))) z)) x)
y
(+ (* (* y y) (* z (+ (* (* y y) 1/120) -1/6))) z)
(* y y)
(* z (+ (* (* y y) 1/120) -1/6))
z
(+ (* (* y y) 1/120) -1/6)
1/120
-1/6
x
(* x (+ (* z (/ (sin y) x)) (cos y)))
x
(+ (* z (/ (sin y) x)) (cos y))
z
(/ (sin y) x)
(sin y)
y
(cos y)
(/ (/ 1 (- (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 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
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
x
(cos y)
y
(* z (sin y))
z
(sin y)
(/ 1 (+ (* (- 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))))))
(- 1/2 (* 1/2 (cos (+ y y))))
1/2
(* 1/2 (cos (+ y y)))
(cos (+ y y))
(+ y y)
(neg (* z z))
(* z z)
(* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))
(* x x)
(+ 1/2 (* 1/2 (cos (+ y y))))
Outputs
(+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (* (* (sin y) (+ (* 1/2 (cos (* y -2))) 1/2)) (/ z (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 (sin.f64 y) (/.f64 z (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)
(* (* (sin y) (+ (* 1/2 (cos (* y -2))) 1/2)) (/ z (pow (cos y) 2)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 (sin.f64 y) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(* (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)) (sin.f64 y))
(sin y)
(sin.f64 y)
(/ z (pow (cos y) 2))
(/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
z
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ (* z y) x)
(fma.f64 y z x)
z
y
x
(+ (* y (+ (* (* y y) (* z (+ (* (* y y) 1/120) -1/6))) z)) x)
(fma.f64 y (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y z)) z) x)
y
(+ (* (* y y) (* z (+ (* (* y y) 1/120) -1/6))) z)
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y z)) z)
(* y y)
(*.f64 y y)
(* z (+ (* (* y y) 1/120) -1/6))
(*.f64 z (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
z
(+ (* (* y y) 1/120) -1/6)
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
1/120
#s(literal 1/120 binary64)
-1/6
#s(literal -1/6 binary64)
x
(* x (+ (* z (/ (sin y) x)) (cos y)))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))
x
(+ (* z (/ (sin y) x)) (cos y))
(fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))
z
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(sin y)
(sin.f64 y)
y
(cos y)
(cos.f64 y)
(/ (/ 1 (- (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 z z (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (fma.f64 z (neg.f64 z) (*.f64 x x)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))
1
#s(literal 1 binary64)
(- (* x (cos y)) (* z (sin y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))
(* x (cos y))
(*.f64 x (cos.f64 y))
x
(cos y)
(cos.f64 y)
y
(* z (sin y))
(*.f64 (sin.f64 y) z)
z
(sin y)
(sin.f64 y)
(/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 z z (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (fma.f64 z (neg.f64 z) (*.f64 x x)))))
(+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 z z (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (fma.f64 z (neg.f64 z) (*.f64 x x))))
(- 1/2 (* 1/2 (cos (+ y y))))
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #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)
(neg (* z z))
(*.f64 z (neg.f64 z))
(* z z)
(*.f64 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)
(+ 1/2 (* 1/2 (cos (+ y y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))

localize465.0ms (4.1%)

Memory
-22.1MiB live, 545.4MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.1%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
accuracy88.5%
(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))))))
accuracy76.3%
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
accuracy53.3%
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (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))))))))
accuracy100.0%
(cos.f64 y)
accuracy99.9%
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
accuracy99.8%
(/.f64 (sin.f64 y) x)
accuracy92.8%
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
accuracy100.0%
(fma.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z) x)
accuracy100.0%
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)
accuracy99.3%
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
accuracy92.0%
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
accuracy100.0%
(fma.f64 z y x)
accuracy99.7%
(*.f64 (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z (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))
accuracy99.1%
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
Samples
221.0ms134×0valid
88.0ms42×2valid
68.0ms75×1valid
6.0ms3valid
Compiler

Compiled 368 to 55 computations (85.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 345.0ms
ival-mult: 183.0ms (53.1% of total)
adjust: 55.0ms (15.9% of total)
ival-cos: 53.0ms (15.4% of total)
ival-add: 16.0ms (4.6% of total)
ival-div: 14.0ms (4.1% of total)
const: 8.0ms (2.3% of total)
ival-sin: 7.0ms (2% of total)
ival-sub: 4.0ms (1.2% of total)
ival-pow2: 3.0ms (0.9% of total)
ival-neg: 1.0ms (0.3% of total)
exact: 1.0ms (0.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series80.0ms (0.7%)

Memory
5.6MiB live, 78.6MiB allocated
Counts
21 → 468
Calls
Call 1
Inputs
#<alt (+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (* (* (sin y) (+ (* 1/2 (cos (* y -2))) 1/2)) (/ z (pow (cos y) 2))))>
#<alt (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))>
#<alt (+ (* 1/2 (cos (* y -2))) 1/2)>
#<alt (cos (* y -2))>
#<alt (+ (* z y) x)>
#<alt (+ (* y (+ (* (* y y) (* z (+ (* (* y y) 1/120) -1/6))) z)) x)>
#<alt (+ (* (* y y) (* z (+ (* (* y y) 1/120) -1/6))) z)>
#<alt (* y y)>
#<alt (* z (+ (* (* y y) 1/120) -1/6))>
#<alt (* x (+ (* z (/ (sin y) x)) (cos y)))>
#<alt (+ (* z (/ (sin y) x)) (cos y))>
#<alt (/ (sin y) x)>
#<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 (- (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 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))))>
#<alt (+ 1/2 (* 1/2 (cos (+ y y))))>
#<alt (pow (cos y) 2)>
#<alt (* (* (sin y) (+ (* 1/2 (cos (* y -2))) 1/2)) (/ z (pow (cos y) 2)))>
#<alt (+ (* (* y y) 1/120) -1/6)>
#<alt (cos y)>
Outputs
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))>
#<alt (* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))>
#<alt (* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))>
#<alt (* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))>
#<alt (* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (+ z (* y (- (* -1 x) (* -1/2 x))))))>
#<alt (+ x (* y (+ z (* y (- (+ (* -1 x) (* y (- (* -7/6 z) (* -1 z)))) (* -1/2 x))))))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))>
#<alt (* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))>
#<alt (* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))>
#<alt 1>
#<alt (+ 1 (* -1 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt 1>
#<alt (+ 1 (* -2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (* y z)>
#<alt (* z (+ y (/ x z)))>
#<alt (* z (+ y (/ x z)))>
#<alt (* z (+ y (/ x z)))>
#<alt (* y z)>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (* y z)>
#<alt (* y (+ z (/ x y)))>
#<alt (* y (+ z (/ x y)))>
#<alt (* y (+ z (/ x y)))>
#<alt (* y z)>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))>
#<alt (* y z)>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt x>
#<alt (* x (+ 1 (/ (* y z) x)))>
#<alt (* x (+ 1 (/ (* y z) x)))>
#<alt (* x (+ 1 (/ (* y z) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1)))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (+ z (* -1/6 (* (pow y 2) z)))))>
#<alt (+ x (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))))>
#<alt (* 1/120 (* (pow y 5) z))>
#<alt (* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))>
#<alt (* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))>
#<alt (* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (+ (/ x (pow y 5)) (/ z (pow y 4))))))>
#<alt (* 1/120 (* (pow y 5) z))>
#<alt (* -1 (* (pow y 5) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2))))))>
#<alt (* -1 (* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2)))))))>
#<alt (* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 5))) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2))))))))>
#<alt x>
#<alt (+ x (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))))>
#<alt (+ x (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))))>
#<alt (+ x (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))))>
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* z (+ (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (/ x z)))>
#<alt (* z (+ (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (/ x z)))>
#<alt (* z (+ (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (/ x z)))>
#<alt (* -1 (* y (* z (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* y (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* y (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* y (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))))>
#<alt (* y (+ z (* (pow y 2) (* z (- (* 1/120 (pow y 2)) 1/6)))))>
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#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))>
#<alt (+ (* z (- (* z (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (+ (* z (- (* z (- (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))) (/ (* z (* (sin y) (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3))))))) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))>
#<alt (* z (- (+ (* 1/2 (/ 1 (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))>
#<alt (* z (- (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y)))) (* 1/2 (/ 1 (sin y)))) (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))))>
#<alt (* z (- (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y)))) (+ (* 1/2 (/ 1 (sin y))) (/ (* x (* (cos y) (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))))) (* (pow z 3) (sin y))))) (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))))>
#<alt (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))))))>
#<alt (* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) z)) (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)))))>
#<alt (* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (* (cos y) (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))))) (* z (sin y))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) z)) (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* -1/3 (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt 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 (* y z)>
#<alt (* y (+ z (* (pow y 2) (- (* -7/6 z) (* -1 z)))))>
#<alt (* y (+ z (* (pow y 2) (- (+ (* -7/6 z) (* (pow y 2) (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z))))) (* -1 z)))))>
#<alt (* y (+ z (* (pow y 2) (- (+ (* -7/6 z) (* (pow y 2) (- (+ (* 61/120 z) (* (pow y 2) (- (* -547/5040 z) (+ (* -1 (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z)))) (+ (* -2/45 z) (* 1/3 (- (* -7/6 z) (* -1 z)))))))) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z))))) (* -1 z)))))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt -1/6>
#<alt (- (* 1/120 (pow y 2)) 1/6)>
#<alt (- (* 1/120 (pow y 2)) 1/6)>
#<alt (- (* 1/120 (pow y 2)) 1/6)>
#<alt (* 1/120 (pow y 2))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* 1/120 (pow y 2))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt 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)>
Calls

