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

Time bar (total: 10.1s)

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.0s (10.3%)

Memory
24.3MiB live, 1 563.2MiB allocated
Samples
824.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 605.0ms
ival-sin: 252.0ms (41.7% of total)
ival-cos: 171.0ms (28.3% of total)
ival-mult: 134.0ms (22.2% of total)
ival-add: 38.0ms (6.3% of total)
ival-true: 6.0ms (1% of total)
ival-assert: 4.0ms (0.7% of total)
Bogosity

preprocess50.0ms (0.5%)

Memory
-6.2MiB live, 45.4MiB allocated
Algorithm
2×egg-herbie
Rules
164×unsub-neg
162×associate-*r*
148×associate-*l*
136×distribute-lft-neg-in
108×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03696
18190
214190
332390
448890
572890
689890
797790
8105390
9111990
10113390
11113890
12114090
089
1119
0118
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(+ (* x (sin y)) (* z (cos y)))
Outputs
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
Call 2
Inputs
(+ (* x (sin y)) (* z (cos y)))
(+ (* (neg x) (sin y)) (* z (cos y)))
(+ (* x (sin (neg y))) (* z (cos (neg y))))
(+ (* x (sin y)) (* (neg z) (cos y)))
(neg (+ (* (neg x) (sin y)) (* z (cos y))))
(neg (+ (* x (sin (neg y))) (* z (cos (neg y)))))
(neg (+ (* x (sin y)) (* (neg z) (cos y))))
(+ (* y (sin x)) (* z (cos x)))
(+ (* z (sin y)) (* x (cos y)))
(+ (* x (sin z)) (* y (cos z)))
Outputs
(+ (* x (sin y)) (* z (cos y)))
(+ (* (neg x) (sin y)) (* z (cos y)))
(- (* z (cos y)) (* x (sin y)))
(+ (* x (sin (neg y))) (* z (cos (neg y))))
(- (* z (cos y)) (* x (sin y)))
(+ (* x (sin y)) (* (neg z) (cos y)))
(- (* x (sin y)) (* z (cos y)))
(neg (+ (* (neg x) (sin y)) (* z (cos y))))
(- (* x (sin y)) (* z (cos y)))
(neg (+ (* x (sin (neg y))) (* z (cos (neg y)))))
(- (* x (sin y)) (* z (cos y)))
(neg (+ (* x (sin y)) (* (neg z) (cos y))))
(- (* z (cos y)) (* x (sin y)))
(+ (* y (sin x)) (* z (cos x)))
(+ (* z (sin y)) (* x (cos y)))
(+ (* (sin y) z) (* x (cos y)))
(+ (* x (sin z)) (* y (cos z)))

explain100.0ms (1%)

Memory
26.1MiB live, 184.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
00-0-(sin.f64 y)
00-0-(*.f64 z (cos.f64 y))
00-0-y
00-0-z
00-0-(*.f64 x (sin.f64 y))
00-0-(cos.f64 y)
00-0-x
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
49.0ms512×0valid
Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-cos: 12.0ms (36.1% of total)
ival-sin: 12.0ms (36.1% of total)
ival-mult: 6.0ms (18% of total)
ival-add: 2.0ms (6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify29.0ms (0.3%)

Memory
-34.1MiB live, 4.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
11124
01123
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
x
(sin y)
y
(* z (cos y))
z
(cos y)
Outputs
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
x
(sin y)
(sin.f64 y)
y
(* z (cos y))
(*.f64 z (cos.f64 y))
z
(cos y)
(cos.f64 y)

localize40.0ms (0.4%)

Memory
-2.4MiB live, 36.4MiB allocated
Localize:

Found 4 expressions of interest:

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

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-sin: 6.0ms (39% of total)
ival-cos: 5.0ms (32.5% of total)
ival-mult: 3.0ms (19.5% of total)
ival-add: 1.0ms (6.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
12.6MiB live, 12.6MiB allocated
Counts
5 → 108
Calls
Call 1
Inputs
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (sin y)>
#<alt (* z (cos y))>
#<alt (cos y)>
Outputs
#<alt (* z (cos y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt z>
#<alt (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (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)>
Calls

27 calls:

TimeVariablePointExpression
1.0ms
x
@0
(+ (* x (sin y)) (* z (cos y)))
1.0ms
z
@inf
(+ (* x (sin y)) (* z (cos y)))
1.0ms
z
@0
(+ (* x (sin y)) (* z (cos y)))
0.0ms
y
@-inf
(+ (* x (sin y)) (* z (cos y)))
0.0ms
y
@inf
(+ (* x (sin y)) (* z (cos y)))

rewrite592.0ms (5.9%)

Memory
18.5MiB live, 845.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
11 256×accelerator-lowering-fma.f32
11 256×accelerator-lowering-fma.f64
4 178×*-lowering-*.f32
4 178×*-lowering-*.f64
3 938×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
12421
218021
3185321
0821320
Stop Event
1×iter limit
1×node limit
Counts
5 → 176
Calls
Call 1
Inputs
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(sin y)
(* z (cos y))
(cos y)
Outputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (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 (cos.f64 y)) (*.f64 x (sin.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 (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) #s(literal -1 binary64)))
(-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (-.f64 #s(literal 0 binary64) (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 (sin.f64 y)) (*.f64 z (cos.f64 y))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (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 (cos.f64 y)) (*.f64 x (sin.f64 y)))) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) (/.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (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 (sin.f64 y)) #s(literal 4 binary64)))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (/.f64 (pow.f64 (*.f64 z (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 (sin.f64 y)) #s(literal 4 binary64)))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (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 (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (/.f64 (pow.f64 (*.f64 z (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 (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))) (-.f64 #s(literal 0 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 #s(literal 0 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (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 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))))) (/.f64 (pow.f64 (*.f64 z (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 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64))))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64))))))
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(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 9 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 9 binary64))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) (*.f64 (*.f64 x (sin.f64 y)) z)) #s(literal 3 binary64))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.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 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.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 (sin.f64 y)) #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.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 (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) #s(literal 3 binary64)))) (fma.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) (-.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.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 (sin.f64 y)) #s(literal 4 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) #s(literal 2 binary64)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))))
(*.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 #s(literal 0 binary64) (*.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 (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (*.f64 x (sin.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 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 9 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) (*.f64 (*.f64 x (sin.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 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.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 (sin.f64 y)) #s(literal 4 binary64)))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.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 (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sin.f64 y))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64))
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 (pow.f64 x #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 x #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (sin.f64 y))))
(sin.f64 y)
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 z (-.f64 #s(literal 0 binary64) (cos.f64 y))))
(neg.f64 (*.f64 z (-.f64 #s(literal 0 binary64) (cos.f64 y))))
(pow.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 0 binary64) (cos.f64 y))))
(*.f64 (pow.f64 z #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 z #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 z)))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (cos.f64 y))))
(cos.f64 y)

simplify412.0ms (4.1%)

Memory
-3.1MiB live, 671.0MiB allocated
Algorithm
1×egg-herbie
Rules
12 858×accelerator-lowering-fma.f32
12 858×accelerator-lowering-fma.f64
4 718×*-lowering-*.f32
4 718×*-lowering-*.f64
2 178×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109682
1344678
2991668
32652662
44669662
56964662
08196606
Stop Event
1×iter limit
1×node limit
Counts
108 → 108
Calls
Call 1
Inputs
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* 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 (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
z
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (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)
Outputs
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
z
(+ z (* x y))
(fma.f64 y x z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x y)
(*.f64 y x)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 x (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 y (*.f64 x (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(*.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) x))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
z
(+ z (* -1/2 (* (pow y 2) z)))
(*.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)

eval33.0ms (0.3%)

Memory
1.7MiB live, 77.0MiB allocated
Compiler

Compiled 10 147 to 552 computations (94.6% saved)

prune115.0ms (1.1%)

Memory
-25.6MiB live, 127.3MiB allocated
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New26717284
Fresh000
Picked101
Done000
Total26817285
Accuracy
99.9%
Counts
285 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶55.2%
(fma.f64 (*.f64 x (*.f64 x (sin.f64 y))) (/.f64 (sin.f64 y) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
99.9%
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
▶99.9%
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
61.4%
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
49.7%
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
49.7%
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z)
51.2%
(fma.f64 y x z)
57.6%
(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 (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
▶40.0%
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
33.2%
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
44.1%
(/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
▶99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
77.6%
(+.f64 (*.f64 x (sin.f64 y)) z)
44.8%
(*.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (/.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.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 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))))
14.1%
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.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 (sin.f64 y)) #s(literal 4 binary64)))))
44.1%
(*.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
▶40.3%
z
Compiler

Compiled 990 to 452 computations (54.3% saved)

simplify313.0ms (3.1%)

Memory
35.1MiB live, 489.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sin.f64 y)
✓cost-diff192
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓cost-diff192
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
✓cost-diff14080
(fma.f64 (*.f64 x (*.f64 x (sin.f64 y))) (/.f64 (sin.f64 y) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
✓cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
✓cost-diff-64
(*.f64 x (sin.f64 y))
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
Rules
7 640×accelerator-lowering-fma.f32
7 640×accelerator-lowering-fma.f64
2 564×*-lowering-*.f32
2 564×*-lowering-*.f64
1 206×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029240
167239
2175238
3521238
41506238
53210238
65197230
76540230
87623230
08009221
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* (cos y) z) (* x (sin y)))
(cos y)
y
z
(* x (sin y))
x
(sin y)
z
(+ (* x (sin y)) 0)
x
(sin y)
y
0
(/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y)))))
1
(/ 1 (+ (* z (cos y)) (* x (sin y))))
(+ (* z (cos y)) (* x (sin y)))
z
(cos y)
y
(* x (sin y))
x
(sin y)
(+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (- 0 (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y)))))))
(* x (* x (sin y)))
x
(* x (sin y))
(sin y)
y
(/ (sin y) (- (* x (sin y)) (* z (cos y))))
(- (* x (sin y)) (* z (cos y)))
(* z (cos y))
z
(cos y)
(- 0 (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))
0
(* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y)))))
(+ 1/2 (* 1/2 (cos (+ y y))))
1/2
(* 1/2 (cos (+ y y)))
(cos (+ y y))
(+ y y)
(/ (* z z) (- (* x (sin y)) (* z (cos y))))
(* z z)
Outputs
(+ (* (cos y) z) (* x (sin y)))
(fma.f64 (cos.f64 y) z (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(cos y)
(cos.f64 y)
y
z
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
x
(sin y)
(sin.f64 y)
z
(+ (* x (sin y)) 0)
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
x
(sin y)
(sin.f64 y)
y
0
#s(literal 0 binary64)
(/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y)))))
(fma.f64 (cos.f64 y) z (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
1
#s(literal 1 binary64)
(/ 1 (+ (* z (cos y)) (* x (sin y))))
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (fma.f64 x (sin.f64 y) #s(literal 0 binary64))))
(+ (* z (cos y)) (* x (sin y)))
(fma.f64 (cos.f64 y) z (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
z
(cos y)
(cos.f64 y)
y
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
x
(sin y)
(sin.f64 y)
(+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (- 0 (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 #s(literal 0 binary64) z) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))) (fma.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 (sin.f64 y) (fma.f64 x (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* x (* x (sin y)))
(fma.f64 x (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) #s(literal 0 binary64))
x
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(sin y)
(sin.f64 y)
y
(/ (sin y) (- (* x (sin y)) (* z (cos y))))
(/.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (-.f64 #s(literal 0 binary64) z) (fma.f64 x (sin.f64 y) #s(literal 0 binary64))))
(- (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) (-.f64 #s(literal 0 binary64) z) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(* z (cos y))
(fma.f64 (cos.f64 y) z #s(literal 0 binary64))
z
(cos y)
(cos.f64 y)
(- 0 (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 (cos.f64 y) z (-.f64 #s(literal 0 binary64) (fma.f64 x (sin.f64 y) #s(literal 0 binary64))))) #s(literal 0 binary64))
0
#s(literal 0 binary64)
(* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y)))))
(fma.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 z (fma.f64 (cos.f64 y) (-.f64 #s(literal 0 binary64) z) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))) #s(literal 0 binary64)) #s(literal 0 binary64))
(+ 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)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 0 binary64))
(cos (+ y y))
(cos.f64 (+.f64 y y))
(+ y y)
(+.f64 y y)
(/ (* z z) (- (* x (sin y)) (* z (cos y))))
(/.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 (cos.f64 y) (-.f64 #s(literal 0 binary64) z) (fma.f64 x (sin.f64 y) #s(literal 0 binary64))))
(* z z)
(fma.f64 z z #s(literal 0 binary64))

localize170.0ms (1.7%)

Memory
1.4MiB live, 249.3MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(/.f64 (sin.f64 y) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
✓accuracy99.1%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓accuracy79.5%
(fma.f64 (*.f64 x (*.f64 x (sin.f64 y))) (/.f64 (sin.f64 y) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
✓accuracy67.6%
(/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
✓accuracy99.9%
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
✓accuracy99.8%
(*.f64 x (sin.f64 y))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
✓accuracy100.0%
(sin.f64 y)
✓accuracy99.8%
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
✓accuracy100.0%
(sin.f64 y)
✓accuracy100.0%
(cos.f64 y)
✓accuracy99.9%
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
✓accuracy99.8%
(*.f64 x (sin.f64 y))
Samples
113.0ms256×0valid
Compiler

Compiled 244 to 31 computations (87.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 95.0ms
ival-mult: 41.0ms (43.2% of total)
ival-cos: 32.0ms (33.7% of total)
ival-add: 7.0ms (7.4% of total)
ival-div: 6.0ms (6.3% of total)
ival-sin: 6.0ms (6.3% of total)
ival-sub: 2.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series66.0ms (0.7%)