117 calls:

TimeVariablePointExpression
36.0ms
y
@inf
(* y y)
7.0ms
y
@-inf
(+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (* (* (sin y) (+ (* 1/2 (cos (* y -2))) 1/2)) (/ z (pow (cos y) 2))))
2.0ms
y
@inf
(+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (* (* (sin y) (+ (* 1/2 (cos (* y -2))) 1/2)) (/ z (pow (cos y) 2))))
2.0ms
x
@0
(+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (* (* (sin y) (+ (* 1/2 (cos (* y -2))) 1/2)) (/ z (pow (cos y) 2))))
1.0ms
z
@0
(* (* (sin y) (+ (* 1/2 (cos (* y -2))) 1/2)) (/ z (pow (cos y) 2)))

rewrite604.0ms (5.3%)

Memory
-99.6MiB live, 962.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 014×*-lowering-*.f32
5 014×*-lowering-*.f64
3 904×accelerator-lowering-fma.f32
3 904×accelerator-lowering-fma.f64
3 850×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053249
1329193
22806193
08944176
Stop Event
iter limit
node limit
Counts
21 → 824
Calls
Call 1
Inputs
(+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (* (* (sin y) (+ (* 1/2 (cos (* y -2))) 1/2)) (/ z (pow (cos y) 2))))
(/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))
(+ (* 1/2 (cos (* y -2))) 1/2)
(cos (* y -2))
(+ (* z y) x)
(+ (* y (+ (* (* y y) (* z (+ (* (* y y) 1/120) -1/6))) z)) x)
(+ (* (* y y) (* z (+ (* (* y y) 1/120) -1/6))) z)
(* y y)
(* z (+ (* (* y y) 1/120) -1/6))
(* x (+ (* z (/ (sin y) x)) (cos y)))
(+ (* z (/ (sin y) x)) (cos y))
(/ (sin y) x)
(sin 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 (+ (* (- 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))))
(pow (cos y) 2)
(* (* (sin y) (+ (* 1/2 (cos (* y -2))) 1/2)) (/ z (pow (cos y) 2)))
(+ (* (* y y) 1/120) -1/6)
(cos 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)) (/.f64 (*.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) z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(+.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (sin.f64 y) z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (sin.f64 y) z)) (cos.f64 y))) (cos.f64 y))) (/.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (sin.f64 y) z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (sin.f64 y) z)) (cos.f64 y))) (cos.f64 y))))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (sin.f64 y) z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) x) (/.f64 (*.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) z)) (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 (sin.f64 y) (/.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) x (/.f64 (*.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) z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(fma.f64 (sin.f64 y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (/.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (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 z (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)) (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)) (/.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (sin.f64 y) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(fma.f64 (*.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) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(fma.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (sin.f64 y) z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (cos.f64 y)) (/.f64 z (cos.f64 y)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
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(cos.f64 y)
(pow.f64 (cos.f64 y) #s(literal 1 binary64))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 1 binary64)))

simplify543.0ms (4.8%)

Memory
37.5MiB live, 826.7MiB allocated
Algorithm
egg-herbie
Rules
7 890×accelerator-lowering-fma.f32
7 890×accelerator-lowering-fma.f64
6 440×*-lowering-*.f32
6 440×*-lowering-*.f64
3 020×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06177392
121507193
272247122
081446539
Stop Event
iter limit
node limit
Counts
468 → 468
Calls
Call 1
Inputs
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))
x
(+ x (* y z))
(+ x (* y (+ z (* y (- (* -1 x) (* -1/2 x))))))
(+ x (* y (+ z (* y (- (+ (* -1 x) (* y (- (* -7/6 z) (* -1 z)))) (* -1/2 x))))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))
(* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))
(* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
1
(+ 1 (* -2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(* y z)
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(* y z)
(* y (+ z (/ x y)))
(* y (+ z (/ x y)))
(* y (+ z (/ x y)))
(* y z)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* y z)
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
x
(* x (+ 1 (/ (* y z) x)))
(* x (+ 1 (/ (* y z) x)))
(* x (+ 1 (/ (* y z) x)))
x
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/6 (* (pow y 2) z)))))
(+ x (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))))
(* 1/120 (* (pow y 5) z))
(* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))
(* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))
(* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (+ (/ x (pow y 5)) (/ z (pow y 4))))))
(* 1/120 (* (pow y 5) z))
(* -1 (* (pow y 5) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2))))))
(* -1 (* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2)))))))
(* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 5))) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2))))))))
x
(+ x (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))))
(+ x (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))))
(+ x (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))))
(* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(* z (+ (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (/ x z)))
(* z (+ (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (/ x z)))
(* z (+ (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (/ x z)))
(* -1 (* y (* z (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))))
(* -1 (* z (+ (* -1 (/ x z)) (* y (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))))
(* -1 (* z (+ (* -1 (/ x z)) (* y (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))))
(* -1 (* z (+ (* -1 (/ x z)) (* y (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))))
(* y (+ z (* (pow y 2) (* z (- (* 1/120 (pow y 2)) 1/6)))))
(+ x (* y (+ z (* (pow y 2) (* z (- (* 1/120 (pow y 2)) 1/6))))))
(+ x (* y (+ z (* (pow y 2) (* z (- (* 1/120 (pow y 2)) 1/6))))))
(+ x (* y (+ z (* (pow y 2) (* z (- (* 1/120 (pow y 2)) 1/6))))))
x
(* x (+ 1 (/ (* y (+ z (* (pow y 2) (* z (- (* 1/120 (pow y 2)) 1/6))))) x)))
(* x (+ 1 (/ (* y (+ z (* (pow y 2) (* z (- (* 1/120 (pow y 2)) 1/6))))) x)))
(* x (+ 1 (/ (* y (+ z (* (pow y 2) (* z (- (* 1/120 (pow y 2)) 1/6))))) x)))
x
(* -1 (* x (- (* -1 (/ (* y (+ z (* (pow y 2) (* z (- (* 1/120 (pow y 2)) 1/6))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y (+ z (* (pow y 2) (* z (- (* 1/120 (pow y 2)) 1/6))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y (+ z (* (pow y 2) (* z (- (* 1/120 (pow y 2)) 1/6))))) x)) 1)))
z
(+ z (* -1/6 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))
(* 1/120 (* (pow y 4) z))
(* (pow y 4) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))
(* (pow y 4) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))
(* (pow y 4) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))
(* 1/120 (* (pow y 4) z))
(* (pow y 4) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))
(* (pow y 4) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))
(* (pow y 4) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))
(* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))
(* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))
(* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))
(* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* z (- (* 1/120 (pow y 2)) 1/6))
(* z (- (* 1/120 (pow y 2)) 1/6))
(* z (- (* 1/120 (pow y 2)) 1/6))
(* z (- (* 1/120 (pow y 2)) 1/6))
(* z (- (* 1/120 (pow y 2)) 1/6))
(* z (- (* 1/120 (pow y 2)) 1/6))
(* z (- (* 1/120 (pow y 2)) 1/6))
(* z (- (* 1/120 (pow y 2)) 1/6))
(* z (- (* 1/120 (pow y 2)) 1/6))
(* z (- (* 1/120 (pow y 2)) 1/6))
(* z (- (* 1/120 (pow y 2)) 1/6))
(* z (- (* 1/120 (pow y 2)) 1/6))
(* -1/6 z)
(+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))
(+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))
(+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))
(* 1/120 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))
(* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))
(* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))
(* 1/120 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))
(* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))
(* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(cos y)
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(/ (* z (sin y)) x)
(* z (+ (/ (cos y) z) (/ (sin y) x)))
(* z (+ (/ (cos y) z) (/ (sin y) x)))
(* z (+ (/ (cos y) z) (/ (sin y) x)))
(/ (* z (sin y)) x)
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
1
(+ 1 (/ (* y z) x))
(+ 1 (* y (+ (* -1/2 y) (/ z x))))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* y z) x)) 1/2)) (/ 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))
(/ (* z (sin y)) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(cos y)
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(cos y)
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(/ y x)
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
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)
(pow x 2)
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (* -1 (pow z 2)))) (pow x 2))
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* 1/3 (pow x 2)) (* 1/3 (pow z 2))))))) (pow x 2))
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* 1/3 (pow x 2)) (+ (* 1/3 (pow z 2)) (* (pow y 2) (+ (* -2/45 (pow x 2)) (* -2/45 (pow z 2)))))))))) (pow x 2))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow z 2) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))))
(* (pow z 2) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))))
(* (pow z 2) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow z 2) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))))
(* (pow z 2) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))))
(* (pow z 2) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y))))))
(/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
(+ (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(+ (* x (- (* x (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(+ (* x (- (* x (- (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))) (/ (* x (* (cos y) (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3))))))) (* z (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))
(* x (- (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))))))
(* x (- (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* z (* (sin y) (- (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3)))))) (* (pow x 3) (cos y)))))) (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))))))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))))))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x)))))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* z (* (sin y) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* x (cos y))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x)))))
x
(+ x (* y z))
(+ x (* y (- (* y (- (* -1 x) (* -1/2 x))) (* -1 z))))
(+ x (* y (- (* y (- (+ (* -1 x) (* -1 (* y (+ (* -1 (/ (* z (- (* -1 x) (* -1/2 x))) x)) (+ (* -1/2 z) (* 1/6 z)))))) (* -1/2 x))) (* -1 z))))
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (- (* x (cos y)) (* z (sin y))))
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (- (* x (cos y)) (* z (sin y))))
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (- (* x (cos y)) (* z (sin y))))
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (- (* x (cos y)) (* z (sin y))))
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* x (cos y)) (* z (sin y))))
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* x (cos y)) (* z (sin y))))
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* x (cos y)) (* z (sin y))))
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* x (cos y)) (* z (sin y))))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+ (* z (- (* z (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+ (* z (- (* z (- (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))) (/ (* z (* (sin y) (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3))))))) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
(* z (- (+ (* 1/2 (/ 1 (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))
(* z (- (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y)))) (* 1/2 (/ 1 (sin y)))) (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))))
(* z (- (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y)))) (+ (* 1/2 (/ 1 (sin y))) (/ (* x (* (cos y) (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))))) (* (pow z 3) (sin y))))) (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))))
(/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
(* -1 (* z (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))))))
(* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) z)) (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)))))
(* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (* (cos y) (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))))) (* z (sin y))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) z)) (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)))))
(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)))))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(* y z)
(* y (+ z (* (pow y 2) (- (* -7/6 z) (* -1 z)))))
(* y (+ z (* (pow y 2) (- (+ (* -7/6 z) (* (pow y 2) (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z))))) (* -1 z)))))
(* y (+ z (* (pow y 2) (- (+ (* -7/6 z) (* (pow y 2) (- (+ (* 61/120 z) (* (pow y 2) (- (* -547/5040 z) (+ (* -1 (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z)))) (+ (* -2/45 z) (* 1/3 (- (* -7/6 z) (* -1 z)))))))) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z))))) (* -1 z)))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
-1/6
(- (* 1/120 (pow y 2)) 1/6)
(- (* 1/120 (pow y 2)) 1/6)
(- (* 1/120 (pow y 2)) 1/6)
(* 1/120 (pow y 2))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 1/120 (pow y 2))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
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)
Outputs
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(*.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 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(fma.f64 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))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(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) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
(+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(fma.f64 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 (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))
(*.f64 x (fma.f64 z (*.f64 (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))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))
(*.f64 x (fma.f64 z (*.f64 (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))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))
(*.f64 x (fma.f64 z (*.f64 (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))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(*.f64 (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 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (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) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x))))))
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(*.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)))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(*.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)))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(*.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)))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(*.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)))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(*.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)))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(*.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)))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(*.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)))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(*.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)))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(*.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)))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(*.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)))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(*.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)))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(*.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)))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(*.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)))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(*.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)))))
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow y 2)) 1/6)
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(- (* 1/120 (pow y 2)) 1/6)
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(- (* 1/120 (pow y 2)) 1/6)
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(* 1/120 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* 1/120 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y))))
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 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)