Memory
-23.4MiB live, 95.3MiB allocated
Counts
13 → 372
Calls
Call 1
Inputs
#<alt (+ (* (cos y) z) (* x (sin y)))>
#<alt (cos y)>
#<alt (sin y)>
#<alt (* x (sin y))>
#<alt (+ (* x (sin y)) 0)>
#<alt (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y)))))>
#<alt (/ 1 (+ (* z (cos y)) (* x (sin y))))>
#<alt (+ (* z (cos y)) (* x (sin y)))>
#<alt (+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (- 0 (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y)))))))>
#<alt (- 0 (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))>
#<alt (+ 1/2 (* 1/2 (cos (+ y y))))>
#<alt (/ (* z z) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (sin y) (- (* x (sin y)) (* z (cos y))))>
Outputs
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* z (cos y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<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 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 (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (/ 1 (* x (sin y)))>
#<alt (+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y))))>
#<alt (+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))>
#<alt (+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))>
#<alt (/ 1 (* z (cos y)))>
#<alt (/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)>
#<alt (/ (- (+ (/ 1 (cos y)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z)>
#<alt (/ (- (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z)>
#<alt (/ 1 (* z (cos y)))>
#<alt (* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))>
#<alt (/ 1 z)>
#<alt (+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))>
#<alt (+ (* y (- (* y (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))>
#<alt (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ x (pow z 2))) (+ (* 1/2 (/ x (pow z 2))) (/ (* x (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) z))))) (* 1/2 (/ 1 z))) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))>
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))>
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))>
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))>
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))>
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))>
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))>
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))>
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))>
#<alt (/ 1 (* z (cos y)))>
#<alt (+ (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y))))>
#<alt (+ (* x (- (/ (* x (pow (sin y) 2)) (* (pow z 3) (pow (cos y) 3))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))>
#<alt (+ (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow z 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))>
#<alt (/ 1 (* x (sin y)))>
#<alt (/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x)>
#<alt (/ (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2)))) x)>
#<alt (/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2))))) x)>
#<alt (/ 1 (* x (sin y)))>
#<alt (* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))>
#<alt (* x (sin y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (- (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))))>
#<alt (- (* x (+ (* x (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))))>
#<alt (- (* x (+ (* x (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (+ (* x (- (/ (* (pow (sin y) 3) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (cos y) 4))) (/ (pow (sin y) 3) (* (pow z 2) (pow (cos y) 2))))) (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))))>
#<alt (* x (sin y))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (- (+ (sin y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (pow x 2)))) (* -1 (/ (* z (cos y)) x))))>
#<alt (* x (- (+ (sin y) (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (sin y) 2))))) (+ (* -1 (/ (* z (cos y)) x)) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 2)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y))))))))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (* -1 (* z (cos y)))) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2)))) x)) (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x)) (* -1 (* z (cos y)))) x)))))>
#<alt z>
#<alt (- (* x y) (* -1 z))>
#<alt (- (* y (+ x (* y (- (+ (* -1 (/ (pow x 2) z)) (+ (* 1/2 z) (/ (pow x 2) z))) z)))) (* -1 z))>
#<alt (- (* y (+ x (* y (- (+ (* -1 (/ (pow x 2) z)) (+ (* 1/2 z) (+ (* y (- (+ (* -1 (/ (* x (- z (+ (* 1/2 z) (/ (pow x 2) z)))) z)) (+ (* -1/6 x) (* 1/2 x))) (/ (pow x 3) (pow z 2)))) (/ (pow x 2) z)))) z)))) (* -1 z))>
#<alt (- (/ (* (pow x 2) (pow (sin y) 2)) (- (* x (sin y)) (* z (cos y)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))))>
#<alt (- (/ (* (pow x 2) (pow (sin y) 2)) (- (* x (sin y)) (* z (cos y)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))))>
#<alt (- (/ (* (pow x 2) (pow (sin y) 2)) (- (* x (sin y)) (* z (cos y)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))))>
#<alt (- (/ (* (pow x 2) (pow (sin y) 2)) (- (* x (sin y)) (* z (cos y)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))))>
#<alt (- (/ (* (pow x 2) (pow (sin y) 2)) (- (* x (sin y)) (* z (cos y)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))))>
#<alt (- (/ (* (pow x 2) (pow (sin y) 2)) (- (* x (sin y)) (* z (cos y)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))))>
#<alt (- (/ (* (pow x 2) (pow (sin y) 2)) (- (* x (sin y)) (* z (cos y)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))))>
#<alt (- (/ (* (pow x 2) (pow (sin y) 2)) (- (* x (sin y)) (* z (cos y)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))))>
#<alt (* x (sin y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (+ (* 1/2 (/ 1 (* x (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* x (sin y)))))))) (* -1 (cos y)))))>
#<alt (+ (* x (sin y)) (* z (- (* z (- (* z (- (* -1 (/ (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (sin y) 2)))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (+ (* 1/2 (/ 1 (* x (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* x (sin y)))))))) (* -1 (cos y)))))>
#<alt (* z (- (* 1/2 (/ 1 (cos y))) (* -1/2 (/ (cos (* 2 y)) (cos y)))))>
#<alt (* z (- (+ (* -1 (/ (+ (* -1/2 (/ (* x (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (pow (cos y) 2)))) z)) (* 1/2 (/ 1 (cos y)))) (* -1/2 (/ (cos (* 2 y)) (cos y)))))>
#<alt (* z (- (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (* 1/2 (/ 1 (cos y)))) (+ (* -1/2 (/ (cos (* 2 y)) (cos y))) (+ (* -1/2 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* (pow z 2) (pow (cos y) 3)))) (* -1/2 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3))))))))))>
#<alt (* z (- (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (+ (* -1 (/ (+ (* -1/2 (/ (* (pow x 3) (* (cos (* 2 y)) (pow (sin y) 3))) (pow (cos y) 4))) (+ (* -1/2 (/ (* (pow x 3) (pow (sin y) 3)) (pow (cos y) 4))) (/ (* (pow x 3) (pow (sin y) 3)) (pow (cos y) 2)))) (pow z 3))) (* 1/2 (/ 1 (cos y))))) (+ (* -1/2 (/ (cos (* 2 y)) (cos y))) (+ (* -1/2 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* (pow z 2) (pow (cos y) 3)))) (* -1/2 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3))))))))))>
#<alt (* z (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))>
#<alt (* -1 (* z (- (+ (* -1/2 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (* z (pow (cos y) 2))))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))))>
#<alt (* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (sin y) 2)) (cos y)) (+ (* 1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* 1/2 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))))) z)) (+ (* -1/2 (/ (* x (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) z)) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))))>
#<alt (* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow x 3) (* (cos (* 2 y)) (pow (sin y) 3))) (* z (pow (cos y) 4)))) (+ (* -1/2 (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4)))) (+ (/ (* (pow x 2) (pow (sin y) 2)) (cos y)) (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 2)))))) (+ (* 1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* 1/2 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))))) z)) (+ (* -1/2 (/ (* x (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) z)) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))))>
#<alt z>
#<alt (- (* x y) (* -1 z))>
#<alt (- (* y (+ x (* y (- (+ (* 1/2 z) (/ (pow x 2) z)) z)))) (* -1 z))>
#<alt (- (* y (+ x (* y (- (+ (* 1/2 z) (+ (* y (+ (* -1 (/ (* x (- z (+ (* 1/2 z) (/ (pow x 2) z)))) z)) (+ (* -1/6 x) (* 1/2 x)))) (/ (pow x 2) z))) z)))) (* -1 z))>
#<alt (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))))>
#<alt (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))))>
#<alt (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))))>
#<alt (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))))>
#<alt (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))))>
#<alt (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))))>
#<alt (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))))>
#<alt (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))))>
#<alt (* -1 (* (pow z 2) (+ (* 1/2 (/ 1 (* x (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* x (sin y)))))))>
#<alt (* (pow z 2) (- (* -1 (/ (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (sin y) 2)))) (+ (* 1/2 (/ 1 (* x (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* x (sin y)))))))>
#<alt (* (pow z 2) (- (* z (+ (* -1 (/ (* z (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (sin y) 3)))) (* -1 (/ (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (sin y) 2)))))) (+ (* 1/2 (/ 1 (* x (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* x (sin y)))))))>
#<alt (* (pow z 2) (- (* z (+ (* -1 (/ (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (sin y) 2)))) (* z (+ (* -1 (/ (* z (* (pow (cos y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 3) (pow (sin y) 3)))))))) (+ (* 1/2 (/ 1 (* x (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* x (sin y)))))))>
#<alt (* z (- (* 1/2 (/ 1 (cos y))) (* -1/2 (/ (cos (* 2 y)) (cos y)))))>
#<alt (* z (- (+ (* -1 (/ (+ (* -1/2 (/ (* x (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (pow (cos y) 2)))) z)) (* 1/2 (/ 1 (cos y)))) (* -1/2 (/ (cos (* 2 y)) (cos y)))))>
#<alt (* z (- (+ (* -1 (/ (+ (* -1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* -1/2 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3)))) (pow z 2))) (* 1/2 (/ 1 (cos y)))) (+ (* -1/2 (/ (cos (* 2 y)) (cos y))) (+ (* -1/2 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (* z (pow (cos y) 2))))))))>
#<alt (* z (- (+ (* -1 (/ (+ (* -1/2 (/ (* (pow x 3) (* (cos (* 2 y)) (pow (sin y) 3))) (pow (cos y) 4))) (* -1/2 (/ (* (pow x 3) (pow (sin y) 3)) (pow (cos y) 4)))) (pow z 3))) (* 1/2 (/ 1 (cos y)))) (+ (* -1/2 (/ (cos (* 2 y)) (cos y))) (+ (* -1/2 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* (pow z 2) (pow (cos y) 3)))) (* -1/2 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3))))))))))>
#<alt (* z (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))>
#<alt (* -1 (* z (- (+ (* -1/2 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (* z (pow (cos y) 2))))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))))>
#<alt (* -1 (* z (- (* -1 (/ (- (+ (* 1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* z (pow (cos y) 3)))) (* 1/2 (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3))))) (+ (* -1/2 (/ (* x (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) z)) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))))>
#<alt (* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow x 3) (* (cos (* 2 y)) (pow (sin y) 3))) (* z (pow (cos y) 4)))) (* -1/2 (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))))) (+ (* 1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* 1/2 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))))) z)) (+ (* -1/2 (/ (* x (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) z)) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (- (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))))>
#<alt (- (* x (+ (/ (* x (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 3))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))))>
#<alt (- (* x (+ (* x (+ (/ (* x (* (pow (sin y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (cos y) 4))) (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))))>
#<alt (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (sin y))))>
#<alt (/ (- (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) x)>
#<alt (/ (- (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 4) (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (sin y) 3))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) x)>
#<alt (/ (- (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (+ (* -1 (/ (* (pow z 4) (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* (pow z 5) (* (pow (cos y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (sin y) 4)))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) x)>
#<alt (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (sin y))))>
#<alt (* -1 (/ (- (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2))) (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (* -1 (/ (* (pow z 4) (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 3))))) x)) (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (* -1 (/ (+ (/ (* (pow z 4) (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)) (/ (* (pow z 5) (* (pow (cos y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 4)))) x))) x)) (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))) x))>
#<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 (/ (pow z 2) (* x (sin y)))>
#<alt (* (pow z 2) (+ (/ 1 (* x (sin y))) (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))))>
#<alt (* (pow z 2) (+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y)))))>
#<alt (* (pow z 2) (+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y)))))>
#<alt (* -1 (/ z (cos y)))>
#<alt (* z (- (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))))>
#<alt (* z (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (+ (/ 1 (cos y)) (/ (* x (sin y)) (* z (pow (cos y) 2))))))>
#<alt (* z (- (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (+ (/ 1 (cos y)) (+ (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))))))>
#<alt (* -1 (/ z (cos y)))>
#<alt (* -1 (* z (+ (/ 1 (cos y)) (/ (* x (sin y)) (* z (pow (cos y) 2))))))>
#<alt (* -1 (* z (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3)))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y)))))>
#<alt (* -1 (* z (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3)))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y)))))>
#<alt (* -1 (/ z (cos y)))>
#<alt (+ (* -1 (/ z (cos y))) (* -1 (/ (* x (sin y)) (pow (cos y) 2))))>
#<alt (+ (* -1 (/ z (cos y))) (* x (- (* -1 (/ (* x (pow (sin y) 2)) (* z (pow (cos y) 3)))) (/ (sin y) (pow (cos y) 2)))))>
#<alt (+ (* -1 (/ z (cos y))) (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 2) (pow (cos y) 4)))) (/ (pow (sin y) 2) (* z (pow (cos y) 3))))) (/ (sin y) (pow (cos y) 2)))))>
#<alt (/ (pow z 2) (* x (sin y)))>
#<alt (/ (+ (/ (* (pow z 3) (cos y)) (* x (pow (sin y) 2))) (/ (pow z 2) (sin y))) x)>
#<alt (/ (- (+ (/ (* (pow z 4) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3))) (/ (pow z 2) (sin y))) (* -1 (/ (* (pow z 3) (cos y)) (* x (pow (sin y) 2))))) x)>
#<alt (/ (- (+ (/ (* (pow z 5) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4))) (/ (pow z 2) (sin y))) (+ (* -1 (/ (* (pow z 3) (cos y)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 4) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))))) x)>
#<alt (/ (pow z 2) (* x (sin y)))>
#<alt (* -1 (/ (+ (* -1 (/ (* (pow z 3) (cos y)) (* x (pow (sin y) 2)))) (* -1 (/ (pow z 2) (sin y)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (/ (* (pow z 4) (pow (cos y) 2)) (* x (pow (sin y) 3))) (* -1 (/ (* (pow z 3) (cos y)) (pow (sin y) 2)))) x)) (* -1 (/ (pow z 2) (sin y)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 5) (pow (cos y) 3)) (* x (pow (sin y) 4)))) (/ (* (pow z 4) (pow (cos y) 2)) (pow (sin y) 3))) x)) (* -1 (/ (* (pow z 3) (cos y)) (pow (sin y) 2)))) x)) (* -1 (/ (pow z 2) (sin y)))) x))>
#<alt (* -1 z)>
#<alt (+ (* -1 z) (* -1 (* x y)))>
#<alt (+ (* -1 z) (* y (- (* -1 (* y (+ (* 1/2 z) (/ (pow x 2) z)))) x)))>
#<alt (+ (* -1 z) (* y (- (* y (- (* -1 (* y (+ (* -1/6 x) (+ (* 1/2 x) (/ (* x (+ (* 1/2 z) (/ (pow x 2) z))) z))))) (+ (* 1/2 z) (/ (pow x 2) z)))) x)))>
#<alt (/ (pow z 2) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (pow z 2) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (pow z 2) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (pow z 2) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (pow z 2) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (pow z 2) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (pow z 2) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (pow z 2) (- (* x (sin y)) (* z (cos y))))>
#<alt (* -1 (/ y z))>
#<alt (* y (- (* -1 (/ (* x y) (pow z 2))) (/ 1 z)))>
#<alt (* y (- (* y (- (* y (- (* 1/6 (/ 1 z)) (+ (* 1/2 (/ 1 z)) (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z)))>
#<alt (* y (- (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* x (- (* 1/6 (/ 1 z)) (+ (* 1/2 (/ 1 z)) (/ (pow x 2) (pow z 3))))) z)) (+ (* -1/6 (/ x (pow z 2))) (* 1/2 (/ x (pow z 2))))))) (* 1/6 (/ 1 z))) (+ (* 1/2 (/ 1 z)) (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z)))>
#<alt (/ (sin y) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (sin y) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (sin y) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (sin y) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (sin y) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (sin y) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (sin y) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (sin y) (- (* x (sin y)) (* z (cos y))))>
#<alt (* -1 (/ (sin y) (* z (cos y))))>
#<alt (+ (* -1 (/ (sin y) (* z (cos y)))) (* -1 (/ (* x (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))))>
#<alt (+ (* -1 (/ (sin y) (* z (cos y)))) (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))) (/ (pow (sin y) 2) (* (pow z 2) (pow (cos y) 2))))))>
#<alt (+ (* -1 (/ (sin y) (* z (cos y)))) (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))) (/ (pow (sin y) 3) (* (pow z 3) (pow (cos y) 3))))) (/ (pow (sin y) 2) (* (pow z 2) (pow (cos y) 2))))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (/ (* z (cos y)) (* x (sin y)))) x)>
#<alt (/ (- (+ 1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2)))) (* -1 (/ (* z (cos y)) (* x (sin y))))) x)>
#<alt (/ (- (+ 1 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 3)))) (+ (* -1 (/ (* z (cos y)) (* x (sin y)))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2)))))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* -1 (/ (* z (cos y)) (* x (sin y)))) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 2))) (* -1 (/ (* z (cos y)) (sin y)))) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 3)))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 2))) x)) (* -1 (/ (* z (cos y)) (sin y)))) x)) 1) x))>
#<alt (/ 1 x)>
#<alt (+ (/ 1 x) (/ (* z (cos y)) (* (pow x 2) (sin y))))>
#<alt (+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow x 2) (sin y)))))) (/ 1 x))>
#<alt (+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 3))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 2)))))) (* -1 (/ (cos y) (* (pow x 2) (sin y)))))) (/ 1 x))>
#<alt (* -1 (/ (sin y) (* z (cos y))))>
#<alt (/ (+ (* -1 (/ (sin y) (cos y))) (* -1 (/ (* x (pow (sin y) 2)) (* z (pow (cos y) 2))))) z)>
#<alt (/ (- (+ (* -1 (/ (sin y) (cos y))) (* -1 (/ (* (pow x 2) (pow (sin y) 3)) (* (pow z 2) (pow (cos y) 3))))) (/ (* x (pow (sin y) 2)) (* z (pow (cos y) 2)))) z)>
#<alt (/ (- (+ (* -1 (/ (sin y) (cos y))) (* -1 (/ (* (pow x 3) (pow (sin y) 4)) (* (pow z 3) (pow (cos y) 4))))) (+ (/ (* x (pow (sin y) 2)) (* z (pow (cos y) 2))) (/ (* (pow x 2) (pow (sin y) 3)) (* (pow z 2) (pow (cos y) 3))))) z)>
#<alt (* -1 (/ (sin y) (* z (cos y))))>
#<alt (* -1 (/ (+ (/ (sin y) (cos y)) (/ (* x (pow (sin y) 2)) (* z (pow (cos y) 2)))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 3)) (* z (pow (cos y) 3)))) (/ (* x (pow (sin y) 2)) (pow (cos y) 2))) z)) (/ (sin y) (cos y))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 4)) (* z (pow (cos y) 4))) (* -1 (/ (* (pow x 2) (pow (sin y) 3)) (pow (cos y) 3)))) z)) (/ (* x (pow (sin y) 2)) (pow (cos y) 2))) z)) (/ (sin y) (cos y))) z))>
Calls

93 calls:

TimeVariablePointExpression
6.0ms
y
@-inf
(+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (- 0 (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y)))))))
4.0ms
y
@inf
(/ 1 (+ (* z (cos y)) (* x (sin y))))
3.0ms
y
@inf
(+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (- 0 (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y)))))))
2.0ms
z
@inf
(+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (- 0 (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y)))))))
1.0ms
x
@0
(+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (- 0 (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y)))))))

rewrite281.0ms (2.8%)

Memory
-0.5MiB live, 236.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
1 132×accelerator-lowering-fma.f32
1 132×accelerator-lowering-fma.f64
916×*-lowering-*.f32
916×*-lowering-*.f64
694×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029149
1185129
01714125
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
13 → 361
Calls
Call 1
Inputs
(+ (* (cos y) z) (* x (sin y)))
(cos y)
(sin y)
(* x (sin y))
(+ (* x (sin y)) 0)
(/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y)))))
(/ 1 (+ (* z (cos y)) (* x (sin y))))
(+ (* z (cos y)) (* x (sin y)))
(+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (- 0 (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y)))))))
(- 0 (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))
(+ 1/2 (* 1/2 (cos (+ y y))))
(/ (* z z) (- (* x (sin y)) (* z (cos y))))
(/ (sin y) (- (* x (sin y)) (* z (cos y))))
Outputs
(+.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) (*.f64 (cos.f64 y) z))
(+.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z)))
(+.f64 #s(literal 0 binary64) (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))
(+.f64 (*.f64 (cos.f64 y) z) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(+.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) #s(literal 0 binary64))
(+.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) #s(literal 0 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)) (*.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) #s(literal 0 binary64))))
(+.f64 (*.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 y) z) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (cos.f64 y) z) #s(literal 1 binary64)) (*.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) #s(literal 1 binary64)))
(+.f64 (fma.f64 (cos.f64 y) z #s(literal 0 binary64)) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) (*.f64 z z)) (fma.f64 (cos.f64 y) z (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) x))) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)))) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (cos.f64 y) z (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) x))))
(fma.f64 (cos.f64 y) z (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
(fma.f64 x (sin.f64 y) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z)))
(fma.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 y) z) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z) (*.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) #s(literal 0 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) #s(literal 0 binary64))
(fma.f64 (*.f64 (cos.f64 y) z) #s(literal 1 binary64) (*.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)))) (*.f64 x x) #s(literal 0 binary64))) (*.f64 (cos.f64 y) z))
(fma.f64 (pow.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)))) (*.f64 x x) #s(literal 0 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z)))
(fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)))) (*.f64 x x) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) #s(literal 0 binary64))) (*.f64 (cos.f64 y) z))
(fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)))) (*.f64 x x) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) #s(literal 0 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z)))
(fma.f64 (+.f64 (pow.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) (fma.f64 x (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) (*.f64 z z)))) #s(literal 0 binary64))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) (*.f64 z z)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)))) (*.f64 x x) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) x))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) (fma.f64 x (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) (*.f64 z z))) (+.f64 (pow.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) x)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) (*.f64 z z)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)))) (*.f64 x x) #s(literal 0 binary64)))))
(/.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) (fma.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) (fma.f64 x (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) (*.f64 z z))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)))) (*.f64 x x) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 (sin.f64 y) (*.f64 x (*.f64 (cos.f64 y) z))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) (fma.f64 x (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) (*.f64 z z)))))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) (*.f64 z z)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)))) (*.f64 x x) #s(literal 0 binary64))) (fma.f64 (cos.f64 y) z (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) x)))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) (*.f64 z z)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)))) (*.f64 x x) #s(literal 0 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) x))))
(/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)))) (*.f64 x x) #s(literal 0 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) (*.f64 z z))) (fma.f64 x (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) (fma.f64 x (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) (*.f64 z z)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) (*.f64 z z)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)))) (*.f64 x x) #s(literal 0 binary64)))) (neg.f64 (fma.f64 (cos.f64 y) z (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) x))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) (fma.f64 x (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) (*.f64 z z))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) (*.f64 z z)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)))) (*.f64 x x) #s(literal 0 binary64)))) (fma.f64 (cos.f64 y) z (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) x)))
(pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))
(*.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))))
(*.f64 (+.f64 (pow.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) (fma.f64 x (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) (*.f64 z z)))))
(*.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) (*.f64 z z)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)))) (*.f64 x x) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))) #s(literal -1/2 binary64)))
(cos.f64 y)
(sin.f64 y)
(+.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(-.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) #s(literal 0 binary64))
(-.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) (fma.f64 x (sin.f64 y) #s(literal 0 binary64))))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(fma.f64 (sin.f64 y) x #s(literal 0 binary64))
(fma.f64 (pow.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)))) (*.f64 x x) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)))) (*.f64 x x) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) #s(literal 0 binary64))) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)))) (*.f64 x x) #s(literal 0 binary64)) (pow.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)))) (*.f64 x x) #s(literal 0 binary64))))
(/.f64 (pow.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)))) (*.f64 x x) #s(literal 0 binary64)))
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)))) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)))) (*.f64 x x) #s(literal 0 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)))) (*.f64 x x) #s(literal 0 binary64)))
(/.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)))) (*.f64 x x) #s(literal 0 binary64))) (neg.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)))) (*.f64 x x) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x (sin.f64 y) #s(literal 0 binary64))))
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 (pow.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)))) (*.f64 x x) #s(literal 0 binary64))))
(*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)))) (*.f64 x x) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) #s(literal 0 binary64))))
(+.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(-.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) #s(literal 0 binary64))
(-.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) (fma.f64 x (sin.f64 y) #s(literal 0 binary64))))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(fma.f64 (sin.f64 y) x #s(literal 0 binary64))
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(neg.f64 (/.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) (fma.f64 x (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (fma.f64 x (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z))) (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 x (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z))) (*.f64 z z)) #s(literal 1 binary64)))
(/.f64 (*.f64 z z) (fma.f64 x (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z))) (*.f64 z z))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (-.f64 #s(literal 0 binary64) (fma.f64 x (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z))))))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64)) (fma.f64 x (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z))))
(pow.f64 (/.f64 (fma.f64 x (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z))) (*.f64 z z)) #s(literal -1 binary64))
(*.f64 z (/.f64 z (fma.f64 x (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z)))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (fma.f64 x (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z)))))
(*.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z)))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z)))) (*.f64 z z))
(*.f64 (/.f64 z (fma.f64 x (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z)))) z)
(*.f64 (/.f64 (*.f64 z z) (-.f64 (pow.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 y) z) (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)))) (*.f64 x x) #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 z z) (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)))) (*.f64 x x) #s(literal 0 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) (*.f64 z z)))) (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))
(neg.f64 (/.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) (fma.f64 x (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) (fma.f64 x (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z)))))
(/.f64 (sin.f64 y) (fma.f64 x (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z))) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 x (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z))) (sin.f64 y)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z))) (sin.f64 y))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) (-.f64 #s(literal 0 binary64) (fma.f64 x (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z))))))
(/.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) (fma.f64 x (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z))))
(pow.f64 (/.f64 (fma.f64 x (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z))) (sin.f64 y)) #s(literal -1 binary64))
(*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z)))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) (fma.f64 x (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z)))))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z)))) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) (-.f64 (pow.f64 (fma.f64 x (sin.f64 y) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 y) z) (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)))) (*.f64 x x) #s(literal 0 binary64))))
(*.f64 (/.f64 (sin.f64 y) (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)))) (*.f64 x x) #s(literal 0 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) (*.f64 z z)))) (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))

simplify534.0ms (5.3%)

Memory
3.7MiB live, 882.1MiB allocated
Algorithm
1×egg-herbie
Rules
7 934×accelerator-lowering-fma.f32
7 934×accelerator-lowering-fma.f64
6 426×*-lowering-*.f32
6 426×*-lowering-*.f64
4 168×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09157573
132757328
082346966
Stop Event
1×iter limit
1×node limit
Counts
372 → 372
Calls
Call 1
Inputs
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
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)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(* x (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 (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* 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 (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* 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)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(/ 1 (* x (sin y)))
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y))))
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))
(/ 1 (* z (cos y)))
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z)
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z)
(/ 1 (* z (cos y)))
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(/ 1 z)
(+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))
(+ (* y (- (* y (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ x (pow z 2))) (+ (* 1/2 (/ x (pow z 2))) (/ (* x (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) z))))) (* 1/2 (/ 1 z))) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (* z (cos y)))
(+ (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y))))
(+ (* x (- (/ (* x (pow (sin y) 2)) (* (pow z 3) (pow (cos y) 3))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))
(+ (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow z 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))
(/ 1 (* x (sin y)))
(/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x)
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2)))) x)
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2))))) x)
(/ 1 (* x (sin y)))
(* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(- (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))))
(- (* x (+ (* x (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))))
(- (* x (+ (* x (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (+ (* x (- (/ (* (pow (sin y) 3) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (cos y) 4))) (/ (pow (sin y) 3) (* (pow z 2) (pow (cos y) 2))))) (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (- (+ (sin y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (pow x 2)))) (* -1 (/ (* z (cos y)) x))))
(* x (- (+ (sin y) (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (sin y) 2))))) (+ (* -1 (/ (* z (cos y)) x)) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 2)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y))))))))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (* -1 (* z (cos y)))) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2)))) x)) (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x)) (* -1 (* z (cos y)))) x)))))
z
(- (* x y) (* -1 z))
(- (* y (+ x (* y (- (+ (* -1 (/ (pow x 2) z)) (+ (* 1/2 z) (/ (pow x 2) z))) z)))) (* -1 z))
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z
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(/ (+ (* -1 (/ (sin y) (cos y))) (* -1 (/ (* x (pow (sin y) 2)) (* z (pow (cos y) 2))))) z)
(/ (- (+ (* -1 (/ (sin y) (cos y))) (* -1 (/ (* (pow x 2) (pow (sin y) 3)) (* (pow z 2) (pow (cos y) 3))))) (/ (* x (pow (sin y) 2)) (* z (pow (cos y) 2)))) z)
(/ (- (+ (* -1 (/ (sin y) (cos y))) (* -1 (/ (* (pow x 3) (pow (sin y) 4)) (* (pow z 3) (pow (cos y) 4))))) (+ (/ (* x (pow (sin y) 2)) (* z (pow (cos y) 2))) (/ (* (pow x 2) (pow (sin y) 3)) (* (pow z 2) (pow (cos y) 3))))) z)
(* -1 (/ (sin y) (* z (cos y))))
(* -1 (/ (+ (/ (sin y) (cos y)) (/ (* x (pow (sin y) 2)) (* z (pow (cos y) 2)))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 3)) (* z (pow (cos y) 3)))) (/ (* x (pow (sin y) 2)) (pow (cos y) 2))) z)) (/ (sin y) (cos y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 4)) (* z (pow (cos y) 4))) (* -1 (/ (* (pow x 2) (pow (sin y) 3)) (pow (cos y) 3)))) z)) (/ (* x (pow (sin y) 2)) (pow (cos y) 2))) z)) (/ (sin y) (cos y))) z))
Outputs
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) (-.f64 #s(literal 0 binary64) z))
(* z (cos y))
(*.f64 z (cos.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) (-.f64 #s(literal 0 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(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 (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x y)
(*.f64 x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 y (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 y y) x))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 y y)) (*.f64 x #s(literal -1/6 binary64))) x))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 y y)) (*.f64 x #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x y)
(*.f64 x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 y (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 y y) x))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 y y)) (*.f64 x #s(literal -1/6 binary64))) x))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 y y)) (*.f64 x #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) (-.f64 #s(literal 0 binary64) z))
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) (-.f64 #s(literal 0 binary64) x))
(/ 1 (* x (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) (/.f64 (*.f64 z (cos.f64 y)) (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))
(fma.f64 z (-.f64 (/.f64 (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (cos.f64 y) (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))
(fma.f64 z (fma.f64 z (fma.f64 z (neg.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 y) (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(/ 1 (* z (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (*.f64 x (sin.f64 y)) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) z)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z)
(/.f64 (-.f64 (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (/.f64 (*.f64 x (sin.f64 y)) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) z)
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 (*.f64 z (*.f64 z z)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))))) (-.f64 (/.f64 (*.f64 x (sin.f64 y)) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z z))))) z)
(/ 1 (* z (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))
(/.f64 (fma.f64 x (/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (-.f64 #s(literal 0 binary64) z))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 (*.f64 x (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) z)) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (-.f64 #s(literal 0 binary64) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(/.f64 (+.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) z)) (/.f64 (*.f64 x (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) z)) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (-.f64 #s(literal 0 binary64) z))
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(/.f64 (sin.f64 y) (fma.f64 x (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 z (cos.f64 y)))))
(/ (sin y) (- (* x (sin y)) (* z (cos y))))
(/.f64 (sin.f64 y) (fma.f64 x (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 z (cos.f64 y)))))
(/ (sin y) (- (* x (sin y)) (* z (cos y))))
(/.f64 (sin.f64 y) (fma.f64 x (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 z (cos.f64 y)))))
(/ (sin y) (- (* x (sin y)) (* z (cos y))))
(/.f64 (sin.f64 y) (fma.f64 x (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 z (cos.f64 y)))))
(/ (sin y) (- (* x (sin y)) (* z (cos y))))
(/.f64 (sin.f64 y) (fma.f64 x (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 z (cos.f64 y)))))
(/ (sin y) (- (* x (sin y)) (* z (cos y))))
(/.f64 (sin.f64 y) (fma.f64 x (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 z (cos.f64 y)))))
(* -1 (/ (sin y) (* z (cos y))))
(/.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 z (cos.f64 y))))
(+ (* -1 (/ (sin y) (* z (cos y)))) (* -1 (/ (* x (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))))
(neg.f64 (fma.f64 x (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z z))) (/.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))
(+ (* -1 (/ (sin y) (* z (cos y)))) (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))) (/ (pow (sin y) 2) (* (pow z 2) (pow (cos y) 2))))))
(fma.f64 x (neg.f64 (fma.f64 x (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z (*.f64 z z)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z z))))) (/.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 z (cos.f64 y)))))
(+ (* -1 (/ (sin y) (* z (cos y)))) (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))) (/ (pow (sin y) 3) (* (pow z 3) (pow (cos y) 3))))) (/ (pow (sin y) 2) (* (pow z 2) (pow (cos y) 2))))))
(fma.f64 x (fma.f64 x (neg.f64 (fma.f64 x (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z (*.f64 z z)))))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z z))))) (/.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 z (cos.f64 y)))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (/ (* z (cos y)) (* x (sin y)))) x)
(/.f64 (fma.f64 z (/.f64 (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 1 binary64)) x)
(/ (- (+ 1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2)))) (* -1 (/ (* z (cos y)) (* x (sin y))))) x)
(/.f64 (fma.f64 (*.f64 z z) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (fma.f64 z (/.f64 (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 1 binary64))) x)
(/ (- (+ 1 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 3)))) (+ (* -1 (/ (* z (cos y)) (* x (sin y)))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2)))))) x)
(/.f64 (-.f64 (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) (*.f64 x (sin.f64 y))) (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z z)) (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* -1 (/ (* z (cos y)) (* x (sin y)))) 1) x))
(/.f64 (fma.f64 z (/.f64 (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 2))) (* -1 (/ (* z (cos y)) (sin y)))) x)) 1) x))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 z z) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 3)))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 2))) x)) (* -1 (/ (* z (cos y)) (sin y)))) x)) 1) x))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z z)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (/ 1 x) (/ (* z (cos y)) (* (pow x 2) (sin y))))
(fma.f64 z (/.f64 (cos.f64 y) (*.f64 (sin.f64 y) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow x 2) (sin y)))))) (/ 1 x))
(fma.f64 z (fma.f64 z (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x (*.f64 x x)))) (/.f64 (cos.f64 y) (*.f64 (sin.f64 y) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x))
(+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 3))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 2)))))) (* -1 (/ (cos y) (* (pow x 2) (sin y)))))) (/ 1 x))
(fma.f64 z (fma.f64 z (fma.f64 z (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x (*.f64 x x))))) (/.f64 (cos.f64 y) (*.f64 (sin.f64 y) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x))
(* -1 (/ (sin y) (* z (cos y))))
(/.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 z (cos.f64 y))))
(/ (+ (* -1 (/ (sin y) (cos y))) (* -1 (/ (* x (pow (sin y) 2)) (* z (pow (cos y) 2))))) z)
(/.f64 (fma.f64 x (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (sin.f64 y) (cos.f64 y))) (-.f64 #s(literal 0 binary64) z))
(/ (- (+ (* -1 (/ (sin y) (cos y))) (* -1 (/ (* (pow x 2) (pow (sin y) 3)) (* (pow z 2) (pow (cos y) 3))))) (/ (* x (pow (sin y) 2)) (* z (pow (cos y) 2)))) z)
(/.f64 (fma.f64 (*.f64 x x) (neg.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z z)))) (neg.f64 (fma.f64 x (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (sin.f64 y) (cos.f64 y))))) z)
(/ (- (+ (* -1 (/ (sin y) (cos y))) (* -1 (/ (* (pow x 3) (pow (sin y) 4)) (* (pow z 3) (pow (cos y) 4))))) (+ (/ (* x (pow (sin y) 2)) (* z (pow (cos y) 2))) (/ (* (pow x 2) (pow (sin y) 3)) (* (pow z 2) (pow (cos y) 3))))) z)
(/.f64 (-.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (*.f64 (*.f64 z (*.f64 z z)) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (/.f64 (sin.f64 y) (cos.f64 y)))) (fma.f64 x (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z z))))) z)
(* -1 (/ (sin y) (* z (cos y))))
(/.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 z (cos.f64 y))))
(* -1 (/ (+ (/ (sin y) (cos y)) (/ (* x (pow (sin y) 2)) (* z (pow (cos y) 2)))) z))
(/.f64 (fma.f64 x (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (sin.f64 y) (cos.f64 y))) (-.f64 #s(literal 0 binary64) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 3)) (* z (pow (cos y) 3)))) (/ (* x (pow (sin y) 2)) (pow (cos y) 2))) z)) (/ (sin y) (cos y))) z))
(/.f64 (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (neg.f64 (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) z)) (-.f64 #s(literal 0 binary64) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 4)) (* z (pow (cos y) 4))) (* -1 (/ (* (pow x 2) (pow (sin y) 3)) (pow (cos y) 3)))) z)) (/ (* x (pow (sin y) 2)) (pow (cos y) 2))) z)) (/ (sin y) (cos y))) z))
(/.f64 (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) z)) (/.f64 (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z)) (-.f64 #s(literal 0 binary64) z))

eval166.0ms (1.6%)

Memory
43.7MiB live, 307.3MiB allocated
Compiler

Compiled 34 842 to 1 973 computations (94.3% saved)

prune138.0ms (1.4%)

Memory
-26.0MiB live, 281.5MiB allocated
Pruning

30 alts after pruning (28 fresh and 2 done)

PrunedKeptTotal
New1 002241 026
Fresh8412
Picked325
Done000
Total1 013301 043
Accuracy
100.0%
Counts
1 043 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.0%
(fma.f64 (*.f64 x (*.f64 x (sin.f64 y))) (/.f64 (sin.f64 y) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) z)
48.3%
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 x (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 z (cos.f64 y))))) (*.f64 (neg.f64 (*.f64 z z)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (fma.f64 x (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 z (cos.f64 y)))))))
▶99.9%
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
✓99.9%
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
49.7%
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
32.7%
(fma.f64 y (fma.f64 y (-.f64 (-.f64 (fma.f64 z #s(literal 1/2 binary64) (/.f64 (*.f64 x x) z)) (/.f64 (*.f64 x x) z)) z) x) z)
51.2%
(fma.f64 y x z)
57.6%
(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 (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
99.0%
(fma.f64 x (*.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)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
14.3%
(fma.f64 x (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) #s(literal 0 binary64))
61.0%
(/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
36.7%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (*.f64 z (cos.f64 y)) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) x))
60.7%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (*.f64 x (sin.f64 y)) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) z))
▶49.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z)))
51.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))
40.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
40.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
35.2%
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (/.f64 y (*.f64 z z)))))
49.2%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) #s(literal -1/2 binary64))))
77.6%
(+.f64 (*.f64 x (sin.f64 y)) z)
49.2%
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))) #s(literal -1/2 binary64)))
▶40.0%
(*.f64 (sin.f64 y) x)
92.4%
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
▶61.0%
(*.f64 z (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))))
61.4%
(*.f64 z (cos.f64 y))
14.3%
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 y y)) (*.f64 x #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))
14.3%
(*.f64 y (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 y y) x))
90.1%
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
▶14.4%
(*.f64 x y)
✓40.3%
z
Compiler

Compiled 1 051 to 594 computations (43.5% saved)

simplify63.0ms (0.6%)

Memory
-15.6MiB live, 23.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(cos.f64 (*.f64 y #s(literal -2 binary64)))
✓cost-diff0
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
✓cost-diff0
(*.f64 z (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))))
✓cost-diff7104
(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)))
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(*.f64 (sin.f64 y) x)
✓cost-diff0
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x)
✓cost-diff0
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z))
✓cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z)))
✓cost-diff0
(*.f64 x y)
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(*.f64 (cos.f64 y) z)
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
Rules
446×*-lowering-*.f32
446×*-lowering-*.f64
332×accelerator-lowering-fma.f32
332×accelerator-lowering-fma.f64
198×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027137
159137
2115137
3181131
4311131
5377131
6559131
7601131
8610131
9628131
10628131
11631131
12636131
13636131
14637131
15639131
16639131
0639121
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* (sin y) x) (* (cos y) z))
(sin y)
y
x
(* (cos y) z)
(cos y)
z
(* x y)
x
y
(/ 1 (/ 1 (+ (* y (+ (* -1/2 (* z y)) x)) z)))
1
(/ 1 (+ (* y (+ (* -1/2 (* z y)) x)) z))
(+ (* y (+ (* -1/2 (* z y)) x)) z)
y
(+ (* -1/2 (* z y)) x)
-1/2
(* z y)
z
x
(* (sin y) x)
(sin y)
y
x
(* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))))
z
(+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))
1/2
(/ (cos (* y -2)) (cos y))
(cos (* y -2))
(* y -2)
y
-2
(cos y)
(/ 1/2 (cos y))
Outputs
(+ (* (sin y) x) (* (cos y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(sin y)
(sin.f64 y)
y
x
(* (cos y) z)
(*.f64 (cos.f64 y) z)
(cos y)
(cos.f64 y)
z
(* x y)
(*.f64 y x)
x
y
(/ 1 (/ 1 (+ (* y (+ (* -1/2 (* z y)) x)) z)))
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
1
#s(literal 1 binary64)
(/ 1 (+ (* y (+ (* -1/2 (* z y)) x)) z))
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
(+ (* y (+ (* -1/2 (* z y)) x)) z)
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
y
(+ (* -1/2 (* z y)) x)
(fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x)
-1/2
#s(literal -1/2 binary64)
(* z y)
(*.f64 y z)
z
x
(* (sin y) x)
(*.f64 (sin.f64 y) x)
(sin y)
(sin.f64 y)
y
x
(* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))))
(*.f64 (/.f64 z (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
z
(+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 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
#s(literal 1/2 binary64)
(/ (cos (* y -2)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(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)
(/ 1/2 (cos y))
(/.f64 #s(literal 1/2 binary64) (cos.f64 y))

localize96.0ms (1%)

Memory
31.0MiB live, 144.8MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 z (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))))
✓accuracy99.8%
(/.f64 #s(literal 1/2 binary64) (cos.f64 y))
✓accuracy99.7%
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
✓accuracy99.0%
(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)))
✓accuracy100.0%
(sin.f64 y)
✓accuracy99.8%
(*.f64 (sin.f64 y) x)
✓accuracy100.0%
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x)
✓accuracy99.9%
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z)
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z)))
✓accuracy100.0%
(*.f64 x y)
✓accuracy100.0%
(sin.f64 y)
✓accuracy100.0%
(cos.f64 y)
✓accuracy99.9%
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
✓accuracy99.8%
(*.f64 (cos.f64 y) z)
Samples
65.0ms256×0valid
Compiler

Compiled 133 to 29 computations (78.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-cos: 13.0ms (29.3% of total)
ival-mult: 13.0ms (29.3% of total)
ival-sin: 7.0ms (15.8% of total)
ival-div: 6.0ms (13.5% of total)
ival-add: 4.0ms (9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series36.0ms (0.4%)