eval238.0ms (2.1%)

Memory
-35.8MiB live, 504.1MiB allocated
Compiler

Compiled 55 326 to 3 700 computations (93.3% saved)

prune240.0ms (2.1%)

Memory
-6.6MiB live, 409.8MiB allocated
Pruning

40 alts after pruning (36 fresh and 4 done)

PrunedKeptTotal
New1 420231 443
Fresh91322
Picked415
Done033
Total1 433401 473
Accuracy
100.0%
Counts
1 473 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(fma.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 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
99.3%
(fma.f64 (/.f64 z (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)) (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)))
49.8%
(fma.f64 (*.f64 z y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x)
99.7%
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
75.0%
(fma.f64 (sin.f64 y) z x)
52.0%
(fma.f64 z (/.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 y)) (*.f64 x (*.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))))
99.0%
(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) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
51.1%
(fma.f64 z y x)
49.6%
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x)
36.3%
(fma.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) x)
79.1%
(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 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z #s(literal 1 binary64))))
36.2%
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x)
74.5%
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
15.4%
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))))
33.8%
(/.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 x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
31.2%
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 x x)) (-.f64 (*.f64 (sin.f64 y) z) x))
26.8%
(/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x))
51.0%
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) x) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 x x))))
15.3%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z)))))))
49.7%
(+.f64 x (*.f64 z (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)))
49.8%
(+.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)))
52.2%
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (sin.f64 y) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
90.1%
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x)
26.0%
(*.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y)))
61.7%
(*.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)))
26.7%
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))
16.0%
(*.f64 (*.f64 (neg.f64 y) z) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))
62.0%
(*.f64 (cos.f64 y) x)
16.1%
(*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))
88.2%
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
45.5%
(*.f64 z (+.f64 y (/.f64 x z)))
2.9%
(*.f64 z (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))
39.4%
(*.f64 z (sin.f64 y))
16.5%
(*.f64 z y)
16.0%
(*.f64 y (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))) z))
38.6%
(*.f64 y (+.f64 z (/.f64 x y)))
67.9%
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) #s(literal 1 binary64)))
49.5%
(*.f64 x (fma.f64 z (/.f64 y x) #s(literal 1 binary64)))
61.6%
(*.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))))
38.5%
x
Compiler

Compiled 1 491 to 854 computations (42.7% saved)

simplify217.0ms (1.9%)