Memory
-12.0MiB live, 62.0MiB allocated
Counts
15 → 348
Calls
Call 1
Inputs
#<alt (+ (* (sin y) x) (* (cos y) z))>
#<alt (sin y)>
#<alt (* (cos y) z)>
#<alt (cos y)>
#<alt (* x y)>
#<alt (/ 1 (/ 1 (+ (* y (+ (* -1/2 (* z y)) x)) z)))>
#<alt (/ 1 (+ (* y (+ (* -1/2 (* z y)) x)) z))>
#<alt (+ (* y (+ (* -1/2 (* z y)) x)) z)>
#<alt (+ (* -1/2 (* z y)) x)>
#<alt (* (sin y) x)>
#<alt (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))>
#<alt (* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))))>
#<alt (/ (cos (* y -2)) (cos y))>
#<alt (cos (* y -2))>
#<alt (/ 1/2 (cos y))>
Outputs
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* x (sin y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt z>
#<alt (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (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 y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ x y) (/ z (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ x y) (/ z (pow y 2)))))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)))>
#<alt (* x y)>
#<alt (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z))))>
#<alt (* -1 (* z (- (* 1/2 (pow y 2)) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1)))>
#<alt (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (+ z (+ (* -1/2 (* (pow y 2) z)) (* x y)))>
#<alt (+ z (+ (* -1/2 (* (pow y 2) z)) (* x y)))>
#<alt (+ z (+ (* -1/2 (* (pow y 2) z)) (* x y)))>
#<alt (* x y)>
#<alt (* x (+ y (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))))>
#<alt (* x (+ y (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))))>
#<alt (* x (+ y (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)))))>
#<alt (/ 1 z)>
#<alt (+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))>
#<alt (+ (* y (- (* y (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))>
#<alt (+ (* y (- (* y (- (+ (* -1 (* y (+ (* 1/2 (/ x (pow z 2))) (/ (* x (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) z)))) (* 1/2 (/ 1 z))) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))>
#<alt (/ -2 (* (pow y 2) z))>
#<alt (/ (- (* -4 (/ x (* y (pow z 2)))) (* 2 (/ 1 z))) (pow y 2))>
#<alt (/ (- (* -1 (/ (+ (* 4 (/ 1 z)) (* 8 (/ (pow x 2) (pow z 3)))) (pow y 2))) (+ (* 4 (/ x (* y (pow z 2)))) (* 2 (/ 1 z)))) (pow y 2))>
#<alt (/ (- (* -1 (/ (+ (* 2 (/ (* x (+ (* 8 (/ (pow x 2) (pow z 3))) (* 4 (/ 1 z)))) z)) (* 8 (/ x (pow z 2)))) (pow y 3))) (+ (* 4 (/ x (* y (pow z 2)))) (+ (* 8 (/ (pow x 2) (* (pow y 2) (pow z 3)))) (+ (* 2 (/ 1 z)) (* 4 (/ 1 (* (pow y 2) z))))))) (pow y 2))>
#<alt (/ -2 (* (pow y 2) z))>
#<alt (/ (- (* -4 (/ x (* y (pow z 2)))) (* 2 (/ 1 z))) (pow y 2))>
#<alt (/ (- (* -1 (/ (- (+ (* 8 (/ (pow x 2) (* y (pow z 3)))) (/ 4 (* y z))) (* -4 (/ x (pow z 2)))) y)) (* 2 (/ 1 z))) (pow y 2))>
#<alt (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -8 (/ x (* y (pow z 2)))) (* -2 (/ (* x (+ (* 8 (/ (pow x 2) (pow z 3))) (* 4 (/ 1 z)))) (* y z)))) (+ (* 4 (/ 1 z)) (* 8 (/ (pow x 2) (pow z 3))))) y)) (* -4 (/ x (pow z 2)))) y)) (* 2 (/ 1 z))) (pow y 2))>
#<alt (/ 1 (* x y))>
#<alt (+ (* z (- (* 1/2 (/ 1 (pow x 2))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y)))>
#<alt (+ (* z (- (+ (* -1 (/ (* z (* (+ 1 (* -1/2 (pow y 2))) (- (* 1/2 (/ 1 (pow x 2))) (/ 1 (* (pow x 2) (pow y 2)))))) (* x y))) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y)))>
#<alt (+ (* z (- (+ (* 1/2 (/ 1 (pow x 2))) (* z (- (/ (* z (* (pow (+ 1 (* -1/2 (pow y 2))) 2) (- (* 1/2 (/ 1 (pow x 2))) (/ 1 (* (pow x 2) (pow y 2)))))) (* (pow x 2) (pow y 2))) (/ (* (+ 1 (* -1/2 (pow y 2))) (- (* 1/2 (/ 1 (pow x 2))) (/ 1 (* (pow x 2) (pow y 2))))) (* x y))))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y)))>
#<alt (/ 1 (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (/ (+ (* -1 (/ (* x y) (* z (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (/ 1 (+ 1 (* -1/2 (pow y 2))))) z)>
#<alt (/ (- (+ (/ 1 (+ 1 (* -1/2 (pow y 2)))) (/ (* (pow x 2) (pow y 2)) (* (pow z 2) (pow (+ 1 (* -1/2 (pow y 2))) 3)))) (/ (* x y) (* z (pow (+ 1 (* -1/2 (pow y 2))) 2)))) z)>
#<alt (/ (- (+ (* -1 (/ (* (pow x 3) (pow y 3)) (* (pow z 3) (pow (+ 1 (* -1/2 (pow y 2))) 4)))) (/ 1 (+ 1 (* -1/2 (pow y 2))))) (+ (* -1 (/ (* (pow x 2) (pow y 2)) (* (pow z 2) (pow (+ 1 (* -1/2 (pow y 2))) 3)))) (/ (* x y) (* z (pow (+ 1 (* -1/2 (pow y 2))) 2))))) z)>
#<alt (/ -1 (* z (- (* 1/2 (pow y 2)) 1)))>
#<alt (* -1 (/ (+ (/ 1 (- (* 1/2 (pow y 2)) 1)) (/ (* x y) (* z (pow (- (* 1/2 (pow y 2)) 1) 2)))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow y 2)) (* z (pow (- (* 1/2 (pow y 2)) 1) 3)))) (/ (* x y) (pow (- (* 1/2 (pow y 2)) 1) 2))) z)) (/ 1 (- (* 1/2 (pow y 2)) 1))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow y 3)) (* z (pow (- (* 1/2 (pow y 2)) 1) 4))) (* -1 (/ (* (pow x 2) (pow y 2)) (pow (- (* 1/2 (pow y 2)) 1) 3)))) z)) (/ (* x y) (pow (- (* 1/2 (pow y 2)) 1) 2))) z)) (/ 1 (- (* 1/2 (pow y 2)) 1))) z))>
#<alt (/ 1 (+ z (* -1/2 (* (pow y 2) z))))>
#<alt (+ (* -1 (/ (* x y) (pow (+ z (* -1/2 (* (pow y 2) z))) 2))) (/ 1 (+ z (* -1/2 (* (pow y 2) z)))))>
#<alt (+ (* x (- (/ (* x (pow y 2)) (pow (+ z (* -1/2 (* (pow y 2) z))) 3)) (/ y (pow (+ z (* -1/2 (* (pow y 2) z))) 2)))) (/ 1 (+ z (* -1/2 (* (pow y 2) z)))))>
#<alt (+ (* x (- (* x (- (* -1 (/ (* x (pow y 3)) (pow (+ z (* -1/2 (* (pow y 2) z))) 4))) (* -1 (/ (pow y 2) (pow (+ z (* -1/2 (* (pow y 2) z))) 3))))) (/ y (pow (+ z (* -1/2 (* (pow y 2) z))) 2)))) (/ 1 (+ z (* -1/2 (* (pow y 2) z)))))>
#<alt (/ 1 (* x y))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 z) (/ z (pow y 2))) x)) (/ 1 y)) x)>
#<alt (/ (- (+ (/ 1 y) (/ (* (+ z (* -1/2 (* (pow y 2) z))) (+ (* -1/2 z) (/ z (pow y 2)))) (* (pow x 2) y))) (+ (* -1/2 (/ z x)) (/ z (* x (pow y 2))))) x)>
#<alt (/ (- (+ (* -1 (/ (* (pow (+ z (* -1/2 (* (pow y 2) z))) 2) (+ (* -1/2 z) (/ z (pow y 2)))) (* (pow x 3) (pow y 2)))) (/ 1 y)) (+ (* -1 (/ (* (+ z (* -1/2 (* (pow y 2) z))) (+ (* -1/2 z) (/ z (pow y 2)))) (* (pow x 2) y))) (+ (* -1/2 (/ z x)) (/ z (* x (pow y 2)))))) x)>
#<alt (/ 1 (* x y))>
#<alt (* -1 (/ (- (+ (* -1/2 (/ z x)) (/ z (* x (pow y 2)))) (/ 1 y)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (+ z (* -1/2 (* (pow y 2) z))) (+ (* -1/2 z) (/ z (pow y 2)))) (* x y)) (+ (* -1/2 z) (/ z (pow y 2)))) x)) (/ 1 y)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ z (* -1/2 (* (pow y 2) z))) 2) (+ (* -1/2 z) (/ z (pow y 2)))) (* x (pow y 2))) (/ (* (+ z (* -1/2 (* (pow y 2) z))) (+ (* -1/2 z) (/ z (pow y 2)))) y)) x)) (+ (* -1/2 z) (/ z (pow y 2)))) x)) (/ 1 y)) x))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ x y) (/ z (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ x y) (/ z (pow y 2)))))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)))>
#<alt (* x y)>
#<alt (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z))))>
#<alt (* -1 (* z (- (* 1/2 (pow y 2)) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1)))>
#<alt (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (+ z (+ (* -1/2 (* (pow y 2) z)) (* x y)))>
#<alt (+ z (+ (* -1/2 (* (pow y 2) z)) (* x y)))>
#<alt (+ z (+ (* -1/2 (* (pow y 2) z)) (* x y)))>
#<alt (* x y)>
#<alt (* x (+ y (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))))>
#<alt (* x (+ y (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))))>
#<alt (* x (+ y (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)))))>
#<alt x>
#<alt (+ x (* -1/2 (* y z)))>
#<alt (+ x (* -1/2 (* y z)))>
#<alt (+ x (* -1/2 (* y z)))>
#<alt (* -1/2 (* y z))>
#<alt (* z (+ (* -1/2 y) (/ x z)))>
#<alt (* z (+ (* -1/2 y) (/ x z)))>
#<alt (* z (+ (* -1/2 y) (/ x z)))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* 1/2 y))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* 1/2 y))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* 1/2 y))))>
#<alt x>
#<alt (+ x (* -1/2 (* y z)))>
#<alt (+ x (* -1/2 (* y z)))>
#<alt (+ x (* -1/2 (* y z)))>
#<alt (* -1/2 (* y z))>
#<alt (* y (+ (* -1/2 z) (/ x y)))>
#<alt (* y (+ (* -1/2 z) (/ x y)))>
#<alt (* y (+ (* -1/2 z) (/ x y)))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* 1/2 z))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* 1/2 z))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* 1/2 z))))>
#<alt (* -1/2 (* y z))>
#<alt (+ x (* -1/2 (* y z)))>
#<alt (+ x (* -1/2 (* y z)))>
#<alt (+ x (* -1/2 (* y z)))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 (/ (* y z) x))))>
#<alt (* x (+ 1 (* -1/2 (/ (* y z) x))))>
#<alt (* x (+ 1 (* -1/2 (/ (* y z) x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1)))>
#<alt (* x y)>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin 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 (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))>
#<alt (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))>
#<alt (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))>
#<alt (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))>
#<alt (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))>
#<alt (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))>
#<alt (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))>
#<alt (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))>
#<alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt z>
#<alt (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))>
#<alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt 1>
#<alt (+ 1 (* -3/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* -1/8 (pow y 2)) 3/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (- (* -7/80 (pow y 2)) 1/8)) 3/2)))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (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 1/2>
#<alt (+ 1/2 (* 1/4 (pow y 2)))>
#<alt (+ 1/2 (* (pow y 2) (+ 1/4 (* 5/48 (pow y 2)))))>
#<alt (+ 1/2 (* (pow y 2) (+ 1/4 (* (pow y 2) (+ 5/48 (* 61/1440 (pow y 2)))))))>
#<alt (/ 1/2 (cos y))>
#<alt (/ 1/2 (cos y))>
#<alt (/ 1/2 (cos y))>
#<alt (/ 1/2 (cos y))>
#<alt (/ 1/2 (cos y))>
#<alt (/ 1/2 (cos y))>
#<alt (/ 1/2 (cos y))>
#<alt (/ 1/2 (cos y))>
Calls

87 calls:

TimeVariablePointExpression
6.0ms
z
@-inf
(/ 1 (+ (* y (+ (* -1/2 (* z y)) x)) z))
4.0ms
y
@-inf
(+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))
2.0ms
z
@0
(* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))))
2.0ms
z
@inf
(/ 1 (+ (* y (+ (* -1/2 (* z y)) x)) z))
1.0ms
y
@inf
(+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))

rewrite448.0ms (4.4%)

Memory
11.2MiB live, 756.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 508×accelerator-lowering-fma.f32
6 508×accelerator-lowering-fma.f64
4 202×*-lowering-*.f32
4 202×*-lowering-*.f64
3 510×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027111
1134111
21055111
08386101
Stop Event
1×iter limit
1×node limit
Counts
15 → 522
Calls
Call 1
Inputs
(+ (* (sin y) x) (* (cos y) z))
(sin y)
(* (cos y) z)
(cos y)
(* x y)
(/ 1 (/ 1 (+ (* y (+ (* -1/2 (* z y)) x)) z)))
(/ 1 (+ (* y (+ (* -1/2 (* z y)) x)) z))
(+ (* y (+ (* -1/2 (* z y)) x)) z)
(+ (* -1/2 (* z y)) x)
(* (sin y) x)
(+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))
(* z (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))))
(/ (cos (* y -2)) (cos y))
(cos (* y -2))
(/ 1/2 (cos y))
Outputs
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (fma.f64 (sin.f64 y) x (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z)))) (neg.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (fma.f64 (sin.f64 y) x (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z))))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (fma.f64 (sin.f64 y) x (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z)))) (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (fma.f64 (sin.f64 y) x (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z)))))
(-.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (fma.f64 (cos.f64 y) z (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) x)))) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (fma.f64 (cos.f64 y) z (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) x)))))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(fma.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) x (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z)))) (neg.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (fma.f64 (sin.f64 y) x (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z))))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) x))))))))
(neg.f64 (/.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (-.f64 #s(literal 0 binary64) (*.f64 z z)))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) x (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z))))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) x))) (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z))))))
(/.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (-.f64 #s(literal 0 binary64) (*.f64 z z)))) (fma.f64 (sin.f64 y) x (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) x)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (-.f64 #s(literal 0 binary64) (*.f64 z z))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) x (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z)))))
(/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (fma.f64 (cos.f64 y) z (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) x))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (fma.f64 (sin.f64 y) x (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z)))) (*.f64 (fma.f64 (sin.f64 y) x (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (*.f64 (fma.f64 (sin.f64 y) x (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z))) (fma.f64 (sin.f64 y) x (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) x))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (-.f64 #s(literal 0 binary64) (*.f64 z z)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) x (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) z))))))
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(*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
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(*.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 (cos.f64 y) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (/.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) y))))))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (*.f64 z #s(literal 1/2 binary64))) (cos.f64 y))))
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(*.f64 (*.f64 z (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (/.f64 #s(literal 1 binary64) (/.f64 (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 1/8 binary64) (pow.f64 (cos.f64 y) #s(literal -3 binary64)) (pow.f64 (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 3 binary64))) z) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))))
(*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) z) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (cos.f64 y))))
(*.f64 (/.f64 z #s(literal 1/2 binary64)) (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (/.f64 (-.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) #s(literal 1/2 binary64)) (/.f64 z (/.f64 (-.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 y))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 y))) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 y))))
(neg.f64 (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 y))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64)))))))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 y)))
(pow.f64 (/.f64 (cos.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)))
(*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 y))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (cos.f64 (*.f64 y #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (cos.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal -1/2 binary64)))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))
(neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))
(*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))
(*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/2 binary64) (cos.f64 y)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (cos.f64 y)))
(neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (cos.f64 y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (cos.f64 y) #s(literal -2 binary64))))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 y)))
(/.f64 #s(literal 1/2 binary64) (cos.f64 y))
(/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 y) #s(literal -2 binary64)))
(pow.f64 (*.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 y)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (cos.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (*.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal -1/2 binary64)))

simplify685.0ms (6.8%)