Memory
29.9MiB live, 417.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y #s(literal -2 binary64))
cost-diff0
(fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
cost-diff0
(*.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y)))
cost-diff128
(cos.f64 (*.f64 y #s(literal -2 binary64)))
cost-diff0
(-.f64 x (*.f64 y z))
cost-diff0
(/.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))))
cost-diff320
(fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z)))))))
cost-diff0
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 (neg.f64 y) z)
cost-diff128
(*.f64 (*.f64 (neg.f64 y) z) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))
cost-diff0
(*.f64 z y)
cost-diff0
(*.f64 y #s(literal -2 binary64))
cost-diff0
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
cost-diff128
(cos.f64 (*.f64 y #s(literal -2 binary64)))
cost-diff7360
(fma.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 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
Rules
6 360×accelerator-lowering-fma.f32
6 360×accelerator-lowering-fma.f64
4 764×*-lowering-*.f32
4 764×*-lowering-*.f64
1 914×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048329
1114305
2276294
3892292
41857284
54298283
08291269
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* (+ (* 1/2 (cos (* y -2))) 1/2) (* (sin y) (/ z (+ (* 1/2 (cos (+ y y))) 1/2)))) (/ (* 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
(* (sin y) (/ z (+ (* 1/2 (cos (+ y y))) 1/2)))
(sin y)
(/ z (+ (* 1/2 (cos (+ y y))) 1/2))
z
(+ (* 1/2 (cos (+ y y))) 1/2)
(cos (+ y y))
(+ y y)
(/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y))
(* x (+ (* 1/2 (cos (* y -2))) 1/2))
x
(cos y)
(* z y)
z
y
(* (* (neg y) z) (+ (* (* y y) 1/6) -1))
(* (neg y) z)
(neg y)
y
z
(+ (* (* y y) 1/6) -1)
(* y y)
1/6
-1
(/ 1 (/ (+ (* x (- x (* y z))) (* y (* z (* y z)))) (+ (* x (* x x)) (* (* y z) (* y (* z (* y z)))))))
1
(/ (+ (* x (- x (* y z))) (* y (* z (* y z)))) (+ (* x (* x x)) (* (* y z) (* y (* z (* y z))))))
(+ (* x (- x (* y z))) (* y (* z (* y z))))
x
(- x (* y z))
(* y z)
y
z
(* y (* z (* y z)))
(* z (* y z))
(+ (* x (* x x)) (* (* y z) (* y (* z (* y z)))))
(* x x)
(* (* y z) (* y (* z (* y z))))
(* (+ (* (cos (* y -2)) -1/2) 1/2) (/ z (sin y)))
(+ (* (cos (* y -2)) -1/2) 1/2)
(cos (* y -2))
(* y -2)
y
-2
-1/2
1/2
(/ z (sin y))
z
(sin y)
Outputs
(+ (* (+ (* 1/2 (cos (* y -2))) 1/2) (* (sin y) (/ z (+ (* 1/2 (cos (+ y y))) 1/2)))) (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)))
(*.f64 (+.f64 (cos.f64 (+.f64 y y)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x (cos.f64 y)) (/.f64 (*.f64 (sin.f64 y) z) (+.f64 (cos.f64 (+.f64 y y)) #s(literal 1 binary64)))))
(+ (* 1/2 (cos (* y -2))) 1/2)
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(cos (* y -2))
(cos.f64 (+.f64 y y))
(* y -2)
(-.f64 (neg.f64 y) y)
y
-2
#s(literal -2 binary64)
(* (sin y) (/ z (+ (* 1/2 (cos (+ y y))) 1/2)))
(/.f64 (*.f64 (sin.f64 y) z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
(sin y)
(sin.f64 y)
(/ z (+ (* 1/2 (cos (+ y y))) 1/2))
(/.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
z
(+ (* 1/2 (cos (+ y y))) 1/2)
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
(cos (+ y y))
(cos.f64 (+.f64 y y))
(+ y y)
(+.f64 y y)
(/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #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 y)) x x))
x
(cos y)
(cos.f64 y)
(* z y)
(*.f64 y z)
z
y
(* (* (neg y) z) (+ (* (* y y) 1/6) -1))
(*.f64 y (fma.f64 (*.f64 y z) (*.f64 y #s(literal -1/6 binary64)) z))
(* (neg y) z)
(neg.f64 (*.f64 y z))
(neg y)
(neg.f64 y)
y
z
(+ (* (* y y) 1/6) -1)
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))
(* y y)
(*.f64 y y)
1/6
#s(literal 1/6 binary64)
-1
#s(literal -1 binary64)
(/ 1 (/ (+ (* x (- x (* y z))) (* y (* z (* y z)))) (+ (* x (* x x)) (* (* y z) (* y (* z (* y z)))))))
(/.f64 (fma.f64 z (*.f64 y (*.f64 y (*.f64 y (*.f64 z z)))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (-.f64 (*.f64 y z) x)) (*.f64 x x)))
1
#s(literal 1 binary64)
(/ (+ (* x (- x (* y z))) (* y (* z (* y z)))) (+ (* x (* x x)) (* (* y z) (* y (* z (* y z))))))
(/.f64 (fma.f64 y (*.f64 z (-.f64 (*.f64 y z) x)) (*.f64 x x)) (fma.f64 z (*.f64 y (*.f64 y (*.f64 y (*.f64 z z)))) (*.f64 x (*.f64 x x))))
(+ (* x (- x (* y z))) (* y (* z (* y z))))
(fma.f64 y (*.f64 z (-.f64 (*.f64 y z) x)) (*.f64 x x))
x
(- x (* y z))
(-.f64 x (*.f64 y z))
(* y z)
(*.f64 y z)
y
z
(* y (* z (* y z)))
(*.f64 y (*.f64 y (*.f64 z z)))
(* z (* y z))
(*.f64 y (*.f64 z z))
(+ (* x (* x x)) (* (* y z) (* y (* z (* y z)))))
(fma.f64 z (*.f64 y (*.f64 y (*.f64 y (*.f64 z z)))) (*.f64 x (*.f64 x x)))
(* x x)
(*.f64 x x)
(* (* y z) (* y (* z (* y z))))
(*.f64 y (*.f64 z (*.f64 y (*.f64 y (*.f64 z z)))))
(* (+ (* (cos (* y -2)) -1/2) 1/2) (/ z (sin y)))
(*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y)))
(+ (* (cos (* y -2)) -1/2) 1/2)
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(cos (* y -2))
(cos.f64 (+.f64 y y))
(* y -2)
(-.f64 (neg.f64 y) y)
y
-2
#s(literal -2 binary64)
-1/2
#s(literal -1/2 binary64)
1/2
#s(literal 1/2 binary64)
(/ z (sin y))
(/.f64 z (sin.f64 y))
z
(sin y)
(sin.f64 y)

localize283.0ms (2.5%)

Memory
-21.4MiB live, 419.0MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(cos.f64 (*.f64 y #s(literal -2 binary64)))
accuracy99.8%
(/.f64 z (sin.f64 y))
accuracy82.7%
(*.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y)))
accuracy76.3%
(fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
accuracy96.3%
(fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z))))
accuracy93.9%
(fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z)))))
accuracy93.6%
(*.f64 y (*.f64 z (*.f64 y z)))
accuracy28.6%
(/.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))))
accuracy100.0%
(*.f64 y y)
accuracy100.0%
(neg.f64 y)
accuracy99.9%
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))
accuracy98.1%
(*.f64 (*.f64 (neg.f64 y) z) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))
accuracy100.0%
(*.f64 z y)
accuracy99.7%
(*.f64 (sin.f64 y) (/.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
accuracy99.7%
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
accuracy99.1%
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
accuracy99.1%
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
Samples
87.0ms133×0valid
70.0ms73×2valid
23.0ms37×1valid
15.0ms12×3valid
2.0ms4valid
Compiler

Compiled 317 to 50 computations (84.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 152.0ms
ival-mult: 57.0ms (37.6% of total)
ival-cos: 33.0ms (21.8% of total)
ival-add: 25.0ms (16.5% of total)
ival-div: 12.0ms (7.9% of total)
adjust: 10.0ms (6.6% of total)
ival-sin: 6.0ms (4% of total)
const: 4.0ms (2.6% of total)
ival-sub: 2.0ms (1.3% of total)
exact: 1.0ms (0.7% of total)
ival-neg: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series63.0ms (0.6%)

Memory
-1.7MiB live, 117.1MiB allocated
Counts
22 → 504
Calls
Call 1
Inputs
#<alt (+ (* (+ (* 1/2 (cos (* y -2))) 1/2) (* (sin y) (/ z (+ (* 1/2 (cos (+ y y))) 1/2)))) (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)))>
#<alt (cos (* y -2))>
#<alt (+ (* 1/2 (cos (* y -2))) 1/2)>
#<alt (* y -2)>
#<alt (* z y)>
#<alt (* (* (neg y) z) (+ (* (* y y) 1/6) -1))>
#<alt (* (neg y) z)>
#<alt (neg y)>
#<alt (+ (* (* y y) 1/6) -1)>
#<alt (/ 1 (/ (+ (* x (- x (* y z))) (* y (* z (* y z)))) (+ (* x (* x x)) (* (* y z) (* y (* z (* y z)))))))>
#<alt (+ (* x (- x (* y z))) (* y (* z (* y z))))>
#<alt (/ (+ (* x (- x (* y z))) (* y (* z (* y z)))) (+ (* x (* x x)) (* (* y z) (* y (* z (* y z))))))>
#<alt (- x (* y z))>
#<alt (* (+ (* (cos (* y -2)) -1/2) 1/2) (/ z (sin y)))>
#<alt (+ (* (cos (* y -2)) -1/2) 1/2)>
#<alt (+ (* 1/2 (cos (+ y y))) 1/2)>
#<alt (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y))>
#<alt (* (sin y) (/ z (+ (* 1/2 (cos (+ y y))) 1/2)))>
#<alt (* y y)>
#<alt (* y (* z (* y z)))>
#<alt (+ (* x (* x x)) (* (* y z) (* y (* z (* y z)))))>
#<alt (/ z (sin y))>
Outputs
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (+ z (* y (- (* -1 x) (* -1/2 x))))))>
#<alt (+ x (* y (+ z (* y (- (+ (* -1 x) (* y (- (* -7/6 z) (* -1 z)))) (* -1/2 x))))))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))))))>
#<alt (* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))))))>
#<alt (* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))))))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))>
#<alt (* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))>
#<alt (* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))>
#<alt 1>
#<alt (+ 1 (* -2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt 1>
#<alt (+ 1 (* -1 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))>
#<alt (+ 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 (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))>
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))>
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))>
#<alt (* -1/6 (* (pow y 3) z))>
#<alt (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2))))>
#<alt (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2))))>
#<alt (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2))))>
#<alt (* -1/6 (* (pow y 3) z))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))))>
#<alt (* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))>
#<alt (* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))>
#<alt (* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))>
#<alt (* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))>
#<alt (* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))>
#<alt (* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))>
#<alt (* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))>
#<alt (* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))>
#<alt (* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))>
#<alt (* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))>
#<alt (* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))>
#<alt (* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<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 (* y z)>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt x>
#<alt (* x (+ 1 (/ (* y z) x)))>
#<alt (* x (- (+ 1 (* -1 (/ (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2))) (pow x 2)))) (* -1 (/ (* y z) x))))>
#<alt (* x (- (+ 1 (* -1 (/ (* y (* z (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2))))) (pow x 3)))) (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (/ (* (pow y 2) (pow z 2)) (pow x 2))))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (* (pow y 2) (pow z 2)) x)) (/ (* (pow y 2) (pow z 2)) x)) (* -1 (* y z))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* y (* z (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2))))) x)) (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2)))) x)) (* -1 (* y z))) x)) 1)))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (- (* -1 (* y (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x)))) (* -1 z))))>
#<alt (+ x (* y (- (* y (- (* -1 (/ (* y (* z (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x)))) x)) (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x)))) (* -1 z))))>
#<alt (* y z)>
#<alt (* y (+ z (/ x y)))>
#<alt (* y (- (+ z (* -1 (/ (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)) (pow y 2)))) (* -1 (/ x y))))>
#<alt (* y (- (+ z (* -1 (/ (* x (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))) (* (pow y 3) z)))) (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (* (pow y 2) z))) (/ (pow x 2) (* (pow y 2) z))))))>
#<alt (* y z)>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (pow x 2) (* y z))) (/ (pow x 2) (* y z))) (* -1 x)) y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))) (* y z))) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))) y)) (* -1 x)) y)))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* z (- (* -1 (* z (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x)))) (* -1 y))))>
#<alt (+ x (* z (- (* z (- (* -1 (/ (* y (* z (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x)))) x)) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x)))) (* -1 y))))>
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#<alt (/ z (sin y))>
#<alt (/ z (sin y))>
#<alt (/ z (sin y))>
#<alt (/ z (sin y))>
#<alt (/ z (sin y))>
#<alt (/ z (sin y))>
#<alt (/ z (sin y))>
#<alt (/ z (sin y))>
Calls

126 calls:

TimeVariablePointExpression
15.0ms
z
@0
(/ (+ (* x (- x (* y z))) (* y (* z (* y z)))) (+ (* x (* x x)) (* (* y z) (* y (* z (* y z))))))
4.0ms
x
@inf
(/ 1 (/ (+ (* x (- x (* y z))) (* y (* z (* y z)))) (+ (* x (* x x)) (* (* y z) (* y (* z (* y z)))))))
2.0ms
z
@inf
(/ 1 (/ (+ (* x (- x (* y z))) (* y (* z (* y z)))) (+ (* x (* x x)) (* (* y z) (* y (* z (* y z)))))))
1.0ms
x
@0
(/ 1 (/ (+ (* x (- x (* y z))) (* y (* z (* y z)))) (+ (* x (* x x)) (* (* y z) (* y (* z (* y z)))))))
1.0ms
z
@0
(* (* (neg y) z) (+ (* (* y y) 1/6) -1))

rewrite816.0ms (7.2%)

Memory
23.2MiB live, 835.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 168×accelerator-lowering-fma.f32
5 168×accelerator-lowering-fma.f64
4 848×*-lowering-*.f32
4 848×*-lowering-*.f64
4 322×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048247
1253207
22103207
08797195
Stop Event
iter limit
node limit
Counts
22 → 871
Calls
Call 1
Inputs
(+ (* (+ (* 1/2 (cos (* y -2))) 1/2) (* (sin y) (/ z (+ (* 1/2 (cos (+ y y))) 1/2)))) (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)))
(cos (* y -2))
(+ (* 1/2 (cos (* y -2))) 1/2)
(* y -2)
(* z y)
(* (* (neg y) z) (+ (* (* y y) 1/6) -1))
(* (neg y) z)
(neg y)
(+ (* (* y y) 1/6) -1)
(/ 1 (/ (+ (* x (- x (* y z))) (* y (* z (* y z)))) (+ (* x (* x x)) (* (* y z) (* y (* z (* y z)))))))
(+ (* x (- x (* y z))) (* y (* z (* y z))))
(/ (+ (* x (- x (* y z))) (* y (* z (* y z)))) (+ (* x (* x x)) (* (* y z) (* y (* z (* y z))))))
(- x (* y z))
(* (+ (* (cos (* y -2)) -1/2) 1/2) (/ z (sin y)))
(+ (* (cos (* y -2)) -1/2) 1/2)
(+ (* 1/2 (cos (+ y y))) 1/2)
(/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y))
(* (sin y) (/ z (+ (* 1/2 (cos (+ y y))) 1/2)))
(* y y)
(* y (* z (* y z)))
(+ (* x (* x x)) (* (* y z) (* y (* z (* y z)))))
(/ z (sin y))
Outputs
(+.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (sin.f64 y) z)) (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 x (cos.f64 y))))
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (sin.f64 y) z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(-.f64 (/.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 (sin.f64 y) z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (sin.f64 y) z)) (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 x (cos.f64 y))))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (sin.f64 y) z)) (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 x (cos.f64 y))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (sin.f64 y) z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (/.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 (sin.f64 y) z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (sin.f64 y) z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 (sin.f64 y) z) (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 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 (*.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) z)) (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 (*.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) z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(fma.f64 (sin.f64 y) (*.f64 (/.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 (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))))
(fma.f64 (/.f64 z (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)) (sin.f64 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
(fma.f64 (/.f64 (*.f64 (sin.f64 y) z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (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))))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (sin.f64 y) z)) (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 (*.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) z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (sin.f64 y) z)) (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)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 y))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (sin.f64 y) z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (/.f64 (*.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) z)) (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 (*.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) z)) (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)) (sin.f64 y)) (/.f64 z (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 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 (*.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) z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (sin.f64 y) 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 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)) (/.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (sin.f64 y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) z) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
(fma.f64 (/.f64 (*.f64 (sin.f64 y) z) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 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 (cos.f64 (+.f64 y y)) #s(literal 1/4 binary64)))))) (*.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))))
(fma.f64 (/.f64 (*.f64 (sin.f64 y) z) (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))))) #s(literal -1/4 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 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 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)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (cos.f64 y)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (sin.f64 y) z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 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))) (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 (sin.f64 y) z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(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))) #s(literal -1 binary64)) (/.f64 x (cos.f64 y)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (sin.f64 y) z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (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 (sin.f64 y) z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (sin.f64 y) (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 #s(literal 1 binary64) z)) (*.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))))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) z)) (*.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))))
(fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (cos.f64 y)) (/.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 x (cos.f64 y))))
(fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (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))) (/.f64 z (/.f64 #s(literal 1 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 (cos.f64 (+.f64 y y)) #s(literal 1/4 binary64)))))) (*.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))))
(fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (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))))) #s(literal -1/4 binary64))) (/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
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(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z)
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simplify606.0ms (5.3%)