Memory
-106.6MiB live, 859.4MiB allocated
Algorithm
1×egg-herbie
Rules
6 858×accelerator-lowering-fma.f32
6 858×accelerator-lowering-fma.f64
6 032×*-lowering-*.f32
6 032×*-lowering-*.f64
2 694×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04743969
115093918
250483871
082283568
Stop Event
1×iter limit
1×node limit
Counts
348 → 348
Calls
Call 1
Inputs
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
z
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
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)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* -1/2 (* y z)))))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (/ x y)))
(* (pow y 2) (+ (* -1/2 z) (+ (/ x y) (/ z (pow y 2)))))
(* (pow y 2) (+ (* -1/2 z) (+ (/ x y) (/ z (pow y 2)))))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (/ x y)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)))
(* x y)
(+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))
(+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))
(+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z))))
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
(* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1)))
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x y)))
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x y)))
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x y)))
(* x y)
(* x (+ y (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))))
(* x (+ y (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))))
(* x (+ y (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)))))
(/ 1 z)
(+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))
(+ (* y (- (* y (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* 1/2 (/ x (pow z 2))) (/ (* x (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) z)))) (* 1/2 (/ 1 z))) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
(/ -2 (* (pow y 2) z))
(/ (- (* -4 (/ x (* y (pow z 2)))) (* 2 (/ 1 z))) (pow y 2))
(/ (- (* -1 (/ (+ (* 4 (/ 1 z)) (* 8 (/ (pow x 2) (pow z 3)))) (pow y 2))) (+ (* 4 (/ x (* y (pow z 2)))) (* 2 (/ 1 z)))) (pow y 2))
(/ (- (* -1 (/ (+ (* 2 (/ (* x (+ (* 8 (/ (pow x 2) (pow z 3))) (* 4 (/ 1 z)))) z)) (* 8 (/ x (pow z 2)))) (pow y 3))) (+ (* 4 (/ x (* y (pow z 2)))) (+ (* 8 (/ (pow x 2) (* (pow y 2) (pow z 3)))) (+ (* 2 (/ 1 z)) (* 4 (/ 1 (* (pow y 2) z))))))) (pow y 2))
(/ -2 (* (pow y 2) z))
(/ (- (* -4 (/ x (* y (pow z 2)))) (* 2 (/ 1 z))) (pow y 2))
(/ (- (* -1 (/ (- (+ (* 8 (/ (pow x 2) (* y (pow z 3)))) (/ 4 (* y z))) (* -4 (/ x (pow z 2)))) y)) (* 2 (/ 1 z))) (pow y 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -8 (/ x (* y (pow z 2)))) (* -2 (/ (* x (+ (* 8 (/ (pow x 2) (pow z 3))) (* 4 (/ 1 z)))) (* y z)))) (+ (* 4 (/ 1 z)) (* 8 (/ (pow x 2) (pow z 3))))) y)) (* -4 (/ x (pow z 2)))) y)) (* 2 (/ 1 z))) (pow y 2))
(/ 1 (* x y))
(+ (* z (- (* 1/2 (/ 1 (pow x 2))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y)))
(+ (* z (- (+ (* -1 (/ (* z (* (+ 1 (* -1/2 (pow y 2))) (- (* 1/2 (/ 1 (pow x 2))) (/ 1 (* (pow x 2) (pow y 2)))))) (* x y))) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y)))
(+ (* z (- (+ (* 1/2 (/ 1 (pow x 2))) (* z (- (/ (* z (* (pow (+ 1 (* -1/2 (pow y 2))) 2) (- (* 1/2 (/ 1 (pow x 2))) (/ 1 (* (pow x 2) (pow y 2)))))) (* (pow x 2) (pow y 2))) (/ (* (+ 1 (* -1/2 (pow y 2))) (- (* 1/2 (/ 1 (pow x 2))) (/ 1 (* (pow x 2) (pow y 2))))) (* x y))))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y)))
(/ 1 (* z (+ 1 (* -1/2 (pow y 2)))))
(/ (+ (* -1 (/ (* x y) (* z (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (/ 1 (+ 1 (* -1/2 (pow y 2))))) z)
(/ (- (+ (/ 1 (+ 1 (* -1/2 (pow y 2)))) (/ (* (pow x 2) (pow y 2)) (* (pow z 2) (pow (+ 1 (* -1/2 (pow y 2))) 3)))) (/ (* x y) (* z (pow (+ 1 (* -1/2 (pow y 2))) 2)))) z)
(/ (- (+ (* -1 (/ (* (pow x 3) (pow y 3)) (* (pow z 3) (pow (+ 1 (* -1/2 (pow y 2))) 4)))) (/ 1 (+ 1 (* -1/2 (pow y 2))))) (+ (* -1 (/ (* (pow x 2) (pow y 2)) (* (pow z 2) (pow (+ 1 (* -1/2 (pow y 2))) 3)))) (/ (* x y) (* z (pow (+ 1 (* -1/2 (pow y 2))) 2))))) z)
(/ -1 (* z (- (* 1/2 (pow y 2)) 1)))
(* -1 (/ (+ (/ 1 (- (* 1/2 (pow y 2)) 1)) (/ (* x y) (* z (pow (- (* 1/2 (pow y 2)) 1) 2)))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow y 2)) (* z (pow (- (* 1/2 (pow y 2)) 1) 3)))) (/ (* x y) (pow (- (* 1/2 (pow y 2)) 1) 2))) z)) (/ 1 (- (* 1/2 (pow y 2)) 1))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow y 3)) (* z (pow (- (* 1/2 (pow y 2)) 1) 4))) (* -1 (/ (* (pow x 2) (pow y 2)) (pow (- (* 1/2 (pow y 2)) 1) 3)))) z)) (/ (* x y) (pow (- (* 1/2 (pow y 2)) 1) 2))) z)) (/ 1 (- (* 1/2 (pow y 2)) 1))) z))
(/ 1 (+ z (* -1/2 (* (pow y 2) z))))
(+ (* -1 (/ (* x y) (pow (+ z (* -1/2 (* (pow y 2) z))) 2))) (/ 1 (+ z (* -1/2 (* (pow y 2) z)))))
(+ (* x (- (/ (* x (pow y 2)) (pow (+ z (* -1/2 (* (pow y 2) z))) 3)) (/ y (pow (+ z (* -1/2 (* (pow y 2) z))) 2)))) (/ 1 (+ z (* -1/2 (* (pow y 2) z)))))
(+ (* x (- (* x (- (* -1 (/ (* x (pow y 3)) (pow (+ z (* -1/2 (* (pow y 2) z))) 4))) (* -1 (/ (pow y 2) (pow (+ z (* -1/2 (* (pow y 2) z))) 3))))) (/ y (pow (+ z (* -1/2 (* (pow y 2) z))) 2)))) (/ 1 (+ z (* -1/2 (* (pow y 2) z)))))
(/ 1 (* x y))
(/ (+ (* -1 (/ (+ (* -1/2 z) (/ z (pow y 2))) x)) (/ 1 y)) x)
(/ (- (+ (/ 1 y) (/ (* (+ z (* -1/2 (* (pow y 2) z))) (+ (* -1/2 z) (/ z (pow y 2)))) (* (pow x 2) y))) (+ (* -1/2 (/ z x)) (/ z (* x (pow y 2))))) x)
(/ (- (+ (* -1 (/ (* (pow (+ z (* -1/2 (* (pow y 2) z))) 2) (+ (* -1/2 z) (/ z (pow y 2)))) (* (pow x 3) (pow y 2)))) (/ 1 y)) (+ (* -1 (/ (* (+ z (* -1/2 (* (pow y 2) z))) (+ (* -1/2 z) (/ z (pow y 2)))) (* (pow x 2) y))) (+ (* -1/2 (/ z x)) (/ z (* x (pow y 2)))))) x)
(/ 1 (* x y))
(* -1 (/ (- (+ (* -1/2 (/ z x)) (/ z (* x (pow y 2)))) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (+ z (* -1/2 (* (pow y 2) z))) (+ (* -1/2 z) (/ z (pow y 2)))) (* x y)) (+ (* -1/2 z) (/ z (pow y 2)))) x)) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ z (* -1/2 (* (pow y 2) z))) 2) (+ (* -1/2 z) (/ z (pow y 2)))) (* x (pow y 2))) (/ (* (+ z (* -1/2 (* (pow y 2) z))) (+ (* -1/2 z) (/ z (pow y 2)))) y)) x)) (+ (* -1/2 z) (/ z (pow y 2)))) x)) (/ 1 y)) x))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* -1/2 (* y z)))))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (/ x y)))
(* (pow y 2) (+ (* -1/2 z) (+ (/ x y) (/ z (pow y 2)))))
(* (pow y 2) (+ (* -1/2 z) (+ (/ x y) (/ z (pow y 2)))))
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(* (pow y 2) (+ (* -1/2 z) (/ x y)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)))
(* x y)
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(+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))
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(* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1)))
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(+ z (+ (* -1/2 (* (pow y 2) z)) (* x y)))
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x
(+ x (* -1/2 (* y z)))
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(* -1 (* z (+ (* -1 (/ x z)) (* 1/2 y))))
x
(+ x (* -1/2 (* y z)))
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(* -1/2 (* y z))
(* y (+ (* -1/2 z) (/ x y)))
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x
(* x (+ 1 (* -1/2 (/ (* y z) x))))
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(* x (sin y))
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1
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(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
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z
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(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
1
(+ 1 (* -3/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* -1/8 (pow y 2)) 3/2)))
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(/ (cos (* -2 y)) (cos y))
(/ (cos (* -2 y)) (cos y))
(/ (cos (* -2 y)) (cos y))
(/ (cos (* -2 y)) (cos y))
(/ (cos (* -2 y)) (cos y))
(/ (cos (* -2 y)) (cos y))
(/ (cos (* -2 y)) (cos y))
(/ (cos (* -2 y)) (cos y))
1
(+ 1 (* -2 (pow y 2)))
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(+ 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))
1/2
(+ 1/2 (* 1/4 (pow y 2)))
(+ 1/2 (* (pow y 2) (+ 1/4 (* 5/48 (pow y 2)))))
(+ 1/2 (* (pow y 2) (+ 1/4 (* (pow y 2) (+ 5/48 (* 61/1440 (pow y 2)))))))
(/ 1/2 (cos y))
(/ 1/2 (cos y))
(/ 1/2 (cos y))
(/ 1/2 (cos y))
(/ 1/2 (cos y))
(/ 1/2 (cos y))
(/ 1/2 (cos y))
(/ 1/2 (cos y))
Outputs
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (sin y))
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(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
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(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (sin y))
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(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
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(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (cos y))
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(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
y
(* y (+ 1 (* -1/6 (pow y 2))))
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(*.f64 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)))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(sin y)
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(sin y)
(sin.f64 y)
(sin y)
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z
(+ z (* -1/2 (* (pow y 2) z)))
(*.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
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(fma.f64 y (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z)
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(* z (cos y))
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(*.f64 z (cos.f64 y))
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(*.f64 z (cos.f64 y))
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(*.f64 z (cos.f64 y))
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(*.f64 z (cos.f64 y))
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(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (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 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
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(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
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(cos y)
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(cos y)
(cos.f64 y)
(* x y)
(*.f64 x y)
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(* x y)
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(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(* -1/2 (* (pow y 2) z))
(*.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y y)))
(* (pow y 2) (+ (* -1/2 z) (/ x y)))
(*.f64 (*.f64 y y) (fma.f64 z #s(literal -1/2 binary64) (/.f64 x y)))
(* (pow y 2) (+ (* -1/2 z) (+ (/ x y) (/ z (pow y 2)))))
(*.f64 (*.f64 y y) (+.f64 (/.f64 x y) (fma.f64 z #s(literal -1/2 binary64) (/.f64 z (*.f64 y y)))))
(* (pow y 2) (+ (* -1/2 z) (+ (/ x y) (/ z (pow y 2)))))
(*.f64 (*.f64 y y) (+.f64 (/.f64 x y) (fma.f64 z #s(literal -1/2 binary64) (/.f64 z (*.f64 y y)))))
(* -1/2 (* (pow y 2) z))
(*.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y y)))
(* (pow y 2) (+ (* -1/2 z) (/ x y)))
(*.f64 (*.f64 y y) (fma.f64 z #s(literal -1/2 binary64) (/.f64 x y)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)))
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(*.f64 z (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))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 z (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))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 z (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))))
z
(+ z (* -1/2 (* (pow y 2) z)))
(*.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(fma.f64 y (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z)
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 z (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))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 z (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))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 z (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))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 z (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))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 z (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))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 z (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))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 z (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))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
1
#s(literal 1 binary64)
(+ 1 (* -3/2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -3/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* -1/8 (pow y 2)) 3/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) #s(literal -3/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (* -7/80 (pow y 2)) 1/8)) 3/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -7/80 binary64) #s(literal -1/8 binary64)) #s(literal -3/2 binary64)) #s(literal 1 binary64))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -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 (*.f64 y y) #s(literal 2/3 binary64) #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow y 2) (+ 1/4 (* 5/48 (pow y 2)))))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 5/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* (pow y 2) (+ 1/4 (* (pow y 2) (+ 5/48 (* 61/1440 (pow y 2)))))))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 61/1440 binary64) #s(literal 5/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(/ 1/2 (cos y))
(/.f64 #s(literal 1/2 binary64) (cos.f64 y))
(/ 1/2 (cos y))
(/.f64 #s(literal 1/2 binary64) (cos.f64 y))
(/ 1/2 (cos y))
(/.f64 #s(literal 1/2 binary64) (cos.f64 y))
(/ 1/2 (cos y))
(/.f64 #s(literal 1/2 binary64) (cos.f64 y))
(/ 1/2 (cos y))
(/.f64 #s(literal 1/2 binary64) (cos.f64 y))
(/ 1/2 (cos y))
(/.f64 #s(literal 1/2 binary64) (cos.f64 y))
(/ 1/2 (cos y))
(/.f64 #s(literal 1/2 binary64) (cos.f64 y))
(/ 1/2 (cos y))
(/.f64 #s(literal 1/2 binary64) (cos.f64 y))

eval134.0ms (1.3%)

Memory
-34.9MiB live, 328.7MiB allocated
Compiler

Compiled 22 736 to 2 053 computations (91% saved)

prune143.0ms (1.4%)

Memory
-10.1MiB live, 389.9MiB allocated
Pruning

48 alts after pruning (42 fresh and 6 done)

PrunedKeptTotal
New90322925
Fresh32023
Picked145
Done022
Total90748955
Accuracy
100.0%
Counts
955 → 48
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.7%
(fma.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) y z)
60.9%
(fma.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) z (*.f64 z (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 (cos.f64 y) #s(literal 2 binary64)))))
49.6%
(fma.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) y (fma.f64 y x z))
37.9%
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z)
58.0%
(fma.f64 (*.f64 x (*.f64 x (sin.f64 y))) (/.f64 (sin.f64 y) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) z)
48.3%
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 x (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 z (cos.f64 y))))) (*.f64 (neg.f64 (*.f64 z z)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (fma.f64 x (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 z (cos.f64 y)))))))
✓99.9%
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
77.6%
(fma.f64 (sin.f64 y) x z)
✓99.9%
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
49.7%
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z)
32.7%
(fma.f64 y (fma.f64 y (-.f64 (-.f64 (fma.f64 z #s(literal 1/2 binary64) (/.f64 (*.f64 x x) z)) (/.f64 (*.f64 x x) z)) z) x) z)
▶38.0%
(fma.f64 y (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) z)
▶51.2%
(fma.f64 y x z)
57.6%
(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 (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
▶99.0%
(fma.f64 x (*.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)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
14.3%
(fma.f64 x (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) #s(literal 0 binary64))
61.0%
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) z) (cos.f64 y) (*.f64 (cos.f64 y) (*.f64 z #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))
61.0%
(/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
36.7%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (*.f64 z (cos.f64 y)) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) x))
60.7%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (*.f64 x (sin.f64 y)) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) z))
10.8%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 z (*.f64 y y))) x)) x))
49.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) y (fma.f64 y x z))))
45.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 z x)) #s(literal -1 binary64))) z)))
37.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) z)))
40.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
14.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
40.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
▶35.2%
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (/.f64 y (*.f64 z z)))))
49.2%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) #s(literal -1/2 binary64))))
49.7%
(+.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x)) z)
77.6%
(+.f64 (*.f64 x (sin.f64 y)) z)
49.2%
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))) #s(literal -1/2 binary64)))
48.2%
(*.f64 (-.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64)) (/.f64 (*.f64 x y) z)) (-.f64 #s(literal 0 binary64) z))
14.3%
(*.f64 (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))) x)
14.3%
(*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) x)
18.3%
(*.f64 (*.f64 y y) (fma.f64 z #s(literal -1/2 binary64) (/.f64 (+.f64 x (/.f64 z y)) y)))
✓40.0%
(*.f64 (sin.f64 y) x)
37.9%
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
38.0%
(*.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
▶92.4%
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
✓61.0%
(*.f64 z (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))))
61.4%
(*.f64 z (cos.f64 y))
14.3%
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/120 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))) (*.f64 x #s(literal -1/6 binary64))) x))
14.3%
(*.f64 y (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 y y) x))
90.1%
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
✓14.4%
(*.f64 x y)
3.0%
(*.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y y)))
✓40.3%
z
Compiler

Compiled 1 635 to 966 computations (40.9% saved)

simplify856.0ms (8.5%)

Memory
-9.1MiB live, 812.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(/.f64 (sin.f64 y) z)
✓cost-diff0
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
✓cost-diff704
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
✓cost-diff0
(/.f64 y (*.f64 z z))
✓cost-diff0
(/.f64 #s(literal 1 binary64) z)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (/.f64 y (*.f64 z z)))))
✓cost-diff192
(-.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (/.f64 y (*.f64 z z))))
✓cost-diff0
(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
✓cost-diff0
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
✓cost-diff0
(*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))
✓cost-diff0
(fma.f64 y (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) z)
✓cost-diff0
(fma.f64 y x z)
✓cost-diff0
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(*.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)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
✓cost-diff13888
(fma.f64 x (*.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)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
Rules
21 156×accelerator-lowering-fma.f32
21 156×accelerator-lowering-fma.f64
3 604×+-lowering-+.f64
3 604×+-lowering-+.f32
3 460×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041247
1102247
2256247
3632236
41111234
51915234
63697234
76681234
08058217
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* x (* (sin y) (/ (+ (* 1/2 (cos (* y -2))) 1/2) (pow (cos y) 2)))) (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)))
x
(* (sin y) (/ (+ (* 1/2 (cos (* y -2))) 1/2) (pow (cos y) 2)))
(sin y)
y
(/ (+ (* 1/2 (cos (* y -2))) 1/2) (pow (cos y) 2))
(+ (* 1/2 (cos (* y -2))) 1/2)
1/2
(cos (* y -2))
(* y -2)
-2
(pow (cos y) 2)
(cos y)
2
(/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y))
(* z (+ (* 1/2 (cos (* y -2))) 1/2))
z
(+ (* y x) z)
y
x
z
(+ (* y (* y (* z (+ (* (* y y) 1/24) -1/2)))) z)
y
(* y (* z (+ (* (* y y) 1/24) -1/2)))
(* z (+ (* (* y y) 1/24) -1/2))
z
(+ (* (* y y) 1/24) -1/2)
(* y y)
1/24
-1/2
(/ 1 (- (/ 1 z) (* x (/ y (* z z)))))
1
(- (/ 1 z) (* x (/ y (* z z))))
(/ 1 z)
z
(* x (/ y (* z z)))
x
(/ y (* z z))
y
(* z z)
(* z (+ (* x (/ (sin y) z)) (cos y)))
z
(+ (* x (/ (sin y) z)) (cos y))
x
(/ (sin y) z)
(sin y)
y
(cos y)
Outputs
(+ (* x (* (sin y) (/ (+ (* 1/2 (cos (* y -2))) 1/2) (pow (cos y) 2)))) (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)))
(/.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 x (cos.f64 y)) z)) (cos.f64 y))
x
(* (sin y) (/ (+ (* 1/2 (cos (* y -2))) 1/2) (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 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(sin y)
(sin.f64 y)
y
(/ (+ (* 1/2 (cos (* y -2))) 1/2) (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)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(+ (* 1/2 (cos (* y -2))) 1/2)
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(cos (* y -2))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(* y -2)
(*.f64 y #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(cos y)
(cos.f64 y)
2
#s(literal 2 binary64)
(/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
(* z (+ (* 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)) z)
z
(+ (* y x) z)
(fma.f64 x y z)
y
x
z
(+ (* y (* y (* z (+ (* (* y y) 1/24) -1/2)))) z)
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
y
(* y (* z (+ (* (* y y) 1/24) -1/2)))
(*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(* z (+ (* (* y y) 1/24) -1/2))
(*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
z
(+ (* (* y y) 1/24) -1/2)
(fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(* y y)
(*.f64 y y)
1/24
#s(literal 1/24 binary64)
-1/2
#s(literal -1/2 binary64)
(/ 1 (- (/ 1 z) (* x (/ y (* z z)))))
(/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 x (/.f64 y z) #s(literal -1 binary64)) #s(literal 0 binary64)))
1
#s(literal 1 binary64)
(- (/ 1 z) (* x (/ y (* z z))))
(fma.f64 (/.f64 #s(literal -1 binary64) z) (fma.f64 x (/.f64 y z) #s(literal -1 binary64)) #s(literal 0 binary64))
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
z
(* x (/ y (* z z)))
(fma.f64 x (/.f64 y (fma.f64 z z #s(literal 0 binary64))) #s(literal 0 binary64))
x
(/ y (* z z))
(/.f64 y (fma.f64 z z #s(literal 0 binary64)))
y
(* z z)
(fma.f64 z z #s(literal 0 binary64))
(* z (+ (* x (/ (sin y) z)) (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
z
(+ (* x (/ (sin y) z)) (cos y))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
x
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(sin y)
(sin.f64 y)
y
(cos y)
(cos.f64 y)

localize194.0ms (1.9%)