Memory
-33.0MiB live, 511.8MiB allocated
Algorithm
egg-herbie
Rules
9 716×accelerator-lowering-fma.f32
9 716×accelerator-lowering-fma.f64
5 696×*-lowering-*.f32
5 696×*-lowering-*.f64
2 844×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07075944
123025085
081804797
Stop Event
iter limit
node limit
Counts
504 → 504
Calls
Call 1
Inputs
x
(+ x (* y z))
(+ x (* y (+ z (* y (- (* -1 x) (* -1/2 x))))))
(+ x (* y (+ z (* y (- (+ (* -1 x) (* y (- (* -7/6 z) (* -1 z)))) (* -1/2 x))))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))
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(* 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)))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 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))
(* (pow y 2) (pow z 2))
(* (pow y 3) (pow z 3))
(+ (* (pow y 3) (pow z 3)) (pow x 3))
(+ (* (pow y 3) (pow z 3)) (pow x 3))
(+ (* (pow y 3) (pow z 3)) (pow x 3))
(pow x 3)
(* (pow x 3) (+ 1 (/ (* (pow y 3) (pow z 3)) (pow x 3))))
(* (pow x 3) (+ 1 (/ (* (pow y 3) (pow z 3)) (pow x 3))))
(* (pow x 3) (+ 1 (/ (* (pow y 3) (pow z 3)) (pow x 3))))
(pow x 3)
(* -1 (* (pow x 3) (- (* -1 (/ (* (pow y 3) (pow z 3)) (pow x 3))) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (* (pow y 3) (pow z 3)) (pow x 3))) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (* (pow y 3) (pow z 3)) (pow x 3))) 1)))
(pow x 3)
(+ (* (pow y 3) (pow z 3)) (pow x 3))
(+ (* (pow y 3) (pow z 3)) (pow x 3))
(+ (* (pow y 3) (pow z 3)) (pow x 3))
(* (pow y 3) (pow z 3))
(* (pow y 3) (+ (/ (pow x 3) (pow y 3)) (pow z 3)))
(* (pow y 3) (+ (/ (pow x 3) (pow y 3)) (pow z 3)))
(* (pow y 3) (+ (/ (pow x 3) (pow y 3)) (pow z 3)))
(* (pow y 3) (pow z 3))
(* -1 (* (pow y 3) (+ (* -1 (/ (pow x 3) (pow y 3))) (* -1 (pow z 3)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (pow x 3) (pow y 3))) (* -1 (pow z 3)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (pow x 3) (pow y 3))) (* -1 (pow z 3)))))
(pow x 3)
(+ (* (pow y 3) (pow z 3)) (pow x 3))
(+ (* (pow y 3) (pow z 3)) (pow x 3))
(+ (* (pow y 3) (pow z 3)) (pow x 3))
(* (pow y 3) (pow z 3))
(* (pow z 3) (+ (/ (pow x 3) (pow z 3)) (pow y 3)))
(* (pow z 3) (+ (/ (pow x 3) (pow z 3)) (pow y 3)))
(* (pow z 3) (+ (/ (pow x 3) (pow z 3)) (pow y 3)))
(* (pow y 3) (pow z 3))
(* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (* -1 (pow y 3)))))
(* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (* -1 (pow y 3)))))
(* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (* -1 (pow y 3)))))
(/ z (sin y))
(/ z (sin y))
(/ z (sin y))
(/ z (sin y))
(/ z (sin y))
(/ z (sin y))
(/ z (sin y))
(/ z (sin y))
(/ z (sin y))
(/ z (sin y))
(/ z (sin y))
(/ z (sin y))
(/ z y)
(/ (+ z (* 1/6 (* (pow y 2) z))) y)
(/ (+ z (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z)))) y)
(/ (+ z (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/5040 z) (+ (* 1/720 z) (* 1/6 (+ (* -1/36 z) (* 1/120 z))))))) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z)))) 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))
Outputs
x
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y (+ z (* y (- (* -1 x) (* -1/2 x))))))
(fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x)
(+ x (* y (+ z (* y (- (+ (* -1 x) (* y (- (* -7/6 z) (* -1 z)))) (* -1/2 x))))))
(fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) z) x)
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(fma.f64 z (sin.f64 y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(fma.f64 z (sin.f64 y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(fma.f64 z (sin.f64 y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(fma.f64 z (sin.f64 y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(fma.f64 z (sin.f64 y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(fma.f64 z (sin.f64 y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(fma.f64 z (sin.f64 y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(fma.f64 z (sin.f64 y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.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)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(fma.f64 z (sin.f64 y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(fma.f64 z (sin.f64 y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(fma.f64 z (sin.f64 y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 z (sin.f64 y))
(* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(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 x (*.f64 z (cos.f64 y)))) (*.f64 z (sin.f64 y)))
(* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(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 x (*.f64 z (cos.f64 y)))) (*.f64 z (sin.f64 y)))
(* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(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 x (*.f64 z (cos.f64 y)))) (*.f64 z (sin.f64 y)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 z (sin.f64 y))
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))))
(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 x (*.f64 z (cos.f64 y)))) (*.f64 z (sin.f64 y)))
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))))
(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 x (*.f64 z (cos.f64 y)))) (*.f64 z (sin.f64 y)))
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))))
(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 x (*.f64 z (cos.f64 y)))) (*.f64 z (sin.f64 y)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 z (sin.f64 y))
(+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (*.f64 z (sin.f64 y)))
(+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (*.f64 z (sin.f64 y)))
(+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (*.f64 z (sin.f64 y)))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))))))
(*.f64 x (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (/.f64 (*.f64 z (sin.f64 y)) x)))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))))))
(*.f64 x (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (/.f64 (*.f64 z (sin.f64 y)) x)))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))))))
(*.f64 x (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (/.f64 (*.f64 z (sin.f64 y)) x)))
(/ (* 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 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))
(*.f64 x (+.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))))
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))
(*.f64 x (+.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))))
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))
(*.f64 x (+.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow y 2)))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -2/45 binary64) #s(literal 1/3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(* -2 y)
(*.f64 y #s(literal -2 binary64))
(* -2 y)
(*.f64 y #s(literal -2 binary64))
(* -2 y)
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(*.f64 z (*.f64 z (*.f64 y (*.f64 z (*.f64 y y)))))
(* (pow z 3) (+ (/ (pow x 3) (pow z 3)) (pow y 3)))
(*.f64 (*.f64 z (*.f64 z z)) (fma.f64 x (/.f64 (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 y (*.f64 y y))))
(* (pow z 3) (+ (/ (pow x 3) (pow z 3)) (pow y 3)))
(*.f64 (*.f64 z (*.f64 z z)) (fma.f64 x (/.f64 (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 y (*.f64 y y))))
(* (pow z 3) (+ (/ (pow x 3) (pow z 3)) (pow y 3)))
(*.f64 (*.f64 z (*.f64 z z)) (fma.f64 x (/.f64 (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 y (*.f64 y y))))
(* (pow y 3) (pow z 3))
(*.f64 z (*.f64 z (*.f64 y (*.f64 z (*.f64 y y)))))
(* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (* -1 (pow y 3)))))
(neg.f64 (*.f64 (*.f64 z (*.f64 (neg.f64 z) z)) (fma.f64 x (/.f64 (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 y (*.f64 y y)))))
(* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (* -1 (pow y 3)))))
(neg.f64 (*.f64 (*.f64 z (*.f64 (neg.f64 z) z)) (fma.f64 x (/.f64 (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 y (*.f64 y y)))))
(* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (* -1 (pow y 3)))))
(neg.f64 (*.f64 (*.f64 z (*.f64 (neg.f64 z) z)) (fma.f64 x (/.f64 (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 y (*.f64 y y)))))
(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z y)
(/.f64 z y)
(/ (+ z (* 1/6 (* (pow y 2) z))) y)
(/.f64 (fma.f64 z (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) z) y)
(/ (+ z (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z)))) y)
(/.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z #s(literal 7/360 binary64)) (*.f64 z #s(literal 1/6 binary64))) z) y)
(/ (+ z (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/5040 z) (+ (* 1/720 z) (* 1/6 (+ (* -1/36 z) (* 1/120 z))))))) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z)))) y)
(/.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (neg.f64 (fma.f64 z #s(literal 1/840 binary64) (*.f64 z #s(literal -7/2160 binary64)))) (*.f64 z #s(literal 7/360 binary64))) (*.f64 z #s(literal 1/6 binary64))) z) 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))

eval220.0ms (1.9%)

Memory
30.7MiB live, 418.4MiB allocated
Compiler

Compiled 59 755 to 3 520 computations (94.1% saved)

prune273.0ms (2.4%)

Memory
-16.5MiB live, 512.8MiB allocated
Pruning

52 alts after pruning (45 fresh and 7 done)

PrunedKeptTotal
New1 482231 505
Fresh92231
Picked235
Done044
Total1 493521 545
Accuracy
100.0%
Counts
1 545 → 52
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.6%
(fma.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 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 x (/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))) (cos.f64 y)))
15.6%
(fma.f64 (*.f64 (neg.f64 (*.f64 y z)) #s(literal 1/6 binary64)) (*.f64 y y) (neg.f64 (neg.f64 (*.f64 y z))))
49.8%
(fma.f64 (*.f64 z y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x)
99.7%
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
75.0%
(fma.f64 (sin.f64 y) z x)
52.0%
(fma.f64 z (/.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 y)) (*.f64 x (*.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))))
88.1%
(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 x (*.f64 z (cos.f64 y)))) (*.f64 z (sin.f64 y)))
99.5%
(fma.f64 z (sin.f64 y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
51.1%
(fma.f64 z y x)
49.6%
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x)
36.3%
(fma.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) x)
36.2%
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x)
74.5%
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
14.2%
(/.f64 (fma.f64 y (*.f64 z (*.f64 y (*.f64 y (*.f64 z z)))) (*.f64 x (*.f64 x x))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 y (*.f64 z z)))))
33.8%
(/.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 x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
26.8%
(/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x))
26.3%
(/.f64 (*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sin.f64 y))
33.2%
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) x)))
37.5%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) x))
13.9%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))) (fma.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 z z))) y) z (*.f64 x (*.f64 x x)))))
14.4%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 y z)))) (fma.f64 y z x))))
15.2%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 y (*.f64 z (*.f64 y z)))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z)))))))
16.0%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (*.f64 y (*.f64 z z)))) y))
4.3%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z)))))))
26.3%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) (*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
16.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
38.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
14.1%
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 x (*.f64 y (*.f64 y (*.f64 z z))))))
14.2%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 y (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y (*.f64 y (*.f64 z z)))) (*.f64 x (*.f64 x x))))))
49.7%
(+.f64 x (*.f64 z (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)))
49.8%
(+.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)))
90.1%
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x)
26.0%
(*.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y)))
61.7%
(*.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)))
26.7%
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))
16.0%
(*.f64 (*.f64 (neg.f64 y) z) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))
3.0%
(*.f64 (*.f64 (neg.f64 y) z) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))
16.0%
(*.f64 (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 y))
62.0%
(*.f64 (cos.f64 y) x)
16.1%
(*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))
88.2%
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
45.5%
(*.f64 z (+.f64 y (/.f64 x z)))
26.3%
(*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
39.4%
(*.f64 z (sin.f64 y))
16.5%
(*.f64 z y)
16.0%
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z))
38.6%
(*.f64 y (+.f64 z (/.f64 x y)))
67.9%
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) #s(literal 1 binary64)))
49.5%
(*.f64 x (fma.f64 z (/.f64 y x) #s(literal 1 binary64)))
61.6%
(*.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))))
3.0%
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 z (*.f64 y y))))
38.5%
x
Compiler

Compiled 2 614 to 874 computations (66.6% saved)

regimes151.0ms (1.3%)

Memory
-4.2MiB live, 230.7MiB allocated
Counts
84 → 1
Calls
Call 1
Inputs
x
(*.f64 z y)
(fma.f64 z y x)
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x)
(fma.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) x)
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x)
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 z (+.f64 y (/.f64 x z)))
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 z (*.f64 y y))))
(*.f64 z (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(*.f64 y (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))) z))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z))
(*.f64 x (fma.f64 z (/.f64 y x) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 y) z) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 y))
(*.f64 (*.f64 (neg.f64 y) z) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x)
(*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))
(fma.f64 (*.f64 (neg.f64 (*.f64 y z)) #s(literal 1/6 binary64)) (*.f64 y y) (neg.f64 (neg.f64 (*.f64 y z))))
(fma.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z) x)
(fma.f64 (*.f64 z y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) x))
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))
(+.f64 x (*.f64 z (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)))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) 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)))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 x (*.f64 y (*.f64 y (*.f64 z z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (*.f64 y (*.f64 z z)))) y))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z)))))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))))
(/.f64 (fma.f64 y (*.f64 z (*.f64 y (*.f64 y (*.f64 z z)))) (*.f64 x (*.f64 x x))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 y (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 y (*.f64 z (*.f64 y z)))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))) (fma.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 z z))) y) z (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 y (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y (*.f64 y (*.f64 z z)))) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 y z)))) (fma.f64 y z x))))
(*.f64 x (cos.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 (cos.f64 y) x)
(fma.f64 (sin.f64 y) z x)
(+.f64 x (*.f64 z (sin.f64 y)))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) #s(literal 1 binary64)))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x)
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
(*.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y)))
(/.f64 (*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sin.f64 y))
(*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) (*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 x x)) (-.f64 (*.f64 (sin.f64 y) z) x))
(fma.f64 z (sin.f64 y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(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 x (*.f64 z (cos.f64 y)))) (*.f64 z (sin.f64 y)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z #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)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))
(/.f64 (fma.f64 (-.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))))
(*.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) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (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 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (sin.f64 y) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(fma.f64 (/.f64 z (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)) (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 (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 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
(fma.f64 x (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 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 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(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) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
(fma.f64 z (/.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 y)) (*.f64 x (*.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))))
(*.f64 x (fma.f64 z (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))))
(*.f64 z (fma.f64 x (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))))
(fma.f64 x (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(fma.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(fma.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 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 x (/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))) (cos.f64 y)))
(*.f64 x (fma.f64 z (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) x) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 x x))))
(*.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)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))) (/.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (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)))))))
(fma.f64 z (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)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 x (cos.f64 y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
Outputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
Calls

4 calls:

48.0ms
y
45.0ms
z
27.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
24.0ms
x
Results
AccuracySegmentsBranch
99.7%1x
99.7%1y
99.7%1z
99.7%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes59.0ms (0.5%)

Memory
21.5MiB live, 136.5MiB allocated
Counts
45 → 3
Calls
Call 1
Inputs
x
(*.f64 z y)
(fma.f64 z y x)
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x)
(fma.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) x)
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x)
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 z (+.f64 y (/.f64 x z)))
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 z (*.f64 y y))))
(*.f64 z (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(*.f64 y (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))) z))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z))
(*.f64 x (fma.f64 z (/.f64 y x) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 y) z) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 y))
(*.f64 (*.f64 (neg.f64 y) z) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x)
(*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))
(fma.f64 (*.f64 (neg.f64 (*.f64 y z)) #s(literal 1/6 binary64)) (*.f64 y y) (neg.f64 (neg.f64 (*.f64 y z))))
(fma.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z) x)
(fma.f64 (*.f64 z y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) x))
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))
(+.f64 x (*.f64 z (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)))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) 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)))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 x (*.f64 y (*.f64 y (*.f64 z z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (*.f64 y (*.f64 z z)))) y))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z)))))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))))
(/.f64 (fma.f64 y (*.f64 z (*.f64 y (*.f64 y (*.f64 z z)))) (*.f64 x (*.f64 x x))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 y (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 y (*.f64 z (*.f64 y z)))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))) (fma.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 z z))) y) z (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 y (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y (*.f64 y (*.f64 z z)))) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 y z)))) (fma.f64 y z x))))
(*.f64 x (cos.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 (cos.f64 y) x)
(fma.f64 (sin.f64 y) z x)
(+.f64 x (*.f64 z (sin.f64 y)))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) #s(literal 1 binary64)))
Outputs
(fma.f64 (sin.f64 y) z x)
(*.f64 x (cos.f64 y))
(fma.f64 (sin.f64 y) z x)
Calls

4 calls:

15.0ms
z
14.0ms
x
14.0ms
y
13.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Results
AccuracySegmentsBranch
86.3%3x
77.8%2y
86.5%3z
75.0%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes43.0ms (0.4%)

Memory
-14.5MiB live, 102.9MiB allocated
Counts
42 → 3
Calls
Call 1
Inputs
x
(*.f64 z y)
(fma.f64 z y x)
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x)
(fma.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) x)
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x)
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 z (+.f64 y (/.f64 x z)))
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 z (*.f64 y y))))
(*.f64 z (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(*.f64 y (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))) z))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z))
(*.f64 x (fma.f64 z (/.f64 y x) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 y) z) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 y))
(*.f64 (*.f64 (neg.f64 y) z) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x)
(*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))
(fma.f64 (*.f64 (neg.f64 (*.f64 y z)) #s(literal 1/6 binary64)) (*.f64 y y) (neg.f64 (neg.f64 (*.f64 y z))))
(fma.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z) x)
(fma.f64 (*.f64 z y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) x))
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))
(+.f64 x (*.f64 z (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)))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) 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)))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 x (*.f64 y (*.f64 y (*.f64 z z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (*.f64 y (*.f64 z z)))) y))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z)))))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))))
(/.f64 (fma.f64 y (*.f64 z (*.f64 y (*.f64 y (*.f64 z z)))) (*.f64 x (*.f64 x x))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 y (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 y (*.f64 z (*.f64 y z)))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))) (fma.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 z z))) y) z (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 y (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y (*.f64 y (*.f64 z z)))) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 y z)))) (fma.f64 y z x))))
(*.f64 x (cos.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 (cos.f64 y) x)
Outputs
(*.f64 x (cos.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 x (cos.f64 y))
Calls

3 calls:

14.0ms
z
14.0ms
y
12.0ms
x
Results
AccuracySegmentsBranch
77.4%4y
78.4%3x
76.7%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes56.0ms (0.5%)

Memory
-8.5MiB live, 160.6MiB allocated
Counts
40 → 3
Calls
Call 1
Inputs
x
(*.f64 z y)
(fma.f64 z y x)
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x)
(fma.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) x)
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x)
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 z (+.f64 y (/.f64 x z)))
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 z (*.f64 y y))))
(*.f64 z (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(*.f64 y (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))) z))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z))
(*.f64 x (fma.f64 z (/.f64 y x) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 y) z) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 y))
(*.f64 (*.f64 (neg.f64 y) z) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x)
(*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))
(fma.f64 (*.f64 (neg.f64 (*.f64 y z)) #s(literal 1/6 binary64)) (*.f64 y y) (neg.f64 (neg.f64 (*.f64 y z))))
(fma.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z) x)
(fma.f64 (*.f64 z y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) x))
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))
(+.f64 x (*.f64 z (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)))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) 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)))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 x (*.f64 y (*.f64 y (*.f64 z z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (*.f64 y (*.f64 z z)))) y))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z)))))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))))
(/.f64 (fma.f64 y (*.f64 z (*.f64 y (*.f64 y (*.f64 z z)))) (*.f64 x (*.f64 x x))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 y (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 y (*.f64 z (*.f64 y z)))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))) (fma.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 z z))) y) z (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 y (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y (*.f64 y (*.f64 z z)))) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 y z)))) (fma.f64 y z x))))
(*.f64 x (cos.f64 y))
Outputs
(*.f64 x (cos.f64 y))
(+.f64 x (*.f64 z (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)))
(*.f64 x (cos.f64 y))
Calls