Memory
5.4MiB live, 234.5MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cos.f64 y)
✓accuracy99.8%
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
✓accuracy99.8%
(/.f64 (sin.f64 y) z)
✓accuracy92.5%
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
✓accuracy100.0%
(-.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (/.f64 y (*.f64 z z))))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (/.f64 y (*.f64 z z)))))
✓accuracy89.3%
(/.f64 y (*.f64 z z))
✓accuracy87.0%
(*.f64 x (/.f64 y (*.f64 z z)))
✓accuracy100.0%
(fma.f64 y (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) z)
✓accuracy99.9%
(*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))
✓accuracy99.6%
(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
✓accuracy92.2%
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
✓accuracy100.0%
(fma.f64 y x z)
✓accuracy99.8%
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
✓accuracy99.7%
(/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
✓accuracy99.6%
(pow.f64 (cos.f64 y) #s(literal 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
109.0ms256×0valid
Compiler

Compiled 233 to 43 computations (81.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 89.0ms
ival-mult: 33.0ms (37.2% of total)
ival-sin: 20.0ms (22.5% of total)
ival-cos: 11.0ms (12.4% of total)
ival-div: 10.0ms (11.3% of total)
ival-add: 8.0ms (9% of total)
const: 4.0ms (4.5% of total)
ival-pow2: 2.0ms (2.3% of total)
ival-sub: 1.0ms (1.1% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series65.0ms (0.6%)

Memory
8.8MiB live, 126.9MiB allocated
Counts
22 → 516
Calls
Call 1
Inputs
#<alt (+ (* x (* (sin y) (/ (+ (* 1/2 (cos (* y -2))) 1/2) (pow (cos y) 2)))) (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)))>
#<alt (* (sin y) (/ (+ (* 1/2 (cos (* y -2))) 1/2) (pow (cos y) 2)))>
#<alt (sin y)>
#<alt (/ (+ (* 1/2 (cos (* y -2))) 1/2) (pow (cos y) 2))>
#<alt (+ (* y x) z)>
#<alt (+ (* y (* y (* z (+ (* (* y y) 1/24) -1/2)))) z)>
#<alt (* y (* z (+ (* (* y y) 1/24) -1/2)))>
#<alt (* z (+ (* (* y y) 1/24) -1/2))>
#<alt (+ (* (* y y) 1/24) -1/2)>
#<alt (- (/ 1 z) (* x (/ y (* z z))))>
#<alt (/ 1 (- (/ 1 z) (* x (/ y (* z z)))))>
#<alt (/ 1 z)>
#<alt (/ y (* z z))>
#<alt (* z (+ (* x (/ (sin y) z)) (cos y)))>
#<alt (+ (* x (/ (sin y) z)) (cos y))>
#<alt (/ (sin y) z)>
#<alt (+ (* 1/2 (cos (* y -2))) 1/2)>
#<alt (pow (cos y) 2)>
#<alt (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y))>
#<alt (* z (+ (* 1/2 (cos (* y -2))) 1/2))>
#<alt (* x (/ y (* z z)))>
#<alt (cos y)>
Outputs
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (* x (+ (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))>
#<alt (* x (+ (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))>
#<alt (* x (+ (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))>
#<alt (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (* -1 (* x (+ (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))>
#<alt (* -1 (* x (+ (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))>
#<alt (* -1 (* x (+ (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* y (- (* -1 z) (* -1/2 z))))))>
#<alt (+ z (* y (+ x (* y (- (+ (* -1 z) (* y (- (* -7/6 x) (* -1 x)))) (* -1/2 z))))))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (+ (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* z (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2))))))>
#<alt (* z (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2))))))>
#<alt (* z (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2))))))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))>
#<alt (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))>
#<alt (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))>
#<alt (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))>
#<alt (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))>
#<alt (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))>
#<alt (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))>
#<alt (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (pow (cos y) 2))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (pow (cos y) 2))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (pow (cos y) 2))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (pow (cos y) 2))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (pow (cos y) 2))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (pow (cos y) 2))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (pow (cos y) 2))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (pow (cos y) 2))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (/ z y)))>
#<alt (* y (+ x (/ z y)))>
#<alt (* y (+ x (/ z y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (/ z x)))>
#<alt (* x (+ y (/ z x)))>
#<alt (* x (+ y (/ z x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* x y)>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt z>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt z>
#<alt (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))>
#<alt (* 1/24 (* (pow y 4) z))>
#<alt (* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))>
#<alt (* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (+ (* 1/24 z) (/ z (pow y 4)))))>
#<alt (* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (+ (* 1/24 z) (/ z (pow y 4)))))>
#<alt (* 1/24 (* (pow y 4) z))>
#<alt (* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))>
#<alt (* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (+ (* 1/24 z) (/ z (pow y 4)))))>
#<alt (* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (+ (* 1/24 z) (/ z (pow y 4)))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) 1)))>
#<alt (* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) 1)))>
#<alt (* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) 1)))>
#<alt (* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) 1)))>
#<alt (* -1/2 (* y z))>
#<alt (* y (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))>
#<alt (* y (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))>
#<alt (* y (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))>
#<alt (* 1/24 (* (pow y 3) z))>
#<alt (* (pow y 3) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))>
#<alt (* (pow y 3) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))>
#<alt (* (pow y 3) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))>
#<alt (* 1/24 (* (pow y 3) z))>
#<alt (* -1 (* (pow y 3) (+ (* -1/24 z) (* 1/2 (/ z (pow y 2))))))>
#<alt (* -1 (* (pow y 3) (+ (* -1/24 z) (* 1/2 (/ z (pow y 2))))))>
#<alt (* -1 (* (pow y 3) (+ (* -1/24 z) (* 1/2 (/ z (pow y 2))))))>
#<alt (* y (* z (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (* y (* z (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (* y (* z (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (* y (* z (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (* y (* z (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (* y (* z (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (* y (* z (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (* y (* z (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (* y (* z (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (* y (* z (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (* y (* z (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (* y (* z (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* -1/2 z)>
#<alt (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))>
#<alt (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))>
#<alt (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))>
#<alt (* 1/24 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))>
#<alt (* 1/24 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))>
#<alt -1/2>
#<alt (- (* 1/24 (pow y 2)) 1/2)>
#<alt (- (* 1/24 (pow y 2)) 1/2)>
#<alt (- (* 1/24 (pow y 2)) 1/2)>
#<alt (* 1/24 (pow y 2))>
#<alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* 1/24 (pow y 2))>
#<alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* -1 (/ (* x y) (pow z 2)))>
#<alt (/ (- z (* x y)) (pow z 2))>
#<alt (/ (- z (* x y)) (pow z 2))>
#<alt (/ (- z (* x y)) (pow z 2))>
#<alt (/ 1 z)>
#<alt (/ (+ 1 (* -1 (/ (* x y) z))) z)>
#<alt (/ (+ 1 (* -1 (/ (* x y) z))) z)>
#<alt (/ (+ 1 (* -1 (/ (* x y) z))) z)>
#<alt (/ 1 z)>
#<alt (* -1 (/ (- (/ (* x y) z) 1) z))>
#<alt (* -1 (/ (- (/ (* x y) z) 1) z))>
#<alt (* -1 (/ (- (/ (* x y) z) 1) z))>
#<alt (/ 1 z)>
#<alt (+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))>
#<alt (+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))>
#<alt (+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))>
#<alt (* -1 (/ (* x y) (pow z 2)))>
#<alt (* x (- (/ 1 (* x z)) (/ y (pow z 2))))>
#<alt (* x (- (/ 1 (* x z)) (/ y (pow z 2))))>
#<alt (* x (- (/ 1 (* x z)) (/ y (pow z 2))))>
#<alt (* -1 (/ (* x y) (pow z 2)))>
#<alt (* x (+ (* -1 (/ y (pow z 2))) (/ 1 (* x z))))>
#<alt (* x (+ (* -1 (/ y (pow z 2))) (/ 1 (* x z))))>
#<alt (* x (+ (* -1 (/ y (pow z 2))) (/ 1 (* x z))))>
#<alt (/ 1 z)>
#<alt (+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))>
#<alt (+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))>
#<alt (+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))>
#<alt (* -1 (/ (* x y) (pow z 2)))>
#<alt (* y (- (/ 1 (* y z)) (/ x (pow z 2))))>
#<alt (* y (- (/ 1 (* y z)) (/ x (pow z 2))))>
#<alt (* y (- (/ 1 (* y z)) (/ x (pow z 2))))>
#<alt (* -1 (/ (* x y) (pow z 2)))>
#<alt (* y (+ (* -1 (/ x (pow z 2))) (/ 1 (* y z))))>
#<alt (* y (+ (* -1 (/ x (pow z 2))) (/ 1 (* y z))))>
#<alt (* y (+ (* -1 (/ x (pow z 2))) (/ 1 (* y z))))>
#<alt (* -1 (/ (pow z 2) (* x y)))>
#<alt (* (pow z 2) (- (* -1 (/ z (* (pow x 2) (pow y 2)))) (/ 1 (* x y))))>
#<alt (* (pow z 2) (- (* z (- (* -1 (/ z (* (pow x 3) (pow y 3)))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))))>
#<alt (* (pow z 2) (- (* z (- (* z (- (* -1 (/ z (* (pow x 4) (pow y 4)))) (/ 1 (* (pow x 3) (pow y 3))))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))))>
#<alt z>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt (* z (- (+ 1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* -1 (/ (* x y) z))))>
#<alt (* z (- (+ 1 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2))))))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (- (/ (* (pow x 2) (pow y 2)) z) (* -1 (* x y))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 3) (pow y 3)) z)) (* (pow x 2) (pow y 2))) z)) (* -1 (* x y))) z)) 1)))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* x (- (/ (* x (pow y 2)) z) (* -1 y))))>
#<alt (+ z (* x (- (* x (- (/ (* x (pow y 3)) (pow z 2)) (* -1 (/ (pow y 2) z)))) (* -1 y))))>
#<alt (* -1 (/ (pow z 2) (* x y)))>
#<alt (/ (+ (* -1 (/ (pow z 2) y)) (* -1 (/ (pow z 3) (* x (pow y 2))))) x)>
#<alt (/ (- (+ (* -1 (/ (pow z 2) y)) (* -1 (/ (pow z 4) (* (pow x 2) (pow y 3))))) (/ (pow z 3) (* x (pow y 2)))) x)>
#<alt (/ (- (+ (* -1 (/ (pow z 2) y)) (* -1 (/ (pow z 5) (* (pow x 3) (pow y 4))))) (+ (/ (pow z 3) (* x (pow y 2))) (/ (pow z 4) (* (pow x 2) (pow y 3))))) x)>
#<alt (* -1 (/ (pow z 2) (* x y)))>
#<alt (* -1 (/ (+ (/ (pow z 2) y) (/ (pow z 3) (* x (pow y 2)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow z 4) (* x (pow y 3)))) (/ (pow z 3) (pow y 2))) x)) (/ (pow z 2) y)) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow z 5) (* x (pow y 4))) (* -1 (/ (pow z 4) (pow y 3)))) x)) (/ (pow z 3) (pow y 2))) x)) (/ (pow z 2) y)) x))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (- (/ (* (pow x 2) y) z) (* -1 x))))>
#<alt (+ z (* y (- (* y (- (/ (* (pow x 3) y) (pow z 2)) (* -1 (/ (pow x 2) z)))) (* -1 x))))>
#<alt (* -1 (/ (pow z 2) (* x y)))>
#<alt (/ (+ (* -1 (/ (pow z 2) x)) (* -1 (/ (pow z 3) (* (pow x 2) y)))) y)>
#<alt (/ (- (+ (* -1 (/ (pow z 2) x)) (* -1 (/ (pow z 4) (* (pow x 3) (pow y 2))))) (/ (pow z 3) (* (pow x 2) y))) y)>
#<alt (/ (- (+ (* -1 (/ (pow z 2) x)) (* -1 (/ (pow z 5) (* (pow x 4) (pow y 3))))) (+ (/ (pow z 3) (* (pow x 2) y)) (/ (pow z 4) (* (pow x 3) (pow y 2))))) y)>
#<alt (* -1 (/ (pow z 2) (* x y)))>
#<alt (* -1 (/ (+ (/ (pow z 2) x) (/ (pow z 3) (* (pow x 2) y))) y))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow z 4) (* (pow x 3) y))) (/ (pow z 3) (pow x 2))) y)) (/ (pow z 2) x)) y))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow z 5) (* (pow x 4) y)) (* -1 (/ (pow z 4) (pow x 3)))) y)) (/ (pow z 3) (pow x 2))) y)) (/ (pow z 2) x)) y))>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (* x (sin y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* z (cos y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (cos y)>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (/ (* x (sin y)) z)>
#<alt (* x (+ (/ (cos y) x) (/ (sin y) z)))>
#<alt (* x (+ (/ (cos y) x) (/ (sin y) z)))>
#<alt (* x (+ (/ (cos y) x) (/ (sin y) z)))>
#<alt (/ (* x (sin y)) z)>
#<alt (* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))>
#<alt (* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))>
#<alt (* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))>
#<alt 1>
#<alt (+ 1 (/ (* x y) z))>
#<alt (+ 1 (* y (+ (* -1/2 y) (/ x z))))>
#<alt (+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z))))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (+ (* x (sin y)) (* z (cos y))) z)>
#<alt (/ (+ (* x (sin y)) (* z (cos y))) z)>
#<alt (/ (+ (* x (sin y)) (* z (cos y))) z)>
#<alt (cos y)>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (cos y)>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (/ y z)>
#<alt (* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))>
#<alt (* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)))>
#<alt (* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)))>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<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 (* -1 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt z>
#<alt (+ z (* (pow y 2) (- (* -1 z) (* -1/2 z))))>
#<alt (+ z (* (pow y 2) (- (+ (* -1 z) (* (pow y 2) (- (* 1/3 z) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z))))) (* -1/2 z))))>
#<alt (+ z (* (pow y 2) (- (+ (* -1 z) (* (pow y 2) (- (+ (* 1/3 z) (* (pow y 2) (- (* -2/45 z) (+ (* -1/2 (- (* 1/3 z) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z)))) (+ (* -1/720 z) (* 1/24 (- (* -1 z) (* -1/2 z)))))))) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z))))) (* -1/2 z))))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt z>
#<alt (+ z (* -1 (* (pow y 2) z)))>
#<alt (+ z (* (pow y 2) (+ (* -1 z) (* 1/3 (* (pow y 2) z)))))>
#<alt (+ z (* (pow y 2) (+ (* -1 z) (* (pow y 2) (+ (* -2/45 (* (pow y 2) z)) (* 1/3 z))))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 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

129 calls:

TimeVariablePointExpression
15.0ms
y
@-inf
(/ 1 (- (/ 1 z) (* x (/ y (* z z)))))
5.0ms
z
@inf
(+ (* y (* y (* z (+ (* (* y y) 1/24) -1/2)))) z)
2.0ms
y
@inf
(+ (* x (* (sin y) (/ (+ (* 1/2 (cos (* y -2))) 1/2) (pow (cos y) 2)))) (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)))
2.0ms
y
@-inf
(+ (* x (* (sin y) (/ (+ (* 1/2 (cos (* y -2))) 1/2) (pow (cos y) 2)))) (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)))
2.0ms
x
@0
(+ (* x (* (sin y) (/ (+ (* 1/2 (cos (* y -2))) 1/2) (pow (cos y) 2)))) (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)))

rewrite483.0ms (4.8%)

Memory
-0.5MiB live, 839.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 608×*-lowering-*.f32
4 608×*-lowering-*.f64
4 602×accelerator-lowering-fma.f32
4 602×accelerator-lowering-fma.f64
4 250×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041210
1234210
21880202
08359186
Stop Event
1×iter limit
1×node limit
Counts
22 → 821
Calls
Call 1
Inputs
(+ (* x (* (sin y) (/ (+ (* 1/2 (cos (* y -2))) 1/2) (pow (cos y) 2)))) (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)))
(* (sin y) (/ (+ (* 1/2 (cos (* y -2))) 1/2) (pow (cos y) 2)))
(sin y)
(/ (+ (* 1/2 (cos (* y -2))) 1/2) (pow (cos y) 2))
(+ (* y x) z)
(+ (* y (* y (* z (+ (* (* y y) 1/24) -1/2)))) z)
(* y (* z (+ (* (* y y) 1/24) -1/2)))
(* z (+ (* (* y y) 1/24) -1/2))
(+ (* (* y y) 1/24) -1/2)
(- (/ 1 z) (* x (/ y (* z z))))
(/ 1 (- (/ 1 z) (* x (/ y (* z z)))))
(/ 1 z)
(/ y (* z z))
(* z (+ (* x (/ (sin y) z)) (cos y)))
(+ (* x (/ (sin y) z)) (cos y))
(/ (sin y) z)
(+ (* 1/2 (cos (* y -2))) 1/2)
(pow (cos y) 2)
(/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y))
(* z (+ (* 1/2 (cos (* y -2))) 1/2))
(* x (/ y (* z z)))
(cos y)
Outputs
(+.f64 (*.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)) (tan.f64 y))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) z) (cos.f64 y)))
(+.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) z) (cos.f64 y)) (*.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)) (tan.f64 y))))
(-.f64 (/.f64 (pow.f64 (*.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)) (tan.f64 y))) #s(literal 2 binary64)) (-.f64 (*.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)) (tan.f64 y))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) z) (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)) z) (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.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)) (tan.f64 y))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) z) (cos.f64 y)))))
(-.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)) z) (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)) z) (cos.f64 y)) (*.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)) (tan.f64 y))))) (/.f64 (pow.f64 (*.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)) (tan.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)) z) (cos.f64 y)) (*.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)) (tan.f64 y))))))
(fma.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)) (tan.f64 y)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) z) (cos.f64 y)))
(fma.f64 (sin.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) x) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) z) (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 z (/.f64 #s(literal 1 binary64) (cos.f64 y))) (*.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)) (tan.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 z (cos.f64 y)) (*.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)) (tan.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 x (sin.f64 y)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) z) (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)) (cos.f64 y)) (tan.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)) z) (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)) (cos.f64 y)) (*.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)) (tan.f64 y))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) z) (/.f64 #s(literal 1 binary64) (cos.f64 y)) (*.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)) (tan.f64 y))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) z) (cos.f64 y)) (*.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)) (tan.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 #s(literal 0 binary64) z)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 y))) (*.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)) (tan.f64 y))))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) z) (*.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)) (tan.f64 y))))
(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)) z)) #s(literal -1 binary64)) (*.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)) (tan.f64 y))))
(fma.f64 (*.f64 x (sin.f64 y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) z) (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)) z (*.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)) (tan.f64 y))))
(fma.f64 (tan.f64 y) (/.f64 x (/.f64 (cos.f64 y) (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)) z) (cos.f64 y)))
(fma.f64 (*.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (sin.f64 y) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) z) (cos.f64 y)))
(fma.f64 (*.f64 (*.f64 x (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) z) (cos.f64 y)))
(fma.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))) (cos.f64 y)) (/.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)) z) (cos.f64 y)))
(fma.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 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 (*.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)) (tan.f64 y))))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) z) (cos.f64 y)) (*.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)) (tan.f64 y))))
(fma.f64 (/.f64 x (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))) (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)) z) (cos.f64 y)))
(fma.f64 (/.f64 x (cos.f64 y)) (/.f64 (sin.f64 y) (/.f64 (cos.f64 y) (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)) z) (cos.f64 y)))
(fma.f64 (/.f64 (*.f64 x (sin.f64 y)) (cos.f64 y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) z) (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)) z) (sqrt.f64 (cos.f64 y))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 y))) (*.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)) (tan.f64 y))))
(fma.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) z) (cos.f64 y)))
(fma.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (/.f64 (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 #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/4 binary64))))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) z) (cos.f64 y)))
(fma.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y 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 #s(literal -2 binary64)))))) #s(literal -1/4 binary64)))) (/.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 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) z) (cos.f64 y)))
(fma.f64 (/.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) z) (cos.f64 y)))
(fma.f64 (/.f64 (sin.f64 y) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (/.f64 x (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)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/4 binary64))))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) z) (cos.f64 y)))
(fma.f64 (/.f64 (sin.f64 y) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y 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 #s(literal -2 binary64)))))) #s(literal -1/4 binary64)))) (/.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)) z) (cos.f64 y)))
(fma.f64 (/.f64 (*.f64 x (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) z) (cos.f64 y)))
(fma.f64 (/.f64 (*.f64 x (sin.f64 y)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 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 #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/4 binary64))))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) z) (cos.f64 y)))
(fma.f64 (/.f64 (*.f64 x (sin.f64 y)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y 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 #s(literal -2 binary64)))))) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) z) (cos.f64 y)))
(fma.f64 (/.f64 (*.f64 x (sin.f64 y)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) z) (cos.f64 y)))
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(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) z)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 y))))
(*.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)) z))
(*.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)) z)) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) z)
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 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 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) z) (cos.f64 y)))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) z) (sqrt.f64 (cos.f64 y))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 y))))
(*.f64 (/.f64 z (sqrt.f64 (cos.f64 y))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (cos.f64 y))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 z (cos.f64 y)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (cos.f64 y))) (/.f64 z (sqrt.f64 (cos.f64 y))))
(+.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) z)) (*.f64 #s(literal 1/2 binary64) z))
(+.f64 (*.f64 #s(literal 1/2 binary64) z) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) z)))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) z)) (*.f64 #s(literal 1/2 binary64) z))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) (*.f64 #s(literal 1/2 binary64) z)) (-.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) z)) (*.f64 #s(literal 1/2 binary64) z))))
(fma.f64 #s(literal 1/2 binary64) z (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) z)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) z) (*.f64 #s(literal 1/2 binary64) z))
(fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) z) (*.f64 #s(literal 1/2 binary64) z))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) z (*.f64 #s(literal 1/2 binary64) z))
(fma.f64 z #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) z)))
(fma.f64 z (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) z))
(fma.f64 (*.f64 #s(literal 1/2 binary64) z) (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) z))
(fma.f64 (*.f64 z (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) z))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) z) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 z (*.f64 z z)))) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) (*.f64 #s(literal 1/2 binary64) z)) (*.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) z)) (*.f64 #s(literal 1/2 binary64) z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) z) (*.f64 #s(literal 1/2 binary64) z))) (-.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) z)) (*.f64 #s(literal 1/2 binary64) z)))
(/.f64 (*.f64 z (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #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 #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/4 binary64)))))
(/.f64 (*.f64 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 #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)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) 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 #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/4 binary64)))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) z) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 z (*.f64 z z))))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) (*.f64 #s(literal 1/2 binary64) z)) (*.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) z)) (*.f64 #s(literal 1/2 binary64) z))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) z) (*.f64 #s(literal 1/2 binary64) z)))) (neg.f64 (-.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) z)) (*.f64 #s(literal 1/2 binary64) z))))
(/.f64 (neg.f64 (*.f64 z (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #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 #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (*.f64 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 #s(literal -2 binary64)))))) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) z)) (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 #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) z)) (neg.f64 (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 1/8 binary64) (*.f64 z (*.f64 z z)) (pow.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (*.f64 #s(literal 1/2 binary64) z) (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) z) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) z))))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) z)
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/.f64 x (/.f64 (*.f64 z z) y))
(/.f64 (*.f64 x y) (*.f64 z z))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (*.f64 x y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 z z) (*.f64 x y))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (neg.f64 (/.f64 (*.f64 z z) y)))
(/.f64 (neg.f64 (*.f64 x y)) (-.f64 #s(literal 0 binary64) (*.f64 z z)))
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 (*.f64 z z) y))
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) (*.f64 z z)))
(/.f64 (*.f64 x (/.f64 y z)) z)
(/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 z z) y))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) x) (-.f64 #s(literal 0 binary64) (*.f64 z z)))
(/.f64 (*.f64 (/.f64 y z) x) z)
(/.f64 (/.f64 (*.f64 x y) z) z)
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 z z) y)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (*.f64 z z) y)))
(/.f64 (neg.f64 (neg.f64 (*.f64 x y))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 0 binary64) y))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z))))
(/.f64 (neg.f64 (*.f64 x (/.f64 y z))) (-.f64 #s(literal 0 binary64) z))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) x)) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z))))
(/.f64 (neg.f64 (*.f64 (/.f64 y z) x)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (neg.f64 (/.f64 (*.f64 x y) z)) (-.f64 #s(literal 0 binary64) z))
(pow.f64 (/.f64 (*.f64 z z) (*.f64 x y)) #s(literal -1 binary64))
(*.f64 x (/.f64 y (*.f64 z z)))
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) x))
(*.f64 y (/.f64 x (*.f64 z z)))
(*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (/.f64 z y)))
(*.f64 (/.f64 y (*.f64 z z)) x)
(*.f64 (/.f64 y (*.f64 z z)) (/.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 y z) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (/.f64 y z) #s(literal 1 binary64)))
(*.f64 (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 z z)))
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) z)) (/.f64 (-.f64 #s(literal 0 binary64) y) z))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) z) (/.f64 x (-.f64 #s(literal 0 binary64) z)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1 binary64)) (/.f64 x (*.f64 z z)))
(exp.f64 (log.f64 (cos.f64 y)))
(cos.f64 y)
(pow.f64 (cos.f64 y) #s(literal 1 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #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)))

simplify433.0ms (4.3%)

Memory
38.9MiB live, 910.8MiB allocated
Algorithm
1×egg-herbie
Rules
6 478×accelerator-lowering-fma.f32
6 478×accelerator-lowering-fma.f64
6 052×*-lowering-*.f32
6 052×*-lowering-*.f64
2 230×neg-lowering-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04975646
115705502
247005478
082045078
Stop Event
1×iter limit
1×node limit
Counts
516 → 516
Calls
Call 1
Inputs
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(* x (+ (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))
(* x (+ (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))
(* x (+ (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(* -1 (* x (+ (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))
(* -1 (* x (+ (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))
(* -1 (* x (+ (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))
z
(+ z (* x y))
(+ z (* y (+ x (* y (- (* -1 z) (* -1/2 z))))))
(+ z (* y (+ x (* y (- (+ (* -1 z) (* y (- (* -7/6 x) (* -1 x)))) (* -1/2 z))))))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(+ (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* z (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2))))))
(* z (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2))))))
(* z (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2))))))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))
(* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))
(* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))
(/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))
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(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 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 (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) (cos.f64 y))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (sin.f64 y)) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (sin.f64 y)) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (sin.f64 y)) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (sin.f64 y)) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(* x (+ (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (/.f64 z (*.f64 (cos.f64 y) x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(* x (+ (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (/.f64 z (*.f64 (cos.f64 y) x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(* x (+ (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (/.f64 z (*.f64 (cos.f64 y) x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (sin.f64 y)) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(* -1 (* x (+ (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (/.f64 z (*.f64 (cos.f64 y) x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(* -1 (* x (+ (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (/.f64 z (*.f64 (cos.f64 y) x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(* -1 (* x (+ (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (/.f64 z (*.f64 (cos.f64 y) x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
z
(+ z (* x y))
(fma.f64 y x z)
(+ z (* y (+ x (* y (- (* -1 z) (* -1/2 z))))))
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(+ z (* y (+ x (* y (- (+ (* -1 z) (* y (- (* -7/6 x) (* -1 x)))) (* -1/2 z))))))
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z)
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (sin.f64 y)) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (sin.f64 y)) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (sin.f64 y)) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (sin.f64 y)) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (sin.f64 y)) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (sin.f64 y)) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (sin.f64 y)) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (sin.f64 y)) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (sin.f64 y)) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(+ (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(fma.f64 z (fma.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (sin.f64 y)) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(+ (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(fma.f64 z (fma.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (sin.f64 y)) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(+ (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(fma.f64 z (fma.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (sin.f64 y)) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(*.f64 z (fma.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* z (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2))))))
(*.f64 z (fma.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (fma.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
(* z (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2))))))
(*.f64 z (fma.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (fma.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
(* z (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2))))))
(*.f64 z (fma.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (fma.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) (cos.f64 y))
(* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))
(*.f64 z (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (sin.f64 y)) (/.f64 x (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (cos.f64 y))))
(* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))
(*.f64 z (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (sin.f64 y)) (/.f64 x (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (cos.f64 y))))
(* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))
(*.f64 z (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (sin.f64 y)) (/.f64 x (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (cos.f64 y))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 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)))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))
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(/.f64 (*.f64 y x) (*.f64 z z))
(/ (* x y) (pow z 2))
(/.f64 (*.f64 y x) (*.f64 z z))
(/ (* x y) (pow z 2))
(/.f64 (*.f64 y x) (*.f64 z z))
(/ (* x y) (pow z 2))
(/.f64 (*.f64 y x) (*.f64 z z))
(/ (* x y) (pow z 2))
(/.f64 (*.f64 y x) (*.f64 z z))
(/ (* x y) (pow z 2))
(/.f64 (*.f64 y x) (*.f64 z z))
(/ (* x y) (pow z 2))
(/.f64 (*.f64 y x) (*.f64 z z))
(/ (* x y) (pow z 2))
(/.f64 (*.f64 y x) (*.f64 z z))
(/ (* x y) (pow z 2))
(/.f64 (*.f64 y x) (*.f64 z z))
(/ (* x y) (pow z 2))
(/.f64 (*.f64 y x) (*.f64 z z))
(/ (* x y) (pow z 2))
(/.f64 (*.f64 y x) (*.f64 z z))
(/ (* x y) (pow z 2))
(/.f64 (*.f64 y x) (*.f64 z z))
(/ (* x y) (pow z 2))
(/.f64 (*.f64 y x) (*.f64 z z))
(/ (* x y) (pow z 2))
(/.f64 (*.f64 y x) (*.f64 z z))
(/ (* x y) (pow z 2))
(/.f64 (*.f64 y x) (*.f64 z z))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)

eval192.0ms (1.9%)

Memory
-21.1MiB live, 458.1MiB allocated
Compiler

Compiled 39 339 to 3 362 computations (91.5% saved)

prune191.0ms (1.9%)

Memory
8.4MiB live, 404.9MiB allocated
Pruning

58 alts after pruning (51 fresh and 7 done)

PrunedKeptTotal
New1 404221 426
Fresh82937
Picked415
Done066
Total1 416581 474
Accuracy
100.0%
Counts
1 474 → 58
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.7%
(fma.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) y z)
99.0%
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)) (*.f64 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)) (tan.f64 y))))
80.6%
(fma.f64 (/.f64 (sin.f64 y) z) (*.f64 x z) (*.f64 (cos.f64 y) z))
60.9%
(fma.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) z (*.f64 z (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 (cos.f64 y) #s(literal 2 binary64)))))
38.0%
(fma.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 y z)) y z)
38.0%
(fma.f64 (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 y y) z)
49.6%
(fma.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) y (fma.f64 y x z))
37.9%
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z)
✓99.9%
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
77.6%
(fma.f64 (sin.f64 y) x z)
✓99.9%
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
49.7%
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z)
32.7%
(fma.f64 y (fma.f64 y (-.f64 (-.f64 (fma.f64 z #s(literal 1/2 binary64) (/.f64 (*.f64 x x) z)) (/.f64 (*.f64 x x) z)) z) x) z)
38.0%
(fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) z)
38.0%
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y z) (*.f64 y #s(literal 1/24 binary64)) (*.f64 z #s(literal -1/2 binary64)))) z)
37.9%
(fma.f64 y (*.f64 y (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64)))) z)
✓51.2%
(fma.f64 y x z)
14.3%
(fma.f64 x (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) #s(literal 0 binary64))
61.0%
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) z) (cos.f64 y) (*.f64 (cos.f64 y) (*.f64 z #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))
18.4%
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 (*.f64 x y) z)) (*.f64 (-.f64 (*.f64 x y) z) (*.f64 z z))) (*.f64 (-.f64 (*.f64 x y) z) (-.f64 (*.f64 x y) z)))
28.8%
(/.f64 (-.f64 (*.f64 z z) (*.f64 x (*.f64 y (*.f64 x y)))) (-.f64 z (*.f64 x y)))
30.9%
(/.f64 (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z)) (-.f64 (*.f64 x y) z))
61.0%
(/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
15.0%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 (*.f64 x y)) z (*.f64 z z)) (*.f64 z (*.f64 z z))))
60.7%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (*.f64 x (sin.f64 y)) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) z))
10.8%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 z (*.f64 y y))) x)) x))
30.9%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x y) z) (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z))))
39.2%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) x)) z))
49.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) y (fma.f64 y x z))))
45.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 z x)) #s(literal -1 binary64))) z)))
40.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
14.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
40.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
35.0%
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) x))))
3.2%
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) (*.f64 y x)))
49.7%
(+.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x)) z)
77.6%
(+.f64 (*.f64 x (sin.f64 y)) z)
48.2%
(*.f64 (-.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64)) (/.f64 (*.f64 x y) z)) (-.f64 #s(literal 0 binary64) z))
30.8%
(*.f64 (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) z)))
39.6%
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (sin.f64 y)) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
14.3%
(*.f64 (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))) x)
14.3%
(*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) x)
18.3%
(*.f64 (*.f64 y y) (fma.f64 z #s(literal -1/2 binary64) (/.f64 (+.f64 x (/.f64 z y)) y)))
✓40.0%
(*.f64 (sin.f64 y) x)
92.3%
(*.f64 z (fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y))) (cos.f64 y)))
37.9%
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
70.1%
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) #s(literal 1 binary64)))
92.4%
(*.f64 z (fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) (sin.f64 y)) (cos.f64 y)))
✓61.0%
(*.f64 z (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))))
2.1%
(*.f64 z (*.f64 z (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (/.f64 z (*.f64 x (*.f64 x (*.f64 y y)))))))
61.4%
(*.f64 z (cos.f64 y))
14.3%
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/120 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))) (*.f64 x #s(literal -1/6 binary64))) x))
14.3%
(*.f64 y (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 y y) x))
40.6%
(*.f64 y (+.f64 x (/.f64 z y)))
90.1%
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
✓14.4%
(*.f64 x y)
3.0%
(*.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y y)))
✓40.3%
z
Compiler

Compiled 2 421 to 908 computations (62.5% saved)

regimes104.0ms (1%)

Memory
5.7MiB live, 176.1MiB allocated
Counts
86 → 1
Calls
Call 1
Inputs
z
(*.f64 x y)
(fma.f64 y x z)
(*.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y y)))
(*.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) z)
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(fma.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) y z)
(*.f64 y (+.f64 x (/.f64 z y)))
(+.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x)) z)
(*.f64 y (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 y y) x))
(*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(fma.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) y (fma.f64 y x z))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) (*.f64 y x)))
(fma.f64 y (*.f64 y (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64)))) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 y (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) z)
(fma.f64 (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 y y) z)
(fma.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 y z)) y z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z)
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z)
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y z) (*.f64 y #s(literal 1/24 binary64)) (*.f64 z #s(literal -1/2 binary64)))) z)
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64)) (/.f64 (*.f64 x y) z)) (-.f64 #s(literal 0 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) z)))
(/.f64 (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z)) (-.f64 (*.f64 x y) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z)))
(*.f64 (*.f64 y y) (fma.f64 z #s(literal -1/2 binary64) (/.f64 (+.f64 x (/.f64 z y)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) x)) z))
(/.f64 (-.f64 (*.f64 z z) (*.f64 x (*.f64 y (*.f64 x y)))) (-.f64 z (*.f64 x y)))
(*.f64 (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))) x)
(*.f64 (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) z)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) y (fma.f64 y x z))))
(fma.f64 x (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (/.f64 y (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x y) z) (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 (*.f64 x y)) z (*.f64 z z)) (*.f64 z (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) x))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 y y)) (*.f64 x #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/120 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))) (*.f64 x #s(literal -1/6 binary64))) x))
(*.f64 z (*.f64 z (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (/.f64 z (*.f64 x (*.f64 x (*.f64 y y)))))))
(fma.f64 y (fma.f64 y (-.f64 (-.f64 (fma.f64 z #s(literal 1/2 binary64) (/.f64 (*.f64 x x) z)) (/.f64 (*.f64 x x) z)) z) x) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 z x)) #s(literal -1 binary64))) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 z (*.f64 y y))) x)) x))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 (*.f64 x y) z)) (*.f64 (-.f64 (*.f64 x y) z) (*.f64 z z))) (*.f64 (-.f64 (*.f64 x y) z) (-.f64 (*.f64 x y) z)))
(*.f64 z (cos.f64 y))
(*.f64 (sin.f64 y) x)
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(fma.f64 (sin.f64 y) x z)
(+.f64 (*.f64 x (sin.f64 y)) z)
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(*.f64 z (fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) (sin.f64 y)) (cos.f64 y)))
(/.f64 (*.f64 z (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 (sin.f64 y) z) (*.f64 x z) (*.f64 (cos.f64 y) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(*.f64 z (fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y))) (cos.f64 y)))
(*.f64 z (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 (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) z (*.f64 z (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 (cos.f64 y) #s(literal 2 binary64)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (sin.f64 y)) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(fma.f64 (*.f64 x (*.f64 x (sin.f64 y))) (/.f64 (sin.f64 y) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) z)
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) z) (cos.f64 y) (*.f64 (cos.f64 y) (*.f64 z #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (*.f64 x (sin.f64 y)) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) z))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (*.f64 z (cos.f64 y)) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) x))
(/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
(*.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (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 z (cos.f64 y)) (*.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)) (tan.f64 y))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))) #s(literal -1/2 binary64)))
(fma.f64 x (*.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)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 z (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 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 x (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 z (cos.f64 y))))) (*.f64 (neg.f64 (*.f64 z z)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (fma.f64 x (sin.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 z (cos.f64 y)))))))
(fma.f64 (*.f64 x (*.f64 x (sin.f64 y))) (/.f64 (sin.f64 y) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(*.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (/.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.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 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.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 (sin.f64 y)) #s(literal 4 binary64)))))
Outputs
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
Calls