4 calls:

16.0ms
z
13.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
12.0ms
y
11.0ms
x
Results
AccuracySegmentsBranch
75.6%3y
69.2%3z
62.0%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
70.2%3x
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes56.0ms (0.5%)

Memory
23.8MiB live, 104.1MiB allocated
Counts
39 → 1
Calls
Call 1
Inputs
x
(*.f64 z y)
(fma.f64 z y x)
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x)
(fma.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) x)
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x)
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 z (+.f64 y (/.f64 x z)))
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 z (*.f64 y y))))
(*.f64 z (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(*.f64 y (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))) z))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z))
(*.f64 x (fma.f64 z (/.f64 y x) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 y) z) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 y))
(*.f64 (*.f64 (neg.f64 y) z) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x)
(*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))
(fma.f64 (*.f64 (neg.f64 (*.f64 y z)) #s(literal 1/6 binary64)) (*.f64 y y) (neg.f64 (neg.f64 (*.f64 y z))))
(fma.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z) x)
(fma.f64 (*.f64 z y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) x))
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))
(+.f64 x (*.f64 z (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)))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) 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)))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 x (*.f64 y (*.f64 y (*.f64 z z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (*.f64 y (*.f64 z z)))) y))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z)))))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))))
(/.f64 (fma.f64 y (*.f64 z (*.f64 y (*.f64 y (*.f64 z z)))) (*.f64 x (*.f64 x x))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 y (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 y (*.f64 z (*.f64 y z)))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))) (fma.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 z z))) y) z (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 y (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y (*.f64 y (*.f64 z z)))) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 y z)))) (fma.f64 y z x))))
Outputs
(fma.f64 z y x)
Calls

4 calls:

20.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
12.0ms
x
11.0ms
z
11.0ms
y
Results
AccuracySegmentsBranch
51.1%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
51.1%1z
51.1%1x
51.1%1y
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes30.0ms (0.3%)

Memory
-23.3MiB live, 16.5MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
x
(*.f64 z y)
Outputs
(*.f64 z y)
x
(*.f64 z y)
Calls

4 calls:

24.0ms
x
2.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
2.0ms
y
1.0ms
z
Results
AccuracySegmentsBranch
41.8%3x
42.7%3z
38.5%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
38.5%1y
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes4.0ms (0%)

Memory
10.7MiB live, 10.7MiB 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
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
1.0ms
z
1.0ms
x
Results
AccuracySegmentsBranch
38.5%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
38.5%1x
38.5%1z
Compiler

Compiled 20 to 14 computations (30% saved)

bsearch33.0ms (0.3%)

Memory
18.1MiB live, 96.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
1.3244483998258763e-102
6.394375758781695e-102
18.0ms
-2.0029394278892767e-66
-2.5449389017933187e-73
Samples
23.0ms240×0valid
Compiler

Compiled 270 to 194 computations (28.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-cos: 5.0ms (33.6% of total)
ival-sin: 5.0ms (33.6% of total)
ival-mult: 3.0ms (20.2% of total)
ival-add: 1.0ms (6.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch41.0ms (0.4%)

Memory
6.8MiB live, 84.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
5.670075967112853e-171
3.2444898633998123e-152
17.0ms
-1.8393238389854132e-25
-5.183180975134574e-29
Samples
29.0ms288×0valid
Compiler

Compiled 303 to 230 computations (24.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-cos: 9.0ms (41.8% of total)
ival-sin: 8.0ms (37.2% of total)
ival-mult: 3.0ms (13.9% of total)
ival-add: 1.0ms (4.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch48.0ms (0.4%)

Memory
-17.6MiB live, 97.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
6.7674022074934685e-15
3.629122962428671
25.0ms
-50578990.9455719
-727.4140258673003
Samples
35.0ms304×0valid
Compiler

Compiled 661 to 413 computations (37.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 11.0ms (40.2% of total)
ival-cos: 9.0ms (32.9% of total)
ival-sin: 6.0ms (22% of total)
ival-add: 1.0ms (3.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch31.0ms (0.3%)

Memory
5.3MiB live, 82.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
1.3759771885891752e+135
3.2168722242950104e+135
19.0ms
-1.3589850850824674e+188
-9.661836917541632e+180
Samples
22.0ms224×0valid
Compiler

Compiled 183 to 140 computations (23.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-cos: 5.0ms (33.8% of total)
ival-sin: 5.0ms (33.8% of total)
ival-mult: 4.0ms (27% of total)
ival-add: 1.0ms (6.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify13.0ms (0.1%)

Memory
3.4MiB live, 38.3MiB allocated
Algorithm
egg-herbie
Rules
12×*-commutative_binary64
if-if-or-not_binary32
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04696
16596
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(if (<=.f64 z #s(literal -7926089080280975/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704 binary64)) (fma.f64 (sin.f64 y) z x) (if (<=.f64 z #s(literal 7313012350050815/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224 binary64)) (*.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z x)))
(if (<=.f64 x #s(literal -1895563341875103/11150372599265311570767859136324180752990208 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 7547924849643083/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872 binary64)) (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(if (<=.f64 y #s(literal -740 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 7926335344172073/72057594037927936 binary64)) (+.f64 x (*.f64 z (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))) (*.f64 x (cos.f64 y))))
(fma.f64 z y x)
(if (<=.f64 z #s(literal -1499999999999999909042167455985911120795820881987960223430708651773125828159040861124270570891212344239876164244904077514831264145883051995948988091083436466923515259489829140486573522944 binary64)) (*.f64 z y) (if (<=.f64 z #s(literal 2399999999999999972947504972528570413676144107139581221711614717022828790500057571139050654816056810626019326996722756516726326639460352 binary64)) x (*.f64 z y)))
x
Outputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(if (<=.f64 z #s(literal -7926089080280975/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704 binary64)) (fma.f64 (sin.f64 y) z x) (if (<=.f64 z #s(literal 7313012350050815/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224 binary64)) (*.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z x)))
(if (<=.f64 x #s(literal -1895563341875103/11150372599265311570767859136324180752990208 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 7547924849643083/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872 binary64)) (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(if (<=.f64 x #s(literal -1895563341875103/11150372599265311570767859136324180752990208 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 7547924849643083/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872 binary64)) (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))
(if (<=.f64 y #s(literal -740 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 7926335344172073/72057594037927936 binary64)) (+.f64 x (*.f64 z (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))) (*.f64 x (cos.f64 y))))
(fma.f64 z y x)
(if (<=.f64 z #s(literal -1499999999999999909042167455985911120795820881987960223430708651773125828159040861124270570891212344239876164244904077514831264145883051995948988091083436466923515259489829140486573522944 binary64)) (*.f64 z y) (if (<=.f64 z #s(literal 2399999999999999972947504972528570413676144107139581221711614717022828790500057571139050654816056810626019326996722756516726326639460352 binary64)) x (*.f64 z y)))
(if (<=.f64 z #s(literal -1499999999999999909042167455985911120795820881987960223430708651773125828159040861124270570891212344239876164244904077514831264145883051995948988091083436466923515259489829140486573522944 binary64)) (*.f64 y z) (if (<=.f64 z #s(literal 2399999999999999972947504972528570413676144107139581221711614717022828790500057571139050654816056810626019326996722756516726326639460352 binary64)) x (*.f64 y z)))
x

soundness1.0s (9.2%)

Memory
0.6MiB live, 931.6MiB allocated
Rules
14 080×accelerator-lowering-fma.f32
14 080×accelerator-lowering-fma.f64
11 480×accelerator-lowering-fma.f32
11 480×accelerator-lowering-fma.f64
8 414×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
12419
218019
3185319
0839518
05545536
119225342
270225326
082194886
06177392
121507193
272247122
081446539
036122
1219101
21928101
0828692
093620
1295616
2892610
32078604
43746604
56389604
08805554
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 207 to 111 computations (46.4% saved)

preprocess50.0ms (0.4%)

Memory
-5.0MiB live, 152.9MiB allocated
Compiler

Compiled 246 to 108 computations (56.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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