4 calls:

26.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
25.0ms
y
25.0ms
x
24.0ms
z
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1z
99.9%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes108.0ms (1.1%)

Memory
-23.2MiB live, 97.8MiB allocated
Counts
56 → 3
Calls
Call 1
Inputs
z
(*.f64 x y)
(fma.f64 y x z)
(*.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y y)))
(*.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) z)
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(fma.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) y z)
(*.f64 y (+.f64 x (/.f64 z y)))
(+.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x)) z)
(*.f64 y (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 y y) x))
(*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(fma.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) y (fma.f64 y x z))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) (*.f64 y x)))
(fma.f64 y (*.f64 y (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64)))) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 y (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) z)
(fma.f64 (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 y y) z)
(fma.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 y z)) y z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z)
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z)
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y z) (*.f64 y #s(literal 1/24 binary64)) (*.f64 z #s(literal -1/2 binary64)))) z)
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64)) (/.f64 (*.f64 x y) z)) (-.f64 #s(literal 0 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) z)))
(/.f64 (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z)) (-.f64 (*.f64 x y) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z)))
(*.f64 (*.f64 y y) (fma.f64 z #s(literal -1/2 binary64) (/.f64 (+.f64 x (/.f64 z y)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) x)) z))
(/.f64 (-.f64 (*.f64 z z) (*.f64 x (*.f64 y (*.f64 x y)))) (-.f64 z (*.f64 x y)))
(*.f64 (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))) x)
(*.f64 (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) z)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) y (fma.f64 y x z))))
(fma.f64 x (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (/.f64 y (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x y) z) (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 (*.f64 x y)) z (*.f64 z z)) (*.f64 z (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) x))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 y y)) (*.f64 x #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/120 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))) (*.f64 x #s(literal -1/6 binary64))) x))
(*.f64 z (*.f64 z (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (/.f64 z (*.f64 x (*.f64 x (*.f64 y y)))))))
(fma.f64 y (fma.f64 y (-.f64 (-.f64 (fma.f64 z #s(literal 1/2 binary64) (/.f64 (*.f64 x x) z)) (/.f64 (*.f64 x x) z)) z) x) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 z x)) #s(literal -1 binary64))) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 z (*.f64 y y))) x)) x))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 (*.f64 x y) z)) (*.f64 (-.f64 (*.f64 x y) z) (*.f64 z z))) (*.f64 (-.f64 (*.f64 x y) z) (-.f64 (*.f64 x y) z)))
(*.f64 z (cos.f64 y))
(*.f64 (sin.f64 y) x)
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(fma.f64 (sin.f64 y) x z)
(+.f64 (*.f64 x (sin.f64 y)) z)
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
Outputs
(fma.f64 (sin.f64 y) x z)
(*.f64 z (cos.f64 y))
(fma.f64 (sin.f64 y) x z)
Calls

4 calls:

41.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
30.0ms
y
18.0ms
x
16.0ms
z
Results
AccuracySegmentsBranch
90.1%3x
77.6%1y
88.0%3z
77.6%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes72.0ms (0.7%)

Memory
4.1MiB live, 84.4MiB allocated
Counts
52 → 4
Calls
Call 1
Inputs
z
(*.f64 x y)
(fma.f64 y x z)
(*.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y y)))
(*.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) z)
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(fma.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) y z)
(*.f64 y (+.f64 x (/.f64 z y)))
(+.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x)) z)
(*.f64 y (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 y y) x))
(*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(fma.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) y (fma.f64 y x z))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) (*.f64 y x)))
(fma.f64 y (*.f64 y (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64)))) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 y (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) z)
(fma.f64 (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 y y) z)
(fma.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 y z)) y z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z)
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z)
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y z) (*.f64 y #s(literal 1/24 binary64)) (*.f64 z #s(literal -1/2 binary64)))) z)
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64)) (/.f64 (*.f64 x y) z)) (-.f64 #s(literal 0 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) z)))
(/.f64 (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z)) (-.f64 (*.f64 x y) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z)))
(*.f64 (*.f64 y y) (fma.f64 z #s(literal -1/2 binary64) (/.f64 (+.f64 x (/.f64 z y)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) x)) z))
(/.f64 (-.f64 (*.f64 z z) (*.f64 x (*.f64 y (*.f64 x y)))) (-.f64 z (*.f64 x y)))
(*.f64 (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))) x)
(*.f64 (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) z)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) y (fma.f64 y x z))))
(fma.f64 x (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (/.f64 y (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x y) z) (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 (*.f64 x y)) z (*.f64 z z)) (*.f64 z (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) x))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 y y)) (*.f64 x #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/120 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))) (*.f64 x #s(literal -1/6 binary64))) x))
(*.f64 z (*.f64 z (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (/.f64 z (*.f64 x (*.f64 x (*.f64 y y)))))))
(fma.f64 y (fma.f64 y (-.f64 (-.f64 (fma.f64 z #s(literal 1/2 binary64) (/.f64 (*.f64 x x) z)) (/.f64 (*.f64 x x) z)) z) x) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 z x)) #s(literal -1 binary64))) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 z (*.f64 y y))) x)) x))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 (*.f64 x y) z)) (*.f64 (-.f64 (*.f64 x y) z) (*.f64 z z))) (*.f64 (-.f64 (*.f64 x y) z) (-.f64 (*.f64 x y) z)))
(*.f64 z (cos.f64 y))
(*.f64 (sin.f64 y) x)
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
Outputs
(*.f64 (sin.f64 y) x)
(*.f64 z (cos.f64 y))
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(*.f64 (sin.f64 y) x)
Calls

4 calls:

24.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
16.0ms
x
14.0ms
z
14.0ms
y
Results
AccuracySegmentsBranch
77.3%4y
61.4%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
75.4%3z
73.5%3x
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes67.0ms (0.7%)

Memory
-6.5MiB live, 69.6MiB allocated
Counts
49 → 3
Calls
Call 1
Inputs
z
(*.f64 x y)
(fma.f64 y x z)
(*.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y y)))
(*.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) z)
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(fma.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) y z)
(*.f64 y (+.f64 x (/.f64 z y)))
(+.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x)) z)
(*.f64 y (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 y y) x))
(*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(fma.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) y (fma.f64 y x z))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) (*.f64 y x)))
(fma.f64 y (*.f64 y (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64)))) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 y (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) z)
(fma.f64 (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 y y) z)
(fma.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 y z)) y z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z)
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z)
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y z) (*.f64 y #s(literal 1/24 binary64)) (*.f64 z #s(literal -1/2 binary64)))) z)
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64)) (/.f64 (*.f64 x y) z)) (-.f64 #s(literal 0 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) z)))
(/.f64 (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z)) (-.f64 (*.f64 x y) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z)))
(*.f64 (*.f64 y y) (fma.f64 z #s(literal -1/2 binary64) (/.f64 (+.f64 x (/.f64 z y)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) x)) z))
(/.f64 (-.f64 (*.f64 z z) (*.f64 x (*.f64 y (*.f64 x y)))) (-.f64 z (*.f64 x y)))
(*.f64 (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))) x)
(*.f64 (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) z)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) y (fma.f64 y x z))))
(fma.f64 x (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (/.f64 y (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x y) z) (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 (*.f64 x y)) z (*.f64 z z)) (*.f64 z (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) x))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 y y)) (*.f64 x #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/120 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))) (*.f64 x #s(literal -1/6 binary64))) x))
(*.f64 z (*.f64 z (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (/.f64 z (*.f64 x (*.f64 x (*.f64 y y)))))))
(fma.f64 y (fma.f64 y (-.f64 (-.f64 (fma.f64 z #s(literal 1/2 binary64) (/.f64 (*.f64 x x) z)) (/.f64 (*.f64 x x) z)) z) x) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 z x)) #s(literal -1 binary64))) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 z (*.f64 y y))) x)) x))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 (*.f64 x y) z)) (*.f64 (-.f64 (*.f64 x y) z) (*.f64 z z))) (*.f64 (-.f64 (*.f64 x y) z) (-.f64 (*.f64 x y) z)))
(*.f64 z (cos.f64 y))
Outputs
(*.f64 z (cos.f64 y))
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z)
(*.f64 z (cos.f64 y))
Calls

3 calls:

34.0ms
z
16.0ms
x
14.0ms
y
Results
AccuracySegmentsBranch
68.0%3x
67.9%3z
73.1%3y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes89.0ms (0.9%)

Memory
7.4MiB live, 88.0MiB allocated
Counts
48 → 1
Calls
Call 1
Inputs
z
(*.f64 x y)
(fma.f64 y x z)
(*.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y y)))
(*.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) z)
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(fma.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) y z)
(*.f64 y (+.f64 x (/.f64 z y)))
(+.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x)) z)
(*.f64 y (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 y y) x))
(*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(fma.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) y (fma.f64 y x z))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) (*.f64 y x)))
(fma.f64 y (*.f64 y (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64)))) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 y (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) z)
(fma.f64 (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 y y) z)
(fma.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 y z)) y z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z)
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z)
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y z) (*.f64 y #s(literal 1/24 binary64)) (*.f64 z #s(literal -1/2 binary64)))) z)
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64)) (/.f64 (*.f64 x y) z)) (-.f64 #s(literal 0 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) z)))
(/.f64 (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z)) (-.f64 (*.f64 x y) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z)))
(*.f64 (*.f64 y y) (fma.f64 z #s(literal -1/2 binary64) (/.f64 (+.f64 x (/.f64 z y)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) x)) z))
(/.f64 (-.f64 (*.f64 z z) (*.f64 x (*.f64 y (*.f64 x y)))) (-.f64 z (*.f64 x y)))
(*.f64 (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))) x)
(*.f64 (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) z)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) y (fma.f64 y x z))))
(fma.f64 x (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (/.f64 y (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x y) z) (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 (*.f64 x y)) z (*.f64 z z)) (*.f64 z (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) x))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 y y)) (*.f64 x #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/120 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))) (*.f64 x #s(literal -1/6 binary64))) x))
(*.f64 z (*.f64 z (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (/.f64 z (*.f64 x (*.f64 x (*.f64 y y)))))))
(fma.f64 y (fma.f64 y (-.f64 (-.f64 (fma.f64 z #s(literal 1/2 binary64) (/.f64 (*.f64 x x) z)) (/.f64 (*.f64 x x) z)) z) x) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 z x)) #s(literal -1 binary64))) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 z (*.f64 y y))) x)) x))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 (*.f64 x y) z)) (*.f64 (-.f64 (*.f64 x y) z) (*.f64 z z))) (*.f64 (-.f64 (*.f64 x y) z) (-.f64 (*.f64 x y) z)))
Outputs
(fma.f64 y x z)
Calls

4 calls:

42.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
18.0ms
x
13.0ms
z
13.0ms
y
Results
AccuracySegmentsBranch
51.2%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
51.2%1z
51.2%1x
51.2%1y
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes7.0ms (0.1%)

Memory
10.3MiB live, 10.3MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
z
(*.f64 x y)
Outputs
z
(*.f64 x y)
Calls

4 calls:

2.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
2.0ms
z
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
42.2%2x
40.3%1y
43.5%3z
40.3%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes4.0ms (0%)

Memory
7.0MiB live, 7.0MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
z
Outputs
z
Calls

3 calls:

1.0ms
x
1.0ms
y
1.0ms
z
Results
AccuracySegmentsBranch
40.3%1y
40.3%1z
40.3%1x
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch66.0ms (0.7%)

Memory
7.2MiB live, 46.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
19.0ms
5.670075967112853e-171
3.2444898633998123e-152
44.0ms
-1.8393238389854132e-25
-5.183180975134574e-29
Samples
54.0ms288×0valid
Compiler

Compiled 321 to 230 computations (28.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-add: 30.0ms (63.9% of total)
ival-sin: 8.0ms (17% of total)
ival-cos: 6.0ms (12.8% of total)
ival-mult: 4.0ms (8.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch97.0ms (1%)

Memory
-37.0MiB live, 41.7MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
6.7674022074934685e-15
3.629122962428671
13.0ms
-1.6144481600971452
-9.355658582700149e-8
42.0ms
-6.925301870551592e+210
-1.0170704074806718e+210
Samples
28.0ms400×0valid
Compiler

Compiled 510 to 352 computations (31% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-sin: 7.0ms (37.7% of total)
ival-cos: 5.0ms (26.9% of total)
ival-mult: 5.0ms (26.9% of total)
ival-add: 2.0ms (10.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch22.0ms (0.2%)

Memory
21.4MiB live, 21.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
7.0ms
140759759994599540.0
179815274459869950.0
13.0ms
-1.6144481600971452
-9.355658582700149e-8
Samples
14.0ms192×0valid
Compiler

Compiled 327 to 218 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-cos: 3.0ms (32.9% of total)
ival-sin: 3.0ms (32.9% of total)
ival-mult: 2.0ms (21.9% of total)
ival-add: 1.0ms (11% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Memory
17.5MiB live, 17.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
17.0ms
3.701156731274607e+187
6.0928869987835345e+196
Samples
12.0ms144×0valid
Compiler

Compiled 123 to 95 computations (22.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-cos: 3.0ms (35.5% of total)
ival-sin: 3.0ms (35.5% of total)
ival-mult: 2.0ms (23.7% of total)
ival-add: 1.0ms (11.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify54.0ms (0.5%)

Memory
-28.7MiB live, 20.0MiB allocated
Algorithm
1×egg-herbie
Rules
12×*-commutative_binary64
4×if-if-or-not_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04699
15899
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(if (<=.f64 x #s(literal -2676089423823675/5575186299632655785383929568162090376495104 binary64)) (fma.f64 (sin.f64 y) x z) (if (<=.f64 x #s(literal 5189198334129619/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936 binary64)) (*.f64 z (cos.f64 y)) (fma.f64 (sin.f64 y) x z)))
(if (<=.f64 y #s(literal -3800000000000000277825152296368439770241406235675979266160502972876227204503612837126380958546658168136920614398850998762726306080999235697480782513608202683669361890062548219875373539958477033696159624243183616 binary64)) (*.f64 (sin.f64 y) x) (if (<=.f64 y #s(literal -1080863910568919/72057594037927936 binary64)) (*.f64 z (cos.f64 y)) (if (<=.f64 y #s(literal 1261007895663739/36028797018963968 binary64)) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z) (*.f64 (sin.f64 y) x))))
(if (<=.f64 y #s(literal -3458764513820541/36028797018963968 binary64)) (*.f64 z (cos.f64 y)) (if (<=.f64 y #s(literal 142000000000000000 binary64)) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z) (*.f64 z (cos.f64 y))))
(fma.f64 y x z)
(if (<=.f64 x #s(literal 600000000000000064050075778176449489732526560722298899748035258889240953327287469036391530140773707679161128235863666886869343949300906189449043352341531667080905759866588458923224768827709456384 binary64)) z (*.f64 x y))
z
Outputs
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(if (<=.f64 x #s(literal -2676089423823675/5575186299632655785383929568162090376495104 binary64)) (fma.f64 (sin.f64 y) x z) (if (<=.f64 x #s(literal 5189198334129619/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936 binary64)) (*.f64 z (cos.f64 y)) (fma.f64 (sin.f64 y) x z)))
(if (<=.f64 x #s(literal -2676089423823675/5575186299632655785383929568162090376495104 binary64)) (fma.f64 (sin.f64 y) x z) (if (<=.f64 x #s(literal 5189198334129619/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936 binary64)) (*.f64 (cos.f64 y) z) (fma.f64 (sin.f64 y) x z)))
(if (<=.f64 y #s(literal -3800000000000000277825152296368439770241406235675979266160502972876227204503612837126380958546658168136920614398850998762726306080999235697480782513608202683669361890062548219875373539958477033696159624243183616 binary64)) (*.f64 (sin.f64 y) x) (if (<=.f64 y #s(literal -1080863910568919/72057594037927936 binary64)) (*.f64 z (cos.f64 y)) (if (<=.f64 y #s(literal 1261007895663739/36028797018963968 binary64)) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z) (*.f64 (sin.f64 y) x))))
(if (<=.f64 y #s(literal -3800000000000000277825152296368439770241406235675979266160502972876227204503612837126380958546658168136920614398850998762726306080999235697480782513608202683669361890062548219875373539958477033696159624243183616 binary64)) (*.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal -1080863910568919/72057594037927936 binary64)) (*.f64 (cos.f64 y) z) (if (<=.f64 y #s(literal 1261007895663739/36028797018963968 binary64)) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z) (*.f64 x (sin.f64 y)))))
(if (<=.f64 y #s(literal -3458764513820541/36028797018963968 binary64)) (*.f64 z (cos.f64 y)) (if (<=.f64 y #s(literal 142000000000000000 binary64)) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z) (*.f64 z (cos.f64 y))))
(if (<=.f64 y #s(literal -3458764513820541/36028797018963968 binary64)) (*.f64 (cos.f64 y) z) (if (<=.f64 y #s(literal 142000000000000000 binary64)) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z) (*.f64 (cos.f64 y) z)))
(fma.f64 y x z)
(if (<=.f64 x #s(literal 600000000000000064050075778176449489732526560722298899748035258889240953327287469036391530140773707679161128235863666886869343949300906189449043352341531667080905759866588458923224768827709456384 binary64)) z (*.f64 x y))
(if (<=.f64 x #s(literal 600000000000000064050075778176449489732526560722298899748035258889240953327287469036391530140773707679161128235863666886869343949300906189449043352341531667080905759866588458923224768827709456384 binary64)) z (*.f64 y x))
z

soundness1.1s (10.8%)

Memory
19.4MiB live, 526.9MiB allocated
Rules
12 858×accelerator-lowering-fma.f32
12 858×accelerator-lowering-fma.f64
11 256×accelerator-lowering-fma.f32
11 256×accelerator-lowering-fma.f64
7 934×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09157573
132757328
082346966
0821
12421
218021
3185321
0821320
029149
1185129
01714125
0109682
1344678
2991668
32652662
44669662
56964662
08196606
04743969
115093918
250483871
082283568
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 299 to 169 computations (43.5% saved)

preprocess178.0ms (1.8%)

Memory
-8.1MiB live, 164.7MiB allocated
Compiler

Compiled 242 to 106 computations (56.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